The height of a triangle is 2 more than
four times its base. If the area of the
triangle is 21 square units, find the
length of the base of the triangle

Answers

Answer 1

Answer:

the length of base triangle is 42cm


Related Questions

Find 3 equivalent fractions to this number. 16/40

Answers

Answer:

[tex]\frac{8}{20}[/tex] , [tex]\frac{4}{10}[/tex] , [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

to find equivalent fractions multiply or divide the numerator and denominator by the same value.

[tex]\frac{16}{40}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{8}{20}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{4}{10}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{2}{5}[/tex] ← in simplest form

Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos adds the other integer on the number line and says that the sum is negative.

A number line going from negative 5 to positive 5. The area between negative 4 to 0 is highlighted.


Which is true of the number Carlos added to –4?
The number must be a negative integer.
The number must be a positive integer.
The number could be 3 or any integer less than 3.
The number could be 4 or any integer greater than 4.

Answers

Answer:

The number must be a negative integer because -4+ any negative is a negative

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Write an equation describing the relationship of the given variables.

y varies directly as the fourth power of x and when x=3, y=162.

y =

Answers

Answer:

[tex]y = 2x^4[/tex]

Step-by-step explanation:

The given statement can be represented as:

[tex]y\ \alpha\ x^4[/tex]

[tex]x =3; y = 162[/tex]

Given

Represent this as an equation

[tex]y\ \alpha\ x^4[/tex]

Convert variation to equation

[tex]y = kx^4[/tex]

Where k is a constant of variation.

Substitute [tex]x =3; y = 162[/tex]

[tex]162 = k * 3^4[/tex]

[tex]162 = k * 81[/tex]

Solve for k

[tex]k = 162/81[/tex]

[tex]k =2[/tex]

To get the equation, we have:

[tex]y = kx^4[/tex]

Substitute 2 for k

[tex]y = 2x^4[/tex]

The equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]

If y varies directly to the fourth power of x, this can be expressed as:

[tex]y \alpha x^4\\y=kx^4\\[/tex]

Given that x = 3 and y = 162, the equation becomes;

[tex]162 = k(3^4)\\162 = 81k\\k=\frac{81}{162}[/tex]

Substitute the value of k into the expression above to have:

[tex]y=kx^4\\y=\frac{81}{162}x^4[/tex]

Hence the equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]

Learn more on direct variation here: https://brainly.com/question/6499629

match the google drive applications to its best use.​

Answers

Answer:i need brainy answered sorry

Step-by-step explanation:sorry

Answer:

first google docs second google sheets

Step-by-step explanation:

first google docs second google sheets third google forms forth google drawing 5th google maps 6th google slides

Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary.
sin θ = ? O = 8 H = 16

Answers

The value of θ in the given triangle is equal to 30 degrees.

Data;

opposite = 8hypothenuse = 16sin θ = ?Trigonometric Ratios

To solve this problem, we have to use trigonometric ratios on this which is SOHCAHTOA.

since sin θ is the ratio between the opposite side to the hypothenuse,

[tex]sin\theta = \frac{opposite}{hypothenuse}[/tex]

Let's substitute the values into the function and solve.

[tex]sin\theta = \frac{8}{16} \\\theta = sin^-^1 (0.5)\\\theta = 30^0[/tex]

The value of θ is equal to 30 degrees.

Learn more on trigonometric ratios here;

https://brainly.com/question/24349828

for the function f(x)=1/2(x-3)2 +6, what is the value of f(2)

so basically solve f(2)=1/2(x-3)2 +6

the third two is a small two btw next to x-3

Answers

the answer is 7 i think.
1/2 times 2 = 1, 1/2 times 3= 1.5
(1-1.5)2+6
(-0.5) 2 + 6
1+6=7

. Which of the following fractions are equivalent? A. 3 4 and 6 7 B. 2 3 and 12 13 C. 1 9 and 4 12 D. 1 6 and 3 18

Answers

Answer:

A-3/4 is the only equivalent fraction.

Step-by-step explanation:

The rest of the fractions that you have listed does not pull up as equivalent.

Could you go to my page and help me figure out how to work out my sheet for me? I need help ASAP! Someone has already tried to help me, but they did not make sense to part of my sheet and they have not yet responded. Would you be willing to help? I will mark you brainliest if correct, and give you +45 points! Thank you!

