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3 years ago

Simplify the expression 7(a−3+4b).

Mathematics

1 answer:

My name is Ann [436]3 years ago

4 0

Answer: 7a -21 +28b

Step-by-step explanation:

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Find each measurement indicated. Round your answers to the nearest tenth.

Crazy boy [7]

Answer:

Step-by-step explanation:

Find AB using the Law of Sine:

$\frac{AB}{sin(C)} = \frac{AC}{sin(B)}$

Thus:

$\frac{AB}{sin(40)} = \frac{47}{sin(103)}$

Multiply both sides by sin(40)

$\frac{AB}{sin(40)}*sin(40) = \frac{47}{sin(103)}*sin(40)$

$AB = \frac{47*Sin(40)}{sin(103)}$

AB = 31.0056916 ≈ 31.0 cm (nearest tenth)

6 0

3 years ago

If your test increased by 14 points, what percent did you increase if there were 50 questions in total? show work

solmaris [256]

Increase = 14
Total =50
Percentage increase = 14/50 x 100 = 28%

8 0

3 years ago

The area of the shaded sector is shown. Find the radius of circle M. Round your answer to the nearest hundredth.

Vaselesa [24]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the sector, its area and the angle at the center are not given.

I will solve this using the following illusration

The area of a sector is:

$Area= \frac{\theta}{360} * \pi r^2$

Assume that:

$\theta = 120$

$Area = 20$

The equation becomes

$20= \frac{120}{360} * \pi r^2$

Simplify

$20= \frac{1}{3} * \pi r^2$

Take: $\pi = 3.14$

$20= \frac{1}{3} *3.14* r^2$

Cross Multiply

$3.14 * r^2 = 20 * 3\\$

Solve for $r^2$

$r^2 = \frac{20 * 3}{3.14}$

$r^2 = 19.11$

Take square roots

$r = \sqrt{19.11$

$r = 4.4$

3 0

2 years ago

There is a bag with only red marbles and blue marbles.

hram777 [196]

Answer:

Step-by-step explanation:

The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)

7 0

2 years ago

8 1/2 minus 5 1/2? simplify

vichka [17]

Answer:

Step-by-step explanation:

Same as: 8.5-5.5 = 3

5 0

2 years ago

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