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faltersainse [42]
3 years ago
12

A drawing of a triangle. The base equals 15 centimeters and height equals 8 centimeters.

Mathematics
2 answers:
zysi [14]3 years ago
5 0

Answer:

The area of the triangle is 60.

Effectus [21]3 years ago
3 0

Answer:

17

Step-by-step explanation:

If we are finding the long angled side (the hypotenuse), we must keep in mind the Pythagorean theorem. This states that in order to find the answer, we must follow: A squared + B squared = C squared. A and B are known as the legs and we use these for A and B. After squaring both 15 and 8 we get 225 + 64= 289. Now that we have our answer of 289, we can square this to find our hypotenuse which is 17. To find the square root, you multiply different numbers by themselves until you reach your answer. 17 x 17 = 289 so the hypotenuse is 17 centimeters long. I hope this helps! :)

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What is the volume of the plastic rocket???
Marina86 [1]

Answer:

151 in^3

Step-by-step explanation:

The rocket consists of two shapes - a cone and a cylinder

the volume of the plastic = volume of cone + volume of cylinder

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7  

r = radius

the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5

Height of cone = 11 - 6 = 5

Volume of plastic = (22/7) x (2/5^2) x 6  + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151

5 0
3 years ago
For a field trip 20 students rode in cars and the rest filled eight buses. How many students were in each bus if 340 students we
Varvara68 [4.7K]

Answer:

40 students were in each bus on the trip.

Step-by-step explanation:

Since 20 students rode in cars, subtract 20 from 340. This results in 320.

There are 8 school busses, so divide 320 student into 8 busses.

This results us in 40 students in each bus.

3 0
3 years ago
Read 2 more answers
Can someone please help me with math
allsm [11]

Answer:

the answer is D

Step-by-step explanation:

the graph has a negative correlation

5 0
3 years ago
What is the difference?
Crazy boy [7]

Answer:

<h2>D. \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\ or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>

Step-by-step explanation:

Given the expression \frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }, the dfference is expressed as follows;

Step1: First we need to factorize the denominator of each function.

\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }\\= \frac{x}{x^{2}-5x+3x-15 } - \frac{4}{x^{2} + 7x-5x - 35 }\\= \frac{x}{x(x-5)+3(x-5) } - \frac{4}{x( x+ 7)x-5(x +7) }\\= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\\\

Step 2: We will find the LCM of the resulting expression

=  \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\= \frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\

The final expression gives the difference

6 0
4 years ago
The sum of the ages of Mr Lin and his son Ethan is 38 years. In three years' time, Mr Lin will be three times as old as his son.
Sati [7]

Answer:

Mr.Lin's present age is 30 years now. His son is 8 years old now.

Step-by-step explanation:

Let L = Mr.Lin's present age,

   S = his son's present age.

First equation  is

L + S = 38.       (1)

The second equation is  

L + 3 = 3*(S+3)   (2)   ("In three years' time, Mr.Lin will be three times as old as his son.")

From (1), express S = 38-L and substitute it into (2). You  will get

L + 3 = 3*((38-L)+3),   or

L + 3 = 114 - 3L + 9,

4L = 114 + 9 - 3,  

4L = 120,

L = 30.

8 0
4 years ago
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