How do you find the missing sides of the right triangle.

Answers

Answer 1

The right triangle having the hypotenuse has x = 17.88.

What is right triangle?

Since a right triangle's three interior angles always add up to 90 degrees and a triangle's three interior angles always add up to 180 degrees, the other two interior angles must also always add up to 90 degrees (they are complementary).

Hypotenuse refers to the side across from the right angle. The legs are the sides extending from the right angle. If applying the Pythagorean Theorem, the hypotenuse or its length is frequently denoted with a lowercase c. A and B are typically used to denote the legs' lengths.

Using trigonometry rule

Cos 33° = 15/x

x = 17.88

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Related Questions

Petsmart's marketing team finds in their most recent report that they sell 45 guinea pigs a
year. Their sales team wanted to increase their sales and grabbed a sample of 8 types of
rodents to put on a flash sale. They sold an average of 34 rodents with a standard
deviation of 21 rodents.

Answers

Answer:

p(x)=x3-3x2+4x+50 and g(x)=x-3

josh is looking to get a new car because he decided he was spending too much on gas. over the past year he found that he drove 7,700 miles. at current gas prices [ youll need to actually consider your current cost for gasoline ]. he was getting about 27 miles per gallon. if he bought a vehicle that realizes 33 miles per gallon. what might be a reasonable estimate of monthly gas costs?

Answers

Josh's monthly fuel expenses are $1,050.

Prices

Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:

27 = 10033 = X3300 / 27 = X122.22 = X122.22 = 100100 = X10000 / 122.22 = X81.81 = X(7700 / 33) x 4.5 = X233.33 x 4.5 = X1050 = X

Therefore, Josh's monthly fuel expenses are $1,050.

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Answer:Josh's monthly fuel expenses are $1,050.

Step-by-step explanation:

Given that L1 || L2, find the measures of angles a and b when 0 = 43°

Answers

Answer:

a = 43 degrees

b = 137 degrees

Step-by-step explanation:

according to the alternate interior angle theorem, angle a equals angle theta, so angle a = 43 degrees

angle b is the supplement of angle a, so angle b = 180-angle a, or 137

select the correct answer which graph is defined by f(x)= |x^2 -x-2|

Answers

The graph of the absolute value function can be seen below.

How to get the graph of f(x)?

Here we have the absolute value function:

[tex]f(x) = |x^2 - x -2|[/tex]

Notice that the argument of the absolute value function is a quadratic equation, then the graph of the function f(x) will be the graph of the quadratic equation, but such that the part below the horizontal axis is reflected.

Then the graph of the function is the one you can see below:

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Miguelle is deciding which type of heating system to put in his house. An oil system costs $2700 to install and
$900 per year to operate. A solar system costs $9000 to install and $200 per year to operate.

Determine your variables
Let=
Let=

2. Create your equations and number them.

3.Solve the linear system using ELIMINATION OR SUBSTITUTION.

Answers

Answer: (9, 10800)

Step-by-step explanation:

We will first let x be the number of years and y be the total cost.

In that case, let's plug in the values for each into the equation y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept will be the value we start with before any years pass, so it will be the installation cost. The slope is how fast the total cost will increase. Since the operation costs have to be added on every year, it will be our slope.

With that in mind, let's create both of our equations:

y = 900x + 2700 (Oil system)y = 200x + 9000 (Solar system)

Since y is solved for in the first equation, we can substitute it into the second equation:

[tex]900x + 2700 = 200x + 9000[/tex]

[tex]700x + 2700 = 9000[/tex] [Subtracting 200x from both sides]

[tex]700x = 6300[/tex] [Subtracting 2700 from both sides]

[tex]x = 9[/tex] [Dividing both sides by 700]

We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:

[tex]y = 900(9) + 2700[/tex]

[tex]y = 8100 + 2700[/tex] [Multiplying]

[tex]y = 10800[/tex] [Adding]

Hence, the solution to this linear system is (9, 10800).

