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SpyIntel [72]
3 years ago
11

Find the surface area of the attached figure and round your answer to the nearest tenth, if necessary.

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

S.A = 246.6 in^2

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as: B.A + \frac{1}{2}*P*L

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface area

S.A = 81 + \frac{1}{2}*36*9.2

= 81 + 18*9.2

= 81 + 165.6

S.A = 246.6 in^2

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What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?
irina1246 [14]

Answer:

Step-by-step explanation:

Right rectangular prism

Solve for volume

V=whl

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6 0
2 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

=n-1 = 16-1=15

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

5 0
2 years ago
A savings account compounds interest, at a rate of 22%, once a year. George puts $750 in the account as the principal. How can G
Umnica [9.8K]
George shouldn't think too far.

He should use the formula for Compound Interest.

Amount in compound interest, A = P(1+ r/100)ⁿ.

Where A = Amount, P = Principal, r is the rate per year, n = number of years.

Note: the expression (1+ r/100) is raised to power  n.     

From George's problem: P = 750,    r = 22,  I guess number of years , n = x

A(x) = 750( 1 + 22/100)ˣ

A(x) = 750( 1 + 0.22)ˣ 

From your options I can't see an answer. Except the expression of option (A) is actually raised to power x, and not times x as stated in the option.  
5 0
2 years ago
Mrs. porter's cat weighs 6kg. her dog weighs 22kg more than her cat. what is the total weight of her cat and dog?
yan [13]
Cat= 6kg
Dog = 6kg + 22kg
Total weight = 6kg + 6kg + 22kg
Total weight = 34kg
8 0
2 years ago
What is mZDAR in circle A?
Andreas93 [3]

Answer:

68°

Step-by-step explanation:

Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.

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5 0
3 years ago
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