The length of a rectangular picture frame is 16 inches, and the width of the picture frame is 12 inches. What is the length of a diagonal of this picture frame in inches?

Answers

Answer 1
The diagonal is 20 units
Answer 2

Answer:

20 inches

Step-by-step explanation:

A rectangular object can instead be thought about as two right triangles with the hypotenuse being the diagonal we are solving for.

With this in mind the Pythagorean Theorem can be used to solve for c

c^2=a^2+b^2

A=16 inches

B= 12 inches

C= hypotenuse

C^2=16^2+12^2

C^2=256+144

C^2=400

Take the square root of both sides: C = 20 inches


Related Questions

I have to find x but I am not sure how to? ​

Answers

Answer:

Supplementary angles add to 180

So, the angle supplementary to the angle of 112 degrees measures 68 degrees.

If these two lines are parallel, the angles are the same.

So, the triangle has angle measures: 2x, 68, and 68.

2x+68+68=180

2x=44

x=22

Let me know if this helps!

The ratio of the sides of a triangle is 2:5:3. If the perimeter of the triangle is 190 meters, what is the length of the longest side

Answers

Answer:

Step-by-step explanation:

Remark

Let x by the multiplying factor to make up 190 m.

2x + 5x + 3x = 190

10x = 190

x = 190/10

x = 19

The longest side is 5x

The longest side = 5 * 19 = 95

factor the polynomial completely f(x)=x^4-6x^3-8x+48;x-6​

Answers

Answer:

Factor x^3+8x^2+6x+48. x3+8x2+6x+48 x 3 + 8 x 2 + 6 x + 48. Factor out the greatest common factor from each group.

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end
of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith
withdraw money from his account? Write your solution as an inequality with x as the variable. Round to the
nearest whole number if necessary

Answers

500$ will be left because

What is the mean ?

I kinda need help

Answers

Answer:

7

Step-by-step explanation:

Dakota earned ​$11.25 in interest in Account A and ​$25.00 in interest in Account B after 15 months. If the simple interest rate is ​3% for Account A and 5​% for Account​ B, which account has the greater​ principal? Explain.
Which account has the greater​ principal? Select the correct answer below and fill in the answer boxes to complete your choice.

Answers

Answer:

Step-by-step explanation:

I=Prt

11.25=A(0.03)(15/12)

11.25=A(0.0375)

A=11.25/(0.0375)

A=$300

25=B(0.05)(15/12)

25=B(0.0625)

B=25/(0.0625)

B=$400

So account B has the greater principal.

Given line 1, with coordinates (-7,-3) and (4,7), and line
2 with coordinates (7,-7) and (-3, 4), find the slope of line 2

Answers

Answer:

-11/10 (fraction) or -1.1 (decimal)

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

x1 = 7

x2 = -3

y1 = -7

y2 = 4

So, it’s: (4 - (-7))/(-3-7)

= (4+7)/(-3-7)

= (11)/(-10)

= -11/10 or -1.1

I hope this helps!

Determine whether the polygons are similar.

Not Similar
Similar

Answers

Similar, Please let me know if this helped!!
The are NOT similar

Plz help me on this

Answers

Answer: Times 4

Step-by-step explanation:

The purple shape is 4 times bigger than the black shape.

Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account and makes no additional deposits or withdraws. How many years will it take to grow to 4,700

Answers

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

What type of figurative language is this: A very hot desert? Please explain!!

Answers

Answer:

literal

Step-by-step explanation:

If K
3x2 + 5x – 6 and M
– 2x2
-
6x + 7 then K
M
equals
A
5x2 – 3 + 1
–5x2 – 3 + 1
C
5x2 + 11x – 13
D
– 5x2 – 11x + 13

Answers

Answer:

5

Step-by-step explanation:

sorry

Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 2.5%/year compounded monthly. If the future value of the annuity after 10 years is $60,000, what was the size of each payment? (Round your answer to the nearest cent.) $

Answers

Answer:

Monthly payment= $440.71

Step-by-step explanation:

Giving the following information:

Mothly interest rate (i)= 0.025/12= 0.00208

Number of periods (n)= 12*10= 120 months

Future Value (FV)= $60,000

To calculate the monthly payment, we need to use the following formula:

Monthly payment= (FV*i) / [(1+i)^(n) - 1]

Monthly payment= (60,000*0.00208) / [(1.00208^120) - 1]

