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3 years ago

Using altitude and hypotenuse to find the area of a right triangle

1 answer:

3 0

First use Pythagoras theorem to find the remaining length of the base.
Then multiply the base with the altitude and divide that by 2 and you'll get the area

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The function p(x) = _2(x _ 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from

Valentin [98]

Answer:

Option (b) is correct.

The profit from sales if the price of the T-shirts were $15 a pieces is $28.

Step-by-step explanation:

Given : The function $p(x)=-2(x-9)^2+100$ is used to determine the profit on T-shirts sold for x dollars.

We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

Consider the given profit function $p(x)=-2(x-9)^2+100$

For the profit, if the price of a t-shirt is $ 15

Put x = 15, we have,

$p(15)=-2(15-9)^2+100$

Simplify, we have,

$p(15)=-2(6)^2+100=-2\cdot 36+100$

Also, $p(15)=-72+100=28$

Thus, we get, The profit from sales if the price of the T-shirts were $15 a pieces is $28.

5 0

3 years ago

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An airplane is traveling in the direction 20 degrees west of north at 700 km/hr. Find the component form of the velocity of the

OLga [1]

Answer:

(-239.4, 657.8) km/h

Step-by-step explanation:

Measured CCW from the +x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...

(700 km/h)(cos(110°), sin(110°)) ≈ (-239.4, 657.8) km/h

4 0

3 years ago

Y=-3/8x-7 in standard form

Readme [11.4K]

Y = -3/8x - 7....add 3/8x from both sides
3/8x + y = -7 ...multiply both sides by 8
3x + 8y = - 56 <==

6 0

3 years ago

A and B are two events.

maria [59]

Answer:

0.8

Step-by-step explanation:

We can solve P(A or B) by using the following:

$P(AorB)=P(A)+P(B)-P(AandB)$

Since we know P(A) = 0.6, P(B) = 0.3 and P(A and B) = 0.1 we obtain:

$P(AorB)=0.6+0.3-0.1=0.8$

4 0

3 years ago

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9. Wit

ryzh [129]

There are 90 different identification numbers possible.

<h3>What are the permutation and combination?</h3>

In terms of mathematical concepts, “permutation” and “combination” are related to each other.

The combination is the counting of selections that we make from n objects.

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9.

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are;

10 × 10 = 100 total possible PINs.

Now, because you can't use the same number twice, we subtract 10 from 100 because there are 10 numbers that can match themselves.

100 -10 =90

Hence, there are 90 different identification numbers possible.

Learn more about combination here;

brainly.com/question/24138361

#SPJ2

5 0

2 years ago

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