HELP PLEASE! What is the base area of the following cylinder

Answer:

1. D. 20, 30, and 50

2. A. 86

3. B. 94

Step-by-step explanation:

1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.

The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.

Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.

Thus:

Q1 = (85 + 87)/2 = 86

Q3 = (93 + 95)/2 = 94

IQR = Q3 - Q1 = 94 - 86

IQR = 8

Outliers in the data set are data values below the lower limit or above the upper limit.

Let's find the lower and upper limit.

Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74

The data values below the lower limit (74) are 20, 30, and 50

Let's see if we have any data value above the upper limit.

Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106

No data value is above 106.

Therefore, the only outliers of the data set are:

D. 20, 30, and 50

2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.

Thus:

Q1 = (85 + 87)/2 = 86

3. Q3 = (93 + 95)/2 = 94

The volume of pyramid A is 20 cubic inches.

Given that:

Height of pyramid of A and B are 6 and 15 inches, respectively.

Since square pyramid A and square pyramid B are similar, their corresponding sides are proportional.

Let the volume of pyramid A be V and the scale factor between the two pyramids be k.

The volume of a pyramid is given by V = (1/3) × base area × height.

Since the base of pyramid B is k times the base of pyramid A, and the height of pyramid B is also k times the height of pyramid A, we can set up the following relationship:

V(B) = k³ × V(A)

Given that the height of pyramid A is 6 inches and the height of pyramid B is 15 inches, we can calculate the scale factor k as follows:

k = height of B / height of A = 15 / 6 = 2.5

Now, we know the scale factor k, and we are given the volume of pyramid B as 312.5 cubic inches. We can find the volume of pyramid A:

V(B) = k³ × V(A)

312.5 = 2.5³ × V(A)

312.5 = 15.625 × V(A)

Now, solve for V(A):

V(A) = 312.5 / 15.625

V(A) = 20

The volume of pyramid A is 20 cubic inches.

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Answer:

The numbers can be -4, -3, -2, -1, and 1

Answer:

do you have any pictures?

Step-by-step explanation:

Answer:

D : M : N

3 : 6 : 4

4M-M= 4(6)-6= 24-6= 18

M+2N= 6+2(4)= 6+8= 14

In the given triangle value of [tex]x= 73.4[/tex] units and [tex]y= 46.2[/tex] units ( round to nearest tenth)

" Triangle is defined as the two dimensional geometrical shape with three vertices, three sides and three angles enclosed in it."

Formula used

Pythagoras theorem

(Hypotenuse)² = (adjacent side)² + (perpendicular side)²

[tex]tan\theta = \frac{perpendicular side}{adjacent side}[/tex]

According to the question,

In the given triangle,

Hypotenuse [tex]= x[/tex]

Perpendicular side [tex]= y[/tex]

Adjacent side [tex]= 57[/tex]

Value of [tex]\theta = 39[/tex]

Substitute the value of the given triangle in the formula to get the missing values,

[tex]tan 39\°= \frac{y}{57} \\\\\implies 0.8098 = \frac{y}{57}\\\\\implies y = 57 \times 0.8098\\\\\implies y = 46.1586[/tex]

[tex]\implies y= 46.2[/tex] units (round to nearest tenth)

Substitute the value in the Pythagoras theorem we get,

[tex]x^{2} = (46.2)^{2} +(57)^{2} \\\\\implies x^{2} = 2134.44 + 3249\\\\\implies x = \sqrt{5383.44} \\\\\implies x = 73.37[/tex]

[tex]\implies x = 73.4[/tex] units (round to nearest tenth)

Hence, In the given triangle value of [tex]x= 73.4[/tex] units and [tex]y= 46.2[/tex] units ( round to nearest tenth)

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Answer:

given;

inscribed angle =35°

central angle=35×2=70°

radius [r]=10in

area of shaded region=70°/360×πr²

=70°/360×π×10²=159π/9 in²

Answer:

Mean - 89

Median - 90.5

Mode - 89 or 92

Q1 - 84.5

Q3 - 96.5

IQR - 12

Step-by-step explanation:

A mean is an average. Just add all numbers then divide by how many numbers there are.

A median is a middle. Just arrange the numbers from smallest to largest and locate the middle value.

A mode is the number that appears most often. Count how many of each number there is.

Q1 is the middle of the lower half of the data.

Q3 is the middle of the upper half of the data.

IQR is the difference between Q3 and Q1. (subtract)

Answer:

she travels H/3 miles in 1 hour.

Step-by-step explanation:

Heather drove at a constant rate she traveled 162 miles in 3 hours how far did Heather travel in 1 hour

suppose that Heather drove H miles in 3 hours. Then her constant rate (speed) was H/3. That's H/3 mph. So, she travels H/3 miles in 1 hour.

Answer:

D

Step-by-step explanation:

The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.

First find the measure of the angles in the triangle.

The sum of the 3 angles = 180° then

5x + 40 + 10x + 7x + 8 = 180

22x + 48 = 180 ( subtract 48 from both sides )

22x = 132 ( divide both sides by 22 )

x = 6

Then

∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°

∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°

∠ C = 10x = 10(6) = 60°

The shortest side is opposite ∠ A , that is BC

The longest side is opposite ∠ B , that is AC

The sides in order from shortest to longest are

BC, AB, AC → D

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + 6

Parallel slope = 3

(-2, 3)

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 3(x + 2)

y - 3 = 3x + 6

y = 3x + 9

Answer:

3

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

It's J

Step-by-step explanation:

Answer:

failure is a step towards success!!

don't get urself drowned,,,,just get over it❤️

Answer:

C

Step-by-step explanation:

∠ SVW = ∠ TWX = 84° ( corresponding angles are congruent )

∠ UVY = ∠ SVW = 84° ( vertical angles are congruent )

Answer:

-13, 5

Step-by-step explanation:

See image below:)

Answer:

[tex]k = 3[/tex]

Step-by-step explanation:

A function must put in a input to get that exact output.

This means that if we for example, put 8 in the function we must get out 2.

If we put in 3, we cant get 4 so

k=3 is the answer.

Answer:

Audrey bought 7 yards.

Step-by-step explanation:

Just add 4+2+1 because those are what colors she bought, but all together she bought 7 yards of all colors.

Answer:

120 cubic cm

Step-by-step explanation:

The Volume of a Triangular Prism = [tex]1/2Bh[/tex], where B = height x length of triangle, divided by 2 (because that's how we find the area of a triangle).

So the height of the triangle is 4 cm, and the length is 6 cm; 6 x 4 = 24, divided by 2 is = 12 cm.

Then the other H, the height of the triangular prism, is = 10 cm, and 12 x 10 is equal to 120 cm ^3.

Answer:

The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.

Hope this helps!!!!!!!!

Answer:

leg = 1

hypotenuse = √2 or 1.41

Step-by-step explanation:

Answer:

At most he can run 6 laps

Step-by-step explanation:

24/4=6

Answer:

6 laps

Step-by-step explanation:

24 / 4 = 6 laps

Answer:

Hope this helped :)

Step-by-step explanation:

For the first question, the answer is B.

For the second question, the answer is D.

The first question was tricky for me, so sorry if I got it wrong.

Answer:

What I got for my answer for one of the cylinders is 502.65

I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^

Answer:

ill give my honest opinion i dont know

Step-by-step explanation:

Answer:

please mark me

length of the diagonal is 14 feet good luck

Step-by-step explanation:

Answer:

[tex](16\div8)+24[/tex]

Step-by-step explanation:

The quotient of 16 and 8 is [tex]16\div8[/tex]. Adding 24 to this value results in [tex](16\div8)+24[/tex].

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation: