The diagonal of a television measures 27 inches. If the width is 22 inches, calculate its height to the nearest inch.
Answers
Answer:
16 inches
Step-by-step explanation:
We can use the Pythagorean theorem to find the height of the television. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two smaller sides is equal to the square of the length of the longest side (the hypotenuse). In this case, the diagonal of the television is the hypotenuse and the width and height are the other two sides.
So, we can set up the equation as follows:
a^2 + b^2 = c^2
where a is the width (22 inches), b is the height, and c is the diagonal (27 inches).
We can solve for b:
b^2 = c^2 - a^2
b^2 = 27^2 - 22^2
b^2 = 729 - 484
b^2 = 245
b = √245
b = 15.56 inches (rounded to two decimal places)
So, the height of the television to the nearest inch is 16 inches.
Related Questions
what is 46 divided by 107
Answers
Answer:
0.42990654205
Step-by-step explanation:
Answer: 46/107 or 0.429907 in decimal form
Step-by-step explanation:
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 20
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 40
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point one third comma 0
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point 1 comma 40
Answers
Option (A) Graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 20.
Step-by-step explanation:The graph of the linear equation y = 20 + 10x for the given scenario is attached below.
The Cartesian coordinates of a specific point on the Euclidean plane can be thought of as each solution inside the scenario involving two variables.
A linear equation's solutions define a line inside the Euclidean plane, and each line may be viewed as the aggregate of all solutions to a linear model with two variables. This is how this category of equations came to be known as "linear." The solutions to a system of equations with integer variables collectively constitute a hyperplane in the Euclidean space with size n. (a subdomain of dimension n₁).Because linear equations may frequently accurately represent non-linear systems, they are used extensively in all branches of mathematics as well as in physics and engineering.Here the equation is given as y = 20 + 10x
Therefore at x = 0 , y = 20 and at y = 0, x = -2
This represents that the fixed monthly fee is 20 and the daily fee is 10.
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
Hope my answer is correct.
Please don’t delete my answer if it is incorrect.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.8° is added to the data, how does the range change?
Answers
Answer:
The original data set would be:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
So to find the range you would do:
105 - 57 which equals 48.
So the range for the original data set would be 48.
The new data set adding 80.8:
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
So to find the range for the new data set you would do:
105 - 57 which would still equal 48.
So the range for the new data set would be 48.
The range for the original and new data set stayed the same.
Step-by-step explanation:
You're welcome.
Step 2: find the range
105 - 57 = 48
The range for the original data set is 48.
The new data set is adding 80.8
Step 1: find the new data set.
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
Step 2: find the range
105 - 57 = 48.
The range is still the same for the original and new data set.
Mandy and steve spend the same amount of money in a arcade, nothing playing the same number of games. Mandy played $0.50 games and spent $10 on food. Steve played $0.75 games and spend $6 on food. How many games did each person play?
Answers
Answer:
Step-by-step explanation:
7TH GRADE MATH : HELP ASAPPPP QUICK !!!
The average high temperature in July in Moscow is 23°C. One day in July 2010,
the temperature was 14.2° higher than normal. Just four days later, a record high
temperature of 39°C was set. How much higher was the record temperature than the
high temperature four days earlier?
1. What is the hidden question?
2. What is the answer to the hidden question? Show your work.
3. What is the main question?
4. What is the answer to the main question? Show your work.
Answers
he hidden question is what the temperature was four days prior to the record high temperature of 39°C.
To find the temperature four days earlier, subtract 14.2°C from the record high temperature of 39°C:
39°C - 14.2°C = 24.8°C
The main question is how much higher the record temperature was than the high temperature four days earlier.
To find the answer, subtract the temperature four days earlier (24.8°C) from the record high temperature (39°C):
39°C - 24.8°C = 14.2°C.
So, the record temperature was 14.2°C higher than the high temperature four days earlier.
Roy wants to buy a new wireless phone for $200.two stores offer different payment options.which plan has a greater initial value?which phone will be paid for at a faster rate?
