Answer:
300 in²
Step-by-step explanation:
The TV screen is rectangular in shape.
Thus:
Length of the rectangular screen = 15 in.
Diagonal of the rectangular screen = 25 in.
To find the area of the rectangular screen, we need the length and the width of the screen.
Use pythagorean theorem to find the width as shown below:
[tex] a^2 + b^2 = c^2 [/tex], where:
a = width = ?
b = 15 in.
c = 25 in. (The hypotenuse/longest side)
Plug in the values into the equation
[tex] a^2 + 225 = 625 [/tex]
Subtract 225 from each side
[tex] a^2 = 400 [/tex]
Take the square root of both sides
[tex] a = 20 [/tex]
width of the screen = 20 in.
Thus,
Area of the screen = length × width
= 15 × 20
Area = 300 in²
If A= {3 -2 and B= {0 -1 then what is AB?
1 4} 3 2}
Step-by-step explanation:
[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]
find the mode of the data 6,8,3,6,3,7,4,6,7,3,6.
Answer:
6 is the answer
Step-by-step explanation:
Given,
Observations = 6,8,3,6,3,7,4,6,7,3,6
From the above given data,
The observation 6 occurs 4 times, observation 3 occurs 3 times,observation 7 occurs 2 times and the observation 8 occur 1 time.
Mode:The most frequently occurring value.
So the mode of the data is 6 as it occurs more frequently than other.
The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
Divide 2+1/2
A. 2
B. 16
C. 8
D. 4
Answer:
the answer would be 4, the number 2 would double since your dividing it by 0.5
Count the left-handed and right-handed spirals on the cacti in the photograph.
You should get two consecutive terms of the Fibonacci sequence. What are
the numbers?
A. 34 and 55
B. 5and 8
C. 21 and 34
D. 13 and 21
E. 8 and 13
Answer:
2 = 1 + 1
3 = 2 + 1
5 = 3 + 2
8 = 5 + 3
13 = 8 + 5
21 = 13 + 8.
Fibonacci numbers are found in many structures in nature.
We have just found that these cacti enclose Fibonacci numbers 13 and 21.
13 and 21
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Answer:
y=7
Step-by-step explanation:
Since they are all congruent angles this means that the sides are equal too.
What's 4/5 as a percentage?
Answer:
80%
Step-by-step explanation:
% is out of 100 so make the denominator of 4/5 to be 100:
4/5 times 20/20 = 80/100 = 80%
Answer:
80%
Step-by-step explanation:
4 divided by 5 equal .8
.8 x 100 equals 80
It's multiplied by 100 because usually percentages are out of 100.
OR
You can move the decimal in .8 to 2 space to the right
Nancy decides to roll a die three times.
What's the probability that she will roll all
even numbers?
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8
Answer:
0.125
Step-by-step explanation:
fastbridge
be SPEEDY! Name two
perpendicular lines and two parallel lines.
5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?
Answer:
2,160 Hours
Step-by-step explanation:
Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong
Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,
The unit rate for the work of Phillip is given, $11.25 per hour.
Therefore, his earning for h hours = $11.25h
For (8+h) hours = $11.25(h+8)
Since, he earned $540 for both weeks,
Therefore,
11.25(h+8) + 11.25h = 540
11.25h + 90 + 11.25h = 540
22.5h = 450
h = 20
h+8 = 28
Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
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2 + (8 - 2)(32+5(1 +2)
With the information given, can you prove
that this quadrilateral is a parallelogram?
D
В
Yes
No
Answer: No
Currently we don't have enough information to prove this quadrilateral is a parallelogram. One piece of information that would be useful would be if the other diagonal is bisected. If that's the case, then we have a parallelogram (we would first prove the triangles congruent and then use the corresponding congruent angles to set up the parallel lines). Unfortunately, we only know about one diagonal being bisected, but not both, so we don't have enough info.
geometry help please :)
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
The sum of a number and 16 times it's reciprocal is 10. Find the numbers
Answer:
The answer is 2 and 8!
Hope this helped :D
Dawn made a $10,000 down payment on a home financed at 8%. What is the cost of the home?
A. $85,000
B. $125,000
C. $80,000
D. 8,000
I don't understand how you would be able to determine the cost of the house with a down payment and finance rate.
Answer:
$125,000
Step-by-step explanation:
the cost of the home = (10,000/8)*100 = $125,000
Answer:
125,000
Step-by-step explanation:
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units to the right and 3 units up to form triangle A prime B prime C prime.
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
five units left and three units down.
two units left and three units down
Answer:
B
Step-by-step explanation:
did it on edge
Answer:
A. five units right and three units up.
Step-by-step explanation:
full answer = To form the image, the image moved
five units right and three units up.
Please help? I've been trying for a while
Answer:
3 hours
Step-by-step explanation:
yes.
I WILL GIVE BRAINLIEST! PLEASE ANSWER FAST!
Answer:
20
50+35=80
180-80= 100
100-80=20
Brainliest to correct answer
Answer:
No, zack will finish first.
Step-by-step explanation:
I would rather not write it out but zack should finish first
The Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
A) Write a system of inequalities to model this scenario, and graph the system.
