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katrin2010 [14]
3 years ago
13

In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0
In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

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Someone please help me
lutik1710 [3]

Answer:

18

Step-by-step explanation:

I did that in my head could be wrong

3 0
3 years ago
Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.
Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3  is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

6 0
2 years ago
Use the distributive property and the diagram to match an expression that is equivalent to 12+4x.
Ket [755]

4(3+x)

This is because 4*3=12 and 4*x is 4x so you get 12+4x which is the original equation

8 0
3 years ago
Find the slope of every line that is perpendicular<br> to this one
ArbitrLikvidat [17]

Answer:

1

Step-by-step explanation:

The slope of this line is -1 or -1/1, and to find the perpendicular slope you find the opposite of the reciprocal, which in this case would be 1/1 which simplifies to 1.

7 0
4 years ago
A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ
Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.                                            

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

p(s) = 47.87 + 0.062s

Comparing it to linear equation, we have,

y= mx + c

where m is the slope and c is the y-intercept.

m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

p(2500) = 47.87 + 0.062(2500) =202.87

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

p(1100) = 47.87 + 0.062(1100) =116.07

Original price = 116.07 thousand dollars

Asking price =

116.07 - 6 = 110.07

The buyer is asking for 110.07 thousand dollars.

$6000 is called the error term.

3 0
4 years ago
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