40% of 40
Percentage of whole numbers (10-100)

Answers

Hello

40% de 40

(40*40)/100 =>16

A man won a lotto jackpot and he spent 2/5 of the money on luxury cars and 1/4 on buying a house. What fraction of his lotto earnings is remaining​

Answers

spent : 2/5 + 1/4 = 8/20 + 5/20 = 13/20

remains = 7/20

The 7/20th fraction of his lotto earnings is remaining.

Let us say the man has $100

Money spent on luxury cars = 2/5 of the money

Money spent on luxury cars = 2/5 * 100 = $40

Money spent on buying a house = 1/4 of the money

Money spent on buying a house = 1/4 * 100 =$25

Money left with the man = 100-40-25 = $35

$35 is what fraction of $100?

$35 is 35/100 fraction of $100.

35/100 = 7/20

So, the 7/20th fraction of his lotto earnings is remaining.

Hence, the 7/20th fraction of his lotto earnings is remaining.

To get more about fractions visit:

https://brainly.com/question/78672

scott wants to rent a boat and spend at most $79. The boat costs 8 per hour, and Scott has a discount coupon for $9 off. What are the possible numbers of hours Scott could rent the boat?

Answers

Answer:

11 hours

Step-by-step explanation:

Using the $79 dollars, Scott can get up to 9 hours with the boat. Scott will be left with $7, adding the $7 to the $9 coupon, Scott will then have $16 which can give Scott an additional 2 hours summing the total hours up to 11 hours Scott can rent the boat for.

Solve the formula V = 1/3b^2 h for b.

Answers

Answer:

[tex]b=\sqrt{\frac{3V}{h}}[/tex]

Step-by-step explanation:

To solve a formula for one of its variables do that

Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equals 1

Let us use these steps to solve our question

∵ V = [tex]\frac{1}{3}[/tex] b²h

→ Underline b

∴ V = [tex]\frac{1}{3}[/tex] h

→ Multiply both sides by 3 to cancel the denominator on the right side

∴ 3V = h

→ Divide both sides by h to move it to the other side

∴ [tex]\frac{3V}{h}=b^{2}[/tex]

→ To find b take √  for both sides

∴ [tex]\sqrt{\frac{3V}{h}}=\sqrt{b^{2} }[/tex]

→ The square root will cancel the power 2 of b

∴ [tex]\sqrt{\frac{3V}{h}}=b[/tex]

→ Switch the two sides

∴  [tex]b=\sqrt{\frac{3V}{h}}[/tex]

Find the value of xx, yy, and zz in the rhombus below.

Answers

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

lines M and N are parallel which angle has a measure of 110

a.1
b.2
c.3
d.4

Answers

Answer:

B. angle 2

Step-by-step explanation:

Angle 2 is opposite to the 110 degrees, and opposite angles are congruent
Hope this helps :)

What is the circumference of this circle?

Answers

Answer:

8[tex]\pi[/tex]

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]4

C=8[tex]\pi[/tex]

find gradient for

xe^y + y e^x = 2e at (1,1)​

Answers

Answer:

Step-by-step explanation:

Y

=

[

e

+

1

]

x

+

1


Help please!!! Algebra 3, Find Tan 0

Answers

Answer:

Step-by-step explanation:

Assume
that you are good and beverage Director of a large
hotel
You are planning
For your New Year's Eve gala, and require a large
amount of wine and champagne. you conduct a competitive
bidding. Process with the pur veyors in you area, and, based
upan quality and price, you
place a very large order (in excess of $20,000) with a
single purve you one week later o you recieve a case
OF very expensive champagne delivered to you
home with side a nice note from the purveyor's
representative stating how much they appreciated the
order and that they are really looking forward to
doing business with you in the years ahead. What
do you do with the champagne?​

Answers

Step-by-step explanation:

Assume that you are the Food and Beverage Director of a large hotel. You are planning for your New Year’s Eve gala, and require a large amount of wine and champagne. You conduct a competitive bidding process with the purveyors in your area, and, based upon quality and price, you place a very large order (in excess of $20,000) with a single purveyor. One week later, you receive a case of very expensive champagne, delivered to your home with a nice note from the purveyor’s representative stating how much they appreciated the order and that they are really looking forward to doing business with you in the years ahead. What do you do with the champagne?

Expert Answer 

ANSWER From your perspective, it might not be illegal for you to accept a case of champagne. However, there could be liquor laws in your state that prohi…View the full answer

sale price: $66.30 percent of discount: 65%
find the regular price​

Answers

Answer:

$189.43

Step-by-step explanation:

P = regular price

65% as a decimal = [tex]\frac{65}{100}[/tex] = .65

Discount = .65

To get the amount of the discount we would multiply P * .65

To find the sale price we subtract the discount from the original price.