Answers
Answer:
the option with the graph has a higher initial value
Step-by-step explanation:
this is because the initial value of store B is $50, and the initial value of store A is $150
The table represents a linear relationship.
x −1 0 1 2
y −2 0 2 4
Which of the following graphs shows this relationship?
graph of a line passing through the points negative 2 comma negative 4 and 0 comma 0
graph of a line passing through the points negative 2 comma negative 1 and 0 comma 0
graph of a line passing through the points negative 2 comma 4 and 0 comma 0
graph of a line passing through the points negative 2 comma 1 and 0 comma 0
Answers
Answer:
Step-by-step explanation:
second one
Answer:
Step-by-step explanation:
the second answer
Question 3
The expressions in the table represent the ages of Tito and Marie.
Person Age (years)
Tito 5x+2
Marie 4x−1
How much older is Tito than Marie? Write the expression in simplified form.
__ year(s)
Answers
Explanation:-
Since Tito is older than Marie you have to subtract both the expressions
5x + 2 - 4x - 1
5x - 4x +2 - 1
x + 1
So that’s how you find an expression for how much older is Tito than Marie
Daryl made 26 out of his last 32 free throws. What is the experimental probability that he will make his next free throw?
Answers
Answer:
81.25%
Step-by-step explanation:
Answer: C. 81.25%
Step-by-step explanation:
We know that Daryl has 32 free throws, and he already made 26 of them. To turn this into a percentage, we need to multiply 26/32 by 100.
To make it easier, 26/32 is equal to 13/16.
13/16 times 100 is equal to 81.25!
he average high temperature in July in Moscow is 23°C. One day in July 2010,
the temperature was 14.2° higher than normal. Just four days later, a record high
temperature of 39°C was set. How much higher was the record temperature than the
high temperature four days earlier?
1. What is the hidden question?
2. What is the answer to the hidden question? Show your work.
3. What is the main question?
4. What is the answer to the main question? Show your work.
Answers
Answer:
Below
⬇️
Step-by-step explanation:
1. The hidden question is "What was the high temperature four days earlier?"
2. To find the high temperature four days earlier, we need to subtract 14.2 from the record high temperature of 39°C:
39 - 14.2 = 24.8°C
3. The main question is "How much higher was the record temperature than the high temperature four days earlier?"
4. To find the difference between the record temperature and the high temperature four days earlier, we need to subtract 24.8 from 39:
39 - 24.8 = 14.2°C
So, the record temperature was 14.2°C higher than the high temperature four days earlier.
Find n
35/49 = 5/n
Heeeeeelp!!!!
Answers
Answer:n=7
Step-by-step explanation:
Answer:
n = 7
Step-by-step explanation:
35/49 = 5/n
1. cross multiply
35*n = 49 *5
35n = 245
n = 245/35
n = 7
PLEASE HELP!!!
-8(-3/4s - 6) Find the product.
Answers
Answer:
6s+48
Step-by-step explanation:
[tex]\displaystyle -8\biggr(-\frac{3}{4}s-6\biggr)=(-8)\biggr(-\frac{3}{4}s\biggr)+(-8)(-6)=6s+48[/tex]
Answer:
6s+48
Step-by-step explanation:
-3/4 x -8 = 6
6s+ (6 x -8)
6s+48
Please help me and show work please.
Answers
Answer:
25.12 km
Step-by-step explanation:
The circle shape shown around the sphere is the circumference. The red line halfway through is the radius. To find the circumference of the circle using the radius, you must use this method: C = (2)(3.14)(r). 2 x 3.14 = 6.28. Next, multiply 6.28 x 4 because 4 is the radius. That equals 25.12. Therefore the circumference of the circle = 25.12 km.
HELP ME PLEASE WORTH A LOT OF POINTS!!
Answers
Answer:
13.625
Step-by-step explanation:
ANSWER FAST PLEASE AND THANK YOU!!!
Answers
Answer:48
Step-by-step explanation:
Becuause you multiply 15x3=45 and then the gives you 48
Answer: 51 miles away
Step-by-step explanation:
If a single inch is 15 miles in proper scale, this means that we would need to multiply 15 by 3.4.
15mi x 3.4in = 51 miles
please help!!!
I need a answer asap!
Answers
Answer:
y=2x
Step-by-step explanation:
a bus has a maximum capacity of 70 passengers. There are 28 riders on the bus. What are all the possible numbers of riders, r, who can get on the bus if no riders get off
Answers
70-28 = 42
Just subtract 70 and 28 I think
What is the area of a rectangle with a length of Four and two-fourths meters and a width of Seven and five-sixths meters? 50 POINTS
Thirty-five and six twenty-fourths m2
Twenty-eight and ten twenty-fourths m2
Twenty-eight and seven-tenths m2
Twenty-two and ten-twelfths m2
Answers
Answer:
.
