Answer:
Width = 44.45 inches
Height = 25.00 inches
Step-by-step explanation:
(16x)^2 + (9x)^2 = 51^2
256x^2 + 81x^2 = 2601
337x^2 = 2601
x^2 = 7.718
x = 2.778
Width = 44.45 inches
Height = 25.00 inches
I think this is right
The width and height of the given TV screen will be 44.45 inches and 25.00 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
The length of any TV is measured diagonally.
So,
Diagonal = 51 inches
Now the ratio is ;
W/H = 16 / 9
Let's say both are fractions of x
So,
Width = 16x , Height = 9x
By Pythagoras theorem,
(16x)² + (9x)² = 51²
256x² + 81x² = 2601
337x² = 2601
x² = 7.718
x = 2.778
So width = 16(2.778) = 44.45 inches.
And height = 9(2.778) = 25.00 inches
Hence "The width and height of the given TV screen will be 44.45 inches and 25.00 inches".
For more about rectangles,
https://brainly.com/question/15019502
#SPJ2
How many times larger is 5 × 10^6 than 5 × 10^2
Answer:
3 times
Step-by-step explanation:
The number 5 x 10⁶ is 10000 times greater than the number 5 x 10².
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the numbers are 5 x 10⁶ and 5 x 10². How many times the number is greater will be calculated by dividing the bigger number by the smaller number.
E = ( 5 x 10⁶) / ( 5 x 10² )
E = 10000
Therefore, the number 5 x 10⁶ is 10000 times greater than the number 5 x 10².
To know more about an expression follow
https://brainly.com/question/28602085
#SPJ2
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
Make ”a” the subject of the formula 9a-8=2(a-b)
Answer:
Step-by-step explanation:
9a - 8 = 2a - 2b
7a - 8 = -2b
7a = 8 - 2b
a = (8 - 2b)/7
The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is l atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level? A) P 33 B) p 33f C) p 33f+ 1
Answer:
ooooooooooooooooooooooooo
The linear function that gives the total pressure exerted on an underwater object at a depth of f feet below sea level is given by:
p = l + 0.0303f.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
The pressure changes by 1 for each 33 feet of depth, hence m = 1/33 = 0.0303.The initial pressure is of l, hence b = l.Thus, the function is given by:
p = l + 0.0303f
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ2
And Louisa bakes a batch of brownies she is 1/2 cup of chocolate. If she has 3/2 cups of chocolate remaining how many batches of Brownies can Louisa make.
PLEASE HELP ME IM BEGGING YOU
Answer:
A: 2x-1
Step-by-step explanation:
Graph it. if you plug in the x and y of (1,1)
1= 2(1)-1
1=2-1
correct
Answer: A
Step-by-step explanation:
Since we are given the slope, all we have to do is use the given point to find the y-intercept.
y=2x+b [plug in (1,1)]
1=2(1)+b [multiply]
1=2+b [subtract both sides by 2]
b=-1
Now, we know the equation is y=2x-1.
PLEASE HELP!
Reduce to simplest form.
5/8 - (- 7/2)
Answer:
[tex]\huge\boxed{\sf 4\frac{1}{8} }[/tex]
Step-by-step explanation:
[tex]\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}[/tex]
[tex]\sf =\frac{5}{8}+ \frac{7}{2} \\\\=\frac{5+28}{8}[/tex]
[tex]\sf =\frac{33}{8} \\\\=4\frac{1}{8}[/tex]
Hope this helped!
~AnonymousHelper1807Is 39,052 divisible by 3?
Answer:
no as the answer would be a decimal
Step-by-step explanation:
an easier way to know is to add up all the digits
3 + 9+0 +5+2= 19 and if that number is a multiple of 3 then it will be divisible by 3
this works for any number that should be divided by 3
example
is 2345 divisible by 3
2+3+4+5 =14 so no it is not divisible by 3
example
is 12345 divisible by 3
1+2+3+4+5 =15 so yes it is divisible by 3
hope this helps
pls can u help me with my most recent question pls and thx
5/8 divided by 5 what is the answer in fraction form
Answer:
1/8
Step-by-step explanation:
is x and x2 a like term
Answer:
i would like to say yes.
Step-by-step explanation:
really easy questions just too lazy to solve them - will give a lot of points - answer as many as you want
Answer:#8 Ryan is 10 years old.
Step-by-step explanation:
Answer:
3. I think $4
Step-by-step explanation:
a music CD costs $18. What is the total cost of the CD if there is a 6.25%sales tax?
Answer:
$19.13
Step-by-step explanation:
18 + 6.25 is 19.125 and you would round that to 19.13 as your total
HELP TRUE OR FALSE 25 POINTS!!
Answer:
False because the A does not have a dot on it.
You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve an equation to find the additional number x of cookies you need to bake in order to have 2 cookies for each student. Write your equation so that the units on each side of the equation are cookies per student.
Equation: The equation has to equal 2
=2
Number of cookies: x=
Please help Thank you
Answer:
12+2x=46 x=17 cookies
Step-by-step explanation:
First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.
