Lillian drew a design inside a circle.
Which measurement is closest to the
circumference of the circle?
F 25 cm H 50 cm
G 40 cm
J 32 cm

Answer:

Option B = 25.5 ft

Step-by-step explanation:

Circumference = 80 ft

C = 2πr

80 = 2 * (22/7) * r

80 = (44/ 7) *  r

So, Radius (r) = 80 * (7/44)

        = 12.72 Feet

--> Diameter = 2r = 2 * 12.72    

= 25.45 Feet

Therefore, Answer = Option B = 25.5 Feet (Round off)

Answer:

(−4,−2)

Step-by-step explanation:

hope this helps

Answer:

[tex]Total = \$7800[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$32.50[/tex] per square yard

[tex]Length = 432.0ft[/tex]

[tex]Width = 5.0ft[/tex]

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

[tex]Area = Length * Width[/tex]

[tex]Area = 432.0ft * 5.0ft[/tex]

[tex]Area = 2160ft^2[/tex]

Convert to square yard

[tex]Area = \frac{2160yd^2}{9}[/tex]

[tex]Area = 240yd^2[/tex]

The cost is then calculated as:

[tex]Total= Area * Unit\ Cost[/tex]

[tex]Total = 240 * \$32.50[/tex]

[tex]Total = \$7800[/tex]

Find BC

AC^2=AB^2+BC^2

20^2=16^2+BC^2

400=256+BC^2

BC=√(400-356)

BC=12

Use SOHCAHTOA

Sine A=12/20=3/5

COS A=16/20 =4/5

TAN A=12/16 =3/4

For the given triangle the statement that is true for length x is -

x < 9

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The length of 1 side is = 5 units

The length of second side is = 4 units

A key geometrical concept that connects the lengths of a triangle's sides is the triangle inequality theorem.

It stipulates that the length of the remaining side must be greater than the sum of the lengths of any two sides of a triangle.

The triangle inequality theorem can be written out as follows if a, b, and c are the lengths of a triangle's sides:

b + c > a

a + c > b

b + a > c

Since the sum for the given triangle is 5 + 4 = 9

So, the third side must be less than 9.

Therefore, the inequality is x < 9.

To learn more about triangles from the given link

https://brainly.com/question/25215131

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Answer:

(-1,5)

Step-by-step explanation:

Solve the following system:

2 y + x = 9 | (equation 1)

2 y + 3 x = 7 | (equation 2)  

Subtract equation 2 from equation 1:

( 2 y + x ) - ( 2 y + 3 x ) = 9 - 7

- 2 x = 2

x = - 1

Substitute into question 1:

2 y - 1 = 9

y = 5

Answer: x = -1 , y = 5

Answer:

Answer:

3/5

Step-by-step explanation:

Given

[tex]\frac{3}{500} \%[/tex]

Required

Represent as fraction

To do this, we simply multiply 3/500 by 100

[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]

[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]

So, the fraction is 3/5

Answer:

[tex]3tan(2x+15)=4\\or, \frac{tan2x+tan15}{1-tan2x.tan15} =\frac{4}{3}\\or, 3tan2x+3tan15=4-4tan2x.tan15 \\or, 3tan2x+4tan2x.tan15=4-3tan15\\or, tan2x(3+4tan15) = 4-3tan15\\or, tan2x = \frac{4-3tan15}{3+4tan15}\\or, 2x =tan^{-1}(\frac{4-3tan15}{3+4tan15})\\or, x = \frac{tan^{-1}(\frac{4-3tan15}{3+4tan15})}{2} = 19.06505118 (approximate)\\[/tex][tex]Note: tan30 = \frac{2tan15}{1-tan^{2}15}\\or, \frac{1}{\sqrt{3} } = \frac{2tan15}{1-tan^{2}15}\\or, 1-tan^{2}15 = 2\sqrt{3}tan15\\or, tan^{2}15+2\sqrt{3}tan15-1=0\\Solve~using~the~quadratic~formula~to~get~tan15^o=2-\sqrt{3}.[/tex]

Answer:

B. 4(3-y) is the answer

Answer:

=−1/2

=3/2

Step-by-step explanation:

Answer:

x = -1/2

x = 3/2

Step-by-step explanation:

4x² - 4x = 3

Subtract 3.

4x² - 4x - 3 = 0

Factor by grouping.

