what three ratios are equivalent to 6/18

Step-by-step explanation:

must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track

The perimeter of the track is 464 m

The length around an object is called its perimeter.

Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.

The dimension of the rectangle are 100 m and 64 m

The distance between the outer an dthe inner track is 10 m,

The diameter of the outer semicircles is 64+10+10 = 84 m

Therefore, is radius = 42 m

The perimeter of the outer semicircle = 2×π×radius

= 2×3.14×42

= 264 m

The length of the two straight lines = 100 + 100 = 200 m

Therefore, total perimeter of the whole track = 200+264 =464 m

Hence, the perimeter of the track is 464 m

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The figure for this question is:

Step-by-step explanation:

Factors of 36 are {1,2,3,4,6,9,12,18,36}

.

Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

Common factors are }1,2,3,4,6,12} .

greatest Common Factor is 12 .

Answer:

Step-by-step explanation:

Simply put, it is similar to finding the area of a circle.

Therefore, a=pi*r^2

a=pi*23^2

a=529pi

a=1661.9 ft^2

1. answer choice 3

2. answer choice 2

3. answer choice 1

4. answer choice 4

5. answer choice 5

Answer:

1. the answer choice 3

2. the answer choice 2

3. the answer choice 1

4. the answer choice 4

5. the answer choice 5

Step-by-step explanation:

Answer:

4√3

Step-by-step explanation:

Hello!

This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.

In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.

This means that the hypotenuse would be 2 times 4, or 8.

The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.

So the measure of x is 4√3.

An image is attached for your reference.

The value of side labeled x using Trigonometric ratio is  [tex]{4}{\sqrt 3}[/tex].unit.

Given:

Angle = 30

Perpendicular or opposite side= 4

Using Trigonometric ratio

tan 30 = Opposite side / Adjacent side

Substituting Opposite side= 4 and Adjacent side = 4 in above ratio

So, tan 30 = 4 / x

As, the value of tan 30 = [tex]\dfrac{1}{\sqrt 3}[/tex] then

tan 30 = 4 / x

[tex]\dfrac{1}{\sqrt 3}[/tex]  = [tex]\dfrac{4}{x}[/tex]

solving for x

x = [tex]{4}{\sqrt 3}[/tex]

Thus, the value of x is [tex]{4}{\sqrt 3}[/tex].

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The surface area of the solid formed is about 598.33 in²

Area is the amount of space occupied by a two dimensional shape or object.

1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in

Hence:

Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²

The surface area of the solid formed is about 598.33 in²

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Answer:

224

Step-by-step explanation:

56 * 4 =224

Answer:

224

Step-by-step explanation:

the pattern is 4 times the space the number is in

ex: 4,8,12,16 because 16 is the 4th number and 4x4= 16

hope this helps!

Have a wonderful day :D

Answer:

[tex]2^{\frac{1}{27} }[/tex]

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]

→ Simplify

[tex]2^{\frac{1}{27} }[/tex]

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

s = arc length

n = measure of the central angle of the sector

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]

[tex] n = 54.1^\circ [/tex]

Area of sector of circle of radius r:

[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]

A = area of sector of circle

n = measure of the central angle of the sector

[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]

[tex] A= 38.25~cm^2 [/tex]

Answer:

214130

Step-by-step explanation:

27.6 /100 = 59100 / x

x = 214130

Answer:

Lets break this down

The question asks for “How many balloons does she end up with”?

A important fact is that Jan doesn’t care what color she has.
So using this we can disregard the colors.

She is only allowed to have 60 percent of all the balloons she choosed.

So lets add them.

10 + 12 +8 + 9 = 39

She chose 39 balloons in total.
Since she doesn’t care about the color we can jsut find 60 percent of 39.

In order to find this we just multiply 60% of 39.

Percentage means out of a hundred so 60 percent is 60 out of a hundred or in this age 60/100.

Now 60/100 is basically 0.6

So we multiply 39 by 0.6

23.4 is the answer.

Now you can’t have .4 of a balloon so we jsut round down for any decimal in this case.

23.4 is 23 now.

So 23 balloons is the amount of balloons Jan ends up with

Answer:

15

Step-by-step explanation:

[tex]since \: \: \frac{5}{8} \times 40 \\ = 25[/tex]

[tex]those \: that \: did \: not \: sprout \: would \: be \\ \: equals \: to \: 40 - 25 \\ = 15[/tex]

Answer:

1.75 = 1 3/4

Step-by-step explanation:

1 3/4 = 1.75

Answer:

=

Step-by-step explanation:

-1.75 is the same as -1 3/4

Answer:

around 8 or 9 years

Step-by-step explanation:

Make a story problem about conversion of measurements.

Cairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.

Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.

Answer:

I don't know I'm trying my best and I'm late

Step-by-step explanation:

Answer:

D)  154 ft²

Step-by-step explanation:

Formula

Area of a rectangle = width x length

We only need to calculate the area of the walls.

There are two pairs of walls with the following dimensions:

Therefore, area to paint = 2(5 x 7) + 2(6 x 7)

                                        = 70 + 84

                                        = 154 ft²

Bottom cube 's LSA need to be counted

LSA:

2/3 ×12

= 2/1 × 4

= 2× 4

=8

........

Answer:

29.5

Step-by-step explanation:

14sq + 26sq = 872

sq root of 872 is 29.5

Answer:

1

Step-by-step explanation:

If you're given 3 side lengths and 3 measurements of the angles , there's only one triangle that you may draw. You also can draw distinctive  triangles given 3 aspect lengths or  aspect lengths and the blanketed distinctive measure.

Answer:

1

Step-by-step explanation:

if you are given 3 measurements you are kind of stuck making that one triangle, no matter which way you shape it you have to have those three angles so you can't make more than that one triangle

Answer:

c 7-x

Step-by-step explanation:

The number of dolls Jacky is 50 and the number of dolls Peter is 20. Then the total number of dolls is 70.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5: 2.

[tex]\rm \dfrac{x}{y}=\dfrac{5}{2}[/tex]

Let the number of dolls Jacky be x and the number of dolls Peter be y.

But, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. Then we have

x - 15 = y + 15

     x = y + 30

Then we have

[tex]\begin{aligned} \rm \dfrac{y+30}{y} &=\dfrac{5}{2}\\\\2y + 60 &= 5y \\\\3y &= 60 \\\\y &= 20 \end{aligned}[/tex]

Then x will be

x = y + 30

x = 20 + 30

x = 50

Then the total number of dolls they have altogether will be 70.

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Answer:

70

Step-by-step explanation:

BECAUSE

Answer:

-1

Step-by-step explanat

yes

Answer:

63

Step-by-step explanation:

Multiply each side by 9

4y=252

Divide by 4

y=63

Answer:

y= 63

Step-by-step explanation:

Answer:

Each number multiplies by 5

Step-by-step explanation:

6x5 = 30

30 x 5 = 150

150 x 5 = 750 etc.

Answer:

The angle of KLM is 50°

Step-by-step explanation:

Used protractor

Answer:

∠ KLM ≈ 33.7°

Step-by-step explanation:

using Pythagoras' identity in right triangle JKM

KM²  = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )

KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm

using the sine ratio in right triangle KLM

sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then

∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )

Answer: 4.25

Step-by-step explanation:

First day: 60 × 5.5 = 330

Second day: 585 - 330 = 225 ÷ 60 = 4.25