Find the area of the trapezoid. 15ft 10ft 20ft

Answers

Answer: 175 ft squared

Step-by-step explanation: A= a + b / 2h= 20 + 152 · 10 = 175

Write the number in words 203681

Answers

Answer:

203681

203,681

Two hundred and three thousand, six hundred eighty-one

Step-by-step explanation:

The number 203681 in words can be written as two hundred and three thousands, six hundred and eighty-one.

In the question, we are asked to write the number 203681 in words.

In the given number, we have:

1 at the units place,8 at the tens place,6 at the hundreds place,3 at the thousands place,0 at the ten thousand places, and2 and the hundred thousand place.

Keeping the thousands as different section, we have 203 in thousands section, and 681 in the remaining.

203 can be named as two hundred and three.

681 can be named as six hundred and eighty-one.

Since, 203 is in the thousands section, we add thousand in its name.

Thus, the name we get is two hundred and three thousands, six hundred and eighty-one.

Thus, the number 203681 in words can be written as two hundred and three thousands, six hundred and eighty-one.

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NO LINKS!! Please help me with this problem.

What is the standard form of the equation of the ellipse?

Answers

Answer:

[tex]\dfrac{x^2}{49}+\dfrac{y^2}{36}=1[/tex]

Step-by-step explanation:

From inspection of the given graph, we can see that the center of the ellipse is the origin (0, 0) and the longest diameter of the ellipse is across the x-axis.

Therefore, we can use the general equation of a horizontal ellipse with its center at (0, 0):

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

where:

center = (0, 0)Vertices = (±a, 0)Co-vertices = (0, ±b)Foci = (±c, 0) where c²=a²−b²Major Axis: longest diameter (2a)Minor Axis: shortest diameter (2b)Major radius: one half of the major axis (a)Minor radius: one half of the minor axis (b)

From inspection of the ellipse:

Vertices = (-7, 0) and (7, 0)Co-vertices = (0, 6) and (0, -6)

Therefore, a = 7 and b = 6

Substitute the found values of a and b into the formula:

[tex]\implies \dfrac{x^2}{7^2}+\dfrac{y^2}{6^2}=1[/tex]

[tex]\implies \dfrac{x^2}{49}+\dfrac{y^2}{36}=1[/tex]

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The given figure shows a Horizontal Ellipse with its centre at origin, and as we observe the figure, we can conclude that :

Length of major axis is :

[tex]\qquad \sf \dashrightarrow \: 2a = 14[/tex]

[tex]\qquad \sf \dashrightarrow \: a = 7[/tex]

and that of minor axis :

[tex]\qquad \sf \dashrightarrow \: 2b = 12[/tex]

[tex]\qquad \sf \dashrightarrow \: b = 6[/tex]

Equation of Ellipse will be ~

[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {a}^{2} } + \dfrac{ {y}^{2} }{ {b}^{2} } = 1[/tex]

[ plug in the values ]

[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {7}^{2} } + \dfrac{ {y}^{2} }{ {6}^{2} } = 1[/tex]

[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {49}^{} } + \dfrac{ {y}^{2} }{ {36}^{} } = 1[/tex]

Billy eats 28 apples and he had 40 apples at the start a kid asks for an apple how many apples are there left?

Answers

Answer: 11

Step-by-step explanation: 40-28= 12-1=11

Answer:

11 apples are left.

Step-by-step explanation:

Since Billy ate 28 apples from the 40 apples he had at the start, you have to subtract 40-28, which equals 12. Lastly, you subtract 12-1, since a kid asks Billy for an apple.

The equation y=123.1(1.065)* models the number of college students (in thousands) who studied abroad each year from 1998 through 2013. In this equation, y is the
number of students from a certain country studying abroad (in thousands) and x represents the number of years after 1998.
a. Estimate the number of students studying abroad in 2003.
b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.

Answers

The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433

a. Estimate the number of students studying abroad in 2003.

The function is given as:

y = 123(1.065)^x

Where x represents years from 1998 to 2013

2003 is 5 years from 1998.

