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1 year ago

A side of the triangle below has been extended to form an exterior angle of 133º. Find the value of x. 133° 21° xo

Mathematics

1 answer:

Nataly [62]1 year ago

5 0

In order to find the value of x, we need to remember that the sum of the interior angles of a triangle is 180°

so we have the next equation

21+x+(180-133)=180

21+x+47=180

x=180-21-47

x=112°

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A rectangle is bounded by the x-axis and the semicircle y = √(36 – x^2). Write the area A of the rectangle as a function of x, a

Dafna11 [192]

A(x)=2x·√36-x²
this is the answer.

8 0

3 years ago

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,

maks197457 [2]

Answer:

(18,27) , because the rate of change of the function is $\frac{4}{3}$

Step-by-step explanation:

step 1

Find the slope of the linear equation

Looking at the table

we have the points (0,3) and (3,7)

The slope is equal to

$m=(7-3)/(3-0)=\frac{4}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=\frac{4}{3}$

$b=3$ -----> point (0,3) is the y-intercept

substitute

$y=\frac{4}{3}x+3$

The rate of change of the linear equation is equal to $\frac{4}{3}$

Remember that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

<u><em>Verify </em></u>

1) point (18,27)

substitute the value of x and the value of y in the linear equation

$27=\frac{4}{3}(18)+3$

$27=24+3$

$27=27$ -----> is true

The ordered pair is a solution of the linear equation

therefore

The point (18,27) could also be an ordered pair in the table

2) point (27,18)

substitute the value of x and the value of y in the linear equation

$18=\frac{4}{3}(27)+3$

$18=36+3$

$18 \neq 39$ -----> is not true

The ordered pair is not a solution of the linear equation

therefore

The point (27,18) could not be an ordered pair in the table

3 0

3 years ago

Read 2 more answers

GRADE 6 MATHEMAT 12. Look at the data set. 12, 34, 27, 27, 36, 42, 15, 28, 32, 47, 30 Which statement is true about the data set

adelina 88 [10]

The statement is true because it's going in accending order.

the prerquartute 11 question

Step 1: Put the numbers in order.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: Find the median.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: Place parentheses around the numbers above and below the median.

Not necessary statistically, but it makes Q1 and Q3 easier to spot.

(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: Find Q1 and Q3

Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.

(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: Subtract Q1 from Q3 to find the interquartile range.

18 – 5 = 13.

<h2>From CAMBRIDGE UNIVERSITY</h2><h2></h2>

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3 years ago

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Neporo4naja [7]

Answer:

Step-by-step explanation:

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3 years ago

Alisa hair grows at a rate of 1/2 inch per month. How many months will it take for her hair to grow 8 inches

Alekssandra [29.7K]

It takes Alisa 16 months to grow her hair 8 inches.

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4 years ago