Step-by-step explanation:
The hypotenuse of a right-angled triangle = 25 cm
One side is twice as long as the other.
Let the other side is x.
First side = 2x
Using Pythagoras theorem to find the lengths of the shorter sides.

So, the other side = 11.18 cm
First side = 2(11.18) = 22.36 cm
So, the lengths of the shorter sides are 11.18 cm and 22.36 cm.
Answer:
x=5 and x=1
Step-by-step explanation:
3 |-3x + 9| = -18
/3 /3
|-3x + 9| = -6
-3x + 9 = -6 -3x + 9 = 6
-9 -9 -9 -9
-3x = -15 -3x = -3
/-3 /-3 /-3 /-3
x = 5 and x = 1
Answer:
QPR = 73
Step-by-step explanation:
there opposite angles so there equal, therefore we set them equal to each other
(6x+25)=(10x-7)
-4x= -32
x= 8
plug in
6(8)+25
73
Answer:
h(1) = 1, h(2) = 3, h(3) = 4
Step-by-step explanation:
Given function h(x)
<u>Need to find :</u>
<u>h(1) falls under the second condition as -2 ≤1<2:</u>
- h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1
<u>h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:</u>
- h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3
- h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4
Answer:
Step-by-step explanation
There are 8 boys and 6 girls and you have to choose 3 of each to go on the picnic. You can do this by doing: 8C3 x 6C3. This equal 56 x 20. So the answer to PART A: 1120 WAYS THE PICNIC TEAM CAN BE FORMED, PART B: 1120 WAYS THE EDUCATION TOUR CAN BE FORMED
this is because if you already choose the picnic team, then the rest of the kids just go to the tour, so the answer is the same for both (1120 ways)