Answer:
13.44 or 13 11/25 hours
Step-by-step explanation:
First use this format: number of essays/hours
- they are asking if all three work together, how many hours would it take, so this means addition:
50/7 + 50/14 + 25/6 = 200/x
Second, solve:
- least common multiple: 42
300/42 + 150/42 + 175/6 = 200/x
625/42 = 200/x
- cross-multiply
625x = 8,400
x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)
Answer:
<h2>MP ≈ 2.98 cm</h2>
Step-by-step explanation:
Use sine:

We have:

Substitute:

<em>cross multiply</em>
<em>divide both sides by 1,000</em>

Answer: do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
Answer:
42.1 cm
Step-by-step explanation:
θ = 265°
Radius (r) = 9.1 cm
Arc length of major arc GH = θ/360 × 2πr
Plug in the values into the equation
Length of arc GH = 265/360 × 2 × π × 9.1
= 42.0886149
= 42.1 cm (nearest tenth)
Answer:
y=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(y−2)=12
Step 1: Simplify both sides of the equation.
−4(y−2)=12
(−4)(y)+(−4)(−2)=12(Distribute)
−4y+8=12
Step 2: Subtract 8 from both sides.
−4y+8−8=12−8
−4y=4
Step 3: Divide both sides by -4.
−4y
−4
=
4
−4
y=−1