a) find the measure of arc AB
b)find angle measure APC

According to the described situation, the appropriate set of hypotheses for Rodrigo's significance test are given by:

[tex]H_0: p_A - p_B = 0[/tex]

[tex]H_1: p_A - p_B \neq 0[/tex]

At the null hypothesis, it is tested if there is no difference between the locations, that is:

[tex]H_0: p_A - p_B = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is:

[tex]H_1: p_A - p_B \neq 0[/tex]

More can be learned about hypothesis tests at https://brainly.com/question/26454209

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex]12 \frac{3}{4} \times3[/tex]

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

[tex]12 \frac{3}{4} \times3[/tex]
[tex]12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{51}{4} \times\frac{3}{1}[/tex]
[tex]51\times3=153[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{153}{4}[/tex]

Convert the improper fraction back into a mixed number:

[tex]\frac{153}{4}[/tex]
[tex]\frac{153}{4} =153\div4=38\frac{1}{4}[/tex]
[tex]=38\frac{1}{4}[/tex]

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

The function A(n) = 22(1.1)^n-1 is an illustration of a geometric series

The sum of the 23rd through 40th terms of the series is 17.49

The nth term of the geometric series is given as:

[tex]A(n) = 22(1.1)^{n-1[/tex]

The nth term of a series is represented as:

[tex]A(n) = ar^{n-1[/tex]

So, by comparison;

We have:

[tex]a = 22[/tex]

[tex]r = 1.1[/tex]

The sum of nth term of a geometric progression is:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

Start by calculating the sum of the first 22 terms

[tex]S_{22} = \frac{22(1.1^{22} - 1)}{22 - 1}[/tex]

[tex]S_{22} = \frac{157.086}{21}[/tex]

[tex]S_{22} = 7.48[/tex]

Next, calculate the sum of the first 40 terms

[tex]S_{40} = \frac{22(1.1^{40} - 1)}{40 - 1}[/tex]

[tex]S_{40} = \frac{973.70}{39}[/tex]

[tex]S_{40} = 24.97[/tex]

Subtract S22 from S40

[tex]S_{40} - S_{22} = 24.97 - 7.48[/tex]

[tex]S_{40} - S_{22} = 17.49[/tex]

Hence, the sum of the 23rd through 40th terms of the series is 17.49

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Answer:

Step-by-step explanation:

Answer:

x = 28°

Explanation:

|| means parallel lines.

reason:

Alternate interior angles, so has same angle measure.

Answer:

64

Step-by-step explanation:

5*8+6*4

Step-by-step explanation:

248 min i think hope it helps

Answer:

83.6 cm

Step-by-step explanation:

Area = width x length

so 7.6 x 11

which is 83.6

Therefore, the area of the rectangle is 83.6 cm

hope this helps, give brainliest?

Answer:

18.6 should be ur answer!

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

9/15 = 3/5

35*3/5=105/3

105/3=21

Answer:

2.35

Step-by-step explanation:

divide by 1000

Using simple interest, it is found that the monthly payment for this loan is of $325.485.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, the parameters are A(0) = 8100, r = 0.0822, t = 2.5, hence, the total amount is:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 8100[1 + 0.0822(2.5)][/tex]

[tex]A(t) = 9764.55[/tex]

it will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:

M = 9764.55/30 = $325.485.

More can be learned about simple interest at https://brainly.com/question/25296782

Answer:

x = 49

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

Step-by-step explanation:

=> x + 10 = 59 { They are equal because they are vertically opposite angle }

=> x = 59-10

=> x = 49

=> x+10 => 49+ 10 => 59

Answer:

D

Step-by-step explanation:

Answer:

[tex]d)\ y=\frac{1}{3}x +2[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b\\y=\frac{1}{3}x +b[/tex]

(3, 3)

[tex]y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b[/tex]

[tex]y=\frac{1}{3}x +2[/tex]

Check your answer:

[tex]y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3[/tex]

This statement is true

Hope this helps!

The total cost of the triangular felt of the 24 square feet is 47.76 Dollars. Then the correct option is C.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course.

The base of the green is 4 feet wide, and the height is 12 feet.

The area of the triangle will be

[tex]\rm Area = \dfrac{1}{2}*base *height\\\\Area = \dfrac{1}{2}*4*12\\\\Area = 24[/tex]

The area of the triangle is 24 square feet.

The felt costs $1. 99 per square foot. Then the cost of 24 square feet will be

[tex]\rm Total\ cost = 1.99*24\\\\Total\ cost =\$ \ 47.76[/tex]

The total cost of the 24 square feet is 47.76 Dollars. Then the correct option is C.

