The radius of the circle with a central angle of 2 radians that intercepts an arc with length 99 cm is
cm

Answers

Answer 1

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=99 \end{cases}\implies 99 = r(2)\implies \cfrac{99}{2}=r\implies 49.5=r[/tex]


Related Questions

Help picture below problem 4

Answers

Answer:

The answer is A

Step-by-step explanation:

A pentagon is a polygon that has 5 sides and 5 vertices.

(QUICK!)Please answer this question, explain and show your work for brainliest! (systems of equations, either using elimination or substitution method!)

Answers

Answer:

Step-by-step explanation:

y = - 7x ......... (1)

- 14x - 2y = 0 ....... (2)

- 14x - 2y = 0 ⇒ y = - 7x

(1) and (2) are equivalent ⇒ system has infinitely many solutions

[50 points!]

Find P (Freshman | Boy)

Hint:
P(A and B)/P(B)

Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.


Answers

Answer:

1/3

Explanation:

P(Freshman | Boy)

Freshman = 4Boy = 12

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3

Answer:

[tex]\sf \dfrac13[/tex]

Step-by-step explanation:

From the table:

Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]

30x³ + 10x²
Help me please ​

Answers

Question: Factorise the function ⇒ [tex]30x^3+10x^2[/tex]

Definition of Factorize:  it is an algebraic expression that means writing the given expression as a product of its factor

        *basically you write the function in its simplest term where you cannot

          simplify it further

So:

     [tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]

Answer:  [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]

Hope that helps!

Four grade levels need equal time for indoor recess and the gym is available for three hours . How many hours of recess will each grade level receive​

Answers

1 hour = 60 minutes
3 hours = 180 minutes

180 minutes divided by 4 grade levels = 45 minutes per grade level.

45 minutes x 4 classes = 180 minutes total

Each grade level will receive 45 minutes in the gym equally.

Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches

Answers

Answer:

C

Step-by-step explanation:

the surface consists of

3 front squares

3 back squares

2 right side squares

2 left side squares

2 top squares

2 bottom squares

that means we have in total 14 squares.

one square is 4×4 = 16 in²

so the total surface area is

14 × 16 = 224 in²

[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]

Answers

[tex]\bold{Heya!}[/tex]

Your answer to this is:

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

→ EXPLANATION :-

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]

[tex]\sf{Apply \: rule:} \: (a) = a[/tex]

[tex]\sf{(1) = 1[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]

[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]

[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

at a certain wedding, 14/25 of the guests were over 25 years old.
Rewrite the fraction in the sentence below as a percentage.

Answers

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

WORTH 1 POINT
GIVING 15 POINTS AWAY
HELP PLS!!!!

Answers

Answer:

y = 29

Step-by-step explanation:

Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.

4y-8 = 79+y

-79     -79

4y-87 = y

-4y       -4y

-87 = -3y

Divided by -3

29 = y

Answer is Y= 29
You’re welcome

The pH of sea water is 7.6 and the PH of milk of magnesium is 10.5. 1.What are the hydrogen ion concentrations of each? 2.How many times great is the hydrogen ion concentration of the sea water than of milk of magnesium?

Answers

Answer:

2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater

Step-by-step explanation:

We're trying to find the concentration of H+ in the solution using the pH, so

let's define pH first.
pH=-log(H+)

This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)

The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8

The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11

To compare how much more the concentration of the hydrogen ion is, we just divide

(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.


In a triangle ABC, a = 13. b = 11 and c = 15. Solve the triangle.

Answers

Answer:

169 + 121 = 225

Step-by-step explanation:

It is not a right triangle
A squared + b square should equal c squared.
169 + 121 = 290

which combinations hold the same amount of liquid as an 8-pint bowl

Answers

The correct answers are C, D, and E.

1 quart = 32 fl oz
1 pt = 16 oz

Using these conversions you will multiply the number of quarts or pints by the number of ounces in each and then add the totals together to find if they equal 128 oz.

C. 4 x 32 = 128 oz
D. 2 x 32 + 8 x 8 = 128 oz
E. 3 x 32 + 2 x 16 = 128 oz

What is answer of D rounded to the nearest tenth

Answers

In triangle EFG,
4^2+3^2=EG^2 (pyth. Theorem)
16+9=EG^2
25=EG^2
5=EG//

In triangle EGC,
EG^2+GC^2=EC^2 (pyth. Theorem)
5^2+2^2=EC^2
25+4=EC^2
29=EC^2
5.4=EC (cor. to nearest tenth)//

What is the value found using the linear​ approximation? ln(0.93) ≈

Answers

Answer:

I think its 0.9 I believe so

Explain the difference between yi and ŷi.