An ounce of silver is worth $20.16 per ounce. How much is 13.5 ounces of silver worth?
Answer:
13.5 ounces of silver is worth $272.16
Step-by-step explanation:
since it is $20.16 per ounce, simply multiply 20.16 and 13.5 to get 272.16
Step-by-step explanation:
Times 20.16 by 13.5 and you will get 272.16
In how many ways can 11 bowlers be
selected from 25 who came to a bowling ally?
using npr or ncr
Answer:
Yes ans = 27720. Total possibilities = C(4,1) * C(6,4) * C(11,6) = 27720.
Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D
Answer:
a.
Step-by-step explanation:
It appears to be increasing in increments of ten
Help please!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4x=2(x+6)
4x=2x+6
2x=6
x=3
Find the distance between points P(5, 1) and 2(3, 4) to the nearest tenth.
Answer:
using distance formula =√(5-3)sq+(1-4)sq
=√4+9
=√13
Step-by-step explanation:
Sovle for x . 4(x-4)=36
Answer:
below
Step-by-step explanation:
[tex]x.4 ( x-4) = 36 \\[/tex]
[tex]4x(x-4) = 36 \\[/tex]
[tex]4x^{2} - 16x = 36[/tex]
add -36 to both sides
[tex]4x^{2} - 16x - 36 = 36 -36 \\4x^{2} -16x - 36 = 0[/tex]
divide both sides by 2
[tex]\frac{4x^{2} - 16x - 36 }{4} = 0/4[/tex]
[tex]x^{2} -4x-9 = 0[/tex]
This is a quadratic equation
let's solve it by graphing it
The solution are the x-coordinates of the intersection points
The x-coordinates of the intersection points are approximatively -1.6 and 5.6
Rylie paid $12 for two cans of racquetballs as shown in the tape diagram, where the green bars represent the amount she spent, and the blue bars represent the number of cans she bought. She needs to purchase three cans of racquetballs. How much will she pay?
Answer:
18$
Step-by-step explanation:
If Rylie paid 12$ for two cans, then divide twelve by two then you'll get 6$ so 6$ is one can so multiply six by three and you will get 18$ for three cans.
sorry if I'm wrong I'm trying to help.
What is the equation number of songs, one, none, or plenty and the total cost
Savanah solved the equation 3 + 4|3 plus 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 11. + 3| = 11 for one solution. Her work is shown below:
4|5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3| = 8
|5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3| = 2
5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3 = 2
5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. = –1
x = –2
What is the other solution to the given absolute value equation?
Answer: Its -10 :)
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
on edge it works
Find the square root of 1764 using prime factorization with explanation and solution.
Answer:
42
Step-by-step explanation:
The product of the prime factors of 1764 is
1764 = 2² × 3² × 7² , thus
[tex]\sqrt{1764}[/tex]
= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]
= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]
= 2 × 3 × 7
= 42
the price of a share of stock for a company XYZ at the beginning of the week was $24.75. over the next 5 days, the share of the stock gained $2.50 on Monday lost $3.25 on Tuesday lost $0.75. on Wed, gained $1.25 on Thursday, and gained 4.75 on Friday
Answer:
$29.25
Step-by-step explanation:
The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the integers loss is represented by negative integers whereas profit is represented by positive numbers.
Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by; + $2.50.
On Tuesday, loss of $3.25 represented by; - $3.25 .
On Wednesday, loss of $0.75 represented by; - $0.75.
On Thursday, gain of $1.25 represented by ;+ $1.25.
On Friday, gain of $4.75 represented by; + $4.75.
The Price of the share of stock at the end of Friday would be;
= (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
PLZ HELP im am stupid
Answer:
x = 17
Step-by-step explanation:
The two indicated angles are corresponding and congruent, thus
11x - 31 = 8x + 20 ( subtract 8x from both sides )
3x - 31 = 20 ( add 31 to both sides )
3x = 51 ( divide both sides by 3 )
x = 17
Answer:
the answer is number 4 17
Step-by-step explanation:
Given f(x) = x2 − 4x + 5, find . . . .
a. f(2) b. f(-6)
Answer:f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(2) = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = -4 + 5 = 1
f(-6)= (-6)^2 - 4(-6) + 5 = 36 + 24 + 5 = 60 + 5= 65
HELP PLEASE! IM STUCK!
Answer:
D
Step-by-step explanation:
What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22? 91 43 104
Answer:
91Step-by-step explanation:
This is an arithmetic sequence, in which a set number is added to the previous term to get the next term. The number added is figured out by subtracting the 1st term from the 2nd term and the 2nd term from the 3rd term.
Now that we know the number is 3, we can complete the sequence:
4, 7, 10, 13, 16, 19, 22
We will add all the terms up to get 91.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)2(c-5) - 3
What is the answer?
Step-by-step explanation:
2 · c - 5 · 2 - 3 = 2c - 10 - 3
2c - 10 - 3 = 2c - 7