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3 years ago

14. The measures of two complementary angles are 12x-9 and 8x+14. Find the

Mathematics

1 answer:

Rudik [331]3 years ago

8 0

Step-by-step explanation:

Since they are complementry angles :

(12x-9) + (8x + 14) = 90°

20x + 5 = 90°

X = 4.25 °

Angles are 42° and 48°.

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A truck whose bed is 2.5m long, 1.5m wide, and 1.0m high is delivering sand for a sand-sculpture competition. About how many tri

Flura [38]

Answer:

68.6 Trips

Step-by-step explanation:

2.5m+1.5m+1.0=5

5m per trip

7m^3=343

divide the amount that can fit in each trip (5m)

by the amount of sand needed for the sculpture. (343m)

343 /5=68.6

8 0

3 years ago

Read 2 more answers

Can someone help me simplify this answer I keep getting it wrong?

ZanzabumX [31]

The answer is -8

I found my answer by using desmos. It is the best app for graphing. I wrote the equation and then I looked for the point 18 on the y axis and then I looked where it was on the x axis

that is how I found my answer.

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3 years ago

Write the equation in standard form for the circle with center (0, -6) and radius 7.

LUCKY_DIMON [66]

Step-by-step explanation:

the equation of circle is given by

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} \\ (x - 0) {}^{2} + {(y + 6)}^{2} = {7}^{2} \\ {x }^{2} + {y}^{2} + 12y + 36 = 49 \\ {x }^{2} + {y}^{2} + 12y = 13$

4 0

2 years ago

The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma

lilavasa [31]

Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)

3 0

3 years ago

Solve the problem:

stepan [7]

volume of the box is 675 cubic inches

A machine produces open boxes using square sheets of plastic.

It is a square sheet so length and width are same

Lets assume length as x so width is also x

The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.

After turning up the sides the height of the box becomes 3 inches

We know the volume of a box formula

Volume = Length * width * height

We know length is x , width is x and height = 3

So V = x * x * 3

Given volume = 675 cubic inches

$675 = x * x * 3$

$675 = x^2* 3$

Divide by 3 on both sides

$225 = x^2$

Now we take square root on both sides

x = 15

the length of one side of the open box is 15 inches.

5 0

3 years ago