The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.

Answer:

1. 45

2. 33

Explanation:

1. 4x² + 6x - 9

= 4(9) + 18 - 9

= 36 + 18 - 9

= 45

2. 3y + 7(2y - 5)

= 12 + 7(8 - 5)

= 12 + 56 - 35

= 33

i hope this helps! :D

Answer:

45

33

Step-by-step explanation:

4(3)^2+6(3)-9= 36+18-9= 45

3(4)+7(2*4-5)= 12+7(8-5)= 12+7(3)= 33

Answer:

D

Step-by-step explanation:

Hello There!

N = Nickels and D = Dimes

The total amount of nickels and dimes is 27

so d + n = 27

or d = 27 - n

or n = 27 - d

It says that the amount of nickels she has is 3 times the amount of dimes minus 1

so

n = 3d - 1

so looking at the information above we can conclude that the answer is D

Answer:

d

Step-by-step explanation:

Answer:

80 marks

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

He needs to collect at least 120 so if c is what he must still collect

64 +c must be greater than or equal to 120

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

Learn more about Geometry click;

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Answer:

5 1/4 ; 6 ; 6 3/4

Step-by-step explanation:

Using the nth term of an arithmetic progression relation.

an = a + (n - 1)d

First term, a = 4 3/4

Common difference, d = 1/4

3 rd term ; n = 3

a3 = 4 3/4 + (3 - 1)1/4

a3 = 4 3/4 + 2*1/4

a3 = 4 3/4 + 1/2

a3 = 5 1/4

6th term ; n = 6

a6 = 4 3/4 + (6 - 1)1/4

a6 = 4 3/4 + 5*1/4

a6 = 4 3/4 + 5/4

a6 = 6

9 th term ; n = 3

a9 = 4 3/4 + (9 - 1)1/4

a9 = 4 3/4 + 8*1/4

a9 = 4 3/4 + 2

a9 = 6 3/4

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

Answer:

Use photo math, it will explain literally all the steps

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]

Answer:

Given: cos θ = 5/13 where 0 ≤ θ < 90

Find tan 2θ

Step-by-step explanation:

Answer:

The quotient is negative.

Step-by-step explanation:

The rules of signs for multiplication and division of two numbers are the same.

If you multiply or divide two numbers with the same sign (both positive or both negative), the answer is positive.

If you multiply or divide two numbers with different signs (one positive and one negative), then the answer is negative.

Since the product is negative, then the quotient is also negative.

Answer: The quotient is negative.

Step-by-step explanation:

Because the line doesn't start at 0 (right at the bottom) and that shows that it is not directly proportional to x.

Hope it helped.

Answer:

total area = 207 cm²

Step-by-step explanation:

base area = 9 x 9 = 81

side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126

81 + 126 = 207 cm²

Answer:

Step-by-step explanation:

Not true.  A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

Answer:

.........................

Answer:

Step-by-step explanation:

let's figure out first the value of the angles from 0- 360 degrees

Answer:

The product is 9x^2+48x+64

Step-by-step explanation:

Answer:

(Infinitely), (No solution), (One solution), (One solution)

Step-by-step explanation:

1. 5x + 9 = 9 + 5x (Infinitely)

2. -4x + 8 = -4x - 8 [minus -4x from both equation, we get 8 = -8, which is impossible] (No solution)

3. x - 3 = 3 - x [2x = 6, x = 3] (One solution)

4. 3x + 7 = 7x + 3 [4x = 4, x = 1] (One solution)

Answer:

4 times c is 4c and 4 times 3 is 12 so the answer would be 4c + 12

Step-by-step explanation:

[tex]\huge\boxed{\boxed{\pmb{Hello!}}}[/tex]

[tex]\text{Let's Solve this Problem!}[/tex]

[tex]\pmb{STEPS:}[/tex]

1. Distribute 4

2. Simplify.

1. 4(c+3)

4*c+3*4

2. 4c+12 [tex]\huge\checkmark[/tex]([tex]\huge\mathbb{ANSWER}[/tex])

Hope it helps.

~Just a determined gal

#HaveAnAwesomeDay

[tex]\mathfrak{M^ag^ic^al\:Sparkles}[/tex]

Answer: Im so sorry but I have not done this in such a long time

Step-by-step explanation: Have a good day

Answer:

16 eggs

Step-by-step explanation:

Steps to answering this question

Number of eggs needed for one cookie = 4/30 = 0.1333

Number of eggs needed for 120 cookies = 0.1333 x 120 = 16 eggs

To write slope intercept form from a point, you take the 2 and covert it to 2/1, or rise/run form. Then you find the y-intercept. Now listen, this is very complicated. Ready? It's the y-coordinate. 4. Veery complicated.

So y=2/1+4

---

hope it helps

Answer:

um.... 17??????????????????

Answer:

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Step-by-step explanation:BHDHEJKNHRGHRFYRHDHNHNEBFDYHFBVUUUFHECHFHVYGDFRFHRHFFRUFYYRFFRYFYFYRFREYRYFGFWYBGT

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

(5, 27)

Step-by-step explanation:

-3(x^2 - 10x + 16)  [Expand the equation using the FOIL method]

-3(x^2 - 10x) - 48  [Move the 16 outside of the parenthesis (16 * - 3 = -48]

-3(x^2 - 10x + 25) +75 - 48  [Complete the square]

-3(x-5)^2 + 27  [Simplify. The equation is now in vertex form.]

Answer:£[tex]74.2[/tex]

Step-by-step explanation:

Given

Cost of [tex]40[/tex] liters of petrol is £[tex]42.40[/tex]

Using Unitary method

[tex]40[/tex] liters cost ↔£[tex]42.40[/tex]

[tex]1[/tex] liter cost ↔ [tex]\dfrac{42.40}{40}=1.06[/tex]

[tex]70\ \text{liters cost}\ \rightarrow1.06\times 70=[/tex]£[tex]74.2[/tex]

Answer: 408 sq ft

Step-by-step explanation: You would need to use the surface area formula SA = 1/2LP + B. Note that L is the slant height, P is the perimeter of the base, and B is the area of the base. 11 is the slant height as shown in the image above, p is 48 since you add 12 + 12 + 12 + 12, and the area of the square will be 144 since 12*12 = 144. Once you substitute the numbers in their correct place, you should get SA = 1/2 (11)(48)+144 which gives you 408 sq ft. Hope this helps!

Answer:408    did this right on k12

Step-by-step explanation: