Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3. 8 units. Side A prime B prime is 15 units and side B prime C prime is 9. 5 units. What is AB? 6 units 7. 6 units 9. 5 units 12 units.

The value of the shaded area is approximately 34.907 square centimeters.

According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector ([tex]A[/tex]), in square centimeters:

[tex]A = \frac{\theta\cdot \pi \cdot R^{2}}{360}[/tex] (1)

Where:

If we know that [tex]\theta = 40^{\circ}[/tex] and [tex]R = 10\,cm[/tex], then the area of the circle is:

[tex]A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}[/tex]

[tex]A\approx 34.907\,cm^{2}[/tex]

The value of the shaded area is approximately 34.907 square centimeters. [tex]\blacksquare[/tex]

To learn more on areas, we kindly invite to check this verified question: https://brainly.com/question/16151549

Answer:X=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

Now, we know that:

Now, we solve:

Each friend will get 1/6 pounds of candy.

Answer:

there are 276 guests

Step-by-step explanation:

add dem all up = 276

Answer:

-6

Step-by-step explanation:

21/7+3(-3)

=3-9

=-6

hope it helps!

have a great day/night ahead ┐( ˘_˘)┌

Answer:

Natalie has 4 apples left

Step-by-step explanation:

one bag is 8 apples and only has 4 left so it cant fill another bag let alone 4, so a is out. Natalie has 4 apples, not 4 bags, so there goes B. The only one left is C Natalie has  apples left after filling 51 bags.

Answer:

120 security person

Step-by-step explanation:

the ratio is 1:170 so for every 170 people there is one security guard. So you take the number of people attending 20400 and divide by your ratio which is 170.

20400/170 = 120

Answer:

x = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 6[tex]\sqrt{2}[/tex]

Answer:

1 and 5

4 and 8

2 and 6

3 and 7

Step-by-step explanation:

Anyone can obviously tell they are not parallel at all so I'm not sure why they say to assume.

According to a website, corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal. Therefore, the following are corresponding angles:

1 and 5

4 and 8

2 and 6

3 and 7

Angles are the space between intersecting lines, and they are measured in degrees or radians

The measure of angle ABC is y + x

The given parameters are:

ABD=y,

DBC=x,

EFH=y,

EFG=x

PQS = SQR = x

To determine the measure of angle ABC, we make use of angle ABD and angle DBC

Note that angle ABD and angle DBC have common vertices at points B and D

So, we have:

ABC = ABD + DBC

Substitute known values

ABC = y + x

Hence, the measure of angle ABC is y + x

Read more about angle measures at:

https://brainly.com/question/17972372

Answer:

[tex]\implies V=\pi r^2(h-4 r)[/tex]

Step-by-step explanation:

Volume of the canister LESS the volume of 3 tennis balls:

[tex]V=\pi r^2h-3\left(\dfrac43\pi r^3\right)[/tex]

Expand brackets:

[tex]\implies V=\pi r^2h-4\pi r^3[/tex]

Factor:

[tex]\implies V=\pi r^2(h-4 r)[/tex]

Canister is a cylinder

[tex]\\ \rm\rightarrowtail V=\pi r^2h-3(\dfrac{4}{3}\pi r^3)[/tex]

[tex]\\ \rm\rightarrowtail V=\pi r^2h-\dfrac{12}{3}\pi r^3[/tex]

[tex]\\ \rm\rightarrowtail V=\pi r^2h-4\pi r^3[/tex]

[tex]\\ \rm\rightarrowtail V=\pi r^2(h-4r)[/tex]

The factors of the specified polynomial by the grouping the polynomial and taking out GCF is,

[tex](4x+5)(5x-3)[/tex]

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial expression in the problem is,

[tex]20x^2+25x-12x-15[/tex]

Factor the above polynomial by grouping as,

[tex](20x^2+25x)+(-12x-15)[/tex]

Factor the greatest common factor (GCF) from each group as,

[tex]5x(4x+5)-3(4x+5)\\[/tex]

Write the polynomial as a product of binomials as,

[tex]5x(4x+5)-3(4x+5)\\(4x+5)(5x-3)[/tex]

The above polynomial is written as a product of binomials.

Hence, the factors of the specified polynomial by the grouping the polynomial and taking out GCF is,

[tex](4x+5)(5x-3)[/tex]

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

its 4 and 5 in the blank spots :)

Step-by-step explanation:

Total volume is 45 unit³

We have given that the composite figure consists of two rectangular pyramids.

Suppose they are joined together to form the given figure, stacked to each other on their base.

