A circle has a radius of 6 feet. Calculate the area of the
sector formed by a central 30° angle

Answer:

[tex]20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} [/tex]

Answer:

17/75

Step-by-step explanation:

The total number of candies = 8 caramels + 17 nougats = 25 candies

The probability that Jose drew 1 caramel and then 1 nougat without replacement = P(C) and P(N)

= 8/25 × 17/24

Further simplifying

= 1/25 × 17/3

= 17/75

Therefore, the probability that Jose drew 1 caramel and then 1 nougat without replacement is 17/75

Answer:

A. [tex]Log_p N = b \ and \ b^p = N[/tex]

Step-by-step explanation:

A. The given options are;

[tex]Log_p N = b \ and \ b^p = N[/tex]

For [tex]Log_p N = b[/tex] we have;

[tex]p^b = N[/tex]

However;

[tex]b^p = N[/tex]

Where, p ≠ b

[tex]p^b \neq b^p[/tex]

Therefore;

N ≠ N for the given pair and the pair are therefore, not equivalent

B. x = √y and [tex]x = y^{1/2}[/tex]

We note that

x = √y = [tex]y^{1/2}[/tex]

We have;

x = [tex]y^{1/2}[/tex], by transitive property

Therefore, the pair, x = √y and [tex]x = y^{1/2}[/tex] are equivalent

C. [tex]Log_b N = p \ and \ b^p = N[/tex]

From [tex]Log_b N = p[/tex], we have;

[tex]b^p = N[/tex]

Therefore, [tex]Log_b N = p \ and \ b^p = N[/tex] are equivalent pairs as [tex]b^p = N[/tex] can be obtained from [tex]Log_b N = p[/tex]

D. ㏑x = y and x = [tex]e^y[/tex]

[tex]ln \ x = ln_e \ x = y[/tex], therefore, by rules of logarithm, we have;

x = [tex]e^y[/tex]

Therefore, ㏑x = y and x = [tex]e^y[/tex] are equivalent pairs, as x = [tex]e^y[/tex] can be obtained from ln x.

Therefore;

The option which are not equivalent pair is option is [tex]Log_p N = b \ and \ b^p = N[/tex]

Answer:

C

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

x is the angle between line with 3 strokes and 2 strokes

The corresponding angle is therefore ∠ C

∠ C = 180° - (63 + 29)° = 180° - 92° = 88°

Then x = 88 → C

Answer:

Step-by-step explanation:

Outlier

Answer:

subject?

Step-by-step explanation:

Answer:

2) y = 0.5^x

Step-by-step explanation:

Plug in x coordinates to see which equation makes up the graph. We can see that the y values lower even after using positive numbers so this eliminates the possibility of 1) as that would make the y values increase. Starting with coordinates (-1, 2), let's plug these into 2):

y = 0.5^x

2 = 0.5^-1

2 = 2

Correct

Use another pair of coordinates to see if it still works:

(-2, 4)

4 = 0.5^-2

4 = 4

It does!

Check the other equations just to make sure this is the only option:

2 = 5^(- - 1)

Negative + Negative = Positive

2 = 5^1

2 = 5

Incorrect.

2 = 0.5^(- - 1)

2 = 0.5^1

2 = 0.5

Incorrect.

This means our first solution is the only solution.

From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.

We know that : Area of a square is given by : Side x Side

Given : Side of the square = 3 cm

⇒  Area of the square = 3 x 3 = 9 cm²

We know that : Area of the triangle = 1/2 x Base x Height

From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm

⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²

Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles

⇒  Surface area of the pyramid = 9 cm² + 4(4.5) cm²

⇒  Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²

Answer : Surface area of the pyramid = 27 cm²

Answer:

x = 88

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

Supplementary meaning that the sum of the two angle measures is 180

The opposite angle of "x" is ∠B which has a measure of 92°

Thus, 92 + x = 180

180 - 92 = 88

Hence, x = 88  

Step-by-step explanation:

your mom gives you 200 dollars to start your candy business. you earn 2 cents for every piece of candy you sell. how much money, b will you have if you've sold x candy

or

the product of .02 and x plus 200 equals b.

