Which expression is equal to the expression below?
(7•2)7

Answer:

88

Step-by-step explanation:

First you must find the circumference of the entire circle and to do this you use 2πr. The radius in this case is PX=15. This means that the circumference is 30π. Now to find the arc length, we know that the measure of arc XY is 23 degrees, and since there are 360 total degrees in a circle, we must subtract 23 from 360 to get 337° as the measure of arc XQY. Now we have to find what portion of the circumference of the circle is in this arc, and to do this you divide the arc length (337°) by 360° and multiply by the circumference of the circle. Doing this would get you [tex]\frac{337}{360} *30\pi[/tex] which equals ~28. Finally, you have to multiply this by the value of pi and get approximately 88, which is your answer.

Answer:  a) 110√2 meters

                b) 2.42 hectares

Step-by-step explanation:

a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse.  Therefore, the sides are length x and the diagonal is length x√2.

[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]

b) Area of a square is side squared.    10,000 meters² = 1 hectare

   [tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]

Answer:

The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.

Answer:

Step-by-step explanation:

f(-5) = -5 + 8 = 3

g(3) = 3^3 = 27

Answer:

false

Step-by-step explanation:

the constant term is 3 not 8

hope this helps

hope it will be helpful.......

Answer:

The Area of the required figure is  [tex]315\:cm^2[/tex]

Step-by-step explanation:

[tex]Area = (21\times 7)+(14\times 7) + (7\times 10)\\\\=147+98+70\\\\=315[/tex]

Best Regards!

Answer:

given,

base (b) = 2.25cm

height (h) = 1.5 cm

now,

area (a) = b×h

or, a=2.25cm×1.5cm

therefore the area of parallelogram is 3.375cm^2.

hope it helps..

Answer:3.375 cm²

Step-by-step explanation:

Find the area of the following

parallelogram:

1.5 cm

2.25 cm

Solution:

(1.5×2.25)cm²

= 3.375 cm²

Hope it helps

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.

To find the area of the rectangle when b = 10, substitute 10 for b in the expression:

8b= 8(10)

    =80

Answer:

1, 4, 5, 7, 8

Step-by-step explanation:

once you plot the points you will see that these coordinates are inside the star

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

Answer:

A = 4, B = 3, C = 7, D = 6

Step-by-step explanation:

A = 4 because A represents the number of people who didn't visit either place. This means that B + C + D = 20 - 4 = 16. To find C, which is the overlap we can do 10 + 13 - 16 = 7 so C = 7 which means B = 10 - 7 = 3 and D = 13 - 7 = 6.

Answer:

A = 4, B = 3, C = 7, D = 6

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Formula to get the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The given points are A(2, 7) and B(-4, -3)

Distance between these points will be,

AB = [tex]\sqrt{(2+4)^2+(7+3)^2[/tex]

     = [tex]\sqrt{6^2+10^2}[/tex]

     = [tex]\sqrt{136}[/tex]

     = 11.66

     ≈ 11.7 units

Therefore, distance between the points A and B is 11.7 units.

Option (2) will be the answer.

Answer:

For those with the square root answer its 2\sqrt(34)

Step-by-step explanation:

Hey there! :)

Answer:

y + 32 = 3(x + 8)

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the coordinates of the points into the equation:

[tex]m = \frac{1 - (-32)}{3 - (-8)}[/tex]

Simplify:

[tex]m = \frac{33}{11}[/tex]

m = 3.

Point-slope form is:

y-y₁=m(x-x₁)

Plug in the coordinates of the first point, as well as the slope:

y - (-32) = 3(x - (-8)

y + 32 = 3(x + 8)

Answer:    y+32=3(x+8)

Step-by-step explanation:

First  you need to find the slope.The slope is the change in y divided by the change in x values.

-32 - 1 = -33

-8 - 3 =    -11  

-33/-11 = 3   the slope is 3  

and in point-slope form is  like y-b= m(x-a) where b is a y coordinate and a is the x coordinate.

it could be like   y-1=3(x-3) or y+32= 3(x+8)

Answer:

10 inches

Step-by-step explanation:

Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?

Hence, L1/L2 = W1/W2

∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches

Answer:

x= -2

Step-by-step explanation:

1.5(2x-4)=2(4x+2)

3x-6=8x+4

-5x=10

x= -2

Answer:

Step-by-step explanation:

Exponential Growth:

1). The value of a home in a growing community every year.

2). The amount of money in a saving account that earns interest annually.

Exponential decay:

1). The monthly sale of albums of a band whose popularity is declining.

2). The amount of radioactive element remaining in a sample every decade.

3). The temperature of a hot cup of coffee left on the counter every minute.

