Given: ABC is a right triangle
Prove: A^2 + b^2 =c^2

A = addition property of equality
B = Pythagorean theorem
C = Pieces of right triangles similarity theorem
D = cross product property

Answer:

B

Step-by-step explanation:

yes, the angles are the same.

and the scale factor is

NS / GA = 15/12 = 5/4

Answer: x=-2

Step-by-step explanation:

Isolate the variables + divide each side.

Answer:

x2−2x−8

Step-by-step explanation:

The longer side of the triangle is 17√3 yd. Therefore, option D is the correct answer.

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

Given that, the length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long.

Let the longer side of the triangle be x.

We know that, tanθ = Opposite/Adjacent

tan60° = x/17

√3=x/17

x=17√3 yd.

Therefore, option D is the correct answer.

Learn more about the trigonometric angles visit:

brainly.com/question/24174128.

#SPJ2

The values of y when x=5.7 will be 5. In the graphs, the function is represented as y=⌊x⌋

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

In the graphs the function y=⌊x⌋

The value of the y obtaining will be the whole number of the left axis of the integers.5 is the nearest whole number to the 5.7.

The given value of the function is ;

y = [ 5.7 ] = 5

Hence the value of the y is 5.

To learn more about the graph refer to the link;

https://brainly.com/question/14375099

Answer:

Step-by-step explanation:

The representation, in polar coordinates, of the point (1 , 5pi/6) is (-1, 11pi/6).

It should be noted that polar coordinate simply means a coordinate system where the point on the plane is determined by a distance and reference point.

In this case, the representation, in polar coordinates, of the point (1 , 5pi/6) is (-1, 11pi/6). When graphing the polar coordinate, the pole should be moved in a direction opposite the given positive angle.

Learn more about polar coordinate on:

https://brainly.com/question/14965899

#SPJ1

Answer:

-1

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

Answer:

9 is A 10 is D

not sure of the other two

Step-by-step explanation:

9 increases by 4 every time

10 increases by 7 every time

Answer:

9. A

10. D

11. D

12. A

Step-by-step explanation:

9. Look at the pattern; 6+4=10, 10+4=14, 14+4=18, 18+4=22.

10. Same thing for number nine.

11 & 12. Its just vocab

Answer:it would be 2:22

Step-by-step explanation:

If there’s 25 minutes till 10 so therefore it would be 9:35 and since it’s 9:35 four hours and 51 minutes from then would be 2:22 because the minutes would add up to 82 minutes and four hours so your answers to 2:22

Step-by-step explanation:

2x + 4y = 36

2 × 4 + 4y = 36

8 + 4y = 36

4y = 36 - 8

4y = 28

y = 28 ÷ 4

y = 7

Answer:

[tex] \red{ \rule{1pt}{500000pt}}[/tex] [tex] \red{ \rule{1pt}{500000pt}}[/tex]

Step-by-step explanation:

The multiplication shows that the total steps for the ramp will be 28 inches.

From the information given, the school has 4 steps to the front door and each step is 7 inches tall.

In this case, the total steps of the ramp will be gotten by multiplying the values. This will be:

= 4 × 7 = 28 inches.

Learn more about multiplication on:

https://brainly.com/question/10873737

Step-by-step explanation:

2/7= 2*2*2/7*7*7

=8/343

The volume ratio is given as;

⇒ 8 : 243

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Side ratio is,

⇒ 2 : 7

Hence, The volume ratio is given as;

⇒ 2³ / 7³

⇒ 2×2×2 / 7×7×7

⇒ 8 / 243

⇒ 8 : 243

Thus, The volume ratio is given as;

⇒ 8 : 243

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

The complex number z = 4(cos(5pi/6) + isin(5pi/6)) is given as z = -3.464 + 2i in standard form

Complex numbers are the numbers which is in the form of:

a + ib where, a,b are real numbers and 'i' is an imaginary number.

The complex number can also be represented in polar form as:

z = r(cosФ + isinФ)

Given the complex number:

z=4(cos(5pi/6) + isin(5pi/6)), hence converting to standard form gives:

z = -3.464 + 2i

The complex number z = 4(cos(5pi/6) + isin(5pi/6)) is given as z = -3.464 + 2i in standard form

Find out more on complex number at: https://brainly.com/question/10662770

Answer:

-2 square root 3 + 2i

Step-by-step explanation:

Answer:

The answer is 8 11/20. Can I have brainliest?

Step-by-step explanation:

The loan option that would allow Charles to pay the LEAST in interest is option A.

Compound Interest is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

[tex]A=P(1+r\%)^n[/tex]

where A is the value after t period of time, P is the principal amount, and,

r is the rate of interest.

