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Alex17521 [72]
3 years ago
14

What numbers multiply to -24 but add up to -2

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

4 and -6

Step-by-step explanation:

-6 + 4 = -2

-6 * 4 = -24

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A circle has a circumfernce of 13 it has a arc length of 11. What is the central angle of the arc in degrees
tatiyna

Answer: 304.6°

Step-by-step explanation:

First of all, using the circumference of the circle formula to find the radius of the circle.

Circumference of the circle = 13, ie

2πr = 13,

r = 13/2π ---------------------------- 1

Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.

Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so

πr0°/180 = 11 ------------------------ 2

Now solve for 0°, the central angle of the angle by making it the subject of the formula.

πr0° = 180 x 11

0° = 180 x 11

----------- ----------------- 3

πr

Now, put equation 1 in equation 3 and solve.

0° = 1980

--------

π x 13/2π

= 1980 x 2π

-----------

π.x. 13

= 1980 x 2

----------

13

= 3960/13

= 304.6°

Therefore, the central angle of the arc is 304.6°

Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.

5 0
3 years ago
A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many
Zarrin [17]

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

\rm a(\dfrac{\sqrt3}{2} \ a + 3h)

<h3>What is a triangular prism?</h3>

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}

The area of the rectangle will be

\rm Area \ of \ rectangle = a \ h

Then the total surface area will be

\rm Surface\ area =  2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area =  a(\dfrac{\sqrt3}{2} \ a + 3h)

More about the triangular prism link is given below.

brainly.com/question/21308574

7 0
2 years ago
PLEASE HELP DUE SOON
Mazyrski [523]

Answer:

A

Step-by-step explanation:

The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.

7 0
3 years ago
A movie theater sends out a coupon for 70% off the price off a ticket. a) Write an equation for the situation, where y is the pr
sergey [27]
Equation 1
y=x-0.7

equation 2
x=y+0.7

4 0
3 years ago
Read 2 more answers
What point located in quadrant I has an x-value that is 2 units from the origin and a y-value 7 units from the origin?
Lisa [10]

Answer:

The point is P(2,7)

Step-by-step explanation:

We are given the following information in the question:

A point is located in the  quadrant 1 in the following manner:

It has x-value that is 2 units from the origin.

It has a y-value 7 units from the origin.

Thus, the point is (2,7)

The attached image shows the marked point (2,7).

4 0
3 years ago
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