Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:

Substitute the value of AB, QR and BC to solve for PQ;
or

On simplify:

Therefore, the length of side PQ is 36 units.
The correct answer for the question that is being presented above is this one: "D. b² − 3b + 18 R252. T<span>he quotient of b^3+4b^2-3b+126/b+7. In order to get the answer, you have to start dividing b^3 by b. Then multiply the quotient to b + 7. Then after that, subtract. Do the same thing until you reached the end.</span>
Answer:
Yes it is.
Step-by-step explanation:
Just multiply everything by 2.
Option A. is correct for the given condition.
Lets solve it through steps of range and functions,
First of all, Solve the equation:

(1)
(2)
So these would be the ranges of X in between 5 and -5.
Hence option A.
is correct.
Learn more about range and functions on:
https://brainly.ph/question/10400053
#SPJ10
ANSWER
The sphere is 10762 cubic centimeters bigger than the cube.
EXPLANATION
We want to find the difference in the volumes of the sphere and the cube.
To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.
The volume of a sphere is given as:

where r = radius
The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

The volume of a cube is given as:

where s = length of the side
The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

Therefore, the difference in the volumes of the sphere and cube is:

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.