Find the diagonal of a television screen 30 inches wide by 35 inches tall.
Round answer to the nearest tenth (if necessary).

Answers

Answer 1

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in


Related Questions

What is the quotient of 5.76 x 10^7 and 9.0 x 10^4 expressed in scientific notation?

Answers

Answer:

6.4 x 10²

Step-by-step explanation:

1st step: divide 5.76 by 9 which is .64

2nd step: 10^7÷10^4 = 10^7-4 or 10³

- 7th Grade Work -

A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?

Answers

Answer:

19

Step-by-step explanation:

hope this helps with the problem

What is 2/3-1/2 equal to (fraction form)

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Hope this helps <3

Answer:

=1/6

Step-by-step explanation:

First of all you have to find the lcm of the two denominators which are, 3 and 2

Lcm of 2 and 3 =6

Then divide 6 by by the denominators and multiply by numerators, which gives you

(4-3) / 6

After solving the above, we then arrive at 1/6 as our answer.

Find the derivative of f(x) = -5 divided by x at x = 11. (5 points)

Answers

AThe chosen topic is not meant for use with this type of problem. Try the examples below.

f (x) = 7x − 2, x = 6

f (x) = 3x − 2, x = 9

f (x) = x^2, x = 12

Answer:

I believe it is 2.2

Step-by-step explanation:

5 goes into 11. 2 times. 2times5= 10 and 11-10=1- 5 goes into 10 2 times- 2 times 5=10; 10-10=0. Therefore it would be 2.2. Hope this helps you. :)

I need help please no links!

Answers

Answer:

It will be 8 meters long.

[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]

ABCD is a quadrilateral with A(8,21),B(10,27),C(26,26) and D(18,2). Determine whether ABCD is a trapizoid

Answers

Answer:

ABCD is a trapezoid

Step-by-step explanation:

Given points of the quadrilateral:

A(8,21),B(10,27),C(26,26) and D(18,2)

To show whether ABCD is a trapezoid, we find a pair of parallel sides in ABCD. If two of its sides are parallel to each other then ABCD is a trapezoid.

Step 1: With the given points, sketch a graph. The diagram is attached to this response.

Step 2: As shown in the diagram, the two sides that are likely to be parallel are AB and CD

If these two sides have same gradient/slope, then the quadrilateral is a trapezoid.

Now calculate the slopes of those sides using the slope formula;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Calculate the slope of AB (where x₁ = 8, y₁ = 21, x₂ = 10, y₂ = 27)

m(AB) = [tex]\frac{27-21}{10-8}[/tex]

m(AB) = [tex]\frac{6}{2}[/tex]

m(AB) = 3

Calculate the slope of CD (where x₁ = 26, y₁ = 26, x₂ = 18, y₂ = 2)

m(CD) = [tex]\frac{2-26}{18-26}[/tex]

m(CD) = [tex]\frac{-24}{-8}[/tex]

m(CD) = 3

Since the two slopes - m(AB) and m(CD) slopes are equal to 3, the quadrilateral ABCD is a trapezoid.

Find the missing probability.

P(A) = 7/20 P(B) = 7/10 P(A and B) = 49/200 P(A or B) = ?

A) 27/40 B) 161/200

C) 16/25 D) 51/100

Answers

Answer:

2740 is the correct answer

Answer:B is correct

Step-by-step explanation:

The Langs family drove 225 miles to a beach. Most of their travel was on interstate highways. The Langs drive 65 miles per hour on the last 45 miles of their trip. On average, the Langs traveled 20 miles on one gallon of gas. The gas tank on the Langs' car holds 15 gallons of gas. The Langs had a full tank when their trip began. How many times did they stop to refill the tank before they reach the beach

Answers

Answer:

Step-by-step explanation:

what's 5/6 as a decimal ?? plz help

Answers

Answer:

0.83333

Explanation:

What is the slope of the line in the graph?