(2x + 1)(2x - 3) = 0

2x + 1 = 0

2x - 3 = 0

x = -1/2

x = 3/2

good luck, i hope this helps :)

Answer:

$39500

Step-by-step explanation:

104%-41080

1%-395

last year's salary=395*100=39500

Answer:

the fraction answer would be 6/10, simplified it would be 3/5

if the question is asking for the decimal than it would be 0.6

hope these are the answers you are looking for

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer:

430.2857...

Step-by-step explanation:

Answer:

[tex]3.012[/tex] ÷ [tex]7[/tex] = 430.285

Answer:

In two weeks she eats 28 pieces

Step-by-step explanation

Lets say she ate one per day, if its asking you how many you ate in two weeks, that would be 14 candies. But if she ate 2 per day all you have to do is add 14+14 to find out how many she ate in two weeks.

Answer:28 candies

Step-by-step explanation:

So Chrissy eats 2 each day and we need to find how many candies she eats in two weeks also in weeks there is 7 days plus another week would be 14 basically convert the 2 weeks into days (7+7).Now we need multiply since she eats 2 each day how many candies she eats in two weeks also in week so 2 x 14 =28

Therefore,she eats 28 candies in 2 weeks

Answer:

78

Step-by-step explanation:

37-71

2538

37003-221

35303

Answer:0.8 feet

Step-by-step explanation:got it right

Answer:

2 times became that's correct

Answer:

It should be the third option.

Step-by-step explanation:

The second expression is 2(3x+1)

Just substitute 2 as x.

2(3(2) + 1)

2(6 + 1)

2(7)

14

Since both expressions are equal to 14, both expressions are equivalent.

Answer:

x+3x+90=180(sum of angle of triangle)

4x=180-90

x=90/4=22.5

m<T=3×22.5=67.5°

m<v=22.5°

Answer:

Step-by-step explanation:

By angle sum of triangle:

3x+x+90=180

x=22.5

Angle T = 3x=3(22.5)=67.5

Angle V = x = 22.5

Answer:

14

Step-by-step explanation:

The nearest time period for Zachary to reach the amount is 14 years.

Compound interest is the interest on a deposit or loan calculated based on the initial principle, and the collective interest from previous periods.

For the given situation,

Principle, [tex]p=\$700[/tex]

Interest rate, [tex]r=4.9\%[/tex][tex]=0.049[/tex]

Amount, [tex]a=\$1360[/tex]

Compounded continuously, [tex]n=1[/tex]

We have to find the time period, [tex]t[/tex]

The amount formula of compound interest, [tex]a=p(1+\frac{r}{n} )^{nt}[/tex]

On substituting the values,

[tex]1360=700(1+\frac{0.049}{1} )^{1t}[/tex]

Divide by [tex]700[/tex] on both sides,

⇒[tex]\frac{1360}{700}=\frac{700}{700} (1+0.049 )^{t}[/tex]

⇒[tex]1.94=(1.049)^{t}[/tex]

Taking log on both sides,

⇒㏒[tex]1.94[/tex]=[tex]t[/tex]㏒[tex]1.049[/tex]

⇒[tex]0.28=0.020t[/tex]

Divide by [tex]0.020[/tex] on both sides,

⇒[tex]\frac{0.28}{0.020}=t[/tex]

⇒[tex]t=14[/tex]

Hence, the time period is 14 years.

Learn more about compound interest here

https://brainly.com/question/24924853

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Answer:

Step-by-step explanation:

given

6n - 10

Take 2 as common then

2 ( 3n - 5 )

hope it helps  :)

Answer:

2(3n-5)

Step-by-step explanation:

You need to find the highest common factor (2 in this case).

When the word factorise is mentioned that means there has to be brackets in your answer.

After the highest common factor is found then divide the numbers by it. for example, 6÷2 and -10÷2.

Hope that helps!!

Answer:

(2,3,4,5,6,7)

6

Step-by-step explanation:

I thought I'm wrong ...

Answer:

2x+6 or 2 ( 3x + 1 )

Step-by-step explanation:

Answer:

x=15√2

Step-by-step explanation:

15²+15²=c²

225+225=c²

450=c²

√450=c

√9x25x2=c

√9x√25x√2=c

3x5x√2=c

15√2=c

(Or you could use the 45-45-90 rule for triangles to get the same thing).

Answer:

120

Step-by-step explanation:

Above 44 years ----> 45 to 84.

44 - 64   range 70 are there

65 to 84 range 50 are there

Totally 70 + 50 = 120

 120 residents

Answer:

3⁵

Step-by-step explanation:

Hope it helps you..........