A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.
The perimeter of the rectangle is 34 cm. The perimeter of the triangle is 30 cm. Find the value of n.

Please select the best answer from the choices provided

A. 10cm
B. 14cm
C. 12cm
D. 16cm

Answers

Answer 1

9514 1404 393

Answer:

  C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

  P = 2(L+W)

  34 = 2(n +m)

Solving for m, we get

  m = 17 -n . . . . . . . divide by 2, subtract n

__

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

  m^2 +n^2 = (n+1)^2

  (17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

  289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

  n^2 -36n +288 = 0 . . . . . . . put in standard form

  (n -12)(n -24) = 0 . . . . . . . . . factor

  n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

Answer 2

Answer:

12 cm. Just took the quiz! 12 is the right answer not 14 cm.

Step-by-step explanation:


Related Questions

please write an equation of a line in slope-intercept form with the given slope and y-intercept.

A. slope: -6, y-intercept: -2

B. slope: 1, y-intercept: -12​

Answers

Answer: A. y = -6x - 2
B. y = x - 12

Explanation:
Slope intercept form: y = mx + b
m = slope
b = y-intercept

I would appreciate the brainliest if this was helpful and correct! :)
Its a because it make the most sense

Pls someone help me with this question pls

Answers

Yo im sorry but I can’t help I’m jus trying to answer questions so I can ask them

2  is 1 of 6 numbers on each side 1/6

Since its 3 rolls youd multiply it by 3

1/6x3 would be 3/18

Answer: The Probability of rolling a 2 on 3 throws would be 3/18

How many times does 1/2 go into 1 1/4

Answers

Answer:

twice

Step-by-step explanation:

1/2 x 2 = 1

then you have a leftover 1/4

1 1/4 =5/4

So

(5/4) * (2/1)

10/4 = 5/2 =2 + 1/2 times
:)

5th grade math. correct answer will be marked brainliest.

Answers

Answer:

Amy and Victor: 1 [tex]\frac{4}{9}[/tex]

Cal and Beth: [tex]\frac{7}{10}[/tex]

Beth and Victor [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Just multiply fractions by LCD

Factor x^2+8x+15
Show work with attachment

Answers

Answer:

heres how to solve it

Step-by-step explanation:

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip.
Write and solve an equation which can be used to determine z, the number of miles
in the taxi ride

Answers

Answer: 2.90 + 1.75z = 44.90
z = 24 miles
Steps:
2.90 + 1.75z = 44.90
1.75z = 44.90 - 2.90
1.75z = 42
z = 42/1.75
z = 24

Check:
2.90 + 1.75z = 44.90
2.90 + 1.75(24) = 44.90
2.90 + 42 = 44.90
44.90 = 45.90 ✅

I would appreciate the brainliest if this was helpful correct and had clear steps! :)

The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.

We will find that z = 24.

We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.

So if you travel for z miles, the total cost will be:

[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]

Now that we have this linear equation if we know that the total fare was $44.90, then we have:

[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]

Now we just need to solve the above equation for z:

[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]

Then we can see that she traveled for 24 miles.

If you want to learn more, you can read:

https://brainly.com/question/19770987

Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process

Answers

Answer: x:-2

The procedure is attached.

Answer:

x=-2

Step-by-step explanation:

[tex]\sqrt{x+3}+4=5[/tex]

subtract 4 from each side

[tex]\sqrt{x+3} +4-4=5-4[/tex]

square both sides

[tex]\sqrt{x+3}^2=1^2[/tex]

so we have

[tex]x+3=1[/tex]

subtract 3 from each side

[tex]x+3-3=1-3[/tex]

so our answer is [tex]x=-2[/tex]

What is the probability that the first marble is blue and the second marble is yellow?

Answers

Answer:

[tex]\frac{1}{14}[/tex]

Step-by-step explanation:

First time drawing:

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Second time drawing (with no replacement):

Total outcome is 7  (8 - 1 = 7)  

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

[tex]\frac{2}{7}[/tex]

The probability that the first marble is blue and the second marble is yellow is [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{7}[/tex] = [tex]\frac{2}{28}[/tex] = [tex]\frac{1}{14}[/tex]

what is the area of this triangle?

Answers

Answer:

23,400

Step-by-step explanation:

30 times 30 times 26= 23,400

jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have

Answers

Answer: 7 20

Step-by-step explanation:

Let x = number of 20p coins

10+50+20x=200        10p + 50p + x(20p) = 200p    (100p=1 pound)

60 + 20x = 200

subtract 60 from each side

20x=140

divide both sides by 20

x=140/20=14/2=7

x=7  James has 7 20p coins

HELP PLEASE DUE IN 4 MINUTES

Answers

Answer: 500 were sold for the carousel

Step-by-step explanation:

If each ticket is then multiply 100x5 which is 500.