This means that

x = 5

Substitute the known values in the above equation

y = 123(1.065)^5

Evaluate the exponent

y = 123 * 1.37008666342

Evaluate the product

y = 168.520659601

Approximate

y = 169

Hence, the estimate of the number of students studying abroad in 2003 is 169

b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.

2018 is 20 years from 1998.

This means that

x = 20

Substitute the known values in the above equation

y = 123(1.065)^20

Evaluate the exponent

y = 123 * 3.52364506352

Evaluate the product

y = 433.408342813

Approximate

y = 433

Hence, the estimate of the number of students studying abroad in 2018 is 433

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For csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.

Answers

The value of the ratio based on the angle illustrated is 1:12.

How to illustrate the information?

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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The Florida VPK assessment is considered a progress monitoring tool when administered at two assessments periods across the school year.

a. True
b. False

Answers

The given statement about the Florida VPK assessment administered at two assessments periods across the school year is; B: False

What is the Progress Monitoring Tool?

Progress monitoring or CBM is a term used in the education field to describe the process whereby the progress of students in areas like mathematics, reading, and writing are monitored on a daily and weekly basis.

Now, in Florida in the United States, This progress monitoring is called Florida Voluntary Prekindergarten (VPK) Assessment. There is usually a different version of each assessment measure that will be administered at three different times during the school-year VPK Program.

Thus, the given statement is false.

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Answer:

Step-by-step explanation:

false

define cultural identity in your own words

Answers

Simply put, cultural identity is what identifies one with a group of shared identities such as music, traditions, among others.

What is Cultural Identity?

Cultural identity can be defined as the self-perception of an individual which gives them a sense of belonging to an identical group that shares same qualities which may included music, food, traditions, social class, beliefs, ethnicity, among others.

In summary, we can say that cultural identity is what identifies one with a group of shared identities such as music, traditions, among others.

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Geometry Question!! PLEASE HELp

Answers

The difference between the distance travelled by any point on the record and it's label is; 27.57cm.

What is the difference between the distance travelled in each case?

According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;

Difference = π(17.78 - 9)

Difference = (22/7) × 8.78

Difference = 27.57cm.

Answers

Here is your answer to this question.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls <3

Answers

Answer:

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let's write the equation of the line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.

Identify 2 coordinates on the line to calculate the slope.

The 2 points are (1, 2) and (4, 4).

Slope

[tex]=\frac{y_1-y_2}{x_1-x_2}[/tex]

= [tex]\frac{4-2}{4-1}[/tex]

= [tex]\frac{2}{3}[/tex]

Substitute the value of the slope into m:

[tex]y=\frac{2}{3}x+c[/tex]

Substitute any point into the equation to find c:

When x= 1, y= 2,

[tex]2= \frac{2}{3}(1)+c[/tex]

Solve for c:

[tex]c= 2-\frac{2}{3}[/tex]

c= [tex]\frac{4}{3}[/tex]

Thus, the equation that represents the line is [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex].

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The pH of a fruit juice is 5.6. Find the hydronium ion concentration, [H3O+], of the juice. Use the formula pH=-log[H3O+].
The hydronium ion concentrate H 30 plus as approximately? moles per liter

Answers

The hydroxonium ion concentration of the fruit juice whose pH as given in the task content is; 5.6 can be evaluated as; [H3O+] = 2.51 × 10^-6.

What is the hydroxonium ion concentration of the fruit juice whose pH is 5.6?

Since the given pH of the fruit juice is 5.6, the hydroxonium ion concentration of the fruit juice can be evaluated by means of the formula as follows;

pH=-log[H3O+].

5.6 = -log[H3O+].

-5.6 = log[H3O+].

[H3O+] = antilogarithm (-5.6)

[H3O+] = 2.51 × 10^-6.

Answers

Answer:

14 days

Step-by-step explanation:

let assume they both work on Monday (today)

devin works every 7 days,that is devin works every Monday.

jamie has to work for 14 days inorder to work with devin again

Find the surface area of this cone.

