A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

Part (a)

--------------------------

Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Answer: The number is 192

Step-by-step explanation:

Answer:5w=36

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

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Answer:

-69

Step-by-step explanation:

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

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Answer:

7.2

Step-by-step explanation:

24/2 = 12

19.2/2 = 9.6

[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84

[tex]\sqrt{51.84}[/tex] = 7.2

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.

Tell me if I'm wrong and please explain.

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

Answer:

B.) 42.9

Step-by-step explanation:

The percent that we are trying to find out is 12/28

I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)

Anyways 12 divided by 28 = 42.857etc.

If we simplify this then that gives us our answer of B.) 42.9

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

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i think 2 bags or 1 bags hope it helps

The area of the farmer's land is 54 square yards and number of bags needed is 2. The correct option is (B).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For the given diagram, the following data is given as,

Base of the upper and lower triangle is 6.5 + 2.5 = 9 yards.

And, the height is given as 6 yards.

Now, the area of the land can be given as,

Area of upper triangle + Area of lower triangle

⇒ 1/2 × 9 × 6 +  1/2 × 9 × 6

⇒ 54 square yards.

As per the question, the area of the land is more than the soil contained in 1 bag.

Which implies the number of bags required is given as 2.

Hence, the area of land and number of bags required is obtained as  54 square yards and 2 respectively.

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Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:

13.5 ounces

Step-by-step explanation:

Answer:

I believe its 7?

Step-by-step explanation:

sorry if this is wrong

Answer:

si yo lo sé tú también cierto

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ([tex]m[/tex])

When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:

[tex]y=3x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.

[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]

Subtract both sides by 12

[tex]-3-12=12+b-12\\-15=b[/tex]

Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.

[tex]y=3x+(-15)\\y=3x-15[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

edge2021

Answer:

8

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:

Hope this helps

The value of tan∠A form the right angled triangle ABC is 1.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:

tan∠A = (tan∠B)⁻¹ = 1

The value of tan∠A form the right angled triangle ABC is 1.

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Answer:

Step-by-step explanation:

6(k + 2) + 1 = 13 (distribute 6 around the k+2)

6k + 12 + 1 = 13 (add 12 and 1)

6k + 13 = 13 (subtract 13 from both sides)

6k = 0 (divide by 6)

k = 0

Answer:

6( k + 2 ) + 1 = 13

6k + 12 + 1 = 13

6k + 13 = 13

6k = 0

k = 0/6

so it will 0