Answer:

the answer is 475

Step-by-step explanation:

because you have 4 full dots and a dot that is 3/4 full one dot is 100 tickets so the 4 full dots

saungelique3 avatar

= 400 and the dot that is 3/4 full is 75

saungelique3 avatar

this is because 3/4 of 100 is 75

saungelique3 avatar

400+75=475

write a equation for each line

Answers

Answer:

Line l: y=4

Line m: y=-2x+4

Line n: y=x-1

Line p: x=-4

Hope this helps!

Consider the situations.
i. The value of an investment increases by $30 every year.
ii. The value of an investment decreases by 10% every year.
In which situation(s) is (are) the investment(s) changing at a constant rate?
both i and ii
only i
only ii
neither i norii

Answers

Only i.

If the value is changing by a certain dollar amount every year, this means it is a constant rate of change. If it is changing by a certain percentage every year, this means it is changing at a non uniform, specifically exponential, rate.

3x+12 greatest common factors

Answers

Answer:

The common factors for 3,12 are −3,−1,1,3 - 3 , - 1 , 1 , 3 .

Step-by-step explanation:

Kyle has 800 in his bank account before the holiday season he is going to buy gift cards of the same amount for 5 family members what is the most he can spend on each gift card if Kyle needs to have at least 500$ left in his account at the end of the season write an inequality for this situation

Answers

Answer:

look it up on the internet.

Step-by-step explanation:

You ride your bike to the park to meet your friend. The park is 75/100 of a mile away from your house. You ride your bike for 2/10 of a mile before you come to a steep hill. Then you walk your bike 1/10 to the top of the hill. When you get to the top of the hill, you can see the park up ahead. How far could you be away from the park when you are at the top of the hill? ​

Answers

Answer:

The answer is 0.45

Step-by-step explanation:

0.75-0.1-0.2=0.45

Figure II is a translation image of Figure 1. Write a rule to describe
the translation.

Answers

Answer:

a translation of (-2,4)

Step-by-step explanation:

what is the measure of angle gxi?

Answers

Answer:

80

Step-by-step explanation:

80 because 8x10=80 and also 1x80=80

The measure of angle GXI from the given circle is equal to 60°.

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

From the given figure, through the Centre 12 lines are passing and dividing the central angle.

We can write the measure of angle subtended by a single arc as -

θ = 360°/12

θ = 30°

So, the measure of ∠GXI = 2θ

= 2×30°

= 60°

So, ∠GXI = 60°

Therefore, the measure of ∠GXI is equal to 60°.

To learn more about the circle visit:

https://brainly.com/question/11833983.

#SPJ7

plsss help me answer this question !!!!

Answers

Answer:

what's your question???

A number is multiplied by 3, then 5 is added to the product. The result is 17. Fin
the number. Round your answer to the nearest tenth.​

Answers

Answer:4

Step-by-step explanation:

It is ten.................

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate. Do not round your intermediate computations, and round your answer to three decimal places.

Answers

Complete question:

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.

Answer:

[tex]P(x = 4) = 0.1376[/tex]

Step-by-step explanation:

Given

[tex]n = 9[/tex]

[tex]p = 63\%[/tex] --- proportion that germinates

[tex]p = 0.63[/tex]

Required

P(x = 4)

This question follows a binomial distribution:

[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]

When x = 4;

[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]

[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]

[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]

[tex]P(x = 4) = 0.13763895392[/tex]

[tex]P(x = 4) = 0.1376[/tex]

Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.

Answers

Answer:

She'll have $661 in the account in 2022.

Step-by-step explanation:

Compound interest:

The amount of money earned in compound interest after t years is given by the following equation:

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

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Rachael started off with $400. It earns 3% interest each year.

This means that [tex]A(0) = 400, r = 0.03[/tex]

So

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

[tex]A(t) = 400(1+0.03)^t[/tex]

[tex]A(t) = 400(1.03)^t[/tex]

She wants to know how much money she'll have in the account in 2022.

17 years after 2005, which means that this is A(17). So

[tex]A(17) = 400(1.03)^{17} = 661[/tex]

She'll have $661 in the account in 2022.

Identify all the acute angles in the figure.

Answers

Qvr, Qvs, Svt, Rvs, Tvu, that should be all of them
Acute angle is an angle under 90 degrees

Help plz I’ll mark brainliest

Answers

Answer:

C

Step-by-step explanation:

There is absolutely no correlation between class size and number of absences.

Find the average rate of change of f(x)=x^2-4x+1 from x=3 to x=7 .

Answers

Answer:

7

Step-by-step explanation:

is the answer a b or c

Answers

Answer:

∠Z & ∠K

Step-by-step explanation:

Answer all these pleasep

Answers

Answer:

ee flamingo

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

My sister plans to sell more than 250 boxes of cookies.

C>250

c250

Ob

Ос

Od

CS250

C2250

Next Page

Answers

Answer:

x > 250

Step-by-step explanation:

we are to express the statement using an inequality expression

Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;

x is the amount of box of cookies

2+2 >:) so complicated

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 and thank u or the free points

Step-by-step explanation:

The data is shown below:
91, 48, 86, 49, 77, 86, 64, 78
What is the median?

a. 72.37
b. 74
c. 86

Answers

Answer:  72

Step-by-step explanation: Its in the middle

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