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3 years ago

Define an altitude of a triangle.

1 answer:

6 0

An altitude is a line which passes through a vertex of a triangle, and is at right angles to the opposite side. A triangle has three altitudes.

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What is the LCM of 30 and 45? a0

Alik [6]

90 is the LCM of 30 and 45

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3 years ago

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Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

3 years ago

What’s the correct answer for this question?

olga_2 [115]

Answer:

107 meters

Step-by-step explanation:

Central angle = 123°

In radians

123° = 123π/180

123° = 2.147 radians

Putting in formula

S = r∅

S = (50)(2.147)

S = 107 meters

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3 years ago

Help needed ASAP will give you BRAINLIEST and 5 stars rate

tamaranim1 [39]

Answer:

Vehicle A with 25 mpg

Step-by-step explanation:

You get the slope.

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3 years ago

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-7(x - 5) = 91 bro I need help and i must show work

fredd [130]

Answer:

X = -8

Step-by-step explanation:

-7(x-5)=91

x-5=-13

x=-13+5

x=-8

5 0

2 years ago