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dusya [7]
3 years ago
12

A rectangular field has an area of 5/4 sqaure yards and a width of 3/2 yard. What is the length of the field?

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

Your answer is to your question is 5/6.

Step-by-step explanation:

Trust me, I'm 100% positive.

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a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid
Stels [109]
So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
n=6\\
s=4
\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot  6\cdot  4^2\cdot  cot\left( \frac{180}{6} \right)

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both

8 0
4 years ago
If a = 7, what is the value of the expression 2(a + 8)?
viktelen [127]

Answer:

2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\  = 30 \\

please mark as brainliest

8 0
3 years ago
Read 2 more answers
The area of a square is 484 square inches. How long is each side?
hodyreva [135]

Answer:

\sqrt{484} =22

Step-by-step explanation:

8 0
3 years ago
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Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu
san4es73 [151]

Answer:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀  =  37 %         P₀  = 0,37

sample size  =  n  =  100

P sample proportion   =   P  = 47 %        P  =  0,47

confidence interval  95 %

α  =   0,05  

One tail-test  (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀      null hypothesis                        P₀  =  0,37

Hₐ  alternative hypothesis                P₀  >  0,37

2.-Confidence interval 95 %

α  =   0,05        and    z(c)  =  1.64

3.-Compute of z(s)

z(s)  =  [  P  -  P₀  ]  /√(P₀Q₀/n) ]  

z(s)  =  [ (  0,47  -  0,37  ) /  √0.37*0,63/100

z(s)  = 0,1 /√0,2331/100     ⇒   z(s)  = 0,1 /0,048

z(s)  = 2.08

4.-Compare  z(s)   and  z(c)

z(s) > z(c)        2.08  > 1.64

5.-Decision:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0
4 years ago
A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4
ruslelena [56]

Answer:

192

Step-by-step explanation:

The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.

6 0
3 years ago
Read 2 more answers
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