Answer:
5236
Step-by-step explanation:
let x=43
f(43)=3(43)^2-5
f(43)=3(1749)-5
f(43)=5241-5
f(43)=5236
*see attachment for the diagram of the wall
Answer:
6 cans
Step-by-step explanation:
First, let's calculate the area of the wall to be painted = area of a rectangle
Area of the rectangle = length*width
From the diagram,
Length = 13 ft
Width = 10 ft
Area = 13*10 = 130 ft²
Given that 1 can of paint covers 25 ft²,
Number of can of paints that will cover 130 ft² = 130/25 = 5.2
This means we will need more than 5 cans. So Joan will need to get roughly 6 cams of blackboard paint.
Answer:
<u>Longer leg = 5 feet</u>
<u>Shorter leg ≅ 2.89 feet</u>
<u>Hypotenuse ≅ 5.78 feet</u>
Step-by-step explanation:
Let's recall that this is a special type of triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides is 1: √3 :2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg.
Upon saying that, we can find the length of the legs of the triangle given:
Longer leg = 5 feet
Shorter leg * √3 = 5
Shorter leg = 5/√3 = 5√3/3 ≅ 2.89 feet
Hypotenuse = 2 * Shorter leg
Hypotenuse = 10√3/3 ≅ 5.78 feet
Answer:
C
Step-by-step explanation:
5.1 + 2y + 1.2 = -2 + 2y + 8.3 ( subtract 2y on each side)
5.1 + 1.2 = -2 + 8.3 ( collect like terms)
6.3 = 6.3
If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Ok, so here, we know that 60 is our total value of messages, but we need to find 15% of 60.
15% of 60
15*60 = 900
900/100 = 9
Final answer: She sent 9 messages to her best friend.