Determine whether the triangles are similar.

Answer:

471.24

Step-by-step explanation:

The formula for circumference is 2×pi×r. Replace the r with 75 and multiply.

circumference of the race track = 471.24 yards.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Given,

radius of race track r = 75  yards

circumference of the park = 2πr

                                            = 2×3.1416×75

                                            = 471.24 yards

471.24 yards is the circumference of the race track.

Learn more about circle here:

https://brainly.com/question/29142813

#SPJ2

Answer:

(-1,-11)

Step-by-step explanation:

Since the Transformation happened to the g(x)

where we multiplied g(x) by -1 and g(x) represents the y-value

so the y-value will be multiplied by -1

New y-value = 11*-1 = -11

so the New Point will be (-1,-11)

Answer:

140

Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

Cross out the numbers that are divisible

560/4 = 140

Answer:5 years is 650 10 years is 1300

Step-by-step explanation:

Folding the paper is an illustration of rotation

Two right triangles and one square would be seen on the diagram, when folded

From the figure, we have the following highlights

This means that when the paper is folded as shown, the designs would fall on each other, and the shapes would fit in perfectly.

Hence, two right triangles and one square would be seen on the diagram, when folded

Read more about rotation at:

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Answer:

Oar City

Step-by-step explanation:

boat bunker charges 9$ per hour

27÷3=9

while Oar City charges 5$ per hour

45÷9=5

Formula to find average:

Total value / number of values

____________

1. Krista = 30

a) Des = 2(30) - 20 = 40

b) Dodie = 30 - 4 = 26

c) Average score = 40 + 30 + 26 / 3 = 32

d) Dodie scored the least marks.

_____________

2. Ezekiel = x

Vincent = 6 + x

Daniel = x - 3

Average = 63

63 = x + 6 + x + x - 3/3

63 × 3 = x + 6 + x + x - 3

189 = 3x + 3

189 - 3/3 = x

62 = x

a) Vincent = 6 + x = 68 kg

b) Ezekiel = x = 62 kg

c) Daniel = x - 3 = 59 kg

d) Total weight = 62 + 68 + 59 = 189 kg

_____________

Hope it helps ⚜

Answer:

#a

[tex] \implies\displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8}}[/tex]

Converting each of them into equivalent like fractions,

[tex] \implies{ \displaystyle \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} }[/tex]

[tex] \implies{ \displaystyle{ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} }}[/tex]

[tex] \implies{ \displaystyle{ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} }}[/tex]

[tex]{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} = \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{59}{24} = 2\frac{11}{24} }}[/tex]

Shortcut method:-

[tex]\implies{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{3 \times 6 + 5 \times 4 + 7 \times 3}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{18 + 20 + 21}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{59}{24} = 2 \frac{11}{24} }}[/tex]

Remarks:-

#b

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} }}[/tex]

[tex]{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} = \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{144 + 51 + 68}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{233}{18} = 12 \frac{17}{18} }}[/tex]

Alternatively,

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{(6 + 2 + 3) + \frac{1}{3} + \frac{5}{6} + \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{1 \times 6 + 5 \times 3 + 7 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{35}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + 1 \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 + \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 \frac{17}{18} }}[/tex]

[tex] \large \sf \frac{3}{4} + \frac{5}{6} + \frac{7}{8} [/tex]

Write all numerators above the least common denominator 24

[tex] \large \sf \frac{3 \times 6 +5 \times 4 + 7 \times 3 }{24} [/tex]

Multiply the numbers

[tex] \large \sf \frac{18 +20 + 21 }{24} [/tex]

Add the numbers

[tex] \large \sf \frac{59 }{24} [/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \large \sf 6\frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} [/tex]

Convert the mixed number to an improper fraction

[tex] \large \sf \frac{19}{3} + \frac{17}{6} + \frac{34}{9} [/tex]

Write all numerators above the least common denominator 18

[tex] \large \sf \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} [/tex]

Multiply the numbers

[tex] \large \sf \frac{114+ 51 + 68}{18} [/tex]

Add the numbers

[tex] \large \sf \frac{233}{18} [/tex]

Answer:

anyone know the real answer please i need helpppppppp

Step-by-step explanation:

please

Answer:

C

Step-by-step explanation:

r - rcosθ = 6

r - x = 6

r = 6 + x

r² = (6 + x)²

x² + y² = 36 + x² + 12x

y² = 36 + 12x

12x = y² - 36

x = y²/12 - 3

That is C

Answer:

