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3 years ago

Write the word sentence as an inequality. Then solve the inequality. 3/4 is greater than or equal to a number k divided by -8

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

Answer:

$\frac{3}{4} \geq \frac{k}{-8}$
k ≥ -6

Step-by-step explanation:

Re-arrange: $\frac{3}{4} \geq \frac{k}{-8}$
Multiply each side by -8 to cancel out the -8 under k. It should now look like this: k ≥ -6

I hope this helps!

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An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Natalka [10]

Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

$\theta = \dfrac{l}{r} ..... (1)$

where $\theta$ is the central angle in radians subtended by arc

$l$ is the length of arc

$r$ is the radius of arc

We are Given the following details:

$l = \dfrac{5\pi}{4}\ inch$

$\theta = 15^\circ$

We know that $\pi \ radians = 180 ^\circ$

Converting $\theta$ to radians:

$\theta =\dfrac{\pi}{180} \times 15$ radians

Putting the values of $\theta$ and $l$ to find the value of $r$

$\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches$

Hence, Radius of the circle is 15 inches.

6 0

3 years ago

Combine Like Terms: x^2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

Serga [27]

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

8 0

3 years ago

FOR MANY POINTSish

dangina [55]

x will represent the first unknow number

6x will represent the second number

the two numbers together will equal 21

6x + x = 21 combine like terms

7x =21 divide both sides by 7

x =3

Hope that helps.

brainliest is always appreciated.

4 0

3 years ago

Solve −3x2 + 30x − 90 = 0. x equals 5 plus or minus 2i square root of 5 x equals 5 plus or minus i square root of 5 x equals 10

Tcecarenko [31]

The x in your equation is 16/5 or 3 1/5 or 3.2 if you want it simplified

5 0

3 years ago

Read 2 more answers

Help! locus points!

Liula [17]

Answer:

Circle X with radius 2 cm.
Either of two lines parallel to AB.

Step-by-step explanation:

1. The definition of a circle is all the points in a plane that are at some radius r from a given point (the circle center). That is what you have, with a radius of 2 cm.

2. Parallel lines are the same distance apart everywhere. Each line will have two parallel lines at some given distance from it, one on each side. Here, the separation distance from AB is 1 cm, so your locus of points is the two lines parallel AB that are 1 cm from it on either side.

5 0

3 years ago