[tex]Volume of pyramid=\frac{L\times w\times h}{3}[/tex]

Bye using the formula we get

[tex]=\frac{9\times 1.5\times 5}{3}\\ =\frac{45}{2}[/tex]

now, Since there are two pyramids in the figure on same base and height,

their volume will be equal

So area of composite figure

[tex]=\frac{45}{2}\times2[/tex]

Therefore, the volume of the given figure = 45 units³

To learn more about the volume of the pyramid visit:

https://brainly.com/question/218706

Answer:

C=15

Step-by-step explanation:

Equation: (7c-7)+(6c-8)=180

180 because a STRAIGHT LINE is 180degrees

Then you do 'math'

(7c+6c)-15=180

13c=195

c=15

Answer:

2 and 8

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Line A has a slope of 2 and the line in the question also has a slope of 2.

Lines with the same slope are parallel.

Parallel lines never intersect.

Hope this helps!

Answer:

see below

Step-by-step explanation:

Formula: [tex]speed=\frac{distance}{time}[/tex]

In Problem 1, the question is asking the rate of the vehicle in Trip A. This can be  interpreted as miles per hour; basically finding the speed.

Using the formula:

[tex]7,794[/tex] ÷ [tex]18[/tex] = [tex]433 mi/h[/tex]

Both values were plugged in and then divided, which narrowed it down to the final value/answer.

The rate of the vehicle was 433 miles per hour.

In Problem 2, the question is asking us the time traveled in Trip B. Basically the amount of time it took.

Once more using the formula, * This indicates DIVISION*

time = 7.2 hours

= 7.2 h

= 07:12:00

= 7 hours, 12 minutes, 0 seconds

The total time traveled in Trip B was 7 hours and 12 minutes.

In Problem 3, the question is asking the distance traveled in Trip C.

Using the formula one last time,

distance = 96 miles

= 96 mi

How I got this was through multiplication.

12 * 8 = 96.

Therefore, the distance traveled in Trip C was 96 miles.

Answer:

See below ↓↓↓

Step-by-step explanation:

(a)

(b)

(c)

The volume of the scoop of ice cream is 113.14 cm³.

The height of the cone that would keep the ice cream from spilling is 12cm.

Volume of a sphere = 4/3 x pi x r^3

4/3 x (3^3) x 22/7 = 113.14 cm³

Volume of the ice cream / 1/3(nr^2)

113.14 / (1/3 x 22/7 x 3^3) = 12 cm

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

The least number of seashells Jane collected is 56 seashells.

An inequality is an expression used to show the relationship between two or more variables and numbers.

Let j represent the number of seashells collected by Jane and t represent that of Tom, hence:

j > 2t + 8

For 24 seashells collected by Tom:

j > 2(24) + 8

j > 56

The least number of seashells Jane collected is 56 seashells.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

Id rather be related to a celebrity. I would choose prob Milly Bobby Brown (Eleven from Stranger Things) Lol

Step-by-step explanation:

Rlly made my day have a wonderful day too<33

(Its 4 lol)

Answer:

42 + 8m = 36 + 10m

-10m             -10m

42 - 2m = 36

-42          -42

-2m = -6

/-2      /-2

m = 3, 3 months

Functions can be represented using equations and graphs

The function that represents the magnitude of an earthquake, R, is [tex]r = \log(0.25a) + 2[/tex]

The equation of the function is given as:

[tex]r = \log(a/t) + d[/tex]

From the question, we have the following parameters

t = 4 seconds

D =2

So, the function becomes

[tex]r = \log(a/4) + 2[/tex]

Divide a by 4

[tex]r = \log(0.25a) + 2[/tex]

Next, we plot the graph of the function (see attachment)

Read more about graphs and functions at:

https://brainly.com/question/14323743

Answer:

WAHAHAH It's the second graph

Step-by-step explanation:

(B) na im sayin

Answer: The base is 5 units and the height is 9 units.

Step-by-step explanation:

Find the distance between each point:

Base can be calculated as the distance from A to B: Since y-coordinates are the same, subtract the x-coordinates: | - 4 - 1 | = 5

Height can be calculated as the distance from B to C: Since x-coordinates are the same, subtract the y-coordinates: | 8 - (-1) | = 9

Remember its distance, and that can't be negative, so take the absolute value of the results

Answer:

I53 $

Step-by-step explanation:

So, now we can set up the proportion:

5.5             x

--------     =   ------

100              120

We need to find the value of x.

120 × 5.5 = 660

660 ÷ 100 = 6.6

So, now we know 6.6 is the amount Michael gets every year for interest.

Let's multiply that over 5 years.

5 × 6.6 = 33.

So, in total interest, Michael got 33$ in 5 years. Let's add that amount to the amount he originally added to into his savings account.

33 + 120 = 153.

Therefore, 153 will be the answer.

-kiniwih426