Monthly payment= $440.71

Help I need help I don’t know how to do this

Answers

8x²-18xy-5y²

8x²+2xy-20xy-5y²

2x(4x+y) -5y (4x+y)


= (2x-5y) (4x+y)

Sue has 4lbs 6oz of apples. Her younger brothers ate some and now she has 2lbs and 10oz how many lbs and oz of apples did they eat

Answers

Answer: 1 lbs 12 oz

Step-by-step explanation:

First and foremost, we should note that 16 ounces = 1 pound

Sue has 4lbs 6oz of apples. This in ounces will be:

= (4 × 16) + 6

= 64 + 6

= 70 ounces

Her younger brothers ate some and now she has 2lbs and 10oz. The ounces of apples left will be:

= (2 × 16) + 10

= 32 + 10

= 42 ounces

Therefore, the amount they ate will be:

= 70 ounces - 42 ounces

= 28 ounces

Since 16 ounces = 1 pounds

= 1 pounds 12 ounces

= 1 lbs 12 oz

Is it A) 5 or C) 1/5?

Answers

Answer:

5

Step-by-step explanation:

What is the area of the triangle?
A 96 cm2
B. 120 cm2
C. 192 cm2
D. 240 cm2

Answers

Answer:

D.)

Step-by-step explanation:

20x12=240

Just multiply

The farmer brought 180 cabbage to the market.
When the day was over, he had 10% less cabbage.
How many cabbage does the farmer have left?

Answers

18 cabbages left because 10% of 180 is 18

(07.01 LC)
Choose the correct classification of 3x4 - 7x3 + 5x. (2 points)
Sixth degree polynomial
Third degree polynomial
Fourth degree trinomial
First degree binomial

Answers

Forth degree trinomial because we have a number that’s to the exponent of four and we have 3 terms.

Convert 29,000 mm2 into cm2

Answers

Answer:

290 cm2

Step-by-step explanation:

Pls help and hurry i will report if you answer any unnecessary answers.

Answers

Answer:

847.8 sq meters

Step-by-step explanation:

Formula:

A= 2πrh + 2πr^2

A= 2(3.14)(9)(6) + 2(3.14)9^2

A= 339.12 + 508.68

A= 847.8

Help will give brainlist

Answers

Answer:

4

Step-by-step explanation:

If ∆MNL ~ RSL, find the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

NL/ML = SL/RL

(3x - 1)/28 = (x + 7)/24

24(3x - 1) = 28(x + 7)

72x - 24 = 28x + 196

72x - 28x = 196 + 24

44x = 220

x = 220/44

x = 5

Complete the double number to line show percentages of $50

Answers

can you send us a picture of the question please

help me please, brainliested ;)

Answers

Answer:

Literally. can't help. you dude.

If x increases by 7 in each row of a table of values, and the first differences are all equal to 45.5, then the rate of change is:

a) 6.5

b) 455/7

c) 7/455

d) 318.5

Answers

Answer:

b i think

Step-by-step explanation: dont yell just tell me if i got it wrong if i did srry

The rate of change when x increases and the first difference equal to 45.5 is 6.5. Then the correct option is A.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope is given as

[tex]\rm Slope = \dfrac{Rise \ or \ fall}{Run}[/tex]

If x increases by 7 in each row of a table of values and the first differences are all equal to 45.5. Then the rate of change will be given by the slope.

[tex]\rm \\Slope = \dfrac{45.5}{7} = 6.5[/tex]

The rate of change is 6.5.

More about the slope link is given below.

https://brainly.com/question/3605446

Classify the polynomial.
4y – 5xz

Answers

Answer:

4y-5xz has a degree of 2

Step-by-step explanation:

The degree of an expression the the largest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables in that term.

4

y

=

4

y

1

has a degree of 1

5xz=5x1z1

has a degree of ( 1+1)=2

(5xz)

has a higher degree than

(4y)

Therefore the degree of the expression is the degree of

(5xz) , namely 2

If x =3, y = -2 and z = 6, find the value of 7xyz

Answers

Answer:sin

(

330

)

 

csc

(

60

)

cos

(

390)

Step-by-step explanation:

Please help me I just don't understand!!!!!!!!!!!!!

Answers

Answer:

240pi

Step-by-step explanation:

To solve the equation below, you would?
X – 70 = 135
A) add 70 to each side
B) subtract 70 from each side
C) multiply each side by 70
D) add 135 to each side

Answers

Step-by-step explanation:

step 1. x - 70 = 135

step 2. x = 205. add 70 to each side

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