Answer:
30-60-90shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2xhypotenuse = 28 inches = 2x = 2(14)shortest leg = x = 14longest leg = x√3 = 14√3The exact length and width of the tv would be 14 inches and 14√3 inches.
Step-by-step explanation:
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Answer: A
Step-by-step explanation:
Let the length side of the TV = a
The width of the TV = b
The diagonal of a TV = c
In a 30-60-90 right triangle,
We have cos(30°) = [tex]\frac{\sqrt{3}}{2}[/tex] and sin(30°) = [tex]\frac{1}{2}[/tex]
Given that c = 28 inches:
sin(30°) = [tex]\frac{b}{c}[/tex]
[tex]\frac{1}{2} = \frac{b}{c}[/tex]
[tex]b = \frac{1}{2} \times 28 = 14[/tex]
That is, the width of the TV = 14 inches
cos(30°) = [tex]\frac{a}{c}[/tex]
[tex]\frac{\sqrt{3}}{2} = \frac{a}{c}[/tex]
[tex]a = \frac{\sqrt{3}}{2} \times 28 = 14\sqrt{3}[/tex]
That is, the length of the TV = 14√3 inches
So the exact width and length of the TV are 14 inches and 14√3 inches.
Therefore, option A is the correct answer
There is only one square whose perimeter and area is same. What is the length of each side of this square?
1) 5
2) 6
3) 3
4) 4
Answer:
4) 4
Step-by-step explanation:
A square with side lengths of 4 units will have the same perimeter and area.
4^2=16 square units
4*4=16 units
what mathematical strenght and skills did you develop in this lesson
Answer:
I have learned a lot in math, although it was years ago on of my favorite things to learn was to multiply and divide. They were not only easy but also fun.
Step-by-step explanation:
What are the opposites of 9, −3.5, 2.25, and 9
1
2
? Enter the answers in respective order, each separated by comma.
Answer:
-9, 3.5, -2.25, and -9
Step-by-step explanation:
I'm assuming you mean the opposite numerical value so, the opposite of a positive number is a negative one and vice versa.
Arlington High School recently installed a new black-box theatre for local productions. They only had
room for 14 rows of seats, where the number of seats in each row constitutes an arithmetic sequence starting
with eight seats and increasing by two seats per row thereafter. How many seats are in the new black-box
theatre? Show the calculations that lead to your answer.
Answer: ANSWER*0.15 (15% is 15/100 or 0.15)
Step-by-step explanation:
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The number of seats in the new black box is 294.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
Number of rows = 14
n = 14
a = 8.
d = 2
So,
The number of seats in the 14 rows is,
8, 10, 12, 14,.........
Now,
The sum of the arithmetic sequence.
= n/2 [2a + (n - 1)d ]
The number of seats in the new black box.
= 14/2 [ 2x8 + (14 - 1)2 ]
= 7 [ 16 + 26 ]
= 7 x 42
= 294
Thus,
The number of seats in the new black box is 294.
Learn more about arithmetic sequence here:
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Kerrie goes to the mall with 8.40 she purchases a bracelet for 3.35 she buys lunch for 4.60 how much money does she have left
Directions: Solve each problem. Read carefully to be sure you know what the problem is asking. Draw rectangles to help you solve. 1. The perimeter of a rectangle is 70 feet, and the length is 25 feet. What is the width of the rectangle?
Answer:
10 feet
Step-by-step explanation:
Perimeter of a rectangle =2(l+b)
2(25+b)=70
50+2b=70
CLT
2b=70-50
2b=20
Divide both sides by 2
=10
select the digit in the thousands place for 689,234
Answer:
9
Step-by-step explanation:
well this one is rather simple you see the "4" is in the ones place and, going right, "3" is in the tens places and the "2"is in the hundreds place and that leaves the '9' in the thousands place.
Answer:
The remaining number in thousands units is 9.
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
which expression can be used to find the surface area of the following square pyramid
Answer:
[tex](1/2*4)*5+(1/2*4)*5+(1/2*4)*5+(1/2*4)*5+(4*4)=2*5+2*5+2*5+2*5+16=10^2+10^2+10^2+10^2+16^2=40^2+16^2=56^2[/tex]
Step-by-step explanation:
a triangle is 1/2 of the base x height. so the area of 4 triangles and the surface area of the base square is the total surface area.
Answer:
More info? Thanks =)
Step-by-step explanation:
a bus travelled 63 km in first hour 60 km in second hour and 57 km in third hour what was te Average distance covered in one hour
The average speed is the ratio of the total distance to the total time. Then the average distance covered in one hour by the bus is 60 kilometers.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distace }{Time }[/tex]
A bus traveled 63 km in the first hour 60 km in the second hour and 57 km in the third hour.
Then the average speed will be
[tex]\rm Average \ speed = \dfrac{Total \ distace }{Total \ time }\\\\\\Average \ speed = \dfrac{63 + 60 +57}{1+1+1}\\\\\\ Average \ speed = \dfrac{180}{3}\\\\Average \ speed = 60 \ km/h[/tex]
The average distance covered in one hour by the bus is 60 kilometers.
More about the speed link is given below.
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GIVING BRAINLIST AGAIN YOU MIGHT HAVE A CHANCE!
Which inverse operation is needed to isolate the variable in the equation r + 8.9 = 17.4?
Group of answer choices
Add 8.9 to both sides.
Subtract 8.9 from both sides.
Add 17.4 to both sides.
Subtract 17.4 from both side
Answer:
Subtract 8.9 from both sides.
