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3 years ago

Complementary angles definition geometry

Mathematics

1 answer:

sesenic [268]3 years ago

6 0

Two angles that added together equal 90 degrees

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What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from a) 5 to 11? b)2 to 8? c)10

LenKa [72]

Answer: 1/2, 1/2, 1/4

Step-by-step explanation:

To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12

Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number

13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution

4 0

2 years ago

Read 2 more answers

To finance her community college education, Sarah takes out a loan for $3400. After a year Sarah decides to pay off the interest

sdas [7]

She has to pay $170 i think

5 0

3 years ago

Can anyone help me solve 23, 24?

zimovet [89]

Answer:

Problem 23) $y=3x+6$

Problem 24) $y=-\frac{1}{3}x-5$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(0,2)\ B(3,1)$

Substitute the values

$m=\frac{1-2}{3-0}$

$m=-\frac{1}{3}$

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

$m1*m2=-1$

Find the slope of the line

we have

$m1=-\frac{1}{3}$

substitute in the equation and solve for m2

$(-\frac{1}{3})*m2=-1$

$m2=3$

with the slope m2 and the point $(0,6)$ find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=3$

$b=6$ -----> the given point is the y-intercept

substitute

$y=3x+6$

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

with the slope m1 and the point $(0,-5)$ find the equation of the line

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{3}$

$b=-5$ -----> the given point is the y-intercept

substitute

$y=-\frac{1}{3}x-5$

8 0

3 years ago

Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

ale4655 [162]

It is a scalene triangle.

7 0

3 years ago

A spherical ball has a diameter of 12 inches. The ball has a slow leak in which air escapes at the rate of 4.5 cubic inches per

stellarik [79]

Answer:

Step-by-step explanation:

It would be 54 because 12*4.5 = 54.

6 0

3 years ago