A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

Answers

Answer 1

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

[tex](12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{234.25}\\c=15.30[/tex]

Hence,

Length of diagonal of picture = 15.30 inches


Related Questions

someone please help!

Answers

IT IS THE THIRD ONE:

3+8.486

because I find it like that

3х +2у = -5
Чx - Зу = 16

Answers

3х +2у = -5 Xx - Pe = 16

What is the constant in the expression -18 - 3a​

Answers

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.

Can anybody help me with this one

Answers

9514 1404 393

Answer:

  A(-8, 6), D(-1, -16), E(17, -3)

Step-by-step explanation:

Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)

Those points are ...

  (-8, 6), (-1, -16), (17, -3)

For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4

Answers

Answer:

the correct answer is A , D

What is the value of x?
D
(x-4)
B
с
E
19
А
F

Answers

Answer:

How are we supposed to know what X is

Step-by-step explanation:

This doesn't make sense emphasize more

Answer:x=23 because 23-4=19 which equals to one side of the triangle

Step-by-step explanation:

Uhmm I got it right :D

Help please!!!!!!!! I need help with this ASAP!

Answers

9514 1404 393

Answer:

  2.89 m

Step-by-step explanation:

The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.

The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...

  Sin = Opposite/Hypotenuse

  sin(12°) = (0.6 m)/(PR)

  PR = (0.6 m)/sin(12°) ≈ 2.886 m

  PR ≈ 2.89 m

The distance to the subject is about 2.89 meters.

GIVING BRAINLIEST!! Please answer.
if x ∆ y means x/y - x^2, then the value of 2/3 ∆ 4/5 is,
a)7/18 b)14/25 c)4/45 d)34/45 e)29/150

Answers

Answer:

a) 7/18

I hope this helps!

When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

can someone pls help!!!

Answers

3n+4=10

answer= n=2

c+2=18

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces Please help cuz im in a pretest and my brain is ded

Answers

Complete question :

The graph below shows the percentages of ingredients in a salad mix.

A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?

Answer:

18 ounces

Step-by-step explanation:

From the pie chart ;

The percentage of each Salad mixture in the mix is given ;

Romaine lettuce occupies 27% of the total salad mix ;

The total of amount of ounce of the entire salad mix is 64 ounce

Therefore, number of ounces of Romaine lettuce in the salad mix is ;

27% of 64

0.27 * 64

17.28

= 18 ounces

What is the value of the expression below? 5+2(10 + 5)​

Answers

U would do 10+5 first then u would do 5+2 so 15+7 =22
The answer is 22. PEMDAS = Parentheses first, so you add 10 + 5 = 15. Then you add 5+2 = 7, = 22.
Or if you’re multiplying it would be 15 x 7

Find the simple interest for 3 years at a rate of 5% on $200

Answers

Answer:

The simple interest is $30

Step-by-step explanation:

To find this, we use the simple interest formula

Mathematically, this is;

I = PRT/100

P is the principal = $200

R is the rate = 5%

T is the time = 3 years

Substituting these values, we have;

I = (200 * 5 * 3)/100

I = $30

PLZ: show work, solve for x:

Answers

x+11/-2=-8

x+11/-2 x -2= -8 x -2

x+11= 16

X+11-11=16-11

x = 5

The regular price of a skateboard is p. Which expression represents the price of the skateboard when it is on sale for 25% off? Select all that apply.

Answers

Answer:   The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Given: Regular price of a skateboard is p.

Discount = 25% off = 0.25p

Now, the  price of the skateboard when it is on sale for 25% off = p - Discount

= p -0.25p

= (1-0.25)p

= 0.75p

Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Which equation is equivalent to 8x + 2y = 10?

Answers

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Answers

Answer:

a.The value of the van decreases by 20% each year since its purchase.

b.The value of the van decreases by 80% each year since its purchase.

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Step-by-step explanation:

From the above question, we are given the Exponential function

V(t)=10,000(0.8)^t

Verifying the given options:

a.The value of the van decreases by 20% each year since its purchase.

Option a is correct , this is because, the Exponential function above is and Exponential Decrease.

The formula is given as:

V(t) = 10000(1 - r) ^t

Where r = Decreasing rate

Comparing

= 1 - r = 0.8

= 1 - 0.8 = r

r = 0.2

Converting to percentage

= 0.2 × 100 = 20%

Option a is correct

b.The value of the van decreases by 80% each year since its purchase.

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option b is correct

c.The value of the van decreases by $2,000 each year since its purchase.

Option C is incorrect

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Option d is correct because

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option d is correct

e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Option e is incorrect

From the options given in the question, the correct statements are,

Options a, b, and d.

please help again lol

Answers

11/20 = 55%

hope this helps

Answer:

55%

Step-by-step explanation:

One whole box is shaded plus that one line, if you separate both into 2 100%, the one line will equal to 10% but then divide the 10% in half and the 100% which will equal to 55%

3(2+5)−5(3)+8=
Evaluate

Answers

The answer is 14.
You’d evaluate using PEMDAS

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

IM BEING TIMED PLZ HURRY AND THANKS What is the sum of a° + c°

Answers

Answer:

300°

Step-by-step explanation:

a° is 180°

c° is 120° (from 180° = 60° + c°)

How many expressions can you find using and that have a value of 12 a=6 b=4 c=-2

Answers

Answer:

Step-by-step explanation:

Some of the expressions that can be derived that have the values of 12 are:

i. 2a = 2 x 6

      = 12

ii. 3b = 3 x 4

        = 12

iii. (b  + c) x a = (4 - 2) x 6

                = 2 x 6

                = 12

iv. 2b + [tex]c^{2}[/tex] = (2 x 4) + (-2 x -2)

                = 8 + 4

                = 12

v. [tex]b^{2}[/tex] -  [tex]c^{2}[/tex] = (4 x 4) - (-2 x -2)

             = 16 - 4

             = 12

vi. [tex]c^{4}[/tex] - b = (-2 x -2 x -2 x -2) + 4

             = 16 - 4

             = 12

             

PLEASE HELP QUICK
4x^2-7x-15 factored completely.

Answers

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

whats 4 +4

guys pls help

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Please Help! Freshman in high-school Algerbra 1​

Answers

Answer:

yes

Step-by-step explanation:

0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof

HELP!!!!!!! Solve the equation |x-1|+3=2

Answers

|x-1| + 3=2
The absolute value of x-1 is x+1

Our new equation: x+1+3=2

X+4=2
Then you have to isolate the variable
X+(-4+4)=(2-4)


Answer: X=-2

What is the equation of the line that passes through the point (4,-3)(and has a slope of 11?

Answers

Answer: -3 = 11(4) + b

Step-by-step explanation: y = mx + b, -3 is the y, 11 is the slope (m), 4 is the x, b is the y-intercept which is unknown unless you solve for it.

1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10

Answers

1. 1/3 divided by 4 is 0.0833
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

Multiply 2ab(−a+2b+3).

−2a2b+4ab2+6ab

8a2b2

−2a +2ab+3b

8ab

Answers

Answer:

−2a2b+4ab2+6ab

Step-by-step explanation:

i took the test

answer please
.........​

Answers

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.

Answers

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

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