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Nataliya [291]
4 years ago
13

8 km Radius: Diameter: Area:

Mathematics
1 answer:
Rom4ik [11]4 years ago
8 0

Answer:

Step-by-step explanation:

r=C /2π=1.27

Diameter= 2 times radius=2.54

A= Pir squared=201.06

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A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
VashaNatasha [74]

Answer:

width = 5 in

length = 5+4=9 in

height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

height = 2 \cdot width

height = 2w

Volume of box = length times width times height

V=(w+4)(w)(2w)

450=(w+4)(w)(2w)

450=2w^3+8w^2

2w^3+8w^2-450=0

\quad 2\left(w-5\right)\left(w^2+9w+45\right)=0

w-5=0

w=5

\quad\left(w^2+9w+45\right)=0, this gives two complex values

so width = 5

length = 5+4=9

height = 2(5)= 10

5 0
3 years ago
Does anybody <br> know the answer
nordsb [41]

1. Part 14/25
Total .56
Percent56%
2. 16/20
Total. .8
Percent 80%
3. 11/20 55%
4. 40
5. 300%
6. 140
4 0
3 years ago
Read 2 more answers
MODELING REAL LIFE A post-and-beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post-
Rainbow [258]

To find out if the triangle is a right triangle, we must check if the following equation is true:

(15)^2+(20)^2=(25)^2^{}^{}^{}

on the left side, we have:

(15)^2+(20)^2=225+400=625^{}

and on the right side, we have:

(25)^2=625

since on both sides we get 625, we have that the brace forms a right triangle.

7 0
1 year ago
Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
BaLLatris [955]
<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Given : Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

Sample size : n= 1055

Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

8 0
3 years ago
(x - 1)(x + 5) = x² + 4x – 2<br><br> Step by step if possible please
anastassius [24]

Answer:

solve or simplify? if solve, what is x

Step-by-step explanation:

5 0
3 years ago
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