More about the triangle link is given below.

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Answer:

x = 166°

Explanation:

|| means parallel lines.

reason:

Alternate interior angles, so has same angle measure.

Answer:

x = 166°

Step-by-step explanation:

Alternate interior angles are equal

Therefore, x = 166°

Answer:

No solution

Step-by-step explanation:

The slopes of both equations are identical (both being 2/3), therefore the only possible answers would be "infinitely many solutions" and "no solution". Because of the fact that the y-intercepts of the equations are different (-10 and 10) they two lines will never cross, meaning there is no solution.

Answer:

no solution

Step-by-step explanation:

[tex]\frac{2}{3} x - 10 = \frac{4}{6} x + 10[/tex]

Reduce the fraction:

[tex]\frac{2}{3} x - 10 = \frac{2}{3} x + 10[/tex]

Rearrange variables to the left side of the equation:

[tex]\frac{2}{3} x - \frac{2}{3} x = 10 + 10[/tex]

Apply the inverse property of addition

0 = 10 + 10

0 = 20

Based on the given conditions, the system of equations has no solution.

hope this helps!! p.s. i really need brainliest :)

Answer:

$9 was spent on books

Step-by-step explanation:

10% of 50 = 5

50-5 = 45

20% of 45 = 9

Answer:

$9

Step-by-step explanation:

Given:

You had $50

Spend 10% on clothes

Spend 20% rest on books

Solve:

$50 x 10% = 5

$50 - 5 = $45 [ Spend on clothes]

$45 x 20% = 9 [ Spend on Book]

Thus, Spend on books = $9

[RevyBreeze]

Answer: x=8in.

Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Answer:

x = 3

Step-by-step explanation:

there are 4 right triangles inside the quadrilateral

area of 4 triangles

= 4 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

= 4 × [tex]\frac{1}{2}[/tex] × 8 × x

= 2 × 8x

= 16x , then

16x = 48 ( divide both sides by 16 )

x = 3

Answer:

Make 7/5 and 1/8 have a common denominator, which is 40.

7/5 x 8/8 = 56/40(minutes driving to her home)

1/8 x 5/5 = 5/40 she spends

The interest that Niki paid in total will b A $39,695.48

We will use the formula of amount for two monthly compounded

[tex]A=\dfrac{P(1-(1+\dfrac{r}{t}^{-nt} )}{\dfrac{r}{t} }[/tex]

P is the periodic payment.

Here, A = $61,60

r = 0.0984

t = 6

n = 11 years  

By putting values in the formula we get,

[tex]61600=\dfrac{P(1-(1+\dfrac{0.0984}{6} ^{-11\times6} )}{\dfrac{0.0984}{6} }[/tex]

[tex]61600=\dfrac{P(1-(1+0.0164)^{-66}}{0.0164}[/tex]

[tex]1010.24=P(1-0.341769)[/tex]

[tex]1010.24=0.658231\times P[/tex]

[tex]P=$1534.78[/tex]

So, Niki pays $1534.78 every two months for eleven years.

Now the total payment made by Niki = [tex]11\times 6\times 1534.78=101295.48[/tex]

Hence, interest paid is = [tex]101295.48-61600=39695.48[/tex]

Thus interest that Niki paid in total will b A $39,695.48

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Answer:

A $39,695.48

Step-by-step explanation:

got it right on edge ;)

Answer:

18 squared + 24 squared = x squared

Step-by-step explanation:

As we know from Pythagorean theorem:

a^2=b^2+c^2, where a -s hypotenuse and b&c are adjacent sides of right angle.

Here we should have: x^2=18^+24^2

Answer:

98 square yards (hopefully its not too late!)

Step-by-step explanation:

I do not have one sorry,

Answer:

98 Square yards (not 2 late i hope!)

Step-by-step explanation:

...

sorry dont have one

Answer:

Step-by-step explanation:

not possible, the hypotenuse must be the longest side of a right triangle

Answer:

rational: 4¾, ¼, -0.9

whole: 8

integers: 8, -16

Step-by-step explanation:

rational numbers are numbers that can be expressed as a fraction. (-0.9 = -9/10)

whole numbers are numbers that do not have a fraction but they do not include negative numbers.

integers are numbers that can be expressed as a whole number with no fractions.

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}[/tex]

We know that,

Where,

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}} [/tex]

∴ Hence, the length of the cylinder's radius is 3 cm.

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

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