When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

1 answer:

8 0

Distribute -1/5 into the parentheses. Then you have -1/5x-25=7. Add 25 to both sides to get the equation-1/5x=32. Then divide both sides by -1/5 to get your answer.

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Solve for indicated variable. V= 1/3πr^2h solve for r

sergey [27]

$V=\frac{1}{3}\pi r^2h\\\\\frac{1}{3}\pi r^2h=V\ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\pi r^2h=3V\ \ \ \ |divide\ both\ sides\ by\ \pi h\\\\r^2=\frac{3V}{\pi h}\Rightarrow\boxed{r=\sqrt{\frac{3V}{\pi h}}}$

8 0

3 years ago

The probability of drawing a quarter from a bag of coins is 4/5. What is the probability of drawing a coin that is not a quarter

elixir [45]

The sum of probability for an event happening and not happening must be equal to 1 because there is a 100% chance that one or the other will occur.

So the probability on not drawing a quarter:

P(!Q)=1-4/5

P(!Q)=5/5-4/5

P(!Q)=1/5

As a percentage:

p/100=1/5

p=100/5

p=20%

8 0

3 years ago

What is the measure of Z if W equals to 116*

RSB [31]

Answer:

Z is also 116*

Step-by-step explanation:

The reason for them being the same is because of something called alternating angles. This process allows you to find two angle measurements by just finding one.

3 0

3 years ago

The height to the base of an isosceles triangle is 12.4m, and its base is 40.6m. What are the measurement of the angles of the t

Vsevolod [243]

Answer:

angles: 31.42°, 31.42°, 117.16°
legs: 23.79 m

Step-by-step explanation:

The base angles can be found from the definition of the tangent function:

tan(base angle) = height/(half-base length)

base angle = arctan(12.4/20.3) ≈ 31.418°

Then the apex angle is double the complement of this:

apex angle = 2(90° -31.418°) ≈ 117.164°

The base angles are 31.42°, and the apex angle is 117.16°.

The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.

leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters

The length of the legs is about 23.79 m.

5 0

3 years ago

Read 2 more answers

PLEASE HELP I GIVE THANKS

pishuonlain [190]

A.

If you roll up the quarter circle and cap the open end with the smaller circle, the resulting shape should be a cone.

4 0

3 years ago