Answer: Height: 24.9 inch, Width: 44.3 inch
Step-by-step explanation:
The total height of the TV is given by H = 28 inches
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , We can use the Pythagorean theorem to find the height of the TV. Let h be the height of the screen in inches. Then, we have:
h² + 45² = 51²
Simplifying and solving for h:
h² = 51² - 45²
h² = 2601 - 2025
h² = 576
Taking square roots on both sides , we get
h = √(576)
h = 24 inches
Therefore, the height of the screen is 24 inches.
To find the total height of the TV, we need to add the 4 inches from the base to the height of the screen:
Total height of the TV , H = 24 + 4
Total height of the TV , H = 28 inches
Hence , the total height of the TV is 28 inches.
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The complete question is attached below :
Ava has a large-screen TV. The TV has a screen with a 51-inch diagonal and a width of 45 in. The base of the TV is 4 in. from the bottom of the screen. what is the total height,h,in inches, of the TV?
Using the graph below with the following point find the length of the two diagonals to determine if TUVW is a rectangle or not T(-5,0) U(7,3) V(9,-6) W(-3,-9)
The lengths of each diagonal are given as follows:
[tex]TV = \sqrt{232}[/tex][tex]WU = \sqrt{244}[/tex]As the lengths are different, the polygon TUVW is not a rectangle.
How to obtain the diagonals?The diagonal length is obtained using the formula for the distance between two points, presented as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In which [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of each point.
The first diagonal is TV, and the length is given as follows:
[tex]TV = \sqrt{(9 - (-5))^2 + (6 - 0)^2} = \sqrt{232}[/tex]
The second diagonal is WU, and the distance is given as follows:
[tex]WU = \sqrt{(-3 - 7)^2 + (-9 - 3)^2} = \sqrt{244}[/tex]
A rectangle has diagonals of equal length, hence the polygon for this problem is not a rectangle.
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Janelle is on the drill team. At her last
practice, Janelle improved her best time
by 3/8 of a second. Which shows 3/8 written in
decimal form?
Answer:
3/8=0.375
Step-by-step explanation:
Multiply: -z^3(5 + z - 4z^2)
Answer:
4z^5 - z^4 - 5z³
Step-by-step explanation:
-5z³ - z^4 + 4z^5
Can someone help me?
Answer:
+6 dollars
Step-by-step explanation:
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answer:
The values are 13 and 1
I hope this is correct
Which graph best represents a function with a domain of all real numbers greater than or
equal to 1 and less than or equal to 2?
The graph best represents a function with a domain of all real numbers greater than or equal to 1 and less than or equal to 2 are area between equation x + y [tex]\geq[/tex] 1 and x + y [tex]\leq[/tex] 2 .
Which function has a domain that includes all real numbers?The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers other than x=0.
How do you plot all real values on a graph?The real numbers are all the numbers that make up the real number line, per definition. Thus, all real numbers can be graphed by simply drawing a number line. The number line is a graph of all real numbers since it contains all of the rational numbers.
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HURRY, GIVING BRAINLIEST
Answer:
8
Step-by-step explanation:
I attached an image below. Basically the symbols || means absolute value, meaning the distance between that number and 0. It will always be a positive number. Then, I solved the equation as normal using PEMDAS, multiplying first then going left to right, then I got 8.
Hope this helps !!
-Ketifa
What is one way you could use the positive feelings from a situation toward a future motivation?
Develop a positive personal process and focus
Remember the “How could I do better?” mentality
Tell the adults in your life to hold you accountable
Be content with not being successful at everything
Answer:
One way to use positive feelings from a situation towards future motivation is to focus on the positive aspects of the experience and try to replicate them in the future. For example, if you had a particularly enjoyable and successful project at work, you might try to identify the specific factors that contributed to your success and seek out similar opportunities in the future. This approach can help you to build on your strengths and experiences and maintain a positive and motivated outlook. Additionally, setting specific goals for yourself and tracking your progress can help to keep you motivated and on track towards future success.
Find the
equation of the circle with center at (3, -2) and radius of 3.
Can someone please help me with math.
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.
