The point B is at the centre of the circle.
The points P and Q are on the circumference of the circle.
Calculate the area of the shaded sector.
take π to be 3.142 in your working.
Give your final answer to 1dp

Answer:

21 Students

Step-by-step explanation:

Number of students earning the award = (15 / 100) x 140

Number of students earning the award = 0.15 x 140

Number of students earning the award = 21

Therefore, 21 of the 140 seventh-grade students earn the Presidential Physical Fitness Award.

Step-by-step explanation:

The difference beteen 9.2 ounces and 8.1 ounces is  1.1 ounces

   and the difference in price is   .49

       so 1.1 ounces cost .49

           $ .49 / 1.1 oz = $  .445  per ounce

Then Reid's bowl should cost   7.8 oz  * $ .445 / oz = $3.47

Answer:

it would be 1000.

Step-by-step explanation:

Since the decimal spot is moved three times you'd have to add two 0s in the 10.

A) Yes, the smaller cone is similar to the original cone. They are similar because the smaller cone is half of the original cone.

B) The volume of the larger cone is 56.52 and the volume for the smaller cone is 7.065

\(V=3.14* 3^2\frac{6}{3}\)

\(V=3.14*1.5^2\frac{3}{3}\\\)

C) The ratio of the volume of the larger cone and the smaller cone is the top/smaller cone is half the volume of the bottom/larger cone

D) The Volume of the frustum is 49.455

\(V = (1/3) * 3.14 * 3* (1.5^2 + 3^2 + (1.5 * 3))\)

Answer:

Step-by-step explanation:

I don’t know

Answer:

0.09

Step-by-step explanation:

From what I'm understanding you have to use powers of 10. Here's how they work:

All you do is move the decimal point, I know that may sound weird but let me explain.

When we are working with powers of 10 you just multiply the number by 10.

10 x 0.009

Now instead of having to type that into a calculator, or working it out, you can just move the decimal point to the right or the left.

Here's how I remember it:

Multiplying- move it to the right so the number can get bigger

Dividing- move it to the left so the number gets smaller

The number of zeros (0) you have after the one determines how many times you move the decimal point.

100- move the decimal point twice

100000- move the decimal point 5 times

In this case you are multiplying and moving the decimal point to the right once. There is one zero in the number and the problem asks you to multiply.

0.009

= 0.09

You move the decimal point over once.

Hope this helps!!!

Answer: 23.04

Step-by-step explanation:

2.0*2.0= 4.0

2.4*2.4= 5.76

4.0*5.76= 23.04

Answer: The area of the given shape is 9.734 meter square

Step-by-step explanation:

The given shape is a square with 4 sides of equal dimensions "a",

Area of Square = Square of its side "a"

Here, a = Hypotenuse of the inner triangle

Step 1: Get the hypotenuse value of the inner right triangle as the base and height dimensions of the right triangle is given.

Step 2: By using Pythagoras theorem,

Square of the base + Square of the height = square of the Hypotenuse

(2.4)^2 + (2.0)^2 = 9.76

Therefore the value of the hypotenuse = 3.12m

The area of the square = 9.734 meter square.

Answer:

fd

Step-by-step explanation:

spañol

Answer:

The answer might be number b

Answer:

H. is the correct answer.

Step-by-step explanation:

You find range by subtracting the lowest amount from your data by the highest amount. The highest number in Ms. Gambino's class is 12, and the lowest is 5.

\(12-5=7\)  This is the range of Ms. Gambino's class

The highest number in Mr. Joe's class is 10 and the lowest is 5

\(10-5=5\\\) This is the range of Mr. Joe's class.

Therefore, the range in Mr. Joe's class is less than the range of data in Ms. Gambino's class.

Answer:

the answer is $8.29

Step-by-step explanation:

1.60 marked up by 60% in decimal form is .60

multiply that .60 by 1.60 and you get .64

you add .64 to 1.60 and you get 2.56

you multiply 2.56 by 3 and you get 7.68

you have a 8% sales tax so you multiply 0.08 by 7.68

you will get .61 you add that to 7.68 to get $8.29

Answer:

step 3

Step-by-step explanation:

Step-by-step explanation:

(2/3)(-4)(9) = -24

(5/16)(-2)(-4)(-4/5)= -2

(-3/4)(7/8)=-21/32

(2 3/5) (7/9)=91/45

Answer:

this is a biased question

reasons = The statement clearly is against the skate park and says how it's costly and dangerous clearly showing the speaker is against its creation

Answer:

The survey question may be biased as it is leading the respondents to a particular answer. A more balanced survey question would be to ask the respondents if they agree or disagree with the proposal to build an extremely costly and dangerous skate park in the town.

Step-by-step explanation:

The value of A/B is given as follows:

A/B = -2.

From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:

B = -1 -> as x + B = 0 -> x = -B = -1.

When x = 0, y = -2, hence the value of A is obtained as follows:

A/-1 = -2

A = 2.

Then the division is given as follows:

A/B = 2/-1 = -2.

More can be learned about the asymptotes of a function at https://brainly.com/question/1851758

#SPJ1

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

................................................

Answer:

The expression is worth 45 times as much as (10 – 2).

Answer:

Step-by-step explanation: Luke's cone had more icecream

Answer: 3 units (look at the image for the solution)

Step-by-step explanation:

Answer:

109-5h

Step-by-step explanation:

Idek

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

Answer:

3 6/8

Step-by-step explanation:

30÷8=3 6/8

8×3=24

30-24=6

Answer:

The mixed that represents 30/8 is --> 3 3/4

Step-by-step explanation:

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

30/8= 3.75 = 3

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (3) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

30 - (8 x 3) = 6

Step 3: Our mixed fraction

We've now simplified 30/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

3 6/8

Step 4: Simplifying our fraction

In this case, our fraction (6/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 6 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

6/2 = 3

8/2 = 4

When we put that together, we can see that our complete answer is:

3 3/4

Answer:

\(4\frac{27}{56}\)

Step-by-step explanation:

\(-4\frac{3}{8}+8\frac{6}{7} \\\\\frac{-35}{8}+\frac{62}{7} \\\\\frac{-245+496}{56} \\\\\frac{251}{56}\)

Answer:

129°

Step-by-step explanation:

Step-by-step explanation:

soln,

51°+x=180°[exterior angles]

or,x=180°-51°

or,x=129°

•°•x=129°

hope it helps

Answer:

histogram would seeming be the best one please let me know if I got it wrong though

Answer:

Histogram

Step-by-step explanation:

A histogram is a bar graph that shows the frequency DATA values in the INTERVALS.