Answer:

b is equal to 200 plus the product of 0.02 and x.

Answer:

135

Step-by-step explanation:

so we need to find the volume of the rectangle

V= L x W x H

V = [tex]2\frac{1}{4}[/tex] x [tex]\frac{3}{4}[/tex] x [tex]1\frac{1}{4}[/tex] = [tex]\frac{135}{64}[/tex]

so now we need to find the volume of the cubes

V = a^3

1/4^3 = 1/64

so:

135/64 ÷ 1/64 = 135

SO135 CUBES :)

Answer:

4/23

Step-by-step explanation:

Probability of choosing a red marble = # of red marbles / total # of marbles

We are told that there are 4 red marbles and 19 blue marbles

So the # of red marbles = 4

And the total # of marbles = 4 + 19

4 + 19 = 23

So there are a total of 23 marbles

Recall that probability of choosing a red marble is equal to # of red marbles / total # of marbles

Hence, the probability of choosing a red marble is 4/23

Note: 4/23 is already in it's simplest form so no simplifying has to be done.

Answer:

14/33

Step-by-step explanation:

There are 14 red marbles and 19 blue marbles, meaning that there are 33 marbles in all:

14 + 19 = 33

You are randomly choosing a red marble out of the total amount of marbles. 14/33

Note that you cannot simplify the fraction anymore, and so 14/33 is your answer.

~

Answer:

-2

Step-by-step explanation:

See the image below:)

Answer:

[tex]x = - 2[/tex]

Step-by-step explanation:

[tex]x - 8 = - 10 \\ x = - 10 + 8 \\ x = - 2[/tex]

Answer:

g

Step-by-step explanation:

Answer:

Area  =  40mm

Example:

The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.

Example Problem :

Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?

Solution :

The given values

bottom length a = 15 cm

top length b = 12 cm

height h = 10 cm

Step by step calculation

formula to find area = ((a + b)/2) h

substitute the values

= ((15 + 12)/2) x 9

= 121.5 cm2

Answer:

15wy

Step-by-step explanation:

if toh take 19 and divide it by 16 that's how I got my answer on edunity

Answer:  no solution

Step-by-step explanation: 8-8/7 = 5/6  8. 42-8/7 .42=5/6 . 42  288=35

Answer:

C

Step-by-step explanation:

ggfvnjuygvvbnnjhyff ggrgbj

Answer: The answer Is C

Step-by-step explanation:

PLS GIVE ME BRAINLIEST

Answer:

9) 21

10) 70

11) 64

12) 31

13) 83

14) 31

Step-by-step explanation:

too easy!!

Answer:

The angles have measurements 36, 72, 108, 144, and 180.

Step-by-step explanation:

Pentagon has 5 sides and 5 angles.

The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.

3(180)=540 which is the sum of the angles in a pentagon.

So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.

We have the equation 1x+2x+3x+4x+5x=540 to solve.

15x=540

Divide 15 on both sides:

x=540/15

x=36

1x=36

2x=72

3x=108

4x=144

5x=180

The angles have measurements 36, 72, 108, 144, and 180.

Answer:

B, D

Step-by-step explanation:

Since the number in parentheses has 1 + interest rate, subtract by 1 to find rate, which is 0.0325 or 3.25%.

Since the principal is multiplied by the parenthesis, $500 is the principal.

Answer:

123.95-25=107.95    $150.00-35%=150.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Divide both sides by 6.

[tex]\frac{6x^2}{6}[/tex]   =   [tex]\frac{294}{6}[/tex]

[tex]x^{2}[/tex] = 49

Step 2: Take the square root.

x = [tex]\sqrt{49}[/tex]

x=7 (because 7×7=49

Answer:

40 :)

Step-by-step explanation: