What is the measure of the hypotenuse?

Multiply number of notebooks by number of pages in each one.

17 x 95 = 1615

The answer is 1,615 total pages

Answer:

A. 1615

Step-by-step explanation:

Solve as shown:

17 books that each have 95 pages equals the total pages.

17(95)=?

17(95)=1615

Answer:

[tex]9\; \rm m[/tex].

Step-by-step explanation:

Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with [tex]\rm 12\; m[/tex]. The three labelled lines in this diagram will form a right triangle.

Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:

[tex](\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2[/tex].

In this particular right triangle:

[tex](\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2[/tex].

[tex](\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2[/tex].

Therefore, the height of this ridge would be [tex]\sqrt{81}\; \rm m = 9\; \rm m[/tex]. (Note the unit.)

Answer:

9.8 carats.

Step-by-step explanation:

5.1 + 0.7 + 1.4 + 2.6

= 9.8

Answer:

613.5 m^2

Step-by-step explanation:

The area of the base is

A = 1/2 bh

   = 1/2 (10) (8.7) =43.5 m^2

We have three sides with all the same area

The area of one side is 10 * 16 = 160

3 * 160 = 480 m^2

Now to the top

We have 3 sides with the same area

The area of one side

A = 1/2 bh

A = 1/2 (10) (6)

   = 30 m^2

3* 30 = 90

Add all the areas together to get the total surface area

43.5 m^2+ 480 m^2 + 90 m^2

613.5 m^2

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

The answer is D. x = 32 and x = 0

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

Explanation:

Think of x-16 as y. In other words, let y = x-16

We have (x-16)^2 = 256 become y^2 = 256.

Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.

--------

If y = 16, then y = x-16 solves for x to get

y = x-16

16 = x-16

x-16 = 16

x = 16+16

x = 32 is one solution

---------

Plug in y = -16 and isolate x

y = x-16

x-16 = y

x-16 = -16

x = -16+16

x = 0 is the other solution

----------

We can check each answer by plugging them back into the original equation

Let's try x = 0

(x-16)^2 = 256

(0-16)^2 = 256

(-16)^2 = 256

256 = 256 ... works

Now try x = 32

(x-16)^2 = 256

(32-16)^2 = 256

(16)^2 = 256

256 = 256 ... also works; both answers have been confirmed

Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

y - 8 = -2/3x - 2

y = -2/3x + 6

Answer:

4(2x-3)

Step-by-step explanation:

Let the number be x

⇒ Multiplying by 2 makes it 2x

⇒ Subtracting 3 makes it 2x-3

⇒ Multiplying the whole by 4 gives 4(2x-3)

Answer:

B 50˚

Step-by-step explanation:

What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.

You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.

mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,

180˚=80˚+x

x=180-80

x=100

Now, you can solve:

Method 1:

360˚=80˚+80˚+50˚+100˚+x

360-80-80-50-100=x

x=50˚

Method 2:

180˚=80˚+50˚+x

x=180-80-50

x=50˚

This corresponds to answer choice B.

Answer:

B.

Step-by-step explanation:

Answer:

n² / (n³ + 5)

Answer:

87.375

Step-by-step explanation:

Answer:

699/8 or 87.375

Step-by-step explanation:

Assuming 12 5/8+ 12 3/4+ 12 7/8+ 13+ 13 1/8 are mixed numbers.

Answer:

Step-by-step explanation:

How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts

let x = amount of the 50% solution

A typical mixture equation using the decimal equivalent to

0.50x +0 .20(20) =0 .40(x+20)

0.50x + 4 = 0.40x + 8

0.50x - 0.40x = 8 - 4

0.10x = 4

x = 4/0.1

x = 40 qts of 50% solution

Answer:

40 quarts I checked in RSM portal

Answer:

m∠BCD = 120°

Step-by-step explanation:

Since the interior angles of a quadrilateral add up to 360°, then we get:

2x+x+2x+x=360°

6x=360°

Divide both sides by 6

x=60°

Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.

Answer:

6x^2 -4x +8

Step-by-step explanation:

(6x^2+ 5) - (4x - 3)

Distribute the minus sign

(6x^2+ 5) - 4x + 3

Combine like terms

6x^2 -4x +8

Answer:

Step-by-step explanation:

C

Answer:

256

Step-by-step explanation:

First..

8*2=16

Now

16 (squared)=256

Answer:

The answer is 32

Step-by-step explanation:

8 x 2 is 16

16 is 2 is 32

pls give me brainliest, I show work

Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]

Step-by-step explanation:

my answer was wrong and cannot be deleted :)

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

Answer:

5. 48

6. 33

7. -16

8. -7

Step-by-step explanation:

[tex]5. \\8(10-4)=\\80-32=\\48[/tex]

[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]

[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]

[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]

Answer:

Colin's mean score = 17.10

The new mean is 18.00

Step-by-step explanation:

Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1

number of terms: 10

mean is calculated by given formula = sum of all the data set/ number of terms in the data set.

mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10

                                       = 171/10 = 17.1

Colin's mean score = 17.10

____________________________________________

runs scored by Colin in 11th match = 27

number of terms: 11

new mean = new sum /number of terms

new mean = (old sum score + 27)/11 = (171+27)/11

new mean = 198/11 = 18

The new mean is 18.00

Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.

Step-by-step explanation:

Let x represent the amount that he would deposit in the simple interest account.

Let y represent the amount that he would deposit in the certificate of deposit.

she will deposit twice as much in the certificate of deposit. It means that

y = 2x

Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x

Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.

The total interest from both accounts would be $390. It means that

0.07x + 0.05y = 390- - - - - - - - - - 1

Substituting y = 2x into equation 1, it becomes

0.07x + 0.05 × 2x = 390

0.07x + 0.1x = 390

0.17x = 390

x = 390/0.17 = $2294

y = 2x = 2 × 2294

y = 4588

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

Answer:

false

brainliest to me!

Step-by-step explanation:

0 is a whole number but not a natural number so its false!

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

Answer:

See explanation

Step-by-step explanation:

Line A

gradient = 4

x-intercept = -1

y-intercept = 4

Line B

gradient = -3

x-intercept = -1

y-intercept = -3

y + 8x = - 72

x-intercept = -9

y-intercept = -72

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

60 m³

Step-by-step explanation:

A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).

Given a prism with a base of length (l) = 5 m  by width (w) = 3 m and a height (h) = 4 m.

Volume= l × b × h

Volume = 5 m × 4 m × 3 m = 60 m³

Answer:

60m3

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing the equation

4+(x-3) = 2x-5

doing the math you will get that 6 is your x.

Hope this helps :)

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer & Step-by-step explanation:

18 - (2x + 1)

Distribute the negative sign (-) to 2x + 1.

18 - 2x - 1

Put -2x in the beginning of the expression and combine like terms.

-2x + 17

So, the answer to 18 - (2x + 1) is -2x + 17.

Answer:14:28:98

Step-by-step explanation:

To divide a value by a ratio, we first find the total number of parts:

1+2+7 = 10

Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:

140 divided by 10 = 14.

Part 1: 14 x 1 = 14

Part 2: 14 x 2 = 28

Part 3: 14 x 7 = 98

Answer:

The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.

Step-by-step explanation:

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x