[tex](9)^2 +(12)^2 = (c)^2[/tex]
Simplify,
[tex]81+144=c^2\\\\225=c^2[/tex]
Inverse operations,
c = 15
Help me out with this question (geometry)
Answer:
m<8=m<4=105
m<4=180-(4x-1)
=180-4x+1
105 =-4x+181
4x= 181-105
4x=76
X=19
m<6=180-105
=75
y-31=75
y =75+31
y=106
X+y=19+106
=125
Is y 2x 3 in slope intercept form?
Answer:
y=2x+3
Step-by-step explanation:
y=mx+b
y=2x+3
help help help i’ll kiss u please
Answer:
500 cm2
Step-by-step explanation:
THIS ISNT MY WORK THIS IS THE WORK OF WALBER000
The dimensions of the prism are 7 cm, 9 cm and 20 cm.
So the three areas we want to find are three rectangles, with the sides:
7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm
The area of each rectangle is:
rectangle_1 = 7 * 20 = 140 cm2
rectangle_2 = 9 * 20 = 180 cm2
rectangle_3 = 9 * 20 = 180 cm2
Summing all these three areas, we have:
Total area = 140 + 180 + 180 = 500 cm2
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There are two numbers such that one of the numbers is 5 2/7 more than twice the other number. If you multiply the smaller number by 5, the product is twice the larger number. What are the two number? Please no links and answer fast!
Answer:
Smaller number: 10 4/7
Bigger number: 26 3/7
Step-by-step explanation:
How I did this problem was very simple, so first I made my different numbers, the smaller number being x, and the larger number being
2x+5 2/7. Then, I did the equation 5x=4x+ 74/7. How I got this equation was I multiplied 5 2/7 into 2 and got 74/7. After the equation, I got my answers, then double checked them.
You are welcome!
What is the volume of the solid hemisphere?
Answer:
volume of the hemisphere
[tex] \frac{1}{2} \times \frac{4}{3} \times \pi \times {3}^{3} \\ \frac{2}{3} \times 27 \times \pi \\ 18\pi {cm}^{3} [/tex]
The cost to hire a tent consists of two parts. $c + $d per dayThe total cost for 4 days is $27. 10 and for 7 days is $34. 30. Write down two equations in c and d and solve them
The cost to hire a tent consists of a fixed cost of $17.50 and a variable cost of $2.40 per day.
Let's call the total cost of hiring a tent for 4 days as T4, and the total cost of hiring a tent for 7 days as T7.
The first equation is the cost for 4 days:
T4 = c + 4d
The second equation is the cost for 7 days:
T7 = c + 7d
We know the values of T4 and T7 from the problem statement:
T4 = $27.10 and T7 = $34.30
We can now use these two equations and their corresponding values to solve for c and d:
Substitute the value of T4 into the first equation:
$27.10 = c + 4d
Substitute the value of T7 into the second equation:
$34.30 = c + 7d
Now we have a system of two equations with two variables (c and d).
Subtract 4d from both sides of the first equation:
$27.10 - 4d = c
Subtract c from both sides of the second equation:
$34.30 - c = 7d
Now we can substitute the value from step 4 into step 5:
$34.30 - $27.10 + 4d = 7d
7d = $34.30 - $27.10 + 4d
3d = $7.20
d = $7.20 / 3 = $2.40
Now we have the value of d, we can substitute it back into the first equation to find the value of c:
$27.10 = c + 4d
$27.10 = c + 4($2.40)
$27.10 = c + $9.60
c = $27.10 - $9.60
c = $17.50
Therefore, c= $17.50 and d= $2.40
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What is the midpoint of 1 and 2 and 3 and 4?
The midpoint of 1 and 2 and 3 and 4 is (2,3).
The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2.
The end of a line at a point that is equally distant from both ends, a time interval between an event's beginning and end.
The point on a graph or figure where the figure stops might be referred to as the endpoint. It can be the point joining the sides of a polygon (the vertex), the common endpoint of two rays making an angle, the two extreme points of a line segment, the one end of a ray.
Use numbers, fractions, mixed numbers, or decimals to enter two points. The midpoint calculator displays the required research:
Halfway between the two specified pointsOne endpoint and a midpoint are provided.The separation of two endpoints.Additionally, the calculator offers a link to the Slope Calculator, which will solve and display the work necessary to identify the slope, line equations, and x and y intercepts for any given pair of points.To learn more about midpoint:
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Please answer question plz!!!!!
