Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Answer:
1 1/3
Step-by-step explanation:
Find the common denominator of all three which is 6.
Then multiply each to make the common denominator 6
1/2*3 = 3/6
2/3*2 = 4/6
1/6*1 = 1/6
Then add all of them together
3/6+4/6+1/6 = 1 2/6
Simplified equals 1 1/3
Answer:
5 1/5 miles
Step-by-step explanation:
Given that :
Library is located halfway between park and home ;
Distance between library and park = 1 3/10 miles
Hence, total distance between park and home :
1 3/10 + 1 3/10 = 2 6/10
The distance driven :
Home to park ; park back home
2 6/10 + 2 6/10 = 4 12/10
4 + 12/10 = 4 + 1 2/10
= 5 2/10
= 5 1/5 miles
Answer:
≈ 10.63
Step-by-step explanation:
Pythagorean Theorem... Possibly the most easy theory in math once you understood it.
Here's the formula.
AB would be the hypothenuse
BC would be the opposite
CA would be the Adjacent.
But let's not make it complicated though, the question is actually quite easy.
You are asked to find AB, the hypothenuse.
The hypothenuse would be C.
BC and CA would be A and B.
It doesn't matter where are you going to place the numbers.
So,
= 113
Now we would have to square root 113 since
is an irrational number, and the question asks you to round ro the nearest tenth.
=10.63014581
≈ 10.63
Your answer would be 10.63
Hope this answer helped :)
x is the number of adults and y is the number of children.
x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
