A painter leans a 30 foot ladder against one wall of a house. At what height

An umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,

erica [24]

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

4 0

2 years ago

Can someone help<br><br> Write an equivalent expression for<br> 63.62.65.6.

Otrada [13]

When multiplying the same number raised to different powers add the powers together.

3 + 2 + 5 = 10

Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:

10 + 1 = 11

Answer: 6^11

5 0

3 years ago

A ball is rolled at a velocity of 12m/sec.after 36 seconds,it comes to a stop what is the acceleration of the ball?

miv72 [106K]

acceleration of ball is $\frac{-1}{3}\,\,m/sec^2$

Step-by-step explanation:

Initial Velocity = 12m/sec

time = 36 s

Final Velocity 0 m/sec (ball comes to stop)

Acceleration= ?

The formula used to find acceleration is:

$Acceleration=\frac{Final\,\,Velocity-Initial\,\,Velocity}{Time}$

Putting values and finding acceleration:

$Acceleration=\frac{Final\,\,Velocity-Initial\,\,Velocity}{Time}$

$Acceleration=\frac{0-12}{36}$

$Acceleration=\frac{-12}{36}$

$Acceleration=\frac{-1}{3}\,\,m/sec^2$

So, acceleration of ball is $\frac{-1}{3}\,\,m/sec^2$

Keywords: Acceleration

Learn more about Acceleration at:

#learnwithBrainly

8 0

3 years ago

Addison's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 70 espressos in all

Valentin [98]

Answer:

The number of single-shot espressos sold by the cafe was 49.

Step-by-step explanation:

It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.

Total number of espressos sold by the cafe yesterday afternoon was,

<em>N</em> = 70

The proportion of single-shot espresso sold was, <em>p</em> = 0.70.

Let <em>X</em> = number of single-shot espressos sold.

Compute the number of single-shot espressos sold by the cafe as follows:

$E(X)=N\times p$

$=70\times 0.70\\=49$

Thus, the number of single-shot espressos sold by the cafe was 49.

6 0

3 years ago

A student has a 30% chance of receiving chocolate ice cream for dessert at lunch. A statistics class designs a simulation to app

Nadusha1986 [10]

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

$P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}$

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch = 30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream" be $x$

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = $x$ (as there are $x$ sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space) = 10

Thus, we get probability of event E as:

$P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}$

This needs to be equal to 0.3, thus,

$0.3 = \dfrac{x}{10}\\x = 3$

Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

Learn more about probability here:

brainly.com/question/1210781

3 0

2 years ago

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