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Nesterboy [21]
3 years ago
15

PLEASE HELP DUE IN 30 MINUTES FIND ? AND SHOW YOUR WORK

Mathematics
2 answers:
Ksivusya [100]3 years ago
8 0

Answer:

?= 180-(75+39)=66

Step-by-step explanation:

......

svlad2 [7]3 years ago
6 0

Answer:

66

Step-by-step explanation:

A triangle's angles always add up to 180.

So to find the missing angle, subtract the angles we already have by 180.

180-(75+39) = ?

180-114 = 66

I hope this helps!

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Find the volume and surface area of the composite figure. Give your answer in terms of π.
irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2

Hence the first option is correct ..

3 0
2 years ago
Which equivalent equation is the result of combining like terms in the given equation? 2r + 55 = 6r + 7 – 2r
nikklg [1K]
I hope I help you out
6 0
3 years ago
What is AE ? Enter your answer in the box. units Two segments A D and B C intersect at point E to form two triangles A B E and D
spin [16.1K]

Answer:

The length of AE is 20 units.

Step-by-step explanation:

Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.

we have to find the length of AE

AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD  

In ΔABE and ΔDCE

∠EAB=∠EDC      (∵Alternate angles)

∠EBA=∠ECD      (∵Alternate angles)

By AA similarity, ΔABE ≈ ΔDCE

therefore, \frac{AE}{ED}=\frac{AB}{CD}

⇒ \frac{2x+10}{x+3}=\frac{10}{4}

⇒ 8x+40=10x+30

⇒ x=5

Hence, AE=2x+10=2(5)+10=20 units

The length of AE is 20 units.

5 0
3 years ago
Complete the comparison: 3 + 7 &gt; ? A. 8 + 2 B. 10 − 2 C. 7 + 3 D. 9 + 4
Dafna1 [17]
3 + 7 > 10 - 2
10 > 8...correct
5 0
3 years ago
The model of a circular garden is 8 inches in diameter. The actual garden will be 20 feet in diameter. Find the scale of the mod
8_murik_8 [283]

Answer:

1/30 of a scale.

Step-by-step explanation:

Multiply the 20 by 12 to convert it to inches.  Then divide the answer by 8 to get the scale.

3 0
3 years ago
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