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4 years ago

Find the surface area of the square pyramid.

Mathematics

2 answers:

Alenkinab [10]4 years ago

6 0

It should be 112m^2.

photoshop1234 [79]4 years ago

3 0

A2+2a to the squat root of a2 divides by 4 + h2 so basically it is 112m squares

You might be interested in

Name all sets of number for -15

malfutka [58]

Answer:

all negative number to -15

3 0

3 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

8 0

3 years ago

-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination

Minchanka [31]

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

-2+4=2

2=2

Done!

5 0

3 years ago

Find an equivalent fraction for the decimal number. In your final answer, include all of your work.

Marat540 [252]

0.61 as a fraction would be 61/100 ,because you have two numbers behind the decimal point

5 0

3 years ago

Read 2 more answers

In 2 minutes, Nolan unloads 10 boxes from the truck. Write the equation for the relationship between x and y.

Anna11 [10]

Answer:

2x = y

Step-by-step explanation:

x = minutes

y = 10 boxes

4 0

3 years ago