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Marysya12 [62]
3 years ago
6

What’s the missing length

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

a=9in

Step-by-step explanation:

Pythagoreans Theorem

a^2+5.6^2=10.6^2

a^2+31.36=112.36

a^2=81

(take square root of both sides)

a=9

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Answer:

18

Step-by-step explanation:

base= 6 units

height=6 units

The formula for solving a triangle's area is 1/2bh

6x6=36

36 divided by 2 is 18

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3 years ago
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Wittaler [7]
1. X= 3
2. AB= 27
3. X= 10
3 0
2 years ago
4.1 homework question 3 fith grade
vichka [17]

Answer: uhh provide a picture

Step-by-step explanation:

5 0
2 years ago
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The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes
Nana76 [90]

Answer:

Original claim is \mu_{1} =\mu_{2}

Opposite claim is \mu_{1} \neq \mu_{2}

Null and alternative hypotheses:

H_{0}:\mu_{1} = \mu_{2}

H_{1} : \mu_{1} \neq \mu_{2}

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

\bar{x_{1}}=70.29

Sx1=22.09

n_{1} = 30

\bar{x_{2}}=74.26

Sx2=18.15

n_{2} = 32

\mu_{1} \neq \mu_{2}

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

t=-0.78

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.

6 0
2 years ago
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
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