Given that,
A TV is 27 inch diagonally across the screen.
To find,
The dimensions that best describes a 37 inch TV.
Solution,
Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,
[tex]c=\sqrt{a^2+b^2}[/tex]
If dimensions are 15 x 34,
[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]
If dimensions are 16.5 x 32,
[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]
If dimensions are 17 x 28,
[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]
If dimensions are 17 x 32,
[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]
It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).
A cyclist travels 8 miles in 15 minutes.
What is her average speed in mph?
Answer:
0.53 mph
Step-by-step explanation:
A cyclist travels 8 miles in 15 minutes.
So the average speed is
=8/15 mph
=0.53 mph
What is 54-36÷9+14=n what is the value in n?
Answer:
64
Step-by-step explanation:
1st step: 36/9 = 4
54 - 4 + 14 (since all operations are addition and subtraction, just work left to right)
50 + 14 = 64
DWhich measurement is equal to 4 quarts?
D)12 pints
)8 cups
D16 pints
)16 cups
Done
Answer:
16 cups is equal to 4 quarts
Step-by-step explanation:
Multiply the volume by 4
The required 4 quarts are equal to 16 cups. This means that if you have 4 quarts of liquid, you can pour it into 16 cups and it will completely fill them. Option D is correct.
1 quart is equivalent to 4 cups. This is a standard conversion ratio between quarts and cups. It means that if you have 1 quart of liquid and you want to know how many cups it is, you can simply multiply the number of quarts by 4.
So, to find out how many cups are in 4 quarts, we perform the following calculation:
4 quarts * 4 cups/quart = 16 cups
Learn more about conversion ratios here:
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Multiply 2.3. (-1.2)
Answer:
-2.76
Step-by-step explanation:
2.3x(-1.2)
= -2.76
25% of 96 is what number round to the nearest tenth of necessary
Answer:
y = .25 x 96
y = 24
This is the answer.
Step-by-step explanation:
25% is the same as 0.25
25% = 25/100 = 0.25
Multiply 0.25 with 96
0.25 x 96 = 24
24 is your answer
hope this helps
If I buy 5 plants from the garden centre at £3.00 a plant how much do the plants cost? If I have a £20 note how much change will I get?
Answer:
They will cost you £5.00 total
Step-by-step explanation:
If the plants each cost £3.00
You multiply the amount of plants, in this case is 5 by the price :-
5×3.00
= £15.00
You then subtract the total from the cash
15.00 - 20.00
= £5.00
Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is feet inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches
This question is incomplete
Complete Question
Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is 5 feet 11 inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches
Answer:
12 feet 11 inches
Step-by-step explanation:
To solve the above question, we would have to add up all the width of thee dressers together.
Hence:
3 feet 9 inches + 3 feet 3 inches + 5 feet 11 inches
= (3 feet + 3 feet + 5 feet) + (9 inches + 3 inches + 11 inches)
= 11 feet +( 23 inches)
Note that
12 inches = 1 feet
Hence:
11 feet (23 inches/12 inches)
11 feet (1 feet + 11 inches)
= 12 feet 11 inches.
Therefore, the width of the 3 dressers combined = 12 feet 11 inches
Easy answer for people good at right triangles.
Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks of butter does Tom need in order to bake a total of 42 cakes?
Answer in the number of additional sticks of butter.
Answer:
since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes
A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park.
How many trees did the group plant in all?
Answer:
420 trees
Step-by-step explanation:
6 volunteers × 70 trees planted by each = 420 trees planted in total.
(HELP URGENT TWO VARIABLE INEQUALITIES)
(SEE ATTACHED PICTURE)
Which of the following inequalities matches the graph?
A) The correct inequality is not listed.
B) 5x + y ≥ 1
C) 5x + y ≤ 1
D) 5x − y ≥ 1
Answer:
D)
Step-by-step explanation:
Line: y = 5x - 1
The shaded space is less than or equal to the line.
So it is y [tex]\leq[/tex] 5x - 1
This is the same as D)
Find the measure of BEF
Answer:
the answer will be 140
Step-by-step explanation:
i am not sure
Answer:
B. 30
hope it helps.
and sorry, if it's wrong.
can someone help me?!!
couldn't be me
Step-by-step explanation:
Algebra...George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether
Answer:
$1890
Step-by-step explanation:
x= couches
y=chair.
x=2y
2x=3y+270
2(2y) or 4y=3y+270
y=270
x=540
2(540)+3(270)=1890.
Hope this helps :D
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total spending is $1890
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
George bought 2 identical couches and 3 identical chairs.
A couch costs twice as much as a chair.
