Each pair of shapes below are similar. Solve for each variable. Show all work necessary to justify your answer. 26 11 6 18 X = 21 a = 13 b 11 22​

Answer:

163.75

Step-by-step explanation:

a scale factor applies normally to lengths (one-dimensional sizes).

and the perimeter is calculated just by lengths (the side lengths).

so, we can apply the scaling factor directly to the perimeter.

perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =

= 163.75 ft

what was step 1 ? we did not need it ?

Answer:

250cm

Step-by-step explanation:

Answer:

433.01m.

Step-by-step explanation:

SOHCAHTOA

cos60= a/500

500cos60=a

433.01m

Answer:

Shown above

Step-by-step explanation:

Sorry for my untidy handwriting

Answer:

I(1, -4)

Step-by-step explanation:

(-4, -1) is in Quadrant 3 where x and y are negative

when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative

and also the values of x and y switches

so the answer will be I(1, -4)

If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have  $35,517,190.20.

The formula that can be used to determine the value of the fund after 16 years is:

Initial value of the fund x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

(1.13^16 - 1) / 0.13 = 46.671735

46.671735 x $761,000.00 = $35,517,190.20

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The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The given data in the problem is;

[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485

r is the radius = 18.4 m

The area of a sector of a circle is found as;

[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]

Hence the area of the sector of the circle will be 759.34 m².

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Answer:

Division property of equality

Step-by-step explanation:

If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:Division property of equality

Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:

Volume = a.b.c = k^3  

Step-by-step explanation:

Volume = a * 22.5 * 12 = 4320

a = 16 inches

Answer:

1.75% and 16 times

Step-by-step explanation:

Compound interest formula:

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]

          [tex]\sf =791.9576107...[/tex]

Equivalent interest rate:

[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]

Number of times compounded:

[tex]\sf \implies nt=4 \times 4=16[/tex]

Answer: 125 to the power of 3 = 1253 = 1,953,125

Answer:

210 cm sq

Step-by-step explanation:

Area of a triangle is 1/2bh.

12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).

1/2*12*35=210 cm sq

Answer:

3x+4<13

The y-intercept is (0,2)

The slope is -5/2.

           [tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]

Hope that helps!

Hello!

We have

4kp×k

Multiply 4 times k times k times p:

4k²p

k² = k times k (k times itself)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\boxed{An~Emotional~Helper~here~}[/tex]

Answer:

A quotient is the number we get when we divide one number by another.

for example

8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.

I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.

Answer:

I think the answer is 4 or am I wrong please I don't understand

Answer:

For the first question, D is the correct answer.

For the second question, B is the correct answer.

Step-by-step explanation:

First question:

[tex]5.89 + .61(30) = 24.19[/tex]

[tex]5.89 + .61(35) = 27.24[/tex]

So D is the correct answer.

Second question:

A function is a relation in which each element in the domain corresponds to one and only one element in the range. That said, relations A, C, and D are not functions since in each of these relations, one element in the domain corresponds to two elements in the range. Only relation B is a function.

Q: Where do you put a smart hot dog? A: On the honor roll.

The solution is, the final answer is 78.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The parts of the final expression are ...

 6 walker = 150

 walker = 150/6 = 25

 yoda^4 = 81

 yoda = 81^(1/4) = 3

2 Rtwo +100 = 120

Rtwo = (120 -100)/2 = 10

 luke + yoda × Rtwo + walker × Rtwo = 285

 luke + 3×10 + 25×10 = 285

 luke = 285 -280 = 5

And the grand finale:

 luke ^ yoda - Rtwo(walker / luke) + yoda

= 5^3 -10(25/5) +3 = 125 -50 +3

= 78

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Complete question:

May the fourth be with you math riddle.

picture is attached.

Answer:

₹ 318.96.

Step-by-step explanation:

24/12 = 2 , so twice as much;

159.48 * 2 = 318.96

Answer:

no. the triangle would be acute

Step-by-step explanation:

[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle

↓

[tex]28^2+53^2=45^2[/tex]?

↓

[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]

↓

[tex]784+2809=3,593[/tex]

↓

[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]

which means the triangle is acute, not right.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

it costs  $26 to check a bag that's under the weight limit

Step-by-step explanation:

she had to pay an additional $6 fee for  each of the 3 bags.($18 in total)

x= each bag

3x +18 = 102

3x=84

x=26

Answer:It costs $28 for a bag that is under the weight limit.

Step-by-step explanation:

3(x+6) = 102

3x+ 18 = 1023x+18=102

3x = 843x=84

x = 28x=28

Answer:

C.80

Step-by-step explanation:

37.9% of 192.3

=37.9/100 × 192.3

=0.379×192.3

=72.8817

≈80 (possible answer)

The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.

The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P ia the annual payment

PV is the present value = $150,261

r is the rate of intreast = 9.1% = 0.091

n is the time period= 20

The formula for the annual payment is found as;

[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]

Hence the amount of the annual withdrawals will be $16,574.24.

To learn more about the amount refer to the link;

https://brainly.com/question/12184047

Answer:  the answer is 1000cm2.

The volume of a triangular prism shaped box is 2,400 cubic centimeters.

Base of the triangle = 16cm

Sides of the triangle = 17cm

Length of the box = 20cm

A triangular prism is a three-sided prism made of a triangular base and a corresponding side.

Lateral area =  Perimeter of triangle X height of the prism

Lateral area =  (16 + 17 + 17) X 20

Lateral area =  50 X 20

Lateral area =  1,000 cm2

Therefore, the answer is 1000cm2.

Answer:

x = 9 cm

create proportional equation:

[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]

[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]

[tex]\sf 9(3x+36) = 81(3x-20)[/tex]

[tex]\sf 27x+324 = 243x-1620[/tex]

[tex]\sf 27x-243x=-1620-324[/tex]

[tex]\sf -216x=-1944[/tex]

[tex]\sf x = 9[/tex]

Answer:

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

Answer:

8

Step-by-step explanation:

The required, following the given condition of the equation model,  8 times 8 equals 64.

We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.

To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:

8x = 64

(8x) / 8 = 64 / 8

Simplifying, we have:

x = 8

Therefore, 8 times 8 equals 64.

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Hi there! The fraction that gives you 11/12 is 44/ 48.

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Hope this helps you!

9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵

Answer:

[tex]9^-^1^5[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3}}{9^{12}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=9^{-3-12}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]

[tex]=9^{-15}[/tex]

Answer [tex]=9^{-15}[/tex]

~Learn with Lenvy~