A.) Principle amount = $10,000

Time Period of loan = 2 years

Rate of Interest = 4.75% per annum

Now, the total amount can be written as

[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.0475)^2\\\\= \$10,972.56[/tex]

The interest will be = $10,972.56 - $10,000 = $972.56

B.)  Principle amount = $10,000

Time Period of loan = 3 years

Rate of Interest = 4.00% per annum

Now, the total amount can be written as

[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.04)^2\\\\= \$11,248.64[/tex]

The interest will be = $11,248.64 - $10,000 = $1,248.64

C.) Principle amount = $10,000

Time Period of loan = 4 years

Rate of Interest = 3.75% per annum

Now, the total amount can be written as

[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.0375)^2\\\\= \$11,586.5[/tex]

The interest will be = $11,586.5- $10,000 = $1,586.5

D.) Principle amount = $10,000

Time Period of loan = 5 years

Rate of Interest = 3.00% per annum

Now, the total amount can be written as

[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.03)^5\\\\= \$11,592.74[/tex]

The interest will be = $11,592.74 - $10,000 = $1,592.74

Hence, the loan option that would allow Charles to pay the LEAST in interest is option A.

Learn more about Compound Interest:

https://brainly.com/question/14295570

#SPJ1

Answer:

the answer 192(If Multiplied)

25% of $175 is $42.5

$212.5 divided by $42.5 is 5.

It will take her 5 weeks

Answer:

5 weeks

Step-by-step explanation:

First we must turn the percentage into a decimal :)

170 x 0.25 = 42.50

Now we divide :)

212.5/42.50 = 5

She will take 5 weeks :)

Have an amazing day!!

Please rate and mark brainliest!!

The sum of two polynomials is 8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9

2d^5 - c^3d^2 +8cd^4 +1 would be 6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

Given that

[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex]

Now

if one is added i.e.

[tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]

Now let us assume the other polynomial be x

So,

[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] = x + [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]

x = [tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] - ( [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex])

x = [tex]6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8[/tex]

Learn more about polynomials;

https://brainly.com/question/12982338

The number of the years is 5 which is taken by Jorge to pay off the loan. Then the correct option is C.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The table shows a schedule of Jorge’s payment plan for a car.

Jorge’s payment plan year balance monthly payment end of year balance.

The price of the car is $15,469.80

The monthly payment will be $257.83

Then the number of the years taken by the Jorge to pay off the loan will be

[tex]\rm \rightarrow \dfrac{15469.8}{257.83} \\\\\rightarrow 60 \ months \\\\\rightarrow 5 \ years[/tex]

More about the division link is given below.

https://brainly.com/question/369266

Answer:

The correct option is C  

Step-by-step explanation:

I took the unit test just 5 min ago god bless

#Chalnge share the favor who ever sees this find a question and answer it and say what this says

God loves you all no matter what you do just ask for forgiveness

God really loves us all

The headings of a résumé should be capitalized and bold formatted so that they are clear and easy to find.

Headlines are the main topic or the highlighted part of any paragraph which indicates the nature of the article.

The headings of a résumé should be formatted so that they are clear and easy to find.

The headings indicate the nature of the article so it should be highlighted or different from the summary.

The heading must be capitalized and bold which makes the text different from the summary.

Learn more about headlines;

https://brainly.com/question/27224369

Answer:

B. EDG 2023

Step-by-step explanation:

Just took practice

Step-by-step explanation:

As it is given that, a cylinder has a height of 15 yards and the volume of the cylinder is 15,260.4 cubic yards and we are here to find the radius of the cylinder.

[tex] \: [/tex]

We know that,

[tex]{ \longrightarrow\qquad{\frak {\pmb{ \pi {r}^{2}h = Volume_{(cylinder) } }}}} \\ \\[/tex]

Where,

[tex] \: [/tex]

Now, we will substitute the given values in the formula :

[tex] \: [/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{ 3.14 \times {r}^{2} \times 15 = 15260.4 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \times 47.1 = 15260.4 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} = \dfrac{15260.4}{47.1} }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \ = 324 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{ r = \sqrt{324} }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{ \underline{ \boxed{\pmb {\frak{ r = 18 } }}}}} \: \: \: \bigstar\\ \\[/tex]

[tex] \: [/tex]

Therefore,

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Here we are given height and volume of the cylinder. To find the radius of the cylinder We will substitute the value of height and volume in give formula:

Volume of cylinder = πr²h

➝ 15,260.4 = 22/7 × (r)² × 15

➝ 15,260.4 = (r)² × 330/7

➝ 15,260.4 = (r)² × 47.1

➝ 15,260.4/47.1 = (r)²

➝ 324 = (r)²

➝ √324 = r

➝ 18 = r

Hence,

The algebraic expression that is a polynomial with a degree of 2 is

6x^2-6x+5.

The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.

The highest degree of the polynomial is considered the degree of the polynomial.

For the first option,

[tex]4x^3-2x+10[/tex]

The highest degree is 3.

The second option is,

[tex]x^2-8x^3+3[/tex]

This polynomial also has a degree of 3.

The third option is,

[tex]6x^2-6x+5[/tex]

This last option has a degree of 2.

Therefore the correct answer is option C.

To learn more about the algebraic expression visit:

https://brainly.com/question/2164351

Answer:The answer is C

Step-by-step explanation:Edge 2022 :)

x = 1.3 (to the nearest tenth)

Step-by-step explanation:

Missing angle is 20 degrees

CAH

hypotenuse = x

Adjacent = 3.6

Cos(20) = x/3.6

x3. 6

3.6 x (20) = x

x = 1.31029.....

Hope this helps!

Answer:

Step-by-step explanation:

Let the height be x.

We know the formula for volume of the box.

Dimensions