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galben [10]
3 years ago
11

Please help! The girls' gym teacher needs to purchase

Mathematics
1 answer:
hram777 [196]3 years ago
5 0
Well the teacher would only get $15 but we don’t know how much the balls cost so you can’t make an expression
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The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi startroot
faust18 [17]

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

<h3>What is the equation for the time it takes for the pendulum to swing back and forth?</h3>

The equation is given as follows:

f(l) = 2\pi\frac{l}{32}

In which l is the length of the pendulum.

In this problem, we have that f(l) = 2.4\pi, hence:

f(l) = 2\pi\frac{l}{32}

2.4\pi = 2\pi\frac{l}{32}

l = 32 x 1.2

l = 38.4 ft.

More can be learned about equations at brainly.com/question/25537936

#SPJ4

6 0
2 years ago
Read 2 more answers
Three collinear points on the coordinate plane are r(x,y), s(x+8h, y+8k), and p (x+6h, y+6k)
Karo-lina-s [1.5K]

Answer:

A.\frac{RP}{SP}=3

B.\frac{RP}{RS}=\frac{3}{4}

Step-by-step explanation:

<u><em>The complete question is</em></u>

Three collinear points on the coordinate plane are R(x, y), S(x+8h, y+8k), and P(x+6h, y+6k).

<em>Part A: Determine the value of RP/SP</em>

<em>Part B: Determine the value of RP/RS</em>

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

R(x,y),S(x+8h,y+8k) and P(x+6h,y+6k)

Part A.We have to find the value of \frac{RP}{SP}

step 1

Find the distance RP

R(x,y),P(x+6h,y+6k)

substitute the values in the formula

RP=\sqrt{(x+6h-x)^2+(y+6k-y)^2}

RP=\sqrt{36h^2+36 k^2}

RP=6\sqrt{h^2+k^2}

step 2

Find the distance SP

S(x+8h,y+8k),P(x+6h,y+6k)

substitute the values in the formula

SP=\sqrt{(x+6h-x-8h)^2+(y+6k-y-8k)^2}

SP=\sqrt{4h^2+4k^2}

SP=\sqrt{4(h^2+k^2)}

SP=2\sqrt{h^2+k^2}

step 3

<em>Find the ratio  RP/SP</em>

\frac{RP}{SP}=\frac{6\sqrt{h^2+k^2}}{2\sqrt{h^2+k^2}}

\frac{RP}{SP}=3

Part B. We have to determine the value of \frac{RP}{RS}

step 1

Find the distance RS

R(x,y),S(x+8h,y+8k)

RS=\sqrt{(x+8h-x)^2+(y+8k-y)^2}

RS=\sqrt{64h^2+64k^2}

RS=\sqrt{64(h^2+k^2)}

RS=8\sqrt{h^2+k^2}

step 2

<em>Find the ratio RP/RS</em>

\frac{RP}{RS}=\frac{6\sqrt{h^2+k^2}}{8\sqrt{h^2+k^2}}

\frac{RP}{RS}=\frac{3}{4}

5 0
3 years ago
a rectangles width is 6 feet less than its length. if the area of the rectangle is 247 square feet what is its length in feet
mestny [16]

Answer:

The answer is

<h2> 19 feet</h2>

Step-by-step explanation:

Area of a rectangle = length × width

let w be the width and l be the length

Area of rectangle = 247 ft²

width is 6 feet less than its length is

w = l - 6

247 = l( 1 - 6)

l² - 6l - 247 = 0

(l + 13) (l - 19) = 0

l + 13 = 0 l - 19 = 0

l = - 13 l = 19

Since the length should be positive

The length of the rectangle is

<h3> 19 feet</h3>

Hope this helps you

8 0
2 years ago
Read 2 more answers
Can someone please help me to find the measure for SPT please .
serious [3.7K]

Answer:

70°

Step-by-step explanation:

∠SPT and ∠QPR are vertical angles.

By the vertical angles theorem, they are congruent.

Therefore, ∠SPT is 70°.

7 0
3 years ago
Chad buys peanuts in a 2 pound bag. he repackages them into bags that hold 5/6 pound of peanuts. how many 2 pund bags of peanuts
kati45 [8]
This item is basically asking us the least number that can be divided by 5/6 and 2 which will give whole numbers as answers for both. That, in short term, it is asking us the least common multiple of the two numbers. The least multiple of 5 and 6 is 10. When we divide 10 by 2, we get an answer of 5. Therefore, the Chad should buy 5 2-pound bags. 
4 0
2 years ago
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