60π m2

20π m2

36π m2

54π m2

Answers

The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of a cone with radius (r) and slant height (l) is:

S.A = πr(r + l)

Given that r = 4, l = 5, hence:

S.A = π(4)(4 + 5) = 36π m²

The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²

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Answer:

36π m2

Step-by-step explanation:

What is the value of p

Answers

Answer:

Step-by-step explanation:

You have the correct answer selected: 2.

The reason for this is that when there are exponents inside and outside of the parenthesis like this, they are multiplied.

2 times 2 is 4. That's why (8^2)^2 = 8^4

Answer:

p = 2

Step-by-step explanation:

[tex](8^{2}) ^{p}[/tex] = [tex]8^{4}[/tex]

[tex]8^{2p}[/tex] = [tex]8^{4}[/tex]

[tex]8^{p}[/tex] = [tex]8^{\frac{4}{2}[/tex]

p = 2

What is the sum of the
HCF and
LCM of the
number
2³ x 3² x 5x7 and
2² x 5² x 11

Answers

Step-by-step explanation:

. Find the factors of 330.

(a)2 x 4 x 5 x 11

(b)2 x 3 x 7 x 13

(d)2 x 3 x 5 x 11

Show Answer

2. Find the factors of 1122.

(a)3 x 9 x 17 x 2

(b)3 x 11 x 17 x 2

(d)3 x 11 x 17 x 3

Show Answer

3. 252 can be expressed as a product of primes as

(a)2 x 2 x 3 x 3 x 7

(b)2 x 2 x 2 x 3 x 7

(d)2 x 3 x 3 x 3 x 7

Show Answer

4. Which of the following has most number of divisors?

(a)99

(b)101

(d)182

Show Answer

5. A number n is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n. An example of perfect number is

(a)6

(b)9

(d)21

Show Answer

6. 1095/1168 when expressed in simplest form is

(a)13 / 16

(b)15 / 16

(d)25 / 26

Show Answer

7. Reduce 128352 / 238368 to its lowest terms

(a)3/4

(b)5/13

(d)9/13

Show Answer

8. The simplest reduction to the lowest terms of 116,690,151 / 427,863,887 is

(a)3/11

(b)7/11

(d)None of these

Show Answer

9. The highest common factor of 0 and 6 is

(a)0

(b)3

(d)Undefined

Show Answer

10. The H.C.F. of 2² x 3³ x 5⁵, 2³ x 3² x 5² x 7 and 2⁴ x 3⁴ x 5 x 7² x 11 is

(a)2² x 3² x 5

(b)2² x 3² x 5 x 7 x 11

(d)2⁴ x 3⁴ x 5⁵ x 7 x 11

Show Answer

11. The H.C.F. of 2⁴ x 3² x 5³ x 7, 2³ x 3³ x 5² x 7² and 3 x 5 x 7 x 11 is

(a)105

(b)1155

(d)27720

Show Answer

12. H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is

(a)180

(b)360

(d)1260

Show Answer

13. Find the highest common factor of 36 and 84.

(a)4

(b)6

(d)18

Show Answer

14. Even numbers are formed by taking at least two at a time from the numbers 0, 4, 8, 9. Their H.C.F. is

(a)2

(b)4

(d)None of these

Show Answer

Find the length of a segment in the coordinate plane with endpoints (-4,-5) and (8, 1).

Answers

Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

Answer:

L = 9.49 units

Step-by-step explanation:

From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6. These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:

12^2 = 144 and 6^2 = 36.

Combining these results in the length of the diagonal:

L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem

Rounding off, we get L = 9.49 units

Question 1 1.1 Given the quadratic number pattern: 5; 10; 17; 26;.. 1.1.1 Write down the next TWO terms of the pattern. 1.1.2 D Determine the formula for the nth term of the patter 1.1.3 Which term of the pattern will have a value of 1765? 1.2 Given the quadratic pattern:x; 6; 9; y; 24; Calculate the sum of x and y. Question 2 COFF 8(1:2)

Answers

The next two terms of the sequence based on the information given is 37 and 50.

How to illustrate the sequence?

It should be noted that from the information given, the numbers illustrated are 5, 10, 17, and 26.