Answer:
V = 214.32
Step-by-step explanation:
Remark
You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.
Formula
V = (h1 - h2)* Base
Givens
h1 = 32.9
h2 = 29.1
Base = 56.4
Solution
V = 56.4 ( 32.9 - 29.2)
V = 56.4 * 3.8
V = 214.32
Amare is buying museum souvenirs. He buys 3 animal figures
and 6 bookmarks for $33. Later he goes back to buy 3 more
figures and return 3 of the bookmarks, spending another $6.
In the system, fis the price of a figure and b is the price
Al Pisto
of a bookmark.
3f + 6b = 33
3f-3b = 6
How much does each figure cost? How much does each bookmark cost?
Answer:
Each animal figure cost $2 dollars and each bookmark cost $4.50 dollars
Step-by-step explanation:
I got this answer is because second part of the question it says "Later he goes back to buy 3 more figures and return 3 of the bookmark spending another $6". The information this gives us is that since he bought nothing but animal figures and bought 3 animal figures and spent $6 dollars that tells us that each animal figure cost $2 dollar knowing this we can figure out the first part since in the first part he spent $33 dollars in total and bought 3 animal figures and 6 bookmarks and we know each animal figure cost $2 dollars we know in total he spent $6 dollar on animal figures and he spent $27 dollar on bookmarks doing division 27 divided by the number of bookmarks he bought we figure out the cost of one bookmark so doing this the answer is one animal figure is $2 dollars and one bookmark is $4.50.
I hope this help this is less of a math problem and more of a logic one this took me a while of rereading to figure out!
Give me a thanks.
7. You have $2 worth of quarters, dimes, and nickels
and you have 12 total coins. How many of each do you
have?
Answer:
6 quarters, 4 dimes, and 2 nickels
Please help:( if anyone is good at algebra, assist me in this tragic time
Step-by-step explanation:
x -2 -1 2 7
y -6 -6 -2 3
All y are in under root
whats the value of x? ill give brainliest
Answer:
150°
Step-by-step explanation:
180-30=150...............
Answer:
150º
Step-by-step explanation:
the value of q is 180º, so 180 - 30 = 150
Helen told her mom she got 85% on a recent math test. She remembered the test was out of 60. What was her actual mark? *
Answer: 85% out of how many questions.
Step-by-step explanation:
Simplify
(12 – 3) + 15+5 (-2)
Answer:
14
Step-by-step explanation:
The multiplication must be done before the addition and subtraction.
(12 – 3) + 15+5 (-2)
becomes (9) + 15 + 5(-2), which in turn becomes
(9) + 15 - 10, or 14
A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter
Answer:
y=4x+12
Step-by-step explanation:
if a line is parallel to another they have the same slope ,,
y=mx+c
where m represents the slope
and c represents the intercepted part of y axis
so the slope equals 4 from y=4x+11
to find the intercepted part c ,, substitute by the given point in the equation y=mx+c
(-2,4),, and slope is 4
4= 4×-2+c
4= -8+c
c= 12
so the equation is
y=4x+12
Answer:
y =4x-18
Step-by-step explanation:
y +2 = 4(x - 4)
y +2 =4x-16
y = 4x-18
Mary reached chool at 7:30 AM, and left for home at 12:45 PM. How long he tayed in the chool
Anwer with explanation
Answer:
5 hours and 15 minutes.
Step-by-step explanation:
7:30 - 8:00 is 30 minutes
8:00 - 12:00 is 4 hours
12:00 - 12:45 is 45 minutes
30 minutes plus 45 minutes is 1 hours and 15 minutes
4hours + 1 hour and 15 minutes is
5 hours and 15 minutes
or
5 1/4 hours
or
315 minutes.
I am not sure what form you want.
PLEASE ANSWER ASAP!
The question is on the screenshot
Answer:
A
Step-by-step explanation:
Cross multiply
2x8 over 3x6
Answer:
B. i beleive
Step-by-step explanation:
what’s the perimeter of a rectangle that’s
6m
6m
9m
9m
Answer:
30
Step-by-step explanation:
perimeter is the outside of a shape so just add them all together honestly
Help me
With stepsss pleaseee
Answer:
Step-by-step explanation:
Decrease #2000 by 20%
Answer:
400
Step-by-step explanation:
2000 divided by 20% is 400