A television's size is
measured by the
diagonal length of the
screen. If a television is
24 inches tall and 32
inches wide, Find its
diagonal length.

Answers

Answer 1

Answer:

This is a clear case to use the Pythagorean Teorem, as we need to calculate diagonal lenght of a rectangle, and to do so, we can divide it in right triangles.

As the Pythagorean Teorem says [tex]a^2 + b^2 = c^2[/tex]

We can now replace on [tex]a^2 + b^2 = c^2[/tex] the numbers we have [tex]24^2 + 32^2 = c^2[/tex]

Now, we solve [tex]24^2 + 32^2 = c^2[/tex] by operating:

[tex]\sqrt{1600} = b[/tex]; b = 40

The diagonal lenght is 40 inches r


Related Questions

Review the steps of the proof of the identity Sine (A minus StartFraction 3 pi Over 2 EndFraction) = cosine A.

Sine (A minus StartFraction 3 pi Over 2 EndFraction)

Step 1: = Sine A cosine (StartFraction 3 pi Over 2 EndFraction) minus cosine A sine (StartFraction 3 pi Over 2 EndFraction)

Step 2: = (Sine A) (0) + cosine A (negative 1)

Step 3: = (Sine A) (0) + (1) (cosine A)

Step 4: = 0 + cosine A

Step 5: Cosine A

At which step was an error made?

step 1
step 2
step 3
step 4

Answers

Answer: Step 2 on EDGE2020

Answer:

step 2

Step-by-step explanation:

how to to evaluate multi-step expressions involving positive fractions?

Answers

Answer:

You add or subtract the whole number by the fraction, and the whole number becomes a positive mixed number.

Helpppppp I’ll mark brainliest

Answers

A. the dependent variable (range)
B. X increases by 1 and Y increases by 2
C. 2
D. they are increasing by the same amount and so is the y. the relationship is proportional.
E. y=2x+9

PLEASE HELP YOU WILL GET BRAINLIEST :)
Mateo completed the following steps to solve the equation -2 + z = 10.

-2 + z = 10

-2 + z − 2 = 10 − 2

z = 8

Explain why Mateo's solution is incorrect. Then show how to correctly solve the equation.

Answers

if z = 8

then

-2 + (-8) = - 10

not 10

-2 + z = 10

-2 + 2 + z = 10 + 2

z = 12

check

-2 + (+12) = +10

Which of the following most closely rounds to the number 1

Answers

Answer:

1.1???????

Step-by-step explanation:

Answer:Its most likely to be D

Step-by-step explanation:

Find two integers whose sum is 96 and whose product is 1728.

Answers

Answer: 24 & 72

Step-by-step explanation: 24 + 72 = 96

24 x 72 = 1728

Answer:

72 and 24

i don't really know how to explain it, sorry :p

A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.

Answers

Answer: The answer would be 214

Write and evaluate the expression. Then, select the correct answer two less than the quotient of a number and four, increased by ten evaluate when m = 12
2 + 4m -10, when m = 11, the value is 40
4m + 2 +10, when m = 11, the value is 60
2 -StartFraction m Over 4 EndFraction 4m + 10, when m = 12, the value is 9
StartFraction m Over 4 EndFraction-2+10, when m = 12, the value is 11

Answers

Answer:

D

Step-by-step explanation:

I just did it

ABCD is a rectangle AB=2x+4 AD=4x-2 DC=3y BC=y solve for x and y

Answers

The values of x and y in the rectangle ABCD are 1 and 2 respectively.

Properties of a rectangleOpposite sides are equal.Opposite sides are parallel.

Therefore,

AB = DC

AD = BC

2x + 4 = 3y

4x - 2 = y

Hence,

2x - 3y = -4

4x - y = 2

multiply equation(i) by 2

4x - 6y = -8

4x - y = 2

-5y = - 10

y = -10 / -5

y = 2

Therefore,

2x - 3(2) = -4

2x - 6 = -4

2x = -4 + 6

2x = 2

x = 1

learn more on rectangle here: https://brainly.com/question/1580926

What type of triangle has only two congruent sides?.

Answers

The answer is Isosceles triangle

HLPE QUICK PLEASE!! WILL GIVE BRAINLIEST!

