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USPshnik [31]
2 years ago
12

If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the

pyramid
Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

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last week, Saul ran more than one-fifth the distance that his friend Omar ran. If Saul ran 14 miles last week, how far did Omar
Sonja [21]
1/5 = 14
5/5 = 14 a 5=70
omar ran 70 miles
7 0
2 years ago
Trey is putting up a fence around a 750 foot by 540 foot lot. How many feet of fence dose he need?
anygoal [31]

Given:

The length of the lot l= 750ft

The width of the plot w= 540 ft

Required:

Find the required fence.

Explanation:

The perimeter of the rectangle is given by the formula.

P=2(length+width)

Thus the required fence for the lot

\begin{gathered} =2(750+540) \\ =2(1290) \\ =2580\text{ ft} \end{gathered}

Final answer:

The required fence is 2580 ft.

6 0
10 months ago
The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in
oksano4ka [1.4K]

Answer:

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

p_v =P(Z>2)=0.0228  

Step-by-step explanation:

1) Data given and notation  

\bar X=8300 represent the sample mean  

\sigma=1200 represent the population standard deviation  

n=64 sample size  

\mu_o =800 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :  

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

4) P-value  

Since is a one-side upper test the p value would given by:  

p_v =P(Z>2)=0.0228  

5) Conclusion  

If we compare the p value and the significance level assumed, for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.  

4 0
3 years ago
A t shirt maker wants to open his first store.If he chooses the store on Main Street he will pay 650 in rent and will charge 32$
ch4aika [34]

Answer: 35 t shirts

Step-by-step explanation:

Let number of t shirts be x

Let profit made be y

On main street, the store costs $650,

Selling the t shirt at $32 per 1

He would make a revenue of 32x

Profit = revenue - cost accrued

y1 = 32x - 650

On Broad street, the store costs $440,

Selling the t shirt at $26 per 1

He would make a revenue of 26x

Profit = revenue - cost accrued

y2 = 26x - 440

To make same profit on either location

y1 = y2

32x - 650 =26x - 440

32x -26x = -440+650

6x = 210

x = 210/6

= 35 t shirts

5 0
3 years ago
How old am i if 200 reduced by 2 times my age is 48?
pshichka [43]

Answer:

I am 76 years old.

Step-by-step explanation:

If my age is x years then:

200 - 2x = 48

-2x = - 152

x = 76.

4 0
3 years ago
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