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patriot [66]
3 years ago
10

Inequality to compare -21 and -13

Mathematics
1 answer:
labwork [276]3 years ago
8 0
-21 is less than -13 so:

-21 < -13
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Three boxes have a total weight of 640 pounds. Box A weights twice as much as Box B. Box C weight 30 pounds more than Box A. How
Zarrin [17]

Answer:

  A: 244 pounds

  B: 122 pounds

  C: 274 pounds

Step-by-step explanation:

We have A+B+C = 640; A=2B; C=A+30. Substituting the last into the first gives ...

  A + B + (A +30) = 640

  2A +B = 610 . . . . . . . . . . . . subtract 30

Substituting the second into this equation gives ...

  2(2B) +B = 610

  B = 610/5 = 122 . . . . . divide by 5

  A = 2B = 244 . . . . . . . .find A from B

  C = A+30 = 274 . . . . . find C from A

Box A weighs 244 pounds; box B weighs 122 pounds; box C weighs 274 pounds.

4 0
3 years ago
Find an equation equivalent to r = 10sin ø in rectangular coordinates.
kherson [118]

Answer: x^2 + y^2 -10y = 0

Step-by-step explanation:

Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.

r= 10sin(θ)

Remember that:

x= r × cos(θ)

y= r × sin(θ)

r^2= x^2 + y^2

Multiply both sides of the equation by r. This will give:

r × r = 10r × sin(θ)

r^2 = 10r × sin(θ)

x^2 + y^2= 10r × sin(θ)

Because y= r × sin(θ), we can make a substitution. This will be:

x^2 + y^2= 10y

x^2 + y^2 -10y = 0

The above equation is the Rectangular coordinate equivalent to the given equation.

4 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!! For similar triangles, the side lengths are proportional. So, you can write a proportion relating th
valentina_108 [34]

Answer:

\frac{y}{2}=\frac{x}{1}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

\frac{y}{2}=\frac{x}{1}

5 0
3 years ago
Seth measured a hotel and made a scale drawing the the scale he used was 1 inch : 3 feet the actual of the hotel is 18 feet how
sertanlavr [38]

Answer:

Step-by-step explanation:

Width of the room in the drawing = x

1 : 3 :: x : 18

Product of means = Product of extremes

         3 * x =  18 *1

             x = 18 ÷ 3

            x = 6

Width of the room in the drawing = 6 inches

7 0
2 years ago
What does x=? I know it is vertical
Rudik [331]
The angles are <span>supplementary
</span>
7x + x + 20 = 180
8x = 160
x = 20
6 0
3 years ago
Read 2 more answers
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