Answers

Answer:

A.

Step-by-step explanation:

499.0 seconds which rounds to 500 seconds.

Answer:

C

Explanation not provided


THE QUESTION IS #3 PLEASE HELP ILL GIVE AS MANY POINTS AS I HAVE THIS IS DUE TONIGHT

Answers

Answer:

4/3

Step-by-step explanation:

Ride up 4 and run to the left 3

Answer:

4/3

12/6

Step-by-step explanation:

y2 - y1

x2 - x1

Help ASAP. This is my 6th time making this question with nobody helping.

Answers

Answer:

m = 2.4 and b = 14.8

Step-by-step explanation:

In slope-intercept form, all equations follow the formula y = mx + b, in which equations are parallel as long as they have the same slope, represented by the variable m. All that the b variable does is change the y-intercept. Knowing this, in order to find a parallel equation to y = 2.4x + 5.2 that intercepts the point (-2, 10), the only variable that can change is the b variable. The first step is to plus -2 into the x variable. This will grant you y = 2.4(-2) or y = -4.8, which will then allow you to find what the b variable should be by subtracting -4.8 from 10. This will grant you b = 14.8, and since you know the slope must stay the same, the final answers are m = 2.4 and b = 14.8.

Can someone help me?


The areas of the two rectangles below are equal. There are two possible areas. One is 105 u2

What is the other one?

Answers

Answer:

144 u²

Step-by-step explanation:

Areas are equal

(6x + 15)(2x + 7) = (4x + 7)(2x + 15)12x² + 42x + 30x + 105 = 8x² + 60x + 14x + 1054x² = 2xx = 1/2

Calculating the areas

(6 x 1/2 + 15)(2 x 1/2 + 7) = 18 x 8 = 144(4 x 1/2 + 7)(2 x 1/2 + 15) = 9 x 16 = 144

The other one is 144 u²

What is the solution for 3x + 2y = -1 and -2x + 5y= 26

Answers

Answer:

x=-3 y=4

Step-by-step explanation:

If (x−4)2=7, what values of x make the quadratic equation true?

Answers

Answer:

Step-by-step explanation:

Take the square root of both sides.

sqrt(x - 4)^2) = +/- sqrt(7)

x - 4 = +/- sqrt(7)                Add 4 to both sides

x = 4 +/- sqrt(7)

Answer: C

SOMEONE ANSWER ASAP!!!!!

Answers

Answer:

asap

asap

asap

asap

asap

Answer:

-1/1x+2

Step-by-step explanation:

8x+5y=-13, 3x+4y=10 solve by elimination

Answers

8x+5y=-13

3x+4y=10

*4 on top

*5 on buttom

32x + 20y = - 52

15x + 20y = 50

subtraction

32x - 15x = - 52 - 50

17x = - 102

x = - 6

and then

3 * (-6) + 4y = 10

4y = 28

y = 7

Students in health class are tracking how much water they consume each day. Evelyn has two reusable water bottles: a small one and a large one. Yesterday she drank 1 small bottle and 3 large bottles, for a total of 1,754 grams. The day before, she drank 3 small bottles and 4 large bottles for a total of 2, 932 grams. How much does each bottle hold? Solve using elimination method.

Answers

Answer:

424 grams for the small one and 510 grams for the big one.

Step-by-step explanation:

Nice profile picture.

GEOMETRY- help me out ASAP!!

Answers

Answer:

A=130

B=15

C=35

help please
Write the next three terms of the arithmetic sequence.
0.2, 0.6, 1, 0.4, __, __,__

Write the next three terms of the arithmetic sequence.
4, 3 3/4, 3 1/2, 3 1/4 ,__, __, __

Answers

Use the formula for an arithmetic sequence:  [tex]a_{n}=a+(n-1)d[/tex]  

[tex]a_{n}[/tex] = nth term

a = the first term in the sequence

n = term you are looking for

d = common difference between the terms

Answers

1. I'm assuming you meant to type 0.2, 0.6, 1, 1.4...

In that case, it is increasing by 0.4, so the next three would be:

0.2 + (4-1)(0.4) = 1.8...

=> 1.8, 2.2, 2.6.

