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Veronika [31]
3 years ago
10

Use the diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 93

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

Step-by-step explanation:

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the spinner is divided in to 8 equal sections. if the arrow lands on a number, what is the probability that it will land on a 1
Tcecarenko [31]

25% there are 8 sections and there are two you are trying to land on making it 2/8=25%

3 0
3 years ago
A pattern has 8 blue triangles to every 8 yellow triangles. What is the ratio of yellow triangles to blue triangles?
Tpy6a [65]

Answer:

1:1

Step-by-step explanation:

if there are 8 of the yellow to 8 of the blue then the ratio would be 8:8 and that can simplify to 1:1 :)

6 0
4 years ago
(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1)
lesya [120]

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

y=7-4x

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

y=mx+b                ...(i)

We have,

y=7-4x                   ...(ii)

On comparing (i) and (ii), we get

m=-4

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-2-1}{2-(-3)}

m=\dfrac{-3}{2+3}

m=\dfrac{-3}{5}

Therefore, the gradient of the line L is \dfrac{-3}{5}.

6 0
3 years ago
at which values of x does the graph of f(x)=x^2-x-2/(x^2-1)(x^2-16) have a vertical asymptope? check all that apply
katen-ka-za [31]

Answer:

x = -4, 1, 4

Step-by-step explanation:

The function is given as:

f(x) = (x² - x -2)/[(x² - 1)(x² -16)]

We want to find the values of x where the graph will have vertical assymptote.

Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.

Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.

We have;

[(x² - 1)(x² -16)] = 0

Thus,

x² - 1 = 0

Or

x² - 16 = 0

So;

x² = 1

x = √1

x = 1

Or

x² = 16

x = ±√16

x = ±4

Values of x that give vertical assymptote are;

x = -4, 1, 4

3 0
3 years ago
Phil takes out a bank loan of $150 000 to buy a house, at an annual interest rate of 3.5%. The interest is calculated at the end
Deffense [45]

Answer:

You would owe the bank <u>$105,000</u> in interest after 20 years.

Step-by-step explanation:

You first have to find what the one-year interest dollar amount, which is $5,250.

Then you simply multiply the one year dollar amount, by 20. (years).

20  x   $5,250  =  $105,000

giving you your final answer of <u><em>$105,000</em></u>

8 0
1 year ago
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