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Sedaia [141]
3 years ago
5

So the surface area is for the figure itself, and I just need to find the height. Please help!! (Geometry problem)

Mathematics
1 answer:
Harman [31]3 years ago
8 0
We need to cut it up and find the areas of each
ok so base=a^2
back sides are a^2 and a^2
total we have a^2+a^2+a^2=3a^2

we have now the 4 triangles, 2 of which are identical
the  identical triangles are the side ones which are base a and height 1/2a
area of triangle=1/2bh
so the areas of them are 1/4a^2, times 2 since 2 of those triangles, 1/2a^2

add
3a^2+1/2a^2=7/4a^2

now the very top triangle and the cut corner triangle

very top is legnth a and base a so 1/2 a^2 is area
add
3 and 1/2a^2+1/2a^2=4a^2

we also need the small rectangles on side which is 1/2a times a times 2 since 2 of them=a^2 so a^2+4a^2=5a^2
now to find the corner bit in terms of a
use some imagination and lines to find legnths, right triangles and hypotonuse
the very top side is a√2 (45,45,90 angle/triangle)
we need to find slant height which is (a√6)/2

now
area=1/2bh
area=((a^2)√3)

add that
5a^2+(a^2)√3=250.5
find a
undistribute the a^2
(a^2)(5+√3)=501
use divide both sides by (5+√3)
a^2=501/(5+√3)
take squaer root of both sides
a= aprox 8.6267094364168 in

I hope this is right (should be, but alot done in head so maybe incorrect or off)

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IceJOKER [234]
I'm confused, there are no statement. 
But <span>4 * 18932 + 921 is equal to 76,649.

4*18932+921
75728+921= 76649
</span>
8 0
3 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

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

c) Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
Can someone help me 5-13 please?
Alona [7]

Answer:

5-13 = -8

Step-by-step explanation:

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schepotkina [342]

Answer:

volume of old tank=20×4×10=800m³

no of shark adjust =800/25=32 sharks is adjusted in old shark tank

for new

if length=25℅0f 20+20=25m

breadth=25%of 4 +4=1+4=5m

height is same=10m

new volume =25×5×10=1250m³

total no.of shark adjust=1250/25=50 shark

50-32=18 more shark that the new tank hold.

4 0
3 years ago
3х +5= 23 what is x equal
mihalych1998 [28]

Answer:

x=6

Step-by-step explanation:

3х +5= 23

Subtract 5 from each side

3х +5-5= 23-5

3x = 18

Divide each side by 3

3x/3 =18/3

x = 6

3 0
3 years ago
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