2. Here it's reducing by 0.25, so start with:

4 + (5-1)(-0.25) = 3...

=> 3, 2.75, 2.5

HELP AND SHOW UR WOrk Which of the expressions below has a product that is greater than 75? Select all that apply. A) 8.92 × 8 B) 9.55 × 8 C) 12.8 × 6 D) 12.1 × 6)
which answers is correct
A B C D

Answers

Answer:

B and C

Step-by-step explanation:

Find all the products.

A) 8.92 × 8 = 71.36

B) 9.55 × 8 = 76.4

C) 12.8 × 6 = 76.8

D) 12.1 × 6 = 72.6

Answers:

9.55x8= 76.4

12.8x6=76.8

Wrong:

8.92x8

12.1x6

Hope this helped you.

Stear Corp. has an opening inventory of $2,500. During the year, it made purchases worth $55,000. at the end of the accounting period, the inventory was worth $1,250. what was the cost of goods sold? A.) $57,500 B.) $56,250 c.) $53,750 D.) $55,000

Answers

Answer:

B

Step-by-step explanation:

find the area of this parallelogram. ​

Answers

Answer:

168 y²

Step-by-step explanation:

Area of a parallelogram: base x height

In this case:

base = 14

height = 12

14 x 12 = 168

13)


Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping


company. If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents


the situation if Ryan wants to earn a minimum of $300?


A)


10x + 13y s 300


B)


10x + 13y = 300


13x + 10y s 300


D)


13x + 10y = 300

Answers

Given :

Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.

To Find :

If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents  the situation if Ryan wants to earn a minimum of $300.

Solution :

His total earning is given by :

T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)

T = 10x + 13y

Now, he wants to earn a minimum of $300 i.e T ≥ $300.

So, 10x + 13y ≥ 300

Hence, this is the required solution.

In a certain town there were 247 robberies last year. This year the number of robberies has gone down 30%. How many robberies were there this year, to the nearest whole number?

Answers

Answer:

173

Step-by-step explanation:

10%x247=24.7

24.7x3=74.1

247-74=173

what’s -4/5 divided by 2

Answers

Answer: The answer is -2/5

Hope this helps :)

[tex]\frac{4}{10}[/tex]Answer:

-2/5

Step-by-step explanation:

-[tex]\frac{2}{5}[/tex] ÷[tex]\frac{2}{1}[/tex]= -[tex]\frac{2}{5}[/tex]×[tex]\frac{1}{2}[/tex]=-4/10=-2/5

When dividing fractions you follow a rule called Keep change flip or KCF. You keep the first fraction in this case -2/5 then u change the symbol so from ÷ to × and then u flip the fraction. You then solve like you would a multiplication fraction.

What is the gradient of the blue line

Answers

Answer:

-5

Step-by-step explanation:

[tex]\mathsf{gradient=\dfrac{change\ in\ y}{change \ in \ x}}[/tex]

Pick 2 points on the line:

(-2, 5) and (-1, 0)

[tex]\implies \mathsf{gradient=\dfrac{5-0}{-2--1}=-5}[/tex]

Consider the trinomial x2 – 9x + 18. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

Answers

Answer:

(x-6)*(x-3)

Step-by-step explanation:

a*c

1*18=18

Factors of 18 are:

1, 2, 3, 6, 9, 18

The equation has +18 meaning both signs must be the same; - - or + +

The only two factors that work are -3 and -6

The factored form will be (x-6)*(x-3)

Check with FOIL method.

Answer:

Answer in picture

Step-by-step explanation:

Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table. Which form of transportation travels a greater distance per hour?

Train
Time (hours) Distance (miles)
2 90
3 135
6 270

Bus
A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 0) and (5, 300).

CLEAR CHECK

The train travels 5 miles more per hour than the bus.


The train travels 30 miles more per hour than the bus.


The bus travels 15 miles more per hour than the train.


The bus and train travel the same distance per hour.

Answers

Answer:

The bus travels 15 miles more per hour than the train

Step-by-step explanation:

If you look at the graph and how much the train goes per hour, it shows that in a less amount of time than the train the bus gets further. The only answer with the bus traveling further is 15 miles. Therefore, the bus travels 15 miles further per hour than the train!

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