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Blizzard [7]
3 years ago
15

A triangle has a height that is 4 /3 the length of its base. If the length of its base is 24 cm, what is its area?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
6 0
Triangle Area = ½ * height * base

base = 24 therefore
height = (4/3) * base = (4/3) * base = 32 cm

Triangle Area = ½ * 32 * 24
= 384 cubic centimeters


elena55 [62]3 years ago
5 0

Answer:

384

Step-by-step explanation:

on usatestprep it is b

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Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

y=x+3.......(1)\\4x+y=18.....(2)

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

4x+x+3=18\\5x=18-3\\5x=15\\x=3

substitute the value of x=3 in equation (1) we get,

y=3+3\\y=6

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0
2 years ago
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Mice21 [21]
The equation for surface area is: A= \pi r(r+ \sqrt{h^2+r^2}. To get r, you must use Pythagorean theorem. r is found to be 45. This means after you plug it in, you get about 13571.68
6 0
2 years ago
Shayla tutors middle school students and high school students. She charges a different rate for each. Last week, she tutored mid
Veronika [31]

Answer:

<em>Shayla charges $20 per hour for middle school students and $25 per hour for high school students.</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Shayla's hourly charge for middle school students

y = Shayla's hourly charge for high school students

Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:

5x + 12y = 400        [1]

This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:

6x + 10y = 370

Dividing by 2:

3x + 5y = 185        [2]

We have formed the system of equations:

5x + 12y = 400        [1]

3x + 5y = 185        [2]

Multiply [1] by -3 and [2] by 5:

-15x - 36y = -1200

15x + 25y = 925

Adding both equations:

-11y = -275

Dividing by -11:

y = -275/(-11) = 25

y = 25

Substituting in [1]:

5x + 12*25 = 400

5x + 300 = 400

5x = 400 - 300 = 100

x = 100/5 = 20

x = 20

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

7 0
2 years ago
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taurus [48]
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By the way, if you want the answer using this formula:
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8 0
3 years ago
Read 2 more answers
Evaluate each expression for t = 0, x = 1.5, y = 6, and z = 23
My name is Ann [436]

Answer:

1. 11

2. 20

3. 34

4. 12.6

5. 18

6. 105

Step-by-step explanation:

We are told that ---> t = 0, x = 1.5, y = 6, and z = 23

1. y + 5

= 6 + 5

= 11

2. z - 2x

= 23 - 2(1.5)

= 23 - 3

= 20

3. 2z - 2y

= 2(23) - 2(6)

= 46 - 12

= 34

4. 2.6y - 2x

= 2.6(6) - 2(1.5)

= 15.6 - 3

= 12.6

5. 4(y - x)

= 4(6 -  1.5)

= 24 - 6

= 18

6. 4(2 + z) + 5

= 4(2 + 23) + 5

= 8 + 92 + 5

= 105

3 0
2 years ago
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