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Brums [2.3K]
3 years ago
12

The Gilbert's are designing a rectangular patio. The patio has an area of 432 square feet. The width of the patio is 3/4 it's le

ngth. What is the length of the patio
Mathematics
1 answer:
ankoles [38]3 years ago
4 0
Represent the unknowns. 
<span>Let x = length </span>
<span>since the width is 3/4 of the length, </span>
<span>Let (3/4)x = width </span>

<span>Recall that the area of rectangle is just width multiplied by the length, </span>
<span>A = w * l </span>
<span>Substituting, </span>
<span>432 = (3/4)x * x </span>
<span>432 = (3/4)x^2 </span>
<span>432 * 4/3 = x^2 </span>
<span>576 = x^2 </span>
<span>Get the square root of both sides, </span>
<span>x = 24 feet (length) </span>
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Find measure jk <br> Answers are 52, 128, 154 &amp; 180
Mamont248 [21]

Answer:

b. 128°

Step-by-step explanation:

arc LJ = 2 (26) = 52°

arc KL = 180° (half circle)

so

arc JK = 360° - (arc LJ + arc KL)

arc JK = 360° - 232°

arc JK = 128°

Answer

b. 128°

8 0
4 years ago
Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the f
Molodets [167]

Answer:

b. type II

Step-by-step explanation:

given that food inspectors  inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.

H0: the food is safe

Ha: the food is not safe

It was concluded from the hypothesis test that the food is safe while it was not actually safe.

This is a case of false acceptance of null hypothesis when it is false.

In hypothesis test, there are two errors. a type I error is the rejection of a true null hypothesis  while a type II error is the non-rejection of a false null hypothesis

So this is type II error because we did not reject a false null hypothesis.

8 0
3 years ago
Math help please =)
a_sh-v [17]
2x - 3 < 11 or 8x -10 < 82:  <span>X < 23/2
<span>
Part 1</span>
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2x-3+3<11+3
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Divide by 2 on both sides
2x / 2    /   14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
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8x-10+10<82+10
Refine
8x<92
Divide by 8
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7 0
3 years ago
Cons A has a radius 6 units and height 4 units fond one possible radius
Anastaziya [24]

Answer:

A possible solution is that radius of cone B is 2 units and height is 36 units

Step-by-step explanation:

Step-by-step explanation:

The volume of a cone is given by

where

r is the radius

h is the height

Here we are told that both cones A and B have the same volume, which is:

And

(2)

We also know that cone A has radius 6 units:

and height 4 units:

For cone B, from eq.(2), we get

One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.

4 0
3 years ago
Zoe jogs 3/4 of a mile every 1/5 of an hour.
stepan [7]

Answer:

15/4 please let me know if this helped you :)

Step-by-step explanation:

0.75*5=3.75 or 15/4

all of your answers are less than 3/4ths of a mile...she is increasing the amount she runs not decreasing.

3 0
3 years ago
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