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ira [324]
3 years ago
7

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM ASAP. AND PLEASE SHOW WORK

Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer:

15.1875 cm²

Step-by-step explanation:

step 1)

we find the height for big triangle

area of triangle = ½ * The base * the height

that mean 27 = ½ AB * the height

27 = ½ *(6) * the height

the height = 27 /(½*6) = 27 /3 = 9

step 2)

we find the base for small triangle

6/x=4/3

x=(6*3)/4 = 4.5

step 3)

we find the height for small triangle

Similarity 4/3 = 9/z

z=(9*3)/4 = 6.75

step 4)

area of triangle = ½ The base * the height

area of triangle = ½ *(4.5)*(6.75) = 15.1875 cm²

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3 years ago
Neil's Ice Creamery sold 50 sundaes last week. There were nuts on 22 of the sundaes. What is the ratio of the number of sundaes
Mkey [24]

The ratio of the number of sundaes with nuts to the number of sundaes without nuts is 11/14

What is ratio?

Ratio is a quantitative relationship between two values  indicating the number of times one value contains within the other value

In other words, we are expressing the number of sundaes with nuts as a fraction of the ones without nuts

There are 22 sundaes with nuts

number of sundaes without nuts=50-22

number of sundaes without nuts=28

sundaes with nuts/sundaes without nuts=22/28

2 is common to both numbers

sundaes with nuts/sundaes without nuts=11/14

Find out more about ratio on:brainly.com/question/2328454

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3 0
2 years ago
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
4 years ago
Please help with question 2, I’m too tired to think right now, and it’s for my little sister and it’s due tomorrow! Ignore the n
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Answer:

2000 L

Step-by-step explanation:

There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?

The simple solution is:

1250 L ÷ 0.625 = 2000 L

The algebraic solution is:

Let <em>c</em> equal the capacity of the tank.

Therefore, <em>c</em> × 0.625 = 1250.

Divide both sides by 0.625:

<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625

And simplify:

<em>c</em> = 1250 ÷ 0.625

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What is the perimeter and area of the figure
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the perimeter is 35 and are is 40

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