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3 years ago

The top portion of the Washington Monument is a square pyramid. The dimensions are shown in the net to the nearest foot.

Mathematics

2 answers:

Murrr4er [49]3 years ago

7 0

Answer:

Step-by-step explanation:

Alright let's get started.

We have given a square pyramid whose base is given as 35 ft and lateral height is 55 ft.

we have to find the surface area of the square pyramid including base.

since the base is a square and we have the side 35ft,

so the area of the base = $35*35=1225$

Now, the area of the each triangle= $\frac{1}{2} *base*height$

so, the area of one triangle = $\frac{1}{2} * 35*55=962.5$

Since,we have four triangles so total area = $4*962.5=3850$

therefore, the total surface area = area of the base plus the area of four triangles i.e. $1225+3850=5075$ .

Hence, the surafce area of the top of the washington monument including the base is 5075ft.

HACTEHA [7]3 years ago

3 0

5215 sq ft. S= p times h /2 +B
35*4 * 57/ 2. + 35*35
Got h=57 by a2+b2=c2
17.5 sq+ 55 sq =5215 sq rt of 5215 is 57

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5. How many solutions does this system of equations have?

Diano4ka-milaya [45]

Answer:

$\text{\boxed{\sf{D. \ No\ solution}}}$

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

First, you have to substitute of y=-4x-1.

$\Longrightarrow: \sf{[-4x-1=-4x-9]}$

<u>Add by 4x from both sides.</u>

$\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}$

<u>Solve.</u>

$\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}$

<u>Therefore, the correct answer is "D. No solution".</u>

I hope this helps. Let me know if you have any questions.

8 0

2 years ago

In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who fav

raketka [301]

c. 4.6

21 X .22= 4.6

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

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3 years ago

Which segment is parallel to AD

Alex73 [517]

Answer:

Parallel: Two sides or lines are parallel if they are lines that are always the same distance from each other and will never intersect or touch

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3 years ago

Read 2 more answers

A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

4 0

3 years ago

What is the solution of the system?

evablogger [386]

Subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y

there are an infinite number of solutions

8 0

3 years ago