please use 3.14 for pi and DO NOT ROUND

Answer:

30.68 cm²

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of semicircle

Given,

Height (h) = 4.5 cm

Base (b) = 9 cm

Diameter (d) = 5 cm

Formula

Area of the rectangle = bh

Area of the rectangle

= 9 x 4.5

= 40.5 cm²

Formula

Radius (r) = d/2

r = 5/2

r = 2.5 cm

Formula

Area of the semicircle = πr²/2

Note

The value of π is 3.14

Area of the semicirlce

= (3.14 x 2.5²)/2

= (3.14 x 2.5 x 2.5)/2

= 19.625/2

= 9.8125 cm²

Area of the shaded region

= Area of rectangle - Area of semicircle

= 40.5 - 9.8125

= 30.6875 cm²

~ 30.68 cm² approximately

Answer:

48cm

Step by step:

The area of a trapezoid can be found using the formula A=(1/2)(b1+b2)h, so we replace each variable with what is written on the trapezoid. A=(1/2)(7+9)(6), so once you simplify you get 48.

Answer:

The area of the Trapezium is 48cm².

Step-by-step explanation:

A trapezium has a pair of Parallel Lines.

Let’s mark the line that is on the top as A and the bottom one as B.

Length of line A (Base 1) = 7cm

Length of line B (Base 2) = 9cm

Height of Trapezium = 6cm

Area of Trapezium (Formula) = {( Base 1 + Base 2 ) / 2} * Height

                                                 = {( 7cm + 9cm ) / 2} * 6cm

                                                 = ( 16cm / 2 ) * 6cm

                                                 = 8 cm * 6cm

                                                 = 48cm²

The area of the Trapezium is 48cm².

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer: x=108 degrees

Step-by-step explanation:

Since ST is a straight line, it measures 180 degrees.

This means that

x+(2/3)x=18

The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.

Answer:

x=108 degrees

Step-by-step explanation:

We know that since ST is a line, it equals a total of 180 degrees.

Let's write an equation:

[tex]180=x+\frac{2}{3}x[/tex]

simplify

[tex]180=\frac{5}{3} x[/tex]

divide both sides by 5/3

108=x

So, x=108 degrees.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

Answer: 3,380

Step-by-step explanation: THIS IS MY GUESS.

Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.

Answer:100% of the buttons were large.

she got 400 buttons

400 were large

400/400 as a percent is 100%

Step-by-step explanation:

Explanation she got 400 buttons

400 were large

400/400 as a percent is 100%

Answer:

Q1: D

Q2: D

Q3: B

Step-by-step explanation:

Q1: It says it in the question.

Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.

Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.

Answer: 7/16

Step-by-step explanation:

Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.

Step-by-step explanation:

Slope intercept form of a line is

y = mx + b      where    m = slope    b = intercept

1)   y = 2x + 4

3) y = -3/4 x  + 0   = - 3/4 x

I think you can see how to do the other two now......

Answer: 40 inches squared

Labels are in the pictures

Step-by-step explanation:

To find the surface area, find the area of each side.

Square (base) : side * side = 4*4 = 16

Triangle (sides) : (base * height)/2

Assuming each side is a isosceles triangle, the base 4/2 = 2

(2*6)/2 = 12/2 = 6

Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.

6*4 + 16 = 24+16 = 40

Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.

Step-by-step explanation:

Answer:

3 1/3

Step-by-step explanation:

       See attachment below

Answer:

Option (A) 3 1/3

Step-by-step explanation:

Let’s solve the improper fraction into a mixed fraction.

The simplified fraction will get a remainder but we I’ll not solve the remainder.

50/15

Quotient = 3

Remainder = 5

Fraction = 3 5/15

               = 3 1/3

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

I think its the second one, 4 2 = 16. If not then the third one.. I hope this helps!

Answer:

[tex]5x^3-18x^2+2x+21[/tex]

Step-by-step explanation:

In the second step, -9x-21 should be 9x+21. This is because -3 in x-3, and -3x-7 in 5x²-3x-7 are both negative, so each term's product should be positive.

Also, in the third line, she wrote -3x²-15x² as -18x⁴ instead of -18x²,and similarly, she wrote -7x-9x as -16x² (however this is wrong anyway because step 2 was done incorrectly).

