5. Determine the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Preimage
Image

A. R90°

B. R270°

C. R-270°

D. R-180°

Answer:

Step-by-step explanation:

The volume of cone formula:

Substitute te given values into the formula and solve for r:

Answer:

10 cm

Step-by-step explanation:

Volume of a cone

  [tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]

where:

Given information:

To find the length of the radius, substitute the given values into the formula and solve for r:

[tex]\begin{aligned}\sf V& = \sf \dfrac{1}{3} \pi r^2 h\\\\\implies \sf 400 \pi & = \sf \dfrac{1}{3} \pi r^2(12)\\\\ \sf 400 \pi & = \sf \dfrac{12}{3} \pi r^2\\\\ \sf 400 \pi & = \sf 4\pi r^2\\\\ \sf \dfrac{400 \pi}{4 \pi} & = \sf r^2\\\\ \sf r^2 & = \sf 100 \\\\ \sf \sqrt{r^2} & = \sf \sqrt{100}\\\\ \sf r & = \sf 10\end{aligned}[/tex]

Therefore, the length of the radius of the cone is 10 cm.

Learn more about cones here:

https://brainly.com/question/27845349

https://brainly.com/question/27825174

Answer:

Step-by-step explanation:

∠ABD is the complementary angle to ∠BDC.

Two angles are complementary when they add up to 90°

Each partner's share given a first-year net income of $102,800 is $-3,300.

Each partner's share given a first-year net loss of $20,800 is $-44,300.

Partner' share = net income / loss - interest - salary salary allowance

Interest = ($64000 x 10%) + ($94000x 10%) = $15,800

Salary = $52,000 + $41,600 = $93,600

Share of net income = [$102,800 - (15,800 + 93600)] / 2  = $-3,300

Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]

a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

In this case, we say that the roots are imaginary.

Learn more about quadratic equations;

brainly.com/question/13197897

An individual will want small remote valve and a large valve close to the cylinder in order to build the pressure.

It should be noted that pressure simply means the measure of the force that's applied over a unit area.

In this case, an individual will want small remote valve and a large valve close to the cylinder in order to build the pressure between each valve and also create more pressure for the cylinder.

Learn more about pressure on:

https://brainly.com/question/25736513

Their sum of ages is 45

So

Therefore

Step-by-step explanation:

let the tala's age be x and nabil's be y

x+y=45(equation 1)

x=y+27

x-y=27(equation 2)

solving 1 and 2 equation

x+y=45

x-y=27

______

2x=18

x=9

therefore the talas age is 9

putting the value of x in equarion 1

9+y=45

y=45-9

y=36

Answer:

the answer is 1.258

Answer:

1.258

Step-by-step explanation:

Answer:

50²

Step-by-step explanation:

(2×10⁵) ÷ (4×10²)

2 × 100000 ÷ 4 × 100

200000 ÷ 400

= 500

= 50²

The yearly salary after paying for taxes, insurances and other expenses is  r808.42.

The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:

1/2 + 1/16 + 5/6

(48 + 6 + 80) / 96 = 134 / 96=  1 19/48

Now subtract 1 19/48 from 1

1 19/48 - 1 = 19/48

Finally, divide 19/48 by 320

320 x 48/19 = r808.42

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

C(x)=0.25x+14.75

=C(40)=0.25x+14.75

=40c=0.25(40) + 14.75

=40c=10+14.75

=40c=24.75

Answer:

  6.2 units

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591

__

The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106

The length of the side marked x is about 6.2 units.

Answer:

There are 33 nuts in the bag, to 21 dried fruits.

Total number of dried fruits is 21, while the total number of nuts is 33.

Step-by-step explanation:

A number line is a representation of a graded straight line. The number √128  will lie between 11.3 and 11.4.

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.

In order to know the location of the √128, we need to write the number  √128 in decimal form, therefore, the value of √128 can be written as,

[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]

Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.

Hence, the number √128  will lie between 11.3 and 11.4.

Learn more about Number Line:

https://brainly.com/question/557284

Answer:

there are no statements...

Answer:

X²-8x+308

Step-by-step explanation:

two negative integers -x and -x= +x²

8units apart=-8x

all equals 308

X²-8x=308

bring everything to the LHS

X²-8x-308=0

So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different

Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps

For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340

Since we're decreasing, subtract 2,340 from the original cost

18,000-2,340=$15,660

Same process for the second option

14%*22,000=3,080

22,000-3,080=$18,920

If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

      0.5 |x – 4| = 10

            |x – 4| = 20

             x – 4 = ±20

For positive signs, we have

x – 4 = 20

      x = 24

For negative signs, we have

x – 4 = –20

     x = –16

More about the function link is given below.

https://brainly.com/question/5245372

Answer: I assume you want an equation so thats what ill do.

y = x(0.975)

Total Amount on principal 7000dollars  at the rate of interest 3%  for time period 7years is equals to $8470.

" Simple interest is a method of calculating interest on the amount of money deposited for fixed period on fixed rate of interest."

Formula used

[tex]Amount = P ( 1+ rt) \\P= Principal\\r= Rate of interest\\t= time period[/tex]

According to the question,

Given,

Principal 'P' = $7000

Rate of interest 'r'= 3%

Time period 't' = 7years

Substitute the value in the formula to get total amount with interest,

[tex]Amount = 7000 [ 1+ (\frac{3}{100} )(7)][/tex]

             [tex]=7000[ 1+ (0.03)(7)]\\=7000(1.21)\\=8470 dollars[/tex]

Hence, the total Amount on principal 7000dollars  at the rate of interest 3%  for time period 7years is equals to $8470.

Learn more about simple interest here

https://brainly.com/question/22621039

#SPJ2

Answer:

1884

Step-by-step explanation:

square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884

Please mark as brainliest

Step-by-step explanation:

(3,3)====(3,-3)

(3,2)====(2,-3)

(5,2)====(2,-5)

Answer:

Q1. 95 degrees  

Q2. 100 degrees

Step-by-step explanation:

When you create a triangle, all angle measures must equal 180 degrees.

So, using that information, take 180 and subtract both of the other values.

180 - 25 = 155

155 - 60 = 95

When two angles are supplementary, the sum of their angle measures equal 180, or a straight angle.

Using that information, take 180 and subtract 80.

180 - 80 = 100

The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]

Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]

It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3

This was very messy, I apologize if I did make any mistakes.

Answer:

period = 2π

Step-by-step explanation:

the period is the distance from one point on the waveform to the corresponding point on the next wave.

there is a maximum at 2π and a corresponding maximum at 4π

period = 4π - 2π = 2π

Answer:

The answer is t < -3

Step-by-step explanation:

t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3

Answer:

24.62°

Step-by-step explanation:

sin^-1 (5/12)

=24.62

Answer:

24.62°

Step-by-step explanation:

sin^-1(5÷12) = 24.62°

(if you are allowed to use calculator)

Answer:109.8 inches

Step-by-step explanation:

Answer:

False

Explanation:

sin t can never be greater than 1 or less than -1