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serious [3.7K]
3 years ago
13

The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value

Mathematics
1 answer:
KiRa [710]3 years ago
5 0
|x - 190|≤10

Solved: 180≤x≤200
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What is the value of this expression when<br> d= 47 and f = 3?<br> 6 (d - f) +f
agasfer [191]

Answer:

267

Step-by-step explanation:

We are given the expression:  6 (d - f) +f

The value of the expression when d= 47 and f = 3 is :

6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267

=267

7 0
2 years ago
The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
Look at the formula for the volume of a cylinder below.
scZoUnD [109]
h = V / ( \pi r^2)

Okay, so we already have the volume equation for a cylinder here.
V = \pi r^2 h
Since we need to find the height(h), we need to basically isolate it in the equation. To do that we just have to divide both sides by (pi * r^2), where we end up with:
V / (\pi r^2) = h(\pi r^2) / (\pi r^2)
then
V / ( \pi  r^2) = h
h = V / ( \pi r^2)
8 0
3 years ago
Four brother each bought two hotdogs and a bag of chips at the football
jeyben [28]

Answer:

A-$1.65

Step-by-step explanation:

You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the  left over amount from subtracting the chips you get how much each hot dog is worth.

8 0
3 years ago
4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
Bezzdna [24]

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

3 0
2 years ago
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