Step-by-step explanation:
When isolating variables, we need to change the parity of the number or value we are taking away. If we subtract 8.9 from both sides, we will get r=8.5.
please help me it's urgent
Answer:
4
Step-by-step explanation:
We are looking for when x approaches 1 from the left.
This occurs when x<1, so we use the first function.
Next, we just direct substitute 1 in the function.
[tex]2(1) + 2 = 4[/tex]
The answer is 4
Dr. Wright stated that 36 out of every 50 students wear a Spirit shirt each Friday. What percentage of the students do NOT wear spirit shirts on Fridays?
A. 14%
B.28%
C.36%
D.64%
Answer:
A
Step-by-step explanation:
You spent $88.50 at Target. You happen to have a $25 gift card from your birthday. If the sales tax rate was 6.5%, how much did you end up paying total?
Answer:67.6275
Step-by-step explanation:
-4x - 12 < 12
Solve for x:
Answer:
x > -6
Step-by-step explanation:
Isolate the variable by dividing each side by the factors that dont contain the varible
Inequality Form
x > -6
Interval Notion
( -6, ∞ )What is the equation of the given line in the point-slope form?
Answer:
i think it is C and D
i hope this work for you
and sory if im wrang
Can somebody pls help me !
Answer: Second option
Step-by-step explanation:
This is just recalling the formula.
4563 divided by 9 please help guys(show steps)
Answer:
507
Step-by-step explanation:
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
~~~~~~~~~~~~~~~~~
Divide 6 by 9 to get 0
[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
~~~~~~~~~~~~~~~~
Divide 63 by 9 to get 7
[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\begin{matrix}\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace6\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\begin{matrix}\:\:\:\:\underline{\emptyspace6\emptyspace3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{4563}{9}\:\mathrm{is}\:507[/tex]
[RevyBreeze]
Determine the measure of the interior angle at vertex C.
Answer:
A. 144
Step-by-step explanation:
8x + 8x + 8x + 3x + 3x = 540°
30x = 540°
x = 18
8x = 144
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all?
Pick the model that represents the problem.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
18
?
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
?
18
How many rides are there at Skyrocket Amusement Park in all?
Can someone help me with this plz ☺️
Answer:
45.5
Step-by-step explanation:
PLEASE HELP I GIVE BRAINLIEST
Answer:
light year
Step-by-step explanation:
Took test
A small bookshelf is
8
12
yard long. How many books can fit on the shelf if the width of each book is
24
yard? Explain.
HERE IS WHAT I GOT SO FAR PKEASEEEE. HELP I AM LOST
Answer:
how long is the shelf
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
812×241=?
8
12
×
24
1
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
8×2412×1=19212
8
×
24
12
×
1
=
192
12
Since 192 divided by 12 equals 16 then,
19212=16
192
12
=
16
Therefore:
812÷124=16
8
12
÷
1
24
=
16
b. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets
and two child tickets cost $47. Which system of linear equations below can be used to
determine the price of each ticket?
Let x represent the cost of an adult ticket, and let y represent the cost of a child ticket.
Answer: x = $7, y = $6
Step-by-step explanation:
Let x be the cost of an adult ticket
Let y be the cost of a children's ticket
Translate these sentences to algebra:
At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51
Five adult tickets and two child tickets cost $47: 5x + 2y = 47
Now we have two equations. Let's use substitution to solve.
3x + 5y = 51
3x = 51 - 5y
.: x = 17 - 5y/3
Now substitute this value of x into the second equation to find the numerical value of y:
5(17 - 5y/3) + 2y = 47
85 - 25y/3 + 2y = 47
-19y/3 = -38
-19y = -114
.: y = 6
Now find x:
x = 17 - 5y/3
x = 17 - 10
.: x = 7
So an adult ticket costs $7, and a child ticket costs $6 :)
Simplify the expression 21p + 9q2 + 10p + q2 by combining like terms.
Answer:
31p + 10q2
Step-by-step explanation:
Answer:
10q^2+31p
Step-by-step explanation:
Substitute the given values A = 77 and h = 4 into the
formula A = bh. Then solve for the variable b.
Answer:
b=19.25
Step-by-step explanation:
Ok, so if you plug in 77 for A and 4 for h, you will get 77=4h. So from here, you have to divide 77 by 4, which is 19.25 and that is the answer for variable b.
Which division problem does the number line below best illustrate? A number line going from 0 to 13. An arrow jumps from 0 to 3, from 3 to 6, from 6 to 9, and from 9 to 12. 12 divided by 3 = 4 9 divided by 3 = 3 12 divided by 2 = 6 16 divided by 4 = 4
Answer:
which might help. It sounds like you have 4 semicircles which can be thought of as a division problem 12/3 = 4. Note how I'm dividing by 3 which is the width of each section (eg: from 6 to 9 is 9-6 = 3 units)
Step-by-step explanation:
Answer:
idek i need help too!!
Step-by-step explanation:
-2(x-7)²+11
solve for simple form
Answer:
Simpify: -2x² + 28x - 87Answer: −2x2+28x−87 is the simplified form for -2(x-7)²+11
yeehaw new chaatatattatat
Answer:
heyyyyyyyy :P
Step-by-step explanation:
Answer:
Heyyyyyyyyyyyyyyyyyyyyyy :)
What describes how the lengths in an actual object are related to the
lengths on a drawn representation of It?
Congruence
Similarity
Side length
Scale
the figure below represent 7/9 of a full circle.What is the central angle
Answer:
Step-by-step explanation:
there is no figure Shown for
Your question