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2 years ago

Simplify the expression. 7x + 7 +5(x + 3) + 3

Mathematics

1 answer:

andrey2020 [161]2 years ago

4 0

Answer:

12x+25

Step-by-step explanation:

7x+7+5x+15+3

12x+25

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Find the perimeter of a regular octagon if one side has a measure of 8cm A) 16 cm B) 56cm C) 64cm D) 72cm

zysi [14]

C. 64cm
Hope this helps! :)

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2 years ago

Read 2 more answers

Does the line y = 3x + 1 pass through the point (4,15)

Firdavs [7]

No. when the line reaches 4 on the x axis it is at 13 on the y axis.

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1 year ago

We need to attach a support wire to Glendale's flagpole, which is 24 feet high. The

antoniya [11.8K]

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

4 0

2 years ago

A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car

olya-2409 [2.1K]

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

$C=2\pi r = 32\pi$

So, we have the following proportion:

$360\div 32\pi = x \div 48$

that you can read as: "if an angle of 360 corresponds to a distance travelled of $32\pi$ , then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

$x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9$

5 0

3 years ago

Which value is equivalent to: 1 1/2 divided by 4 1/2 x 1 1/3

Nostrana [21]

Answer:

The answer is 4/9

Step-by-step explanation:

Hi. Here's the work.

First turn everything into an improper fraction.

$1 \frac{1}{2}$ ÷ $4 \frac{1}{2} * 1 \frac{1}{3}$ = $\frac{3}{2}$ ÷ $\frac{9}{2} * \frac{4}{3}$

To divide fractions we multiply by the flipped version of the fraction, or the reciprocal.

$\frac{3}{2}$ ÷ $\frac{9}{2} * \frac{4}{3}$ = $\frac{3}{2} *\frac{2}{9} *\frac{4}{3}$

Now we just multiply the fractions!

$\frac{3 * 2 * 4}{2 * 9 * 3}$ = $\frac{4}{9}$

The answer is therefore 4/9. Please mark brainliest if possible and i hope you get a good grade on your homework. ;)

6 0

2 years ago