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3 years ago

In angle abc , m angle A =x , m angle B =2x+2, m angle C = 3x+4.what is value x

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

A + B + C = 180
x + 2x + 2 + 3x + 4 = 180
6x + 6 = 180
6x = 174
x = 29

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approximate each irrational number to the nearest hundredth without using a calculator square root of 118 and 319

Strike441 [17]

Answer:

$\sqrt{118}\approx 10.86$

$\sqrt{319}\approx 17.86$

Step-by-step explanation:

Consider the provided number.

We need to find the approximate value of $\sqrt{118}$ to the nearest hundredth.

First find two perfect squares that the irrational number falls between.

$100$

118 is lying between 100 and 121, therefore the square root value of 118 will be somewhere between 10 and 11.

$\sqrt{100}$

$10$

118 is closer to 121 as compare to 100.

Therefore, $\sqrt{118}\approx 10.86$

Consider the number $\sqrt{319}$

First find two perfect squares that the irrational number falls between.

$289$

319 is lying between 289 and 324, therefore the square root value of 319 will be somewhere between 17 and 18.

$\sqrt{289}$

$17$

319 is closer to 324 as compare to 289.

Therefore, $\sqrt{319}\approx 17.86$

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3 years ago

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Elenna [48]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which TH

ladessa [460]

A, B, D

A: because there are two colour types in a deck of cards, so it’s 1/2 probability of getting a black one.

B: because there a four suits in a deck of cards, so the probability of getting a diamond is 1/4

D: because when calculating compound events we multiply the two probabilities,
so 1/2 x 1/4 = 1/8

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3 years ago

HELP DUE IN 60 MINS!

sveticcg [70]

Answer:

corresponding angle
, Reflexive Property of Congruence
AA APostulate,

6 0

3 years ago

A cylindrical canister contains three tennis balls. Assume the tennis balls touch the sides of the canister and the top and bott

sweet-ann [11.9K]

Ok, so we know that teh diameters of the 3 tennis balls added up equals the height of the canister

also, since the tennis balls touch the sides, the diameter of the tennis ball=diameter of the base

so what we do is
canister volume-3tennisballvolume=wasted space

normally alot of the equations are using radius so
2.7=diameter
diameter=2r
d/2=r
2.7/2=r
1.35=r

since we are to aprox volume to hundreth. use 3.14=pi

volume of cylinder=hpir^2
volume of sphere (tennis ball)=volume of spere= $\frac{4}{3}pir^{3}$

first find volume of cylinder

h=3 times diameter of 1 tennis ball=3 times 2.7=8.1
r=1.35
vofcylinder=8.1 times 3.14 times 1.35^2
v=25.434 times1.8225
v=46.353465 (keep as many digits a possible for accuracy)

volume of tennis balls=volume of shpere times 3
v= $\frac{4}{3}pir^{3}$ times 3
and we can see that the 4/3 and the 3 cancel to get 4
v= $4pir^{3}$
v= $4pi1.35^{3}$
v=4(3.14)(2.460375)
v=30.90231

so we have
volume of canister=46.353465 in^3
volume of tennis balls=30.90231 in^3
subtract
wasted space=46.353465-30.90231
wasted space=15.451155
round to hundreth
15.45

wasted space=15.45 in^3

8 0

3 years ago