B) What is the maximum number of people who could be in the group, and how much would it cost? Justify your answer
C) Suppose that only adults are going to go on the tour. How many can there be? Explain your answer.
Answer:
Well, 1000>(15x+t)+(50x+100t) if there are children aboard.
B. The maximum amount is 19 if one adult is going with 18 children (not including the meal plan). And the total would be $1000
C. If only adults are going then a total of 8 adults can go if they are planning to use the raffle ticket for the meal plan too. If not then the total is 10.
I hope this is right.
The system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
Assume that there are [x] children in the group and [y] adults. So, we can write -
x + y ≤ 8 ... Eq[1]
(250 + 100)y + (250 + 50)x + 15(x + y) ≤ 1000
350y + 300x + 15x + 15y ≤ 1000
375y + 315x ≤ 1000
5(75y + 63x) ≤ 1000
75y + 63x ≤ 200 ... Eq[2]
Refer tot the graph attached. The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
Therefore, the system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
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What is the area of the triangle?
48 in 2
28 in 2
96 in 2
24 in 2
Answer:
48 in^2
Step-by-step explanation:
To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.
Answer:
48 in2
Step-by-step explanation:
when finding area we use the equation A= 1/2bh
b meaning base and h meaning height
so for this we would use A= 1/2(24)(4)
multiply them both to get A=1/2(96)
and then take half of 96 to get 48
so the answer is 48in 2
Find the value of x
Answer: x= 108
Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.
What could be the coordinates of point E?
O (2,-1)
O-1,2)
O (-3,-1)
O(-1,-3)
Answer: (-1,2)
Step-by-step explanation:
Step-by-step explanation: Lines up nicely with points A & D.
the difference of two variables x and y is 7. find two ordered pairs that satisty this equation if the values of y are 1 and 3... Show your solution
Answer:
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
Step-by-step explanation:
Given statement is:
"difference of two variables x and y is 7"
This can be mathematically written as:
[tex]x-y = 7[/tex]
To solve this we have to put y = 1 and y = 3
Now,
Putting y = 1 in the equation
[tex]x-1 = 7\\x = 8[/tex]
Putting y = 3 in the equation
[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]
Ordered pairs are of the form (x,y)
Hence,
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
please help this is 95% of my grade
Answer:
Part 1:
Domain= {2,3,8,9}
Range = {7,9,14}
Part 2: Yes it is not a function
Step-by-step explanation:
Domain is the first number
Range is the second.
Domain= {2,3,8,9}
Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)
Function: Is any of the domain numbers the same: Answer Yes it's a function.
A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was .
Answer:
$1.25
Step-by-step explanation:
step 1:
2.32 x 32
answer:
74.24
step 2:
114.24 - 74.24
answer:
40
step 3:
40 divided by 32
FINAL answer:
40 divided by 32 = x
x =
1.25--------------
the original cost was $1.25! :D
f(x) = (1/6)^x for x =3
Answer:
1/216 is the answer hope it's right
A federal agency mailed a survey to 35% of the households in Chicago, New York, Los angeles, and Miami and found that 60% of the people surveyed had commute times over one hour. So, they concluded that 60% of all Americans have commute times over one hour.
Which of the following statements is correct?
A. This method of sampling can be considered both biased and unbiased
B. This method of sampling is neither biased nor unbiased
C. This method of sampling is biased
D. This method of sampling is unbiased
Line A Is Parallel To Line B. If The Measure Of Z7 Is 114”, What Is The Measure Of 3
Answer:
114°
Step-by-step explanation:
because they are parallel they have the same measure
The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.
What are correspondence angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.
In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.
From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-
∠7 = ∠3
114 = ∠3
Therefore, angle 3 will be 114°.
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Anyone can find “v” and “u”??
Answer:
[tex]v = \frac{16}{3} \: \: and \: \: u = \frac{20}{3} [/tex]
Step-by-step explanation:
In triangle WYZ ,
[tex] {u}^{2} = {4}^{2} + {v}^{2} = 16 + {v}^{2} [/tex]
In traingle WXZ ,
[tex] {(3 + v)}^{2} = {5}^{2} + {u}^{2} [/tex]
Putting the value of U^2 in above eqn.
[tex] = > {(3 + v)}^{2} = 25 + (16 + {v}^{2} )[/tex]
[tex] = > {v}^{2} + 6v + 9 = 41 + {v}^{2} [/tex]
[tex] = > {v}^{2} - {v}^{2} + 6v = 41 - 9[/tex]
[tex] = > 6v = 32[/tex]
[tex] = > v = \frac{32}{6} = \frac{16}{3} [/tex]
Putting the value of V in eqn. below :-
[tex] {u}^{2} = 16 + { (\frac{16}{3} )}^{2} [/tex]
[tex] = > {u}^{2} = \frac{256}{9} + 16[/tex]
[tex] = > {u}^{2} = \frac{256 + 144}{9} = \frac{400}{9} [/tex]
[tex] = > u = \sqrt{ \frac{400}{9} } = \frac{20}{3} [/tex]