Answers

Answer:

m=0

Step-by-step explanation:

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10°C?

Answers

Answer: [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

Temperature increase is [tex]10^{\circ}C[/tex]

We know, conversion scale of Celcius to Fahrenheit is  

[tex]0^{\circ}C\times \dfrac{9}{5}+32=32^{\circ}F[/tex]

for [tex]10^{\circ}C[/tex], it is

[tex]\Rightarrow 10\times \dfrac{9}{5}+32\\\\\Rightarrow 18+32=50^{\circ}F[/tex]

It is equivalent to [tex]50^{\circ}F[/tex]

Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain

Answers

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]

Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?

Answers

Answer:

33 years and 4 months.

Step-by-step explanation:

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months

When instructed to find the length of HJ in right

triangle HJG, Alex wrote the equation

HJ

HJ

sin 28° = while Marlene wrote cos 62°

20

20

Are both students' equations correct? Explain

why.

H

+

20

28

O

G

Answers

See attachement for the diagram of the triangle

Answer/Step-by-step explanation:

To find the length of HJ, we can use different equations as follows:

✔️Recall: SOHCAHTOA

Let's take <G as the reference angle = 28°

Opposite side to reference angle = HJ

Hypotenuse = 20

Apply SOH.

Thus:

Sin 28° = opp/hyp

Sin 28° = HJ/20 (Alex's equation is correct).

Solving further, we would have:

HJ = Sin 28 * 20 ≈ 9.4

✔️Another way is by using <H as the reference angle.

m<H = 180° - (90° + 28°) (sum of triangle)

m<H = 62°

Adjacent side to reference angle (<H) = HJ

Hypotenuse = 20

Apply CAH:

Cos 62° = Adj/Hyp

Cos 62° = HJ/20 (Marlene's equation is correct)

Solving further, we would have,

HJ = Cos 62° * 20 ≈ 9.4

As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.

Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *

Answers

Answer:

The cylinder with a height of 7.0 cm and a diameter of 10.0 cm

Step-by-step explanation:

v = πr²h

---------------------

cylinder with a height of 10.0 cm and a diameter of 7.0 cm

v = π(3.5²)10

v = 384.65 cm³

cylinder with a height of 7.0 cm and a diameter of 10.0 cm

v = π(5²)7

v = 549.5 cm²

549.5 > 384.65

The second cylinder holds more

Can someone help me? Don’t put a link I will report links

Answers

Answer:

3.5

Step-by-step explanation:

ano ang dapat tandaan sa pagbuo ng plano ng proyekto​

Answers

Answer: kung ano ang dapat tandaan ay na kailangan mong makuha ang bawat detalye at gawin ang mga bagay na mabagal upang hindi ka makaligtaan anything. Pinaka utok pls

Step-by-step explanation:


At a hockey game, a vender sold a combined total of 136 sedas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold

Answers

Answer: just do 3x136

step-by-step explanation:

bfui3qtwsd3wa CAF

The number of sodas sold is 102 and the number of Hot dogs sold is 34.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, At a hockey game, a vendor sold a combined total of 136 sodas and hot dogs.

Let "x" be the number of hot dogs sold

Since The number of sodas sold was three times the number of hot dogs sold.

thus,

Number of Sodas sold = 3 * x

Since total items sold = 136

x + 3x = 136

4x = 136

x = 34

Thus, the number of Sodas sold = 34 * 3

the Number of Sodas sold = 102

therefore, the number of sodas sold is 102 and the number of Hot dogs sold is 34.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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WILL MARK AS BRAINLIEST!! ASAP
if y is inversely proportional to x and y = 7 when x = 9, find x when y = 14.

