40. A playground is constructed with the. dimensions and shape shown below.

What is the area of the playground?

​

Answer:

160 raisins

Step-by-step explanation:

First, the ratio of peanuts to raisins will be 5:4.

Next, to fine the number to multiply the 4 by, you will divide 200 by 5.

You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.

So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.

So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160

Answer: 2.20 per candy bar

Step-by-step explanation:

1. 0.40(25) + x(25) = 65

2. 10 + 25x = 65

3. 25x = 55

4. x = 2.20

Answer:

260

Step-by-step explanation:

Number of hours in one year = 365 x 24 x 60 = 525600

(365 days, 24 hours per day, 60 minutes per hour)

One prize is won every 2018 minutes so in 525600 minutes

525600 / 2018 = 260 prizes will be won  (The answer is 260.46, which rounds to 260)

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Answer:

11  1.6

12  Mauricio

Step-by-step explanation:

11.  Take the absolute value of each number to determine which is furthest from zero

|-1.5| and |1.6|

1.5  and 1.6

1.6 is greater than 1.6  so it is further from 0

12.  The fastest time is the smallest time

The ones place all has 7's so look at the tenths place

The smallest number will have the fastest time

Mauricio has a 2 which is the smallest number

Mauricio has the fastest time

Answer:

0.2

0.3

0.4

Step-by-step explanation:

Answer:

You can't find the probibilty of the event because it doesn't exist

Step-by-step explanation:

Answer:

This doesn't make sense because there is no C variable, but I will solve for f if that helps.

Step-by-step explanation:

[tex]f=1.80+32[/tex]

       [tex]-32[/tex]   [tex]-32[/tex]          

[tex]f=-30.2[/tex]      

Answer:

A

Step-by-step explanation:

Desnity: mass/volume

3/20= .15

Answer:

D

Step-by-step explanation:

To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.

3 x 5 = 15, 4 x 5 = 20, etc. This shows linear growth. If each x value were multiplied by twice itself (3 x 6, 4 x 8, and so on), you wouldn't have a straight line because the number that x is multiplied by changes depending on the value of x.

Answer:

Step-by-step explanation:

m=3x +4xm

Answer:

Step-by-step explanation:

f(1) = 160

f(n + 1) = -2 * f(n)

n = 1

f(2) = -2*f(1)

f(2) = -2*160

f(2) = - 320

f(3) = - 2*f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = -2 * f(3)

f(4) = -2 * 640

f(4) = - 1280

Answer:

x = 60°

Step-by-step explanation:

∠ CGE = ∠ FGD = 30° ( vertical angles )

∠ CGB = 90° , then

x + 30° = 90° ( subtract 30° from both sides )

x = 60°

Answer:

The answer is25th August

Answer:

77 feet above the ground.

Step-by-step explanation:

After going up 11 flights, (5 +6), he goes down 8, which brings you to 3 and then back up to 7 (3 +4). Since each story is 11 feet high, you multiply 7 and 11, to get a total of 77.

Answer:

[tex]\sqrt{89}[/tex] or 9.43

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer:

33

Step-by-step explanation:

The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33

Step-by-step explanation:

Let,

the telephone pole be AB

the wire be AC

therefore AB=24

AC=26

By using Pythagora's theorem

(AC)² =(AB)² + (BC)²

(26)² =(24)² + (BC)²

676 = 576 + (BC)²

(BC)²= 676 - 576

(BC)²=100

BC =✓100

BC. =10

Therefore, the base of the telephone pole is set 10m far

Answer:

B.

Step-by-step explanation:

28 is not a multiple of 13.

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]

Solve for j:

[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

Answer:  [tex]3\dfrac{2}{6}\ h[/tex]

Step-by-step explanation:

Given

Rami practices his saxophone for [tex]\frac{5}{6}[/tex] hour on 4 day each week

So, for a week she practices around

[tex]\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}[/tex]

Converting it into mixed fraction

[tex]\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h[/tex]

Answer:

33/100

Step-by-step explanation:

Answer:

x1= -2

x2= 6

Step-by-step explanation:

x^2-4x-12=0

x^2+2x-6x-12=0

x(x+2)-6(x+2)

(x+2)*(x-6)

one solution

x+2=0

x=-2

other solution

x-6=0

x=6

Answer:

1/27

Step-by-step explanation:

Answer:

5x+8

Step-by-step explanation:

Answer:5x+8

Step-by-step explanation:

8x+13

-3x

5x+13

-5

5x+8

Answer:

The value of x is 100

Answer:

8

Step-by-step explanation:

Divide 30 by 3.75 to get 8.

Hope that this helps!

Answer:

x = 2, BD = 13

Step-by-step explanation:

Given 2 intersecting chords , then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )

5x - 1 = 9 ( add 1 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

Then

BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13

The quotient 35 divided by 11 is the only one among the options that is greater than 3.

To determine which quotient is greater than 3, we can calculate the value of each quotient:

28 divided by 10 = 2.8

35 divided by 11 ≈ 3.182

38 divided by 13 ≈ 2.923

40 divided by 14 ≈ 2.857

Comparing these values, we can see that only the quotient 35 divided by 11, which is approximately 3.182, is greater than 3.

Therefore, the quotient 35 divided by 11 is the only one among the options that is greater than 3.

To know more about divided:

https://brainly.com/question/15381501

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Answer:

[tex]2034.72\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.

What we're given:

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]