Answer:
Width of the new tv= 65.44 inches
Height of the new tv = 36.41 inches
If the newer television has an aspect ratio of 16:9, will the new tv fit in the old entertainment center?
Since the old entertainment set has a dimension of 70 inches by 35 inches
,new TV set, has dimension of 65.44 inches by 36.81 inches, the new TV may not be able to fit into the old entertainment set properly because it is 1.81 inches higher than the entertainment set.
Step-by-step explanation:
The newer TV set has an aspect ratio of 16: 9 and it is 75 inches
We are going to make use of Pythagoras theorem
= Width² + Height ² = Size of TV²
Width = 16x
Height = 9x
75² = (16x)² + (9x)²
5625 = 256x² + 81x²
5625 = 337x²
x² = 5625/337
x² = 16.691394659
x = √16.691394659
x = 4.0855103303
Approximately = 4.09
Hence, we can find the width and height of the new TV
Width = 16x
Width = 16 × 4.09
Width = 65.44 inches
Height = 9x
Height = 9 × 4.09
Height = 36.81 inches
Hence, the dimensions of the new TV set = 65.44 inches by 36.81 inches
If the newer television has an aspect ratio of 16:9, will the new tv fit in the old entertainment center?
Since the old entertainment set has a dimension of 70 inches by 35 inches
,new TV set, has dimension of 65.44 inches by 36.81 inches, the new TV may not be able to fit into the old entertainment set properly because it is 1.81 inches higher than the entertainment set.
What is the area of 6 ft and 5 ft
Answer:
15
Step-by-step explanation:
Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.
Answer:
5
Step-by-step explanation:
-1+5+6-5
-1-5+5+6
-6+11
5
Need ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol
Answer:
1, 3, 7
Step-by-step explanation:
A rational number can be written as a ratio or fraction.
1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational
2) 3.624 can be written as 3 78/125
3) The square root of two is irrational
4) 0.6666666 going on and on can be written as 1/3
5) -5.6 can be written as a fraction too
6) 1/3 is already a fraction
7) Pi is irrational
Hope that helps!
2d - 15 =3 pls answer ASAP and with corrections
Answer: d=9
Step-by-step explanation:
2d -15 = 3 Add 15 to both sides
+ 15 +15
2d = 18 Divide both sides by 2
d = 9
Answer:
d=9
Step-by-step explanation:
collecting like terms
2d=3+15
2d=18
d= 9
Write the possible range of each measurement to the nearest tenth. Include unit measure. Round to the tenths place.
60 m ± 4.5%
__?__ - __?__
Answer:
60.0m≤60.1mStep-by-step explanation:
Given the interval for the measurement to be 60 m ± 4.5%, the posible range of each measurement is expressed as shown;
60 m ± 4.5% = 60 m ± 4.5/100
= 60 m ± 0.045
= (60 - 0.045, 60+0.045)
= (59.955, 60.045)
Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)
I plugged in 4 for the derivative function but I’m getting the wrong answer?
Answer:
8.6615988
Step-by-step explanation:
f(x) = 3 sin (x) / ( 1 + cos x)
To find the derivative bottom * d/ dx top - top d/dx bottom all over the bottom squared
d/dx = 3 ( ( 1 + cos x) cos x - sin x( - sin x)) / ( 1 + cos x) ^2
= 3 ( cos x + cos ^2 x + sin ^2 x) / ( 1 + cos x) ^2
= 3 ( 1 + cos x) / ( 1 + cos x) ^2
= 3 / ( 1 + cos x)
Let x = 4
3 / ( 1 + cos 4)
Assuming x is in radians
3/.346356
8.6615988
Convert the following:
4 quarts is equivalent to
0 liters (rounded to the hundredth)
Answer:
3.79 liters
Step-by-step explanation:
2 quarts equals 1.89 so 2×2 = 3.79
Match each pair of points with the approximate distance between them. Round your answer to the nearest tenth. Answers: 7.07, 5.1, 2, 2.83, 5.39, 13.15, 12.5 What to match them to: (3,-1) and (5,4), (2,3) and (4,5), (-5,7) and (8,5), (-2,4) and (3,-1)
(3, -1) -> (5, 4) = 5.38516 or 5.39 units
(2, 3) -> (4, 5) = 2.82843 or 2.83 units
(-5, 7) -> (8, 5) = 13.1529 or 13.15 units
(-2, 4) -> (3, -1) = 7.07107 or 7.07 units
The correct matching of the pair of points and the distance between them would be:
(3, -1) → (5, 4) = 5.39 units(2, 3) → (4, 5) = 2.83 units(-5, 7) → (8, 5) = 13.15 units(-2, 4) → (3, -1) = 7.07 unitsHow to find the distance ?The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.
The distance between the points are therefore:
(3,-1) and (5,4):
Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]
= √[4 + 25] = √[29]
= 5.39
(2,3) and (4,5):
Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]
= √[4 + 4] = √[8]
= 2.83
(-5,7) and (8,5):
Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]
= √[169 + 4] = √[173]
= 13.15
(-2,4) and (3,-1):
Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]
= √[25 + 25]
= √[50]
= 7.07
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∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]
Step-by-step explanation:
Given, < 2 = 105°
To find : < 1
When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.
So,
<1 = 105 °
Hope I helped!
Best regards!
Answer:
[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]
Step-by-step explanation:
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.
[tex]\angle 2= 105 \°[/tex]
Vertical angles are equal in measure.