Answers

Answer:

Down:

Step-by-step explanation:

Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.

1. Mlla's cranbenyulce recipe uses 3 cups of water and 1 cup of cranberry concentrate.
Enter the percentage of the cranberry Juice recipe that is water.
126

Answers

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

Please mark as brainliest!

Instructions: Drag the correct term for
this definition.
The perpendicular bisectors of the
sides of a triangle intersect in a
point that is equidistant from the
vertices.

Answers

Answer:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

If you can please give brainliest thank you <3

Step-by-step explanation:

Business mathematics.

Mr Kula opens a shopfront where he will lend money to anyone ( without security) if they are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows $5000 to buy a used car, but is unable to pay Mr Kula back for 12 weeks. How much will the customer have to pay back at this time?

Answers

Answer:

$6200

Step-by-step explanation:

2% of $5000 = $100

So that's a hundred dollars per week

12 weeks x $100 = $1200

$5000 (The original amount the first customer borrowed)

+ $1200 (The interest rate)

= $6200

(P.S. Please give me a brainliest if you can)

solve for the missing side!
please be quick i will give brainlist

Answers

Answer:

15m

Step-by-step explanation:

You need to do the Pythagorean Theorem:

a^2 + b^2 = c^2

*(The ^ is meaning to a power or squared in this case)*

You are solving for c which is the hypothenuse!

12^2 + 9^2 = c^2

144+81 = c^2

225 = c^2  *(The opposite of squaring something is the square root)*

c= The square root of 225

That shall be simplified to 15

According to Pythagoras theorem

Base² + perpendicular ² = Hypotenuse ²

12² + 9² = H²

144 + 81 = H²

225 = H²

H = √225

H = 15

Hypotenuse = 15m

HOPE IT HELPS :)


Using proportions to solve for missing sides.
BCD~GEF, find BD.

Answers

Answer:

  BD = 19

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so we have ...

  BD/GF = BC/GE

  (2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram

  17(2x -7) = 19(x +4) . . . . . . . . multiply by 969

  34x -119 = 19x +76 . . . . . eliminate parentheses

  15x = 195 . . . . . . . . . add 119-19x

  x = 13 . . . . . . . . . . divide by 15

  BD = 2(13) -7 . . . . use the found value of x in the expression for BD

  BD = 19

Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2.

Answers

Answer: 7lb

Step-by-step explanation:

The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb

Total area of garden = 36 ft²

Total amount of gravel used = 252 lb

The amount of gravel used to cover each ft² of the garden can be calculated thus :

(Total amount of gravel used) ÷ (Total area of garden)

252 ÷ 36 = 7 lb

Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb

Answer:

See below

Step-by-step explanation:

D o you want pounds / sq foot ?

252 lbs / 36 ft^2 =   7 pounds per square foot

Perform the indicated operation: (x3 – 3x + 1) – (x3 + 7 – 12x).

Answers

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]

Please help me asap I’ll mark brainly

Answers

Answer: 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

first box (far left)  should be 1/6

second box should be 24

third box (far right on first equation) should be 10

p = 24

Calculating the Surface Area of Prisms
4 yd
2 yd
5 yd.
3 yd
3 yd.
Find the surface area of the prism above.
I need help please someone!!

Answers

the answer you are going to select is 4yd
Answer:

360 yd

Multiply all numbers to get 360 yd

When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?

Answers

Answer:

A) 6.66% B) It's a decrease

(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)

The other person who answered is correct

Which of the following is true the
longer the term of the loan and the
longer it takes to pay it back?
A. The less you will pay in interest costs.
B. The more you will pay in interest costs.
C. The less it changes the amount you pay.
D. The quicker you will pay back the money you owe.

Answers

Answer:

the more you will pay in interest cost

Solve: 2^3x-5*a^x-2=2^x-2*a^1-x​

Answers

Answer:

The value of "a" is 1/2.

You can also check the answer by putting the value of a in the given equation...

if u need it let me know

Sushil was thinking of a number. Sushil halves the number and gets an answer of 61.4. Form
an equation with x from the information.
X

Answers

61.4⋅2=x
x=122.8

hope this helps!

time as 3 meters of yarn. How many centimeters of yarn does Tim have?​

Answers

1 meter is 100 centimeters. So time has 300 centimeters of yarn.
(3 meters) x (100 centimeters) = 300 centimeters.

if a man is 6"2 in height and shrinks 3 inches how tall is he now?

Answers

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

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