It will increase by 5/9 of a degree.
If you convert the given equation into slope intercept form, you will have:
c = (5/9)f + 160/9
In this form, it is easier to see the slope. The line would be increase by a rate of 5/9.
I believe the answer is supplementary
Given:
x = 12 in, y = 16 in and z = 20 in
To find:
The surface area of the geometric shape.
Solution:
Area of top rectangle = z × z
= 20 × 20
Area of top rectangle = 400 in²
Area of middle rectangle = z × y
= 20 × 16
Area of middle rectangle = 320 in²
Area of bottom rectangle = z × x
= 20 × 12
Area of bottom rectangle = 240 in²
Area of left triangle = 
Area of left triangle = 96 in²
Area of right triangle =
Area of right triangle = 96 in²
Surface area = 400 + 320 + 240 + 96 + 96
= 1152
The surface area of the geometric shape is 1152 in².
Answer:
STEP 3
Step-by-step explanation:
Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.
A unit circle is shown. A ray intersects point (negative 2, negative 10) in quadrant 3. Theta is the angle formed by the ray and the x-axis in quadrant 1.
Francesca made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also resulted in incorrect cosecant, secant, and tangent functions.
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Answer:
?? = 900
Step-by-step explanation:
Solve algebraically
let x be ball and y be cube
x + y = 100
x - y = 80
xy = ??
We can solve by elimination. Eliminate one of the variables by adding OR subtracting the entire equations. I will add.
. x + y = 100
<u>+ x - y = 80</u> y + - y = y - y = 0; The variable is eliminated
. 2x = 180 Divide both sides by 2 to isolate x
. x = 90
Substitute x = 90 into one of the equations.
x + y = 100
90 + y = 100 Isolate y by subtracting 90 from both sides
y = 100 - 90
y = 10
Find xy = ?? by substituting y for 10 and x for 90.
xy = (90)(10) = 900
Therefore the value of ?? is 900.
