A circle of radius 90 inches has a central angle that intercepts an arc of length 120 inches. Explain whether the measure of the central angle is 34 radians


A. The measure is not 34 radians. The measure is 32 radians because the angle measure in radians is the diameter divided by the arc length.


B. The measure is not 34 radians. The measure is 43 radians because the angle measure in radians is the arc length divided by the radius.


C. The measure of the angle is 34 radians because the angle measure in radians is the radius divided by the arc length.


D. The measure is not 34 radians. The measure is 23 radians because the angle measure in radians is the arc length divided by the diameter.

Answer:

Step-by-step explanation:

From the first set 20 corresponds to 1/6

for a fraction of 2/3 = 4/6

thus 4 * 1/6 = 4 * 20 = 80 calories

For 10 calories,

20 * 1/2 = 10 calories thus

1/6 * 1/2 = 1/12

For 90 calories,

10 * 9 = 90 calories thus,

1/12 * 9 = 9/12 = 3/4

Answer:

3520 pounds

Step-by-step explanation:

First, we have to find how many pennies equal 2.2 lbs

By seeing that 1 penny equals 4 grams, we can divide 4 into 1,000

By doing this we can find out how many pennies equals 2.2 lbs

It is 250 pennies per 2.2 lbs

Now, it wants 400,000 pennies

So we can do 400,000/250

Which is 1600

1600*2.2 is 3520

So the answer is 3520 pounds

Answer:

AB is 104

Step-by-step explanation:

In the given figure

∵ CE bisects the segment AB

→ That means CE intersects AB at the midpoint of AB

∵ CE ∩ AB at point F

∴ F is the midpoint of AB

→ The midpoint of a segment divides it into two equal parts

∵ The point F divides AB to FA and FB

∴ FA = FB

∵ FA = 7x + 10

∵ FB = 9x - 2

→ Equate them

∴ 9x - 2 = 7x + 10

→ Add 2 to both sides

∵ 9x - 2 + 2 = 7x + 10 + 2

∴ 9x = 7x + 12

→ Subtract 7x from both sides

∵ 9x - 7x = 7x - 7x + 12

∴ 2x = 12

→ Divide both sides by 2

∴ x = 6

→ Substitute the value of x in FA and FB

∵ FA = 7(6) + 10 = 42 + 10 = 52

∵ FB = 9(6) - 2 = 54 - 2 = 52

∵ AB = FA + FB

∴ AB = 52 + 52 = 104

∴ AB = 104

Answer:

x=0

Step-by-step explanation:

Key skills needed: Proportions, Cross multiplication, One variable Equations, Multiplication

1) Since this is a proportion, we need to cross multiply. A proportion is just 2 fractions equal to each other in this format.

---> Cross multiplication is when you multiply the first fraction's numerator by the second fraction's denominator, and you multiply the first fraction's denominator by the second fraction's numerator.

---> You set these products equal to each other.

2) So if we cross multiply it would be: 3(3x+5) = 5(3-2x)

---> If you multiply everything out, it would be --> 9x + 15 = 15 - 10x

3) Move the x terms to one side and the numbers to the other side

--->  9x + 10x = 15-15

4)  Combine like terms (9x+ 10x= 19x) (15-15=0) 19x = 0

5) Divide by 19 and x=0.

Hope you understood and have a nice day!! :D

Answer:

No

Step-by-step explanation:

Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

Answer:

No it cannot

Step-by-step explanation:

the sum of the angles of the triangles has to be 180 so if you have two right angles then the last angle has to be 0 which is not possible

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

Answer:

The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2. With this knowledge, you can rewrite the formula for the area of a circle as A = π (d/2)2.

Step-by-step explanation:

Answer:

a man owe a debt of 99 naira

naira pays = monthly installments =2.50

how many years would take him to finish the paying the debit

5years

It would take 3 years for him to finish paying the debt.

Given that,
A man owes a debt of 90naira and has to pay back monthly installments of 2.50.
it is to be determined how many years would it take him to finish paying the debt​.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total loan amount = 90
monthly installment = 2.50
Total months for installments = 90 / 2.20 = 36
Total years = number of months / months in ayear = 36 / 12 = 3

Thus, it would take 3 years for him to finish paying the debt.

Learn more about arithmetic here:

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Answer:

1.10

Step-by-step explanation:

1 pound and 1/2=1.65

1/3 of 1.65 is 0.55.

1/2 is 0.55

so 1 pound is 0.55 times 2 which is 1.10

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Answer:

22___16___38

29___9___38

51___25___76

Step-by-step explanation:

22+_=_

29+9=_

_+25=_

_______________________________

22+_=_

29+9=38

_+25=_

________________________________

22+16=_

29+9=38

_+25=_

________________________________

22+16=38

29+9=38

_+25=_

________________________________

22+16=38

29+9=38

51+25=_

________________________________

22+16=38

29+9=38

51+25=76

Answer:

Exact Form:

2 √ 17

Decimal Form:

8.24621125 …

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

1/2 is the answer.............................