Now we write our equation:

P - P(.65) = $66.30  

Solve for P

P - P(.65) = $66.30  

1P - P(.65) = $66.30  

1P - .65P = $66.30  

.35P = 66.30   Divide each side by .35

.35P.35 = 66.30/.35

P = 66.30/.35

P ≈ $189.43

Can anyone help me on this question?

Answers

Answer:

B

Step-by-step explanation:

The definition of an inverse is a reflection over y=x.

lewis can run a 40-yard dash in 4.8 seconds. On average, how many feet does he run per second?

Answers

over 5 seconds, a guy that runs a 4.4 runs about 5 extra yards further than a guy running a 4.9

21. Find 50% of 1500 km.

Answers

Answer: 750km

Step-by-step explanation:

50% x 1500 or 1500 divided by 2

exercise 15 b i will mark u as brainlist​

Answers

Let x = Ball , Good luck!

15b

10 balls...........200

15 balls.......... = 15x200 : 10 = 300

Rs 300 for 15 balls

Iman had twice as much money as Daphne at first. After Iman had spent $128 of her money on a bag and Daphne had spent $40 of her money on a dress, they had an equal amount of money left. How much money did each of them have left? pls help me.​

Answers

Step-by-step explanation:

x = Iman's money

y = Daphne's money

x = 2y

x - 128 = y - 40

now we use the first equation as identity in the second equation and get

2y - 128 = y - 40

y - 128 = -40

y = $88

x = 2y = $176

these were the starting values.

now, after spending, they have both left

176 - 128 = 88 - 40 = $48

Express as a sum

a-5

(please give explanation too)

Answers

The sum is a+1*(-5)  since you have a multiplication with different signs (+ -).

Multiplication Sign Rules

The rules to multiplication of numbers are:

+  +  or  -   -

      The result presents a positive sign (+) because the signs are same.

+  - or   -   +

     The result presents a negative sign (-) because the signs are different.

The given function is a linear equation with one variable (a). You can rewrite the expression  a-5 as a sum. See below.

a+ 1*(-5) =a-5  since when you have a multiplication with different signs  (+ -).

Read more about rules for multiplication  here:

https://brainly.com/question/16119150

Pls help I’ll give brainlisest it’s 7th grade math

Answers

Answer:

-2.3 to 2.9

Step-by-step explanation:

The range is kinda self explanatory, range is the space between the lowest value and the greatest value. You can solve it by subtracting 2.9 - (-2.3)

Hope that helps and have a great day!

please help me asap​

Answers

Answer: D. The moon is located perpendicular to Earth and the sun.

Step-by-step explanation: I studied astronomy. :)

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

45°
60°
120°
135°

Answers

[tex]x + y = 90[/tex]

[tex]x = 3y[/tex]

[tex]3y + y = 90[/tex]

[tex]4y = 90[/tex]

[tex]y = 15[/tex]

[tex]x = 3(15) = 45[/tex]

Answer:

45 °

Step-by-step explanation:

Knowing that:

Supplementary Angle = 180 °

Angle x is 3 time the measure of angle y.

Solve:

Equation below:

x + y = 180

x = 3y

Substitute

3y + y =180

4y = 180

Divide both sides by 4

4y/4 = 180/4

y = 45

Value of x:

x = 3 × 45

x = 135

Therefore the measure of angle x is 135.

x = 45

y = 135

~Lenvy~

What is the value of 3n at n = 11

Answers

Answer:

33

Step-by-step explanation:

replace n with 11 and multiply 3x11

When drawing a card, find the probability of drawing a spade or selecting a number less
than five.

Answers

Answer:

Therefore, there 16 chances of getting a spade OR a five.

Step-by-step explanation:

8
9
10
TIME REMAINING
14:56
SERE
The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this
information at certain times during a given day. The following temperatures were recorded on a January day in New York
City.
Time of Day
10 AM 12 Noon 2 PM 4 PM 16 PM
SPM 10 PM
Temperature (°F) 30 35 36 36 34 30 28
a.
What is the average rate of change of temperature with respect to time over the evening hours from 6 PM to 10 PM?
Interpret this value in a complete sentence.
6°F degrees per hour; The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
b. -6°F degrees per hour: The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
C.
-1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour
from 6 PM to 10 PM.
d. 1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from
6 PM to 10 PM
Mark this and return
Save and Exit
Nex
Submit
cript:void(0)

Answers

Answer:

D. 0.019 years of age per year

Step-by-step explanation:

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