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3 years ago

The diameter of a circle is 3.5 inches. What is the circumference of the circle?

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

About 11 (10.9955742876...)

Step-by-step explanation:

Circumference=(pi) (diameter) or C=πd

Hope this helps!

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In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near

Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

8 0

3 years ago

No step by step answers or links

inysia [295]

Answer:

1. k = 15

2. d = 20

3. n = 3

6 0

2 years ago

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

How do you convert length to cm, in, ml etc.

UNO [17]

Answer:

Use an online converter but there is something you should know

Step-by-step explanation:

There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).

Converting measurements in the imperial system by memory is very hard, but converting measurements in the metric system is more simple.

It is easier to learn by images so here is an image that explains it

Keep in mind that measurements like inches and centimeters are for distance, while gram and ounces are for weight.

4 0

2 years ago

A cheetah ran 196 meters in 8 seconds. Choose each statement that is true. A. 00:00 The cheetah can run 125 meters in 6 seconds.

KiRa [710]

Answers B, C, D are all correct!

If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.

Let’s verify all answers:

A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.
B) 24.5 x 10 = 245. This answer is correct!
C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!
D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!
E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.

4 0

3 years ago