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NNADVOKAT [17]
3 years ago
7

Solve for x: –|2x+3|=1

Mathematics
1 answer:
Anna [14]3 years ago
8 0

Step-by-step explanation:

-|2x+3|=1

-|2x+3|/-1=1/-1

|2x+3|=-1

2x=-1-3

2x=-4

2x/2=-4/2

x= -2

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You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the c
postnew [5]
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1) place the compass needle on the external point r.2) make the compass width greater than the distance from r to the given line.
3) draw an arc cutting the given line at two points.
4) mark and label the points of intersection p and q.
5) without changing the compass width, move the compass needle to q and draw another arc below the line crossing the previous arc.
6) move the compass needle to p and make an arc below the line.
7) mark and label the point of intersection s.
8) draw a line from the external point r to the point where the arcs intersect, s.
9) line rs is perpendicular to line pq and passes through the external point r.
6 0
3 years ago
the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi
emmasim [6.3K]

Answer:

<em>Area = 254.34 inches ³</em>

Step-by-step explanation:

The formula to find the surface area of a sphere is:

SA = 4\pi r^{2}

To find the volume of the sphere, we first need to figure out the radius (r) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. (1017.36 in^{2})

SA = 4\pi r^{2}

1017.36 = 4\pi r^{2}

Divide both sides by pi (3.14).

1017.36 = 4\pi r^{2}

324 = 4 r^{2}

Divide both sides by 4.

324 = 4 r^{2}

81 = r^{2}\\

Find the square root of both sides.

81 = r^{2}\\

\sqrt{81} = r

<em>radius = 9</em>

<em />

Insert the value of the radius into the formula for finding the volume of a sphere. (A=\pi r^{2})

(A=\pi r^{2})

A=\pi (9)^{2}

A=\pi (81)

A = 254.34

<em>Area = 254.34 inches ³</em>

<em />

~Hope this helps!~

4 0
3 years ago
Look at the photo pick A B C D either one explanation not needed thank you! &lt;3
padilas [110]

Answers

A. <

Explanation

-2.875_____ <u>-</u><u>9</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>8

-2.875_____-1.125

so

-2.875 < -1.1225

cause -2 is greater than -1

8 0
3 years ago
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.
belka [17]

The surface area of the image after the dilation is 219 3/8 m²

<h3>What is an area?</h3>

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

Find out more on area at: brainly.com/question/25292087

5 0
2 years ago
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.
lina2011 [118]

Answer:

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Step-by-step explanation:

As we are given that \triangle NOP is an right angled triangle.

\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled \triangle, we know that:

tan \theta = \frac{Perpendicular}{Base}

Here, \theta is \angle N, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.

So, tan 59^\circ = \frac{OP}{PN}

\Rightarrow OP = PN \times tan59^\circ

Putting the values of <em>PN </em>and tan59^\circ.

OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft

Hence, the value of <em>OP </em>is 12.3\ feet.

8 0
3 years ago
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