Answer:

Step-by-step explanation:

Ok so all you have to do is find the slope.

0-10=  -10

---------  ---

-10-10=-20

so the slope i believe is 1/2

Answer:

83

Step-by-step explanation:

Solve using order of operations

First do the parentheses

8+3(20+5) -----> 8+3(25)

Then Multpily

8+3(25) -----> 8+75

Then add

8+75 =83

Answer:

D

Step-by-step explanation:

The given sheet of paper is folded horizontally, thus a pattern with respect to the fold is formed inside the paper. This pattern would in the form of two lines crossing each other at right angles.

To illustrate a reflection over the fold of the card, the pattern in option D could be used as the center of the invitation.

Therefore, the correct option is D.

Answer:

i hope this helpss

Step-by-step explanation:

Answer:

38.46%

Step-by-step explanation:

there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection

out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%

9514 1404 393

Answer:

  b.  (-3, 1)

Step-by-step explanation:

Quadratic (or any higher-degree) inequalities are nicely solved from their factored form. The factors tell you where the function is zero. Their signs tell you whether the product is greater than or less than zero.

Here the factor (x-1) tells you the function is zero at x=1, where this factor is zero. For values of x > 1, this factor is positive.

The  factor (x+3) tells you the function is zero at x=-3, where this factor is zero. For values of x > -3, this factor is positive.

Now we know the signs of the factors are the same for x < -3 (both negative) and for x > 1 (both positive). Between these values, the factors have different signs, so the function value is negative. This interval (-3, 1) is the interval that is the solution to ...

  (x -1)(x +3) < 0

Answer:

false

false

false

...............

The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

A differential equation is an equation that contains one or more functions with its derivatives.

The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.

The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.

[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]

This limit function is false.

[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]

This limit function is false.

[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]

This limit function is false because it should be positive.

Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

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Answer:

20inches

Step-by-step explanation:

base times height

2 times 10 is 20

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Answer:

✐ [tex] \underline{ \underline{ \sf{Given \: values}}} : [/tex]

✐ [tex] \underline{ \underline{ \sf{ \: To \: find : }}}[/tex]

[tex] \sf{Plug \: the \: given \: values} : [/tex]

⟼ [tex] \tt{ - 8 \times \frac{1}{4} \times 6}[/tex]

⟼ [tex] \tt{ \frac{ - 8 \times 1 \times 6}{4}} [/tex]

Remember : Multiplying negative integer by positive integer gives a negative integer.

⟼ [tex] \tt{ \frac{ - 48}{4} }[/tex]

Remember : Dividing negative integer by positive integer gives a negative integer.

⟼[tex] \sf{ \boxed{ - 12 }}[/tex]

[tex] \red{ \boxed{ \boxed{ \bold{ \purple{\tt{Our \: final \: answer : - 12}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♪

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]-12[/tex]

Step-by-step explanation:

Given that:

[tex]a=\frac{1}{4} \\b=6[/tex]

To evaluate the expression [tex]-8ab[/tex], we must simply substitute the given values into the expression, and solve:

[tex]-8(\frac{1}{4} )(6)[/tex]

Multiply [tex]-8[/tex] and 6:

[tex]-48*\frac{1}{4}[/tex]

Cross-cancel by dividing [tex]-48[/tex] and [tex]4[/tex] by [tex]4[/tex]:

[tex]-\frac{12}{1} *\frac{1}{1}[/tex]

Multiply:

[tex]-12[/tex]

Answer: UT

Step-by-step explanation:

Not sure but side BC is more elevated and looks similar to side UT in the other shape.

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

∵ The investment is $40000

∴ P = 40000

∵ The simple interest is $8000

∴ I = 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

∴ r = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

∵ 8000 = 40000 × 0.05 × t

∴ 8000 = 2000t

→ Divide both sides by 2000

∴ 4 = t

∵ t is the time of investment

∴ It will take 4 years

Answer:

Rational

Step-by-step explanation:

The number comes to a stop (doesn't keep going), so it would be rational.

Answer:

3.5 is a rational number

Step-by-step explanation:

Irrational numbers are numbers that keep on going forever like pi (π). Or numbers like these.....[tex]\sqrt{72} , \sqrt{2} , \sqrt{\frac{8}{23} }[/tex]

Those are non-recurring numbers and non-terminating decimal numbers

Rational numbers are numbers that can be written as a simple fraction or ration, and 3.5 can be written as a simple fraction...

7/2 = improper fraction (3.5 as a decimal)

3 1/2 = mixed number (3.5 as a decimal)

Hope this helped!

Answer:

28/3 or 9.3333

Step-by-step explanation:

2/9 + 82/9= 28/3

Answer:

=- 11/5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

rate of change of function not necessary mean linear, it can be the slope of a tangent line.

a: y=8x+3    slope = 8

b: rate of change: 1

8-1=7

I wish this is true...

Answer: I hope you feel better.