In circle E with m \angle DEF= 70m∠DEF=70 and DE=13DE=13 units find area of sector DEF. Round to the nearest hundredth.

Answers

Answer 1

Answer:

103.18units³

Step-by-step explanation:

Area of the sector DEF = theta/360 * πr²

r is the radius

theta is the angle subtended at the centre

theta =70 degrees

radius DE = 13units

Substitute

Area of the sector = 70/360 * 3.14(13)²

Area of the sector = 7/36 * 530.66

Area of the sector = 3,714.62/36

Area of the sector = 103.18units³ (to the nearest hundredth)

Answer 2

Answer: 103.24

Step-by-step explanation:


Related Questions

Help me y'all i really need help

Answers

Answer:

that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D

Step-by-step explanation:

733 times 60 and work it out on your asnwcer plzz

Answers

Answer:

733 x 60 = 43,980.

Step-by-step explanation:

Another way to do this equation is by adding 733 by itself 60 times.

Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Answers

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did Angela payoff the couch?

Answers

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1

Answers

Answer:

R=x = R= −2 =x =6 =R =x =− 3=

Step-by-step explanation:

The drama club is ordering t-shirts for its members. A local t-shirt company charges $83.95 to set up the design plus $7.45 for each shirt. The drama club has budgeted $300 to spend on t-shirts.

Write an equation that you could solve to find the maximum number of shirts the drama club can order. Be sure to define your variable.​

Answers

Answer:

The max # of shirts they can order is 29

Step-by-step explanation:

300 = 83.95 + 7.45x

216.05 = 7.45x

x = 29

Answer:

Step-by-step explanation:

83.95+7.45=  91.4

so they have

300

- 91.4

--------

208.6

so after they still have money left

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance

Answers

Answer:

9.5

Step-by-step explanation:

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.

Step 1

We find the Mean of the numbers

Mean = Sum of terms/ Number of terms

Mean = 9+12+9+14+6/5

= 50/5

= 10

Step 2

We find the sample variance

Formula =

(x - Mean)²/n - 1

n = 5

= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1

= 1+ 4+ 1+ 16+16/5 - 1

= 38/5 - 1

= 38/4

= 9.5

Therefore, Sample variance = 9.5

Which of the following numbers are greater than 6 and less then 8? Explain how you know. ??????

Answers

Answer:

7 is the answer

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

when you put it into a calculator it equals 7.74596669241

which is more than 6, but less than 8

can u help me with this ​

Answers

Answer:

245 degrees

Step-by-step explanation:

The circle is 360 degrees and you have only found 55 and 60  you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.

Answer:

120 degree

Step-by-step explanation:

jn-60 vwrtical oopsite angle

nk 180

jk 180-60

sum1 help
me!!!!!!!!!!!

Answers

That and is 13 hope it right

What is the measure of angle A?

Answers

Answer:

∠ A = 35°

Step-by-step explanation:

The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.

minor arc = 145°

major arc = 360° - 145° = 215°

Then

∠ A = [tex]\frac{1}{2}[/tex] ( 215 - 145) = [tex]\frac{1}{2}[/tex] × 70° = 35°

Help ASAP! use the second image attached to answer!

Answers

Answer:

only the circle graph

Step-by-step explanation:

Answer:

Only the graph

Step-by-step explanation:

Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you

Which of the following correctly names a side of the triangle below?
А. 20
В. ДАВС
C. B

D. AB

Answers

The answer is AB.
I think no that is right

what's the surface area ratio & the volume ratio??

please help me ASAP!!

Answers

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]

2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]

3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]

Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]

                         [tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]

                         [tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]

                         [tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]

                        [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

                                      ≈ 6 : 7

Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]

                                                   = [tex]\frac{36}{49}[/tex]

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]

                                                             = [tex]\frac{216}{343}[/tex]

                                                             ≈ 216 : 343

What is the median of the numbers 1,3,3,4,4,4,5,5,6,7,7,7
Please help quick giving 20 points

Answers

Answer:

4.5

Step-by-step explanation:



[tex] \sqrt{72} [/tex]
whats the answer​

Answers

6^2- 6 square root 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\sqrt{72}}[/tex]

[tex]\mathsf{\sqrt{36\times2}}[/tex]

[tex]\mathsf{\sqrt{36}\ \sqrt{2}}[/tex]

[tex]\mathsf{\sqrt{36}=\bf 6}[/tex]

[tex]\mathsf{\sqrt{2}=\bf 2}[/tex]

[tex]=\bf\ 6\sqrt{2}[/tex]

[tex]\mathsf{\sqrt{71}\approx\bf 6\sqrt{2}}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\sqrt{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.

