Answer:
<em>m<A = 40 deg</em>
<em>m<B = 60 deg</em>
<em>m<C = 80 deg</em>
Step-by-step explanation:
2x + 3x + 4x = 180
9x = 180
x = 20
m<A = 2x = 2(20) = 40
m<B = 3x = 3(20) = 60
m<C = 4x = 4(20) = 80
m<A = 40 deg
m<B = 60 deg
m<C = 80 deg
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
2^<span>(3/5) =(2^3) ^(1/5) =8^(1/5)
</span>2^(3/5) =(2 ^(1/5))^3
<span>can be expressed both ways</span>
Answer:
-232008
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
12 x 3 x 8 + 3 + 1 - 100 x 2323
Step 2: Multiply
36 x 8 + 3 + 1 - 100 x 2323
Step 3: Multiply
288 + 3 + 1 - 100 x 2323
Step 4: Multiply
288 + 3 + 1 - 232300
Step 5: Add
291 + 1 - 232300
Step 6: Add
292 - 232300
Step 7: Subtract
-232008
multiply both sides by the reciprical of 5/3 so:
3/5(5/3)w=-10(3/5)
w=-30/5= -6
