Answer:
61°
Step-by-step explanation:
Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.
Sum of all the degrees of all five angles = 540°
The variable x is representing our last unknown degree.
90° + 107° + 144° + 138° + x° = 540°
Add up all the known degrees and solve for x.
479° + x° = 540°
Subtract 479 on both sides so that we can isolate x.
479° + x° - 479° = 540° - 479°
x° = 61°
So our final answer is 61°
3.2E-9
A bit complicated, so PLEASE don't ask for an explanation
Answer:
The real solution is 
.
Step-by-step explanation:
while 
So the equation becomes:
We know that 
. So let's see what gives us:
.
is the result we wanted.
is therefore a solution.
We have that
<span>1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm
[surface area]=[area of 4 triangles sides]+[area of square base]
</span>[area of square base]=24*24--------> 576 cm²
[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²
the answer part 1) is option B) 1536 cm²
<span>2. Use 3.14 for π and round to the nearest tenth.
</span>Find the surface area of the cylinder<span>
radius=8 in
<span>height= 8 in
</span></span>[surface area]=2*[area of circular base]+[Perimeter of base]*h
[area of circular base]=pi*8²----> 200.96 in²
Perimeter=2*pi*8--------> 50.24 in
[surface area]=2*[200.96]+[50.24]*8-----------> 803.84 in²
the answer Part 2) is the option C) 803.8 in²
<span>3. Find the volume of the cylinder.
</span>[volume of the cylinder]=[area of circular base]*h
[volume of the cylinder]=[200.96]*8---------> 1607.68 in³
the answer Part 3) is the option A.) 1607.7 in.3
<span>4.Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm
</span>
[volume of a rectangular prism]=L*B*H
[volume of a rectangular prism]=5*7*3----------> 105 mm³
the answer part 4) is the option <span>B.) 105 mm3
</span><span>5.Find the volume of the given pyramid.
A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
</span>this question is incorrect
the correct question is
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
or
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)
<span>we will solve the two cases
</span>
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
[volume of the pyramid]=pi*r²*h/3---------> pi*9²*7/3---------> 593.46 yd³
the answer Part 5a) is 593.46 yd³
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)
[volume of the pyramid]=b²*h/3---------> 7²*7/3---------> 114.33 yd³
the answer Part 5b) is 114.33 yd³
<span>6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.
[</span>volume of a square pyramid]=b²*h/3---------> 9²*4/3-------> 108 cm³
the answer Part 6) is the option <span>B.)1</span>08 cm³
Answer:
11/3
Step-by-step explanation:
3 2/3
3 × 3 + 2/3
9 + 2/3
11/3