Answers

Y = k/x for some fixed number constant k

7 = k/9

k = 63

so Y = 63/x

14 = 63/x

14 x = 63

x = 63/14 = 9/2

A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. does the tank have enough water to fill 250 spherical shaped water balloons if each of the water balloons has a radius of 2 inches? Explain plz

Answers

Answer:

yes It has

Step-by-step explanation:

v of the tank

v= [tex]\pi[/tex]r^2  h

v=3.14*144*20

v=9034

the v of each ballon :

V = 4/3 [tex]\pi[/tex]r^3

v=4/3 * 3.14 .8

v= 33.5

all the ballons v is 250 * 33.5 = 8373

9034-8373 = 661 v of the water in the tank would be left

What is the volume of a sphere with a diameter of 49.3cm, rounded to the nearest tenth of a cubic centimeter?

Answers

The answer is V≈62739.26cm³

Write the equation 8x-2y=10 in slope intercept form.

Answers

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Which expression uses the distributive property to represent the sum of 72 + 24?

Answers

Answer:

a+b

Step-by-step explanation:

or any letter as long as it has the plus sign

The required expression for the given property is 8(9 + 3).

What is distributive property?

The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.

The given expression is 72 + 24

In distributive form it can be written as,

GCF of 72 and 24 is 8.

Then, 72 = 8 × 9 and 24 = 8 × 3

Now, the given expression can be rewritten as below,

8 × 9 + 8 × 3

Take 8 as common to get,

8(9 + 3)

Hence, the expression that represents the distributive property is 8(9 + 3).

To know more about distributive property click on,

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Angle a and b are supplementary angles, and a is x-3 and b is x+14 what are the measures of angle a and b

Answers

Answer:

a = 81.5

b = 98.5

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

a = x-3

b = x+14

In supplementary angles , the formula are as follows,

a + b = 180

By putting the value, we get

x - 3 + x + 14 = 180

2x + 11 = 180

2x = 180 - 11

2x = 169

x = 169 ÷ 2

x = 84.5

So, a = 84.5 - 3

= 81.5

b = 84.5 + 14

= 98.5

Which side lengths cannot form a triangle? Select all that apply.

7 cm, 8 cm, 13 cm

16 cm, 4 cm, 18 cm

24 cm, 14 cm,9 cm

11 cm, 21 cm, 13 cm

11 cm, 22 cm, 11 cm

Answers

7cm,8cm,13cm

16cm,4cm,18cm

11cm,21cm,13cm

Which equation is a linear function?

Answers

Either the first or last but I think it is first

Answer:

B. y = x

Step-by-step explanation:

Linear function has the form of:

y = mx + b

Only one of the choices, B is representing the linear function:

y = x

Raja drove from A to B at an average speed of 50mph

The distance between A to B is 10 Miles

Raja took 30 minutes to drive from A to C

He drove from A to C at an average speed of 62mph

Work out Raja’s average speed as he drove from B to C

Answers

Answer:

44.7

Step-by-step explanation:

Speed = distance / time

speed from distance a to b = 50 = 10 / time

time = 10/50 = 12 minutes

Speed from a to c = 62 = distance / 30 minutes

distance = 62 x 0.5 = 31 m

diatance from b to c = 31 - 10 = 21

time = 30 - 12 = 28 minutes

speed = 21 / 28 minutes

31 / 0.47

State six ordered pairs for this function.
F(x) = x2 +14x+45

Answers

i only could look up three but here:
(
0
,
45
)
,
(
1
,
60
)
,
(
2
,
77
)

Please help me with my work give brainlessly

Answers

Answer:

Volume = 684 in^3

Step-by-step explanation:

To start, the equation for Volume = L*W*H

So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:

6*6*6 to get the volume of just it

216

Next. lets get the rectangular prism.

6*6*13

468

Last, combine these.

684 in^3

Peyton opened a savings account with $1800 that pays no interest. She deposits an additional $200 each week thereafterHow much money would Peyton have in the account 40 weeks after opening the account?

Answers

Answer:

Step-by-step explanation:

Answer:

9600

Step-by-step explanation:

1800+200(40-1) = $9600

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