Answer:
D). 
Step-by-step explanation:
<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)

<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.

<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

<u>STEP 1d:</u> Subtract 135 from 180.

STEP 2a: Find side b next.
STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

STEP 2c: Substitute the name of each side into the definition of the cosine function.

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

STEP 2e: Substitute the values of each variable into the formula for cosine.

STEP 2f: Cancel the common factor of 2.

HOPE THIS HELPS!
Answer:
8×10^21
Step-by-step explanation:
Asked and answered elsewhere.
brainly.com/question/10629871How do you calculate it? You start by expressing the density in the units you have. Then you multiply by appropriate conversion factors to get to the units you want. Treat units as though they were any other variable. A value cancels that appears in both the numerator and denominator of a fraction.
Answer:
(
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= 
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )
Answer:
8√21
Step-by-step explanation:
A rectangle has 2 congruent pairs. Those 2 pairs are ST/RU and SR/UT. If that is the case, then that means UV is 5 and SV is also 5. Now we have triangle SRU with a hypotenuse of 10 and a side of 4. Pythagorean Theorem:
4² + b² = 10²
b² = 84
b = 2√21
Segment SR is then equal to b. Now we move on to the area formula:
(2√21)(4) = 8√21
And that is your final answer.