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

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

Read more about progression at:

https://brainly.com/question/12006112

Answer:

Reflected over x axis

compressed by 2

right 3

up 3

Step-by-step explanation:

I graphed both and looked at the differences

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:

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.

Answer:

Step-by-step explanation:

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:

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

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:

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:

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:

https://brainly.com/question/1214333

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:

$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:

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:

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:

Step-by-step explanation:

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.

Answer:

24

Step-by-step explanation:

You are basically inserting -4 into the function as x. It would be (-4)^2-2(-4) You can simplify it into 16 - (-8) or 24.

Answer:

24

Step-by-step explanation:

Well, f(-4) is the case in the formula when x=-4.

On that occasion, f(-4)=(-4)^2-2*(-4)=16+8=24

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.

https://brainly.com/question/25813512

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

To know more about Compound interest follow

https://brainly.com/question/24924853

Answer:

A $39,695.48

Step-by-step explanation:

got it right on edge ;)

Answer:

156.25

Step-by-step explanation:

A = 2 (wl + hl + hw)

A = 2 (5.5 x 3 + 7.25 x 3 + 7.25 x 5.5)

A = 2 (16.5 + 21.75 + 39.875)

A = 2 x 78.125

A = 156.25

Hi! I hope you are enjoying your day!

In order to subtract these fractions, we should turn the first fraction into an improper fraction.

What is an improper fraction?

An improper fraction is a fraction whose numerator is greater than its denominator.

How to turn a mixed number into an improper fraction?

      - Multiply 1 times 8

    2. Add the numerator.

     - Add 7 to the product of 1 and 8 (which, of course, is equal to 8)

  8+7=15

Therefore, we have

[tex]\bold{\displaystyle\frac{15}{8} -\frac{3}{8}}[/tex]

Now all we have to do is subtract the numerators!

[tex]\bold{\displaystyle\frac{12}{8}}[/tex]

Surprise! This fraction can be reduced:

[tex]\boxed{\boxed{\bold{\displaystyle\frac{3}{2}}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

#LearningIsFun

Answer:

x = 28°

Explanation:

|| means parallel lines.

reason:

Alternate interior angles, so has same angle measure.

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

Step-by-step explanation:

248 min i think hope it helps

Answer:

21

Step-by-step explanation:

9/15 = 3/5

35*3/5=105/3

105/3=21

Answer: -7 and 4

Step-by-step explanation: -2 - 5 = -7 and 7 - 3 = 4

g(m) = -2n/9

explanation:

make "m" the subject.

solve:

-2m - 5n = 7m - 3n

-2m - 7m = -3n + 5n

-9m = 2n

m = -2n/9

[tex]\rightarrow \sf \bold{m=-\dfrac{2n}{9}}[/tex]

Answer:

2.73 divided by 30 is 0.091

Answer:

0.091

Step-by-step explanation:

First, let's convert 2.73 into a whole number by multiplying it by 100.

Now, we divide 273 by 3000.