Answer:
Step-by-step explanation:
<u>−2 1/6 divided by 1 1/4:</u>
- -2 1/6 ÷ 1 1/4 =
- - 13/6 ÷ 5/4 =
- - 13/6 × 4/5 =
- - 26/15 =
- -1 11/15
First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
The measured value of Theta is 53.1 degrees.
Given
The radius of the circle below intersects the unit circle at (3/5, 4/5).
<h3>What is tan theta?</h3>
The measure of the tan angle is defined as the ratio of perpendicular by the base.
The measure of the tan theta is;

Where the value of x is 3/5 and y is 4/5.
Substitute all the values in the formula

Hence, the measured value of Theta is 53.1 degrees.
To know more about Trigonometric ratios click the link given below.
brainly.com/question/22698523
Answer:
250 questions
Step-by-step explanation:
65 is equal to 26% of the total number of questions so:
65 / total number of questions (x) is equivalent to 26 / 100
(65 and 26 are a fraction of the whole thing. it doesn't matter whether they go on the numerator or denominator, as long as they are either both on one or the other)
65/x = 26/100
you can simplify this into
26x = 6500
/26 /26
then you divide by 26 on both sides to isolate the variable
x = 250
<h3>
Answer: Choice B</h3><h3>2W+2( W+4 1/4) = 124 1/2</h3>
=========================================
Explanation:
L = length
W = width
"The length is 4 1/4 longer than the width" (paraphrase) so
L = W + 4 1/4
This means,
P = perimeter = 124 1/2
P = 2L+2W
2L+2W = P
2W+2L = P
2W+2( L ) = P
2W+2( W+4 1/4) = 124 1/2