9.7 ft

Step-by-step explanation:

Use the formula for the area of a regular polygon with "n" sides with lengths "s" and apothem a:

A= 1/2 ans

1. Substitute A= 310.4

2. n= 8 (for octagon)

3. s = 8 (length of side)

310.4 = 1/2 (a)(8)(8)

310.4= 32a

a= 9.7 ft

Length of apothem: 9.7 ft

Answer:

-450 dollars

[tex]500 - 450 = 50\\50 - 50 = 0\\0 - 480 = -480\\-480 + 30 = -450[/tex]

I hope this helps! Have a great day.

Answer:

-$450

Step-by-step explanation:

yup

Answer:

90 dollars

Step-by-step explanation:

so first you need to solve for the rate of change or slope with the equation

y 2 - y1 / x2 - x1

here i think the independent variable is number of roses since the dollars rely on the number of roses (sorry for my explanation its kinda bad)

so since number of roses is independent we know that it is x and that the price in dollars is y

anyways we have to substitute two values into the equation

y 2 - y1 / x2 - x1

(3, 9) (6, 18)

18 - 9 / 6 - 3

9 / 3

3

knowing that the rate of change is 3, to find the price for 30 roses all we have to do is:

let p be price

p = 3x

p = 3(30)

p = 90 dollars

Answer:

C

Step-by-step explanation:

Because it can be 9 or less than 9

Answer:
The answer would be C

Step-by-step explanation:

The reason why the answer would be C is because if it were to only be exactly at nine it would be the symbol of just less then but because the circle is filled that means that is less then or equal to

Have a good day

Answer:

Slope= 30

Speed = 30 miles per hour

Step-by-step explanation:

Given two points the slope will be change in y over change in x

OR (y-y1)/(x-x1)

(120-60)/(2-1) = 60/2 = 30miles/hr

Answer:

yes, $694.88

Step-by-step explanation:

You have to find the cost after applying the coupon and sales tax. First remove 25% from the price by finding 75% of the price. 850*.75=$637.5 after applying the coupon. Then you would have to increase it by 9% to account of sales tax, so multiply by 1.09. 637.5*1.09= $694.88 after sales tax. This means that Larry can very narrowly afford the computer.

Answer:

2 adults, 8 children.

Step-by-step explanation:

just add the prices together.

Answer:

He would get 30 boxes I think

Step-by-step explanation: I did the math, I hope its correct

The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5

Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180

The value of x is 69

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertical opposite angles are congruent. Therefore,

a. ∠5 ≅ ∠7 (vertical angles)

Therefore, angles 5 and 7 are congruent angles.

∠7 = 47°

b. Suppose ∠6 = 2x - 5 . let's find x

Therefore,

∠5 + ∠6 = 180(angle on a straight line)

The equation to solve the above is as follows:

47 + 2x - 5 = 180

42 + 2x = 180

2x = 180 - 42

2x = 138

x = 138 / 2

x = 69

learn more on intersecting lines here: https://brainly.com/question/24715845

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69

Answer:

5 but fair losing would be three-fifths

Step-by-step explanation:

Answer:

Rs 190000

Step-by-step explanation:

Total property = Rs 1000000

For 1 son= 27% of the property

For 3 sons=27%×3= 81%

For daughter=100%-81%=19%

Now,

For daughter

19% of Rs 1000000

19/100 × Rs 100000

Rs 190000

Hence the daughter will get Rs 190000

[tex](\sqrt{a} -2)(\sqrt{a}+2)\\=\sqrt{a}*\sqrt{a} +2\sqrt{a} -2\sqrt{a} -2*2\\=a - 4[/tex]

Hope that helps!

Answer:

For every 9 grasshoppers in Ryan's collection, there are 7 katydids.

Step-by-step explanation:

Answer:

9 mi

Step-by-step explanation:

V = 1385.44 mi³, radius r = 14/2 = 7 mi, find h

Use V = πr²h

1385.44 = 3.14 * 7² * h = 153.86 h

so

h = 1385.44/153.86 = 9 mi

Answer:

05:45, 15 is a quarter of an hour.

Answer:

5:45 15 minutes is a quarter of an hour

Answer:

(D) 9 Trips

87 / 10 = 8,7, so it takes at least 9 trips