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I am Lyosha [343]
3 years ago
14

the height of a ball thrown directly up with a velocity of 40 feet per second from a initial height of 5 ft is given by the equa

tion h(t)=-16t2+40t+5, where t is the time in seconds and h is the balls height, measured in feat. when will the ball hit the ground?
Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0
The equation is h=-16t²+40t+5.The ball will hit the ground when h=0. So:
0=-16t²+40t+5
16t²-40t-5=0
Using the quadratic formula, we get a positive value for t of <span>2.61930639376 seconds.
☺☺☺☺
</span>
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A chef uses a circular pan with a 24-inch diameter to make a pizza. What is the area of pizza
RUDIKE [14]

Answer:

<u>The area of a pizza made in that circular pan is 452.39 inches²</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Diameter of the circular pan = 24 inches

Radius of the circular pan = 24/2 = 12 inches

2. What is the area of the pizza?

Let's use the formula of the area of a circle, this way:

Area = π * r²

Substituting with the real values, we have:

Area = 3.1416 * 12²

Area = 452.39 inches²

<u>The area of a pizza made in that circular pan is 452.39 inches²</u>

4 0
3 years ago
It takes 40 minutes for 8 people to paint 4 walls.
Shalnov [3]
Compare two variables each time

8 0
3 years ago
Find the area of the regular pentagon.
IceJOKER [234]

Answer: 172.05

Hope this helps

5 0
3 years ago
Solve the system of equations algebraically. Show all of your steps
Katyanochek1 [597]
I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

rad(x+20)=x

Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

2rad(x+5)

This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
4 0
3 years ago
Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?
mars1129 [50]

Answer:

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX

Step-by-step explanation:

see the attached figure to better understand the problem  

we know that  

If m∠E = m∠Y and m∠F = m∠X  

then  

Triangles EFG and YXZ are similar by AA Similarity Theorem  

Remember that  

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent  

In this problem  

The corresponding sides are  

FE and XY  

EG and YZ  

GF and ZX  

so therefore  

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX Firstly , let us learn about trigonometry in mathematics.  

Suppose the ΔABC is a right triangle and ∠A is 90°.  

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!  

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.  

From the figure in the attachment , we can conclude that:  

m∠E = m∠Y  

m∠F= m∠X  

m∠G = m∠Z  

∴ ΔEFG ~ ΔYXZ  ( ΔEFG is similar to ΔYXZ )    

Because of the similarity , then:  

FE : XY = EG : YZ = GF : ZX  

Conclusion:

ΔFG is similar to ΔYXZ.  

Segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX , i.e:    

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

3 0
3 years ago
Read 2 more answers
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