Answer:

(a) [tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]

(b) [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]

Step-by-step explanation:

It is given that [tex]0\leq x\leq 2\pi[/tex].

(a)

[tex]\sqrt{2}\sin 2x=1[/tex]

[tex]\sin 2x=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin 2x=\dfrac{\pi}{4}[/tex]

[tex]2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}[/tex]     [tex][\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny][/tex]

[tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]

(b)

[tex]\csc^2 x-\csc x-2=0[/tex]

[tex]\csc^2 x-2\csc x+\csc x-2=0[/tex]

[tex]\csc x(\csc x-2)+1(\csc x-2)=0[/tex]

[tex](\csc x+1)(\csc x-2)=0[/tex]

[tex]\csc x=-1\text{ or }\csc x=2[/tex]

[tex]\sin x=-1\text{ or }\sin x=\dfrac{1}{2}[/tex]         [tex][\because \sin x=\dfrac{1}{\csc x}][/tex]

[tex]x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]

Therefore, [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex].

Answer:

b. 8

Step-by-step explanation:

To solve, we need to plug in the x and y values since we already have the values given to us

1/2(4)(2^2)

We should do the exponents first, 2^2 is 4

Now we are left with 1/2(4)(4)

4 times 4 is 16

16 times 1/2 is the same as 16/2

16/2=8

b. 8

Answer:

The number of different platters Selena can create by selecting two different vegetables is 60 different platters

Step-by-step explanation:

The information given are;

The number of different sizes of salad available = 4

The number of different vegetable to choose from = 6

The number of vegetables Selena ordered = 2

The number of ways Selena can choose 2 vegetables out of 6 = ₆C₂ = 15 ways

The number of different platters (choice of vegetable and size of platter) Selena can create = The number of different sizes of salad available × The number of ways Selena can choose the vegetables

The number of different platters (choice of vegetable and size of platter) Selena can create = 4 × 15 = 60 different platters.

Answer:

1:3

Step-by-step explanation:

both divide by 60 so do 60 divided by 60 which is one

then 180 divided by 60 which is three

this gives you the answer

Answer:

1:3

Step-by-step explanation:

a ratio is basically the same as a fraction just in a different form. so it would be 60/180 simplified. both 60 and 180 can be divided by 60. so you would divide both numbers by 60 to get 1/3. this cannot be simplified any further. then to put it as a ratio it would just be 1:3

Answer:

Correct option: E

Step-by-step explanation:

The group must have 1 man and 1 woman.

So, for the woman slot, we have 4 possible choices, because we have 4 women and 1 slot to occupy.

For the man slot, we have 2 possible choices, because we have 2 men and 1 slot to occupy.

So the number of different groups we can make is the product of the number of possibilities for each slot:

Number of groups = 4 * 2 = 8

Correct option: E

Answer:

The average speed for his journey from York to Blackpool is 61.4 KM/H

Step-by-step explanation:

Answer: $70 per hour

Step-by-step explanation:

Hi, to answer this question we have to calculate the hourly fee.

To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):

Mathematically speaking:

350/5 = $70 per hour

So, since the work fee is proportional, for x hours, the expression is:

70x

Feel free to ask for more if needed or if you did not understand something.

Answer: 9/15, 16/25, 3/4 and 5/6.

Step-by-step explanation:

From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:

3/4 = 3/4 × 100 = 75%

5/6 = 5/6 × 100 = 83.3%

16/25 = 16/25 × 100 = 64%

9/15 = 9/15 × 100 = 60%

From the above percentages, arranging the fractions from the smallest will be:

9/15, 16/25, 3/4 and 5/6.

Answer:

  120

Step-by-step explanation:

n^2 has a factor of 18, so factors of 3^2·2. Since n^2 is a perfect square, we know n must have a factor of 3·2 = 6.

n^3 has a factor of 640, so factors of 2^7·5. Since n^3 is a perfect cube, we know n must have a factor of 2^3·5 = 40.

The least common multiple of 6 and 40 is 120.

The smallest positive integer n is 120.

_____

Check

120^2/18 = 800

120^3/640 = 2700

Answer:

y = 4/3x + 5

Step-by-step explanation:

if the slope is -3/4 then the perpendicular slope is 4/3

y = mx + b

9 = 4/3(3) + b

9 = 4 + b

5 = b

y = 4/3x + 5

Answer:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

Build time (hours) = 4c + 6a = 120

Test time (hours) = 4c + 4 a = 100

Where c represents the number of child bikes and a represents adult bikes.

So, for 20 child bikes and 6 adult bikes:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Feel free to ask for more if needed or if you did not understand something.

Answer: PQT and TUV

Step-by-step explanation: