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3 years ago

The shorter leg of a right triangle is 10 meters. the hypotenuse is 2 meters longer than the longer leg. Find all three sides

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

Answer:

the shorter leg is 10 meters, longer leg is 24 meters and the hypotenuse is 26 meters

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Andy wants to be able to do a 180 degree turn on his skateboard. He can now do a 120 degree turn. How many more degrees does he

elena-14-01-66 [18.8K]

Answer: $60^{\circ}$

Step-by-step explanation:

Given

Andy wants to turn $180^{\circ}$ on his skateboard

Currently, he can make a turn of $120^{\circ}$

The difference between the required and current turn degree meets his goal i.e.

$\Rightarrow 180^{\circ}-120^{\circ}\\\Rightarrow 60^{\circ}$

Thus, he needs to turn by $60^{\circ}$ to meet his goal

8 0

3 years ago

Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of

Lubov Fominskaja [6]

Answer:

The answer is "0.6227 and 0.5971".

Step-by-step explanation:

$\to p(x\leq 2)=p(0)+p(1)+p(2)$

$=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227$

$\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}$

$\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx$

$=1-emp1-2|2.2\\\\=0.5971$

7 0

3 years ago

A $70 dollar jacket is on sale for 25%. What is the new price?

nadya68 [22]

25% = 0.25
70*0.25 = 17.50
Subtract 17.50 from 70
70-17.50 = $52.50

6 0

3 years ago

Help me solve (b) in this quadrilateral

Savatey [412]

Answer:

b = 87°

Step-by-step explanation:

In order to answer this question, we need to utilise an important angle fact which is <em>angles in a quadrilateral add up to 360° </em>

Using the information we can set up an equation to find the value of b

→ Form equation

63 + 140 + 70 + b = 360

→ Simplify

273 + b = 360

→ Minus 273 from both sides isolate b

b = 87°

3 0

2 years ago

Read 2 more answers

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