[tex]\angle 1= \angle 2[/tex]
[tex]\angle 1= 105 \°[/tex]
9 is 15% of what amount?
Answer:
0.9 is 15% of 6
work:
0.15 x 6 = 0.9
Hope this helps!
Tim's phone service charges $27.22 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $30.97, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.15x + $27.22 = $30.97 B. $27.22x - $0.15 = $30.97 C. $27.22x + $0.15 = $30.97
Answer:
A) $27.22 + $0.15x = $30.97
Step-by-step explanation:
Answer:
The answer would be A. $0.15x + $27.22 = $30.97
Step-by-step explanation:
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two
Answer:
Move up one half and right two.
Step-by-step explanation:
trust
Answer:
move on up one and right two
Step-by-step explanation:
why isn’t 3/4 a integer? answer asap pls
Answer: integer's are whole numbers so a fraction,decimal and negitive numbers aren't integer's
Step-by-step explanation:
You order two tacos and a salad costs $2.50 you pay 8% sales tax and leave a $3 tip you pay a total of $13.80 how does one taco cost
Answer:
One taco costs $3.75.
Step-by-step explanation:
Let x = cost of taco
You order 2 tacos: 2x
You add a salad: 2x + 2.5
You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)
You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3
The total you pay is $13.80
1.08(2x + 2.5) + 3 = 13.80
Subtract 3 from both sides.
1.08(2x + 2.5) = 10.8
Divide both sides by 1.08
2x + 2.5 = 10
Subtract 2.5 from both sides.
2x = 7.5
x = 3.75
One taco costs $3.75.
Estimate the addition by rounding each number to the nearest hundred thousand. Then find the sum. Estimate: 229,275 +115,368 344633
Answer:
600,000
Step-by-step explanation:
When rounding to the nearest 100,000 if it's X50,000 you round up 1 for the X, if it's X49,999 or less you keep the X as is.
229,275 rounding to the hundred thousand would be 200,000
115,368 would be 100,000
344,633 would be 300,000
so 200,000+100,000+300,000 = 600,000
Simplify the expression: 5^2 - 3 * 6 A)7 B)24 C)132 D)144
Answer:
7
Step-by-step explanation:
5^2 = 5 x 5 = 25
3 x 6 is 18
25 - 18 is 7
also, use PEMDAS
Answer:
The answer is 7.
5^2-3×6.
25-18=7.
What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8
Answer:
a.) 11>2x.
b.) 2<5÷x.
c.) 4(x+8).
The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
Convert all the word phrases into an algebraic expression. Then we have
a. 11 more than twice a number x. Then we have
⇒ 2x + 11
b. 2 less than the quotient of 5 and a number x. Then we have
⇒ 5/x - 2
c. The product of 4 and the sum of a number x and 8. Then we have
⇒ 4(x + 8)
The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).
More about the conversion of sentences into equation link is given below.
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Can anyone find the slope of this line (lots of points reward)
Answer:
(-5,1)
Step-by-step explanation:
i dont really know but might be right
Answer:
-1/2
Step-by-step explanation:
Find two points on the line
(0,-5) and (2,-6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-6 - -5)/( 2-0)
( -6+5)/( 2)
-1/2
The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is.
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
The complete statements would be as:
function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
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A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
[tex]y-5=3(x-2)[/tex]
Our answer is the top right :)
Answer:
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
Our answer is the top right :)
Step-by-step explanation:
Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?
Answer:
Step-by-step explanation:
Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.
Then I think one side of the square would be cos π/6 - sin π/6.
So I think the required volume can be worked out as area of base * length of a side of the square.
I think that,s the way to do it, if i have interpreted the question correctly.
Explain how to use friendly percents to find 35% of 80
Answer:
You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.
Step-by-step explanation:
I just did the test!!! And plus its a sample answer !!!
Can you help me out?
Answer:
Eight X plus sixty equals one hundred fifty-six
Which expression is not equivalent to a ∙ c ∙ 5 ∙ 5? 1. 10ac 2. 25ca 3. 25ac
Answer:
3. 25ac
Step-by-step explanation:
[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]
Please answer these questions and the photo is above and please show the simple work
I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.
A negative divided/multiplied by another negative will be positive
A negative divided/multiplied by a positive will be negative
Good luck with your math hw! If you need more help, just comment!
convert 18 celsius to Fahrenheit
Answer:
It's 64 degrees
Step-by-step explanation:
multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature
p = q/4 -r solve for q
Answer:
4(p+r) = q
Step-by-step explanation:
p = q/4 -r
Add r to each side
p+r = q/4 -r+r
p+r = q/4
Multiply each side by 4
4(p+r) = q/4*4
4(p+r) = q
Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]
Step-by-step explanation:
[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]Prove the LHS
Using trigonometric identities
That's
[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]Rewrite the expression
We have
[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex][tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]So we have
[tex] \sec \alpha \times \cos \alpha [/tex]Using trigonometric identities
[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]Rewrite the expression
That's
[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]Reduce the expression with cos a
We have the final answer as
1As proven
Hope this helps you
Solve the equation. Enter only the number into the box below.
22 = 18 + x
Answer:
x=4
Step-by-step explanation:
22 = 18 + x
Subtract 18 from each side
22-18 = 18-18 + x
4 =x
At what speed does the pitcher's arm rotation in degrees-s?
Answer:
7000 degrees per sec
Step-by-step explanation:
If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.