Step-by-step explanation:
.
The area of the rectangle will be 35⁵/₂₄ square meters.
What is the area of the rectangle?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The area of the rectangle is calculated by the formula below:-
Area = Length x Width
Area = 4⁴/₄ x 7⁵/₆
Area = (18 / 4) x ( 47 / 6 )
Area = 141 / 4
Area = 35⁵/₂₄ square meters
Therefore, the area of the rectangle will be 35⁵/₂₄ square meters.
Nguyen has the following cans of soup in his pantry:
4 cans of chicken noodle soup
2 cans of tomato soup
3 cans of vegetable soup
3 cans of potato soup
He randomly chooses a can of soup for lunch. What is the probability that he will choose tomato soup?
Answers
Answer:
Step-by-step explanation:
The chance is 1/3!
hope this helps!
what is the x-axis and y-axis
Answers
Answer:
The two perpendicular lines on a coordinate grid. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.
Step-by-step explanation:
Hope it helps! =D
Answer:
The line which is horizontal on the graph is x-axis and the vertical line that is y-axis
Step-by-step explanation:
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy have the same amount of money they spent $7.50 on a ticket. How much money did each boy have left after buying his ticket. (Just answer the question in the picture please)
Answers
Answer:
$2.50
Step-by-step explanation:
$40.00 divided by 4 friends equals $10.00 each.
$10.00- $7.50= $2.50
Hope this helps!!!
I REALLY NEED A SOLUTION!
please help, I appreciate if you do.
Thanks :)
Answers
Answer:
A solution to what? There is no image?? Could you please explain?
Step-by-step explanation:
Answer:
Step-by-step explanation:
9x3= 27
9x4= 36
9x5 = 45
so you have a lateral surface area of 108
add in the triangle pieces that are 3cm on each side and the triangle rule is 1/2 so it would be 6 on each "wing"
so you would have 27+36+45+12 = 120cm2
SOLVE: 4³ + 6 · (4² - 3²) Please help .
Answers
Answer:
70
Step-by-step explanation:
see attached image for sol
First to simplify the problem by squaring he numbers that need to be squared
64+6(16-9)
Then follow PEMDAS, and finish the equation that is inside the parenthesis.
64+6(7)
Then multiply 6 and 7.
64 + 42
Then add.
106.
hey!! im not rlly good at this stuff and im trying to help out a friend, can one of u guys give me the answers to this?
Answers
Answer:
Step-by-step explanation:
use the protracter and the ruler to cunstruct this triangle
step 1: take a base line and use the protracter to draw a 150 degree angle
step 2: one the other side of the base draw a 15 degree angle and join till it reaches the 150 degree angle
Answer:
Step-by-step explanation:
Here, the red angles are both 15 degrees and the left one is 150. Don't get confuse on what I made. It's just the proof
Max says that the product of 2/3 x 3/8 is greater than 3/8. Is Max correct?
Answers
Answer:
2/3*3/8=6/24 = 1/4
1/4 is lesser than 3/8. Max is wrong.
Step-by-step explanation:
Answer:
2/3 * 3/8 = 1/4= 0.25
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
(JUST FOR FUN IM OFFERING POINTS) 6 divided by 4995
Answers
Answer:
4995/6 = 832.5
Wait, or is it supposed to be:
6/4995= 0.0012012012
Step-by-step explanation:
Hope it helps! =D
Brainliest please??
Answer:
0.0012012012
Step-by-step explanation:
i don't know why you did this but ok
Ben chose c as the correct answer.how did he get that answer?
Answers
Answer:
Ben must have thought the answer was C because the variables in Equation B are of bigger numerical value. Still, Ben is incorrect.
Step-by-step explanation:
help me with this topic pls!
no wrong answers allowed :(
Answers
(15m + 20p) + 25q = 15m + (20p + 25q)
What property is this?
Identity Property
Distributive Property
Associative Property
Commutative Property
Answers
commutative property
Step-by-step explanation:
still the same number just fliped around