Let the cost of one couch = 2x
Let the cost of one chair = x
Now,
He spent $270 more on the couches than on the chairs.
This means that,
2(2x) = 270 + 3x
4x = 270 + 3x
Subtract x on both sides.
x = 270
The total spending.
= 4x + 3x
= 4 x 270 + 3 x 270
= 1080 + 810
= $1890
Thus,
The total spending is $1890
Learn more about expressions here:
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Four copies of the triangle shown are joined together, without gaps or overlaps, to make a parallelogram. measurements= 5cm, 13cm, 12cm What is the largest possible perimeter of the parallelogram?
Answer:
Highest Possible Perimeter = 52cm
Step-by-step explanation:
The triangle is not shown. But, the question can still be solved.
The given sides (5cm,12cm and 13cm) of the triangle shows that the triangle is a right angled triangle as proven below:.
[tex]13\² = 5\² + 12\²[/tex]
[tex]169 = 25 + 144[/tex]
[tex]169 = 169[/tex]
Having shown that;
The next step is to determine the highest possible value of the perimeter.
To get the highest possible perimeter;
The 4 triangles have to be joined at the 12cm and 5cm part of each triangle (see attachment).
From the attachment, the perimeter is then calculated as:
Perimeter = 13cm + 13cm + 13cm+ 13cm
Perimeter = 52 cm
Answer: 76
Step-by-step explanation:
Can I get the answer please
Answer:
C
Step-by-step explanation:
first equation is y=3/4x+2
second equation is -2x+17
Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?
Answer:
The answer would be A which is L
Answer:
so its A?
Step-by-step explanation:
How come nobody answers my questions? Like wth, I'm stuck but everyone else is getting their questions answered left and right.
Answer:
That is a good question and it might be your question you are trying to find the answer and maybe your question looks hard
Hope this help :)
Step-by-step explanation:
ion understand this one
Answer:
angle 7 = angle 3 because corresponding angles r equal
(1, 1) and (4, 3) slope
Answer:
[tex] \huge \boxed{ \boxed{ \frac{2}{3} }}[/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{3 - 1}{4 - 1} = \frac{2}{3} \\ [/tex]
We have the final answer as
[tex] \frac{2}{3} \\ [/tex]
Hope this helps you
Determine the intercept of the line.
Y-intercept : ( ) , ( )
X- intercept : ( ) ( )
Answer:
Y: (0) (0.4)
X: (0.3) (0)
Step-by-step explanation:
prove me wrong
Read and write each number in expanded form
6,203,103
Answer:
6,000,000+200,000+3,000+100+3
Step-by-step explanation:
What is the simplified expression for (screenshot)
A. 3/4
B. 4/3
C. 4²/3
D. 3³/4
Answer:
B. 4/3
Step-by-step explanation:
[tex] \frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3} [/tex]
Answer:
B. 4/3
Step-by-step explanation:
(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)
4^-3 . 4^2/ 4^-2 . 3^4/ 3^5
4^(-3+2-(-2)) . 3^(4-5)
4^1 . 3^-1
4 . 1/3 = 4/3
please help! will mark brainliest
Answer:
I think b sorry if im wrong
MARK BRAINLEST
Find the equation of the line passing through the points (2, 4) and (3, 2).
Y = [?]x + [?]
H = -16t^2 + 84t + 100 what is maxium height
Answer:
[tex]H=210.25\ \text{units}[/tex]
Step-by-step explanation:
Given that,
[tex]H = -16t^2 + 84t + 100[/tex] ...(1)
We need to find the maximum height
For maximum height, put dH/dt = 0
[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]
Put t = 2.625 in equation (1)
[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]
Hence, the maximum height [tex]=210.25\ \text{units}[/tex]
can anyone PLEASE HELP ME with this question i really need help
Answer:
x = 49°
Step-by-step explanation:
180 = 90 + 41 + x
x = 180 - 131
x = 49
divide 3/4 divided ny 2/5
Answer:
1.875
Step-by-step explanation:
I used a calculator
Answer:
1.36
Step-by-step explanation:
Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.
From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
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Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
This option gives us the step 3.
This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at point X.
This can be explained more with the help of a diagram.
Two angles are equal when their dimensions are equal.
Arcs of equal length would give congruent angles.
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Solve the equation below for x.
cx- 4 = 7
A. x=11/c
B. x=c/3
C. x=3/c
D. x= c/11
Answer:
a. x = 11/c
Step-by-step explanation:
cx - 4 = 7 [add 4 to both sides of the equation]
cx = 11 [divide by c to isolate x]
x = 11/c