5 degrees above zero

3 degrees below zero

6 degrees above zero

2 3/4 degrees below zero

Answers

5 degrees above is 5°F
3 degrees below is -3°F
6 degrees above is 6°F
2 3/4 below is -2.74°F

Juicy's business Sweet Sauce is profiting at a rate 20,000 dollars per month. The starting balance in Sweet Sauce's account for 2020 was $50,000. How much money will be in Sweet Sauce's account after July 31st? Write an equation for this problem and answer the question. How much money will be in the account after 2 years?

Answers

Answer:

-The equation for this problem is:

y=50,000+20,000x

-The money in Sweet Sauce's account after July 31st is $190,000

-The money in the account after 2 years is $530,000.

Step-by-step explanation:

With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:

y=50,000+20,000x, where:

y is the money in the account

x is the number of months that have passed

Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:

y=50,000+(20,000*7)

y=50,000+140,000

y=190,000

Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:

y=50,000+(20,000*24)

y=50,000+480,000

y=530,000

what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?

Answers

Answer:

i cant estimate it but i think 4

A die is rolled 30 times. How many times can you expect it to land on a number less than 5?

Answers

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

Which speed is the fastest?
4 miles in 1/3 hour
1/3 mile in 4 hours
1/2 mile in 3 hours

Answers

Answer:

4 miles in 1/3 hour

Step-by-step explanation:

Answer: 4 miles in 1/3 hour

A man’s estate is valued at $150,000. It is to be divided so that his wife receives twice as much as his son. How much does his son inherit? A. $5,000 B. $50,000 C. $75,000 D. $100,000

Answers

Answer:

B is the answer

Step-by-step explanation:




Find the area of a rectangle with a base of 5 feet and a height of 9.5
feet. *

Answers

Answer:

47.5 ft^2

Step-by-step explanation:

5x9.5 = 47.5 ft^2

47.5 ft^2 should be it

Solve for the x.
Assume the segments that appear to be tangent are tangent.

Answers

4.5 i think im really not sure check with someone else before answering

what's the correct answer??​

Answers

Answer:

Volume of the larger one = 476.5625

Step-by-step explanation:

Remark

This is a terrific little problem. Thanks for posting. I hope the answer is still useful to you. If the cylinders are similar it means that r and h are multiplied by a constant when moving from the smaller cylinder to the larger one. Everything else, believe it or not, remains the same.

Equations

Surface area of the smaller cylinder = 2pi*r^2 + 2pi*r*h

Surface area of the larger cylinder = 2*pi*(kr)^2 + 2pi*(kr)*(kh)

Surface area of the larger cylinder = k^2 (2*pi*r^2 + 2pi* r*h)

Solution

Surface area of the larger cylinder = k^2 (2pi*r^2 + 2pi*r*h)

=============================      ==================

Surface area of the smaller cylinder         (2pi*r^2 + 2pi*r*h)

surface area of the larger cylinder = k^2

surface are of the smaller cylinder = 1

200 / 128 = k^2 / 1      Divide the top and bottom of the left by 8

25 / 16 = k^2               Take the square roots of both sides

sqrt(25/16) = sqrt(k^2)

5/4 = k

Now work on the volume.

The volume of the larger cylinder = pi (kr)^2 (kh) = k^3 * pi * r^2 h

The volume of the smaller cylinder =                                pi * r^2 h

The volume of the larger cylinder to the smaller one = k^3 = 1.953125

x / 244 = 1.953125       Multiply both sides by 244

x = 1.953125 * 244

x = 476.5625

Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)

Answers

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation

HELP giving brainlest and more points

Answers

Answer:

[tex]8^{-5}[/tex]

Step-by-step explanation:

[tex](8^{-8})(8^3)\\8^{-5}[/tex]

Exponent equation:

3 - 8 = -5

So this the remaining exponent

Which is Not a congruence statement

Answers

Answer:

<B=<D

Step-by-step explanation:

This is becasue angle B is 90 degrees while angle D is 29 degrees.

the answer is a. if you look at the angles B and D they are not congruent

Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?

Answers

Answer:

blue:total

14:20

Answer:

14:20

Step-by-step explanation:

because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20

someone please help me​

Answers

9514 1404 393

Answer:

  C. f(x) = 2(3^x)

Step-by-step explanation:

The y-intercept is the function value when x=0. Your choices are ...

  A. f(0) = 1 +2 = 3

  B. f(0) = 3(1) = 3

  C. f(0) = 2(1) = 2 . . . . . the function of interest

  D. f(0) = 2(1) -2 = 0

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