Find the area of the figure.

Step-by-step explanation:

a+b=41

let larger number be a and smaller be b

a=21+b

placing value of a in a+b=41

21+b+b=41

2b=41-21

b=20÷2

b=10

so a=21+10

=31

the numbers are 21 and 10.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, The sum of two numbers is 41.

let "x" be the smallest number.

Since The larger number is 21 more than the smaller number.

thus,

the larger number = 21 + smaller number

The larger number = 21 + x

Thus, sum = 41

x + 21 + x = 41

2x = 20

x = 10

So,

the Largest number = 21 + 10

Therefore, The largest number and the smallest number are 21 and 10 respectively.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer: 0

Step-by-step explanation:

So the slope of a line is equal to rise over run, or the change in x over the change in y. We can solve for the change in x and the change in y by finding their differences. For the math, we use the formulas y2 - y1/x2 - x1. Filling in this formula we get, (5-5)/(3-13), which is equal to 0/10. Because 0 divided by anything is 0, the answer here is 0.

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

Answer:

28

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28

Answer:

I think its true

Answer:

Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.

For example, the rectangular prism below has a volume of 181818 cubic units because it is made up of 181818 unit cubes. also the rectangle has more suface

area Step-by-step explanation:

Answer:

y=-x-6

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.

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Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

Answer:

7 hours

Step-by-step explanation:

24 hours - 25% - 1/3 - 1/8 =

18 - 8 - 1/8 =

10 - 1/8 =

7

Answer:

152 square inches

Step-by-step Explanation:

To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)

We should get 80+48+24 which add up to 152.

In case if you are confused which parts you don't understand in these photos, you can ask in the comment.

Answer:

1/32

Step-by-step explanation:

There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.

1/8 * 1/4 = 1/32 chance of landing on green and then blue.

Answer:

(2, -1)

(10, 15)

Step-by-step explanation:

Subtract the second equation from the first

  y = x² – 10x + 15

- (y =           2x – 5)

————————————

 0 = x² - 12x + 20

Factor

(x  - 2)(x - 10) = 0

x = {2, 10}

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

For x = 2

y = 2(2) - 5

y = -1

Solution 1

(2, -1)

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

For x = 10

y = 2(10) - 5

y = 15

Solution 2

(10, 15)

Answer: C

Step-by-step explanation:

My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.

#[tex]AnimePower[/tex]

Answer:

6.72/3.2=2.1

Step-by-step explanation:

Answer:

Since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Step-by-step explanation:

Given that Walltown is 25 miles east of Park City, and Park City is 38 miles south of Edenton, and Michael drove from Edenton to Park City and then to Walltown while Leah drove straight from Edenton to Walltown, to determine about how much farther did Michael drive than Leah, the following calculation must be performed, using the Pythagorean theorem:

Michael:

38 + 25 = 63

Leah:

25 ^ 2 + 38 ^ 2 = X ^ 2

625 + 1,444 = X ^ 2

2,069 = X ^ 2

√2,069 = X

45.48 = X

63 - 45.49 = 17.51

Therefore, since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Answer:

A cylinder

Step-by-step explanation:

When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.

Answer:

CYLINDER

Step-by-step explanation:

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer:

47.5  

Step-by-step explanation:

From delta math

Answer:

tan A = .3429  

Step-by-step explanation:

Tangent = Opposite over Adjacent

The opposite of ∠A = 12 and the adjacent = 35

so tan A = 12/35 which equals .3428571492

The question asks us to round to four decimal places

Hence, the answer is .3429

Answer:

Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )

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

Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer:

C

Step-by-step explanation:

Continental Drift Theory says that all the continents used to be one landmass called Pangaea, and that proves how glaciers, fossils, and plants are on different sides of oceans.

(Is proven to be true.)

So that leaf must have came from a tropical landmass like Australia, Africa, or South America.

Since C is the one that explains Plate Tectonic Theory, it is correct.

Answer:

The X represents how much Han made.

Step-by-step explanation:

I believe thats the answer.

Answer:

6 ; 10

18 ; 162

Step-by-step explanation:

Recall :

Rate of change = Slope = Rise / Run = (y2 - y1) / (x2-x1)

2nd point is (1, 7)

3rd point is (2, 13)

Rate of change = (13 - 7) /(2 - 1)  = 6 /1 = 6

3rd and 4th point :

(2, 13)

(3, 23)

Rate of change = (23 - 13) / (3 - 2) = 10 /1 = 10

PART B:

(2, 11) ; (3, 29)

Rate of change = (29 - 11) / (3 - 1) = 18 /1 = 18

(4, 83)

(5, 245)

Rate of change = (245 - 83) /  (5-4) = 162 / 1 = 162

Answer: -30h +9

Step-by-step explanation:

Answer:

25h²-30h+9

Step-by-step explanation:

we need to multiply binomials

to multiply binomials using the FOIL method, we first multiply the First terms (F for first) together (in this case, 5h and 5h)

That gives us 25h²

Next up, we do the Outer terms (O for outer), which in this case are 5h and -3. This gives us -15h

then, we do the two Inner terms, (I for inner)  which are -3 and 5h. This gives us -15h

finally, we do the two Last terms (L for last), which are -3 and -3. This gives us 9

here's what we have  from doing FOIL:

25h²-15h-15h+9

we can combine the 2 -15h's together to get:

25h²-30h+9

Hope this helps!

Answer:

Hence  Mr Drew will get 20 pieces of a Quarter

Step-by-step explanation:

From the question we are told that:

Money changed [tex]m= 5[/tex]

Number of coins [tex]N=20p[/tex]

Generally the equation for coin change into x is mathematically given by

 [tex]x=\frac{m}{N}[/tex]

 [tex]x=\frac{5}{20}[/tex]

 [tex]x=\frac{1}{4}[/tex]

Therefore oin change into x is given as

 [tex]x=\frac{1}{4}[/tex]

Hence  Mr Drew will get 20 pieces of a Quarter

Answer: 18 yellow flowers

Step-by-step explanation:

There are 9 flowers in each of the 6 rows. The total number of flowers planted is therefore:

= 6 rows * 9 flowers per row

= 54 flowers

A 1/3 of these flowers were yellow flowers so the number of yellow flowers planted is:

= 1/3 * 54

= 54/3

= 18 yellow flowers

Step-by-step explanation:

This is saying " Every number possible thats less than, but not 0" so you show that