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3 years ago

Problem Number 6 Someone Help Me ??

Mathematics

2 answers:

seraphim [82]3 years ago

6 0

It's a, because an exponent means it's multiplied by itself that many times. so 3 times 3 is 9 then times 3 again is 27. but negative exponents are always fractions and since the normal number is positive it's D (sorry at first I didn't see d and c)

ipn [44]3 years ago

5 0

3⁻³ = -3 x -3 x -3 = -27
Answer = A

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What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to

olga_2 [115]

Answer:

$\boxed{\text{51.71 cm}^{2}}$

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

$A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}$

Data:

θ = 49°

r = 11 cm

Calculation:

$\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}$

4 0

3 years ago

Solve for "x" : 2x + 3x + 4x =36

Anestetic [448]

Answer:

Step-by-step explanation:

2x + 3x + 4x = 36

Evaluate like terms.

9x = 36

Find x.

x = 36 ÷ 9

x = 4

7 0

3 years ago

Read 2 more answers

Prove that the two circles shown below are similar.

Setler [38]

Answer:

The scale factor is $\frac{R_{A}}{R_{C}}=\frac{5}{2}$

We can say that both circles are similar.

Step-by-step explanation:

If we move the little circle to the center of the bigger circle, so the translate vector will be (3,5).

Now we realize that the bigger circle is just a dilation of the smaller circle, the scale factor is:

$R_{A}=5$

$R_{C}=2$

$\frac{R_{A}}{R_{C}}=\frac{5}{2}$

Therefore, we can say that both circles are similiar.

I hope it helps you!

8 0

3 years ago

Freida drove 50 miles in 15 minutes. At this rate, how many miles did she drive in 9

siniylev [52]

Answer:

30 miles

Step-by-step explanation:

The rate is distance /time

50 /15 =10/3 miles per hour

To find the distance traveled in 9 minutes, multiply the rate by the time

distance = 10/3 *9 = 30

30 miles

4 0

3 years ago

Read 2 more answers

Click image to see it all:))))

S_A_V [24]

9514 1404 393

Answer:

16 miles

Step-by-step explanation:

The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...

Sin = Opposite/Hypotenuse

Hypotenuse = Opposite/Sin

air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft

At 5,280 ft per mile, that is ...

(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi

The plane's air distance to the airport is about 16 miles.

4 0

3 years ago