If we continued off from the second step with these corrected errors:

[tex]5x^3-3x^2-7x-15x^2+9x+21\\5x^3-18x^2+2x+21[/tex]

Therefore, the correct simplification is [tex]5x^3-18x^2+2x+21[/tex].

Answer:

5x^3-18^2 +2x +21

Step-by-step explanation:

Answer:

Step-by-step explanation:

probability you roll a one is 1/6

probability you roll an 8 is 0/6

add them and the answer is 1/6

Answer:

1/2

Step-by-step explanation:

If the fraction of the box of pancake mix that Merida uses on Friday is not given, it is difficult to determine the exact fraction that she used on Saturday. However, if we assume that the fraction of the box of pancake mix used on Friday is 1/2 (which is a common amount for a recipe that serves 4-6 people), then we can solve for the fraction used on Saturday.

On Friday, Merida used 1/2 of the box of pancake mix.

On Saturday, she used 1 times as much pancake mix as Friday, or 1/2 * 1 = 1/2 of the box of pancake mix.

Therefore, Merida used 1/2 of the box of pancake mix on Saturday.

Note that if the fraction used on Friday is different, the fraction used on Saturday will also be different.

Answer:

45

70

36

52

20

130

Step-by-step explanation:

complementary means it adds up to 90 degrees.

subtract that angle from 90 to get the complementary angle

supplementary angles add up to 180 degrees

subtract that angle from 180 to get the supplementary angle

Answer:

1) 45

2) 60

3) 36

4) 52

5) 20

6) 130

Step-by-step explanation:

In the first 3 questions, it's asking us for a complementary angle to the given angle.  A complementary angle is when 2 angles add up to 90 degrees.  So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45.  Continue to subtract from 90 for the next 2 problems.

In questions 4-6, we are asked to find an angle that is supplementary.  A supplementary angle is when 2 angles add up to 180 degrees.  We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees.  Continue subtracting from 180 for the next 2 problems.

Hope this helps! :)

Answer:

B. 6 over 36

Step-by-step explanation:

As we are given the sample space, the events that sum to 6 are:

{(1,5), (2,4), (3,3),(4,2),(5,1)}

Let n(S) be the number of items in sample space

n(S) = 36

Let E be the event the sum is 6

Then,

n(E) = 6

So,

P(Sum of two cubes is 6) = n(E) / n(S)

= 6/36

So, the correct answer is:

B: 6/36

Answer:

B. 6 over 36

Step-by-step explanation:

The number which describes the median of the data given in the table is 23. option B.

The number which describes the range of the data given in the table is 6. Option A.

Arrange the average gas mileage in ascending order

22, 22, 23, 26, 28

The median of a data refers to the middle number of the data set when arranged either in ascending order or descending order.

The median is 23

Hence, the range of the data set refers to the difference between the highest and lowest data.

= 28 - 22

= 6

Read more on median and range:

https://brainly.com/question/13278246

#SPJ1

Answer:

6.9 if a triangle pyramid

Step-by-step explanation:

If triangle pyramid,

1/3(b)(h)

1/3(200)(h)=460

h=6.9

Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.

___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.

Answer:

The correct answer is 7

Answer:

8 triangles

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

It is the middle point/dot

in the box with the line

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Step-by-step explanation:

SA=2B+Ph

Find the area of each face. Add up all areas.

Answer:

Step-by-step explanation:

Hi there,

We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.

White socks: 2 pairs x 2 = 4 total white socks

Black socks: 4 pairs x 2 = 8 total black socks

Blue socks: 1 pair x 2 = 2 total blue socks.

Now, you add up the total amount of individual socks in the drawer.

4+8+2 = 14 socks.

We are trying the find the probability that he is going to pick a black sock.  The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.

8 black socks  /  14 total socks

Now that we have this fraction, we need to simplify it.  The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).

What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.

I hope this helps, let me know if you have questions :)

Answer: A

Step-by-step explanation:

If you graph the difference, it is 4 inches since you are looking at the middle of the graph

Answer:

y=(x-2)^2 +4

y=1/4 x^2 +x-1