Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be used to find the missing leg in the triangle? a2 202 = 162 202 162 = a2 a2 162 =202 16 a2 = 20.

The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

A function is a rule that relates two variables.

Let us check the x-intercept, y-intercept, and maximum value for each function.

1)y =-3Sin(x)

for x-intercept put y=0

0 = -3Sin(x)

Sin(x) =0

x=0

for y-intercept put x=0

y=-3Sin0

y=0

The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3

Similarly, for y = -3cos(x)

x-intercept =π/2

y-intercept = 3

Maximum value of function = lower limit  of the range of  3cos(x) i.e. 3

Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

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Answer:

B.    y = –3cos(x)

Step-by-step explanation:

Im extremely sure, have a great day

Answer:

28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18

Step-by-step explanation:

Simple math hope this helped

Answer:

5%

Step-by-step explanation:

(240 - 252/240)×100

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x is 68°

Answer:

x=7.51

Step-by-step explanation:

Tangent would be the easiest option here in this problem so to do this set up the proportion

[tex] \frac{ \tan(30) }{1} = \frac{x}{13}[/tex]

Cross multiply to get x=tan30(13)

Multiply tan30 by 13 to get the answer to x which is

x=7.51 rounded to the nearest hundredth

Answer:

5

Step-by-step explanation:

5 158/559

= 5 + 158/559

= 5 + 0.28264758

= 5.28264758

= 5 (rounded to nearest whole number)

Answer:

5

Explanation:

[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]

[tex]\rightarrow \sf 5.282647585[/tex]

The whole number is the quotient in any fraction.

[(30 x 8,25) + (20 x n)] / 50 = 8,4

247,5 + 20 x n = 420

n = (420 - 247,5) : 20

n = 8,625

Answer:

James has 4 red balloons

Step-by-step explanation:

16 × 1/4 = 4

You could also say 16 ÷ 4 = 4

Hope that helps!

Answer: How do you not understand this?

I understand it perfectly.

Step-by-step explanation:

The  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Given:

Blue pens=4

Green pens=3

Hence:

Probability=4³+3³÷(4+3)³

Probability=64+27/343

Probability=91/343

Probability=0.2653×100

Probability=25.53%

Therefore the  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

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[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]

[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]

Answer:

55

Step-by-step explanation:

This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.

Answer:

A. −2x+y=−2

Step-by-step explanation:

The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is  [tex]1\frac{1}{24}[/tex] ft

A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.

Therefore,

area of rectangle = lw

where

Therefore,

length = 1  2 / 3  = 5 / 3 ft

width = 5 / 8 ft

area = 5 / 3 × 5 / 8

area = 25 / 24 ft

area = [tex]1\frac{1}{24}[/tex] ft

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Answer:

Correct option is A)

Given,a,b are distance roots of x

3

+3x

2

−1=0

⇒a

3

+3a

2

−1=0 and b

3

+3b

2

−1=0

let the third root be c

then c

3

+3c

2

−1=0

product of roots =

a

−d

=

1

−(−1)

=1

⇒

abc=1

c=

ab

1

but c is root of x

3

+3x

2

−1=0

⇒c

3

+3x

2

−1=0

⇒

(ab)

3

1

+

(ab)

2

3

−1=0

⇒

1+3ab−(ab)

3

=0

.....(1)

in equation (1)

(ab)

3

−3(ab)−1=0

⇒ab is root of

x

3

−3x−1=0

∴(ab) is root of

x

3

−3x−1=0

Answer:

Both are 157 degrees

Step-by-step explanation:

A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.

Answer:

Step-by-step explanation:

Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

a +b = 180      {Linear pair}

23 + b = 180

       b = 180 - 23

b = 157°

c = b   {Vertically opposite angles are congruent}

c = 157°

Answer:

224

Step-by-step explanation:

7×8×4= 224 that is the answer

Answer:

5x+8x-10g+hd

Step-by-step explanation:

please mark me as brainlest

Hey there!

3x + 2x + 6v - 9g + hd + 2v - 1g

= 3x + 2x + 6v - 9g + 1hd + 2v - 1g

COMBINE the LIKE TERMS

= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)

= 3x + 2x + 6v + 2v - 9g - 1g + 1hd

= 5x + 7v - 10g + 1hd

= 5x + 7v - 10g + hd

= hd - 10g + 8v + 5x

Therefore, your answer is:

hd - 10g + 8v + 5x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:   The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.

Answer:

The ratio of red tiles to blue tiles is 1 to 4.

Step-by-step explanation:

Since 1/5 of the tiles are red, 4/5 of the tiles are blue, giving the ratio of red tiles to blue tiles as 1 to 4.

Answer:

6 units

Step-by-step explanation:

4 1/2 x 1 1/3= 6

Answer:

[tex]\huge\boxed{\sf x = 10}[/tex]

Step-by-step explanation:

Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.

5x + 25 + x + 5 = 90

5x + x + 25 + 5 = 90

6x + 30 = 90

Subtract 30 to both sides

6x = 90 - 30

6x = 60

Divide 6 to both sides

x = 60 / 6

x = 10

[tex]\rule[225]{225}{2}[/tex]

Answer:

it is D 63.7 × 10`2 I am not sure if it right tho

Hey there!

• QUESTION READS….

“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”

• THE QUESTION ASKED IN EASIER WAYS

“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”

• GETTING TO KNOW SCIENTIFIC NOTATION…..

It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10

• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….

Option A.
637 km × 10^2 kn

= 637 km × 10 km × 10 km

= 637 km × 100 km

= 63,700 km

Option A. is incorrect because it is too big.

Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km

= 6.37 km × 100 km × 10 km

= 6.37 km × 1,000 km

= 6,370 km

Option B. could possibly be your answer

Option C.
637 km × 10^1 km

= 637 km × 10 km

= 6,370 km

Option C. could also possibly be your answer.

Option D.
63.7 km × 10^2 km

= 63.7 km × 10 km × 10 km

= 63.7 km × 100 km

= 6,370 km

Option D. could also possibly be your answer along with B - C.

This is a tricky answer because we have MORE THAN one result.

So, we will just ELIMINATE A, C, D to make it easier.

Thus, we will say your result is:

Option B. 6.37 × 10^3 kilometers

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

first convert mixed fraction to improper fraction then solve by taking LCM

hope the above process helps

Answer:

5  7/12

Step-by-step explanation:

1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1  11/12
7  1/2 is equal to 7  6/12
7  6/12 - 1  11/12 = 5  7/12

              5 /12 is your answer

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

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Answer:

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.

Step-by-step explanation:

. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%

hope this will help

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

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Answer:

Step-by-step explanation:

The slope-intercept form is

Convert the given equation into slope-intercept form

The slope is:

The y-intercept is:

Correct choice is A

First isolate y

Compare to slope intercept form y=mx+b