In this case, there is an addition of 2 to the previous difference.

Therefore, 26 - 17 = 9.

The next number will be:

= 26 + 9 + 2 =37

The following number will be:

= 37 + 11 + 2

= 50

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Which choice is a term in this expression -3x - 7(x+4)

Answers

-3x is a term in the expression -3x - 7(x+4)

How to determine the term?

The expression is given as:

-3x - 7(x+4)

Considering the following expression

Ax + B(x - b)

The terms in the expressions are Ax and B(x - b)

This means that -3x is a term in the expression -3x - 7(x+4)

Answers

Answer: 2.01

Step-by-step explanation:

[tex]5\ln x=3.5\\\\x=\frac{3.5}{5}\\\\x=e^{3.5/5}\\\\x \approx 2.01[/tex]

A tree is 14 meters tall. What is its height in feet? Use the following conversion: 1 meter is 3.3 feet

Answers

The answer is 46.2ft tall

You have a job earning $12.50 per hour, and you receive a raise so that you earn $13.25 per hour. What is the percent change in your salary?

Answers

Answer: 6 %

Step-by-step explanation: 6 % of 12.5 = 0.75. 12.5 plus 0.75 = 13.25

In math class, James, Hadley, and Gwen were challenged to go stand on the field in a random location and find the distance between themselves using only one length. They were also each given a protractor to find the angle between each other. Using this diagram, solve for the missing side lengths of the triangle. Round to the nearest hundredth. A triangle where James, Hadley, and Gwen are labelled on the vertices. The angle of James is 61 degrees, Hadley is 73 degrees, and Gwen is 46 degrees. The one length that is labelled is between James and Hadley and measures at 15 meters. Gwen to Hadley is what? Gwen to James is what?

Answers

The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;

Gwen to Hadley ≈ 18.24 meters

Gwen to James ≈ 19.94 meters

How can the distances between the students be found?

The given angles are;

At James's location; 61°

At Hadley's location; 73°

At Gwen's location; 46°

The distance between James and Hadley = 15 meters

The angle facing the distance between James and Hadley is the angle at Gwen, 46°

The angle facing the distance between Gwen and James is the angle at Hadley, 73°

The angle facing the distance between Gwen and Hadley is the angle at James, 61°

The angle that faces the 15 meter length is the angle at Gwen, which is 46°

By the rule of sines, the distance from Gwen to Hadley is therefore;

[tex] \frac{15}{sin( 46 ^ \circ)} = \frac{Gwen \: to \: Hadley}{sin( 61 ^ \circ)} [/tex]

Which gives;

[tex] Gwen \: to \: Hadley= \frac{15 \times sin( 61 ^ \circ) }{sin( 46 ^ \circ)} \approx 18.24[/tex]

Gwen to Hadley ≈ 18.24 meters

Similarly, we have;

[tex] \frac{15}{sin( 46 ^ \circ} = \frac{Gwen \: to \: James}{sin( 73 ^ \circ)} [/tex]

Therefore;

[tex] Gwen \: to \: James = \frac{15 \times sin( 73 ^ \circ) }{sin(46 ^ \circ)} \approx 19.94 [/tex]

Gwen to James ≈ 19.94 meters

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Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9 dimes and 15 quarters. What is the total amount of the deposit?

Answers

The total amount of the deposit is $592.92.

What is the total amount of the deposit?

The total amount of the deposit can be determined by adding all the money deposited together.

(47 x 1) + (22 x 5) + (9 x 10) + (17 x 20) + (67 x 0.01) + (0.05 x 12) + (9 x 0.1) + (15 x 0.25)

47 + 110 + 90 + 340 + 0.67 + 0.60 + 0.9 + 3.75 = $592.92

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which of the following statements is true about the solution of the system? 2x-y=8 and y=2x-3

Answers

Answer:

no roots.

Step-by-step explanation:

[tex]\left \{ {{2x-y=8} \atop {y=2x-3}} \right. \ = > \ \left \{ {{2x-y=8} \atop {2x-y=3}} \right. \ = > \ no \ solution.[/tex]

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