The width of the frame is 8 inches.
Now, According to the question:
The length of a rectangular frame is 15 inches
The diagonal length of the frame is 17 inches.
To find the width of the frame in inches.
Let's take the width of the frame is = w
Based on the information given, it should be noted that the diagonal will be the longest side. Therefore, we'll use the Pythagoras theorem to solve the question.
This will be:
17² = 15² + w²
289 = 225 + w²
289 - 225 = w²
64 = w²
w = [tex]\sqrt{64}[/tex]
w = 8
Hence, The width of the frame is 8 inches.
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The scatter plot shows the winning times, in minutes, in a track event over eight consecutive years.
Scatter plot with x axis labeled Time in Years and y axis labeled Winning Time, with points at 1 comma 5 and 4 tenths, 2 comma 5, 3 comma 4 and 6 tenths, 4 comma 4 and 9 tenths, 5 comma 4 and 1 tenth, 6 comma 3 and 9 tenths, 7 comma 3 and 6 tenths, and 8 comma 3 and 3 tenths.
Predict the winning time in year 10 of the race.
1.52 minutes
1.98 minutes
2.83 minutes
3.01 minutes
The predicted winning time in year 10 of the race is 2.83 minutes.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
Given:
From the scatter plot, the points are given as follows:
(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).
Inserting these points into the linear regression calculator, we get
y = -0.29x + 5.67.
Now, for x= 10 year
y = -0.29(10) + 5.67 = 2.77 minutes.
which is closest to 2.83 minutes.
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HELP PLS
What is the perimeter of the triangle?
Answer:
[tex]p=48 ~units[/tex]
Step-by-step explanation:
[tex]x^2=12^2+9^2[/tex]
[tex]x^2=144+81[/tex]
[tex]x^2=2225[/tex]
[tex]x=15[/tex]
[tex]p=15+15+18[/tex]
[tex]p=48 ~units[/tex]
-----------------------
hope it helps...
have a great day!!
Answer:
p=48 units
Step-by-step explanation:
hope it helps..
HELP! will give brainliest if you show work on how to get this answer below!
Solve for x. Check for extraneous solutions.
2+ sq root (x+18)=x
answer should be:
7(-2 is extraneous)
Kekskekeke
Step-by-step explanation:njbnmmk
Answer:
It should be 7! :)
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
Yoshi is standing on top of a building, looking at a park in the distance. The angle of depression is
53°. If the building he's standing on is 100 feet tall, how far away is the park to the nearest
hundredth of a foot?
105
53°
Park
100
Step-by-step explanation:
because after 105 it's 100
43 inches tall. Each book 1/2 - inch thick
Answer:
If you're asking how many books there are its 86.
Step-by-step explanation:
If each book is 1/2 thick that means there are 2 books per inch.
Because there are 43 inches you're going to multiply by 2.
43(2)= 86.
Hope that helped, have a good day!
If you divide 6! by 4! you are evaluating
P(6.4)
P(4, 6)
P(6. 2)
How do you find the hypotenuse of a 45 45 90 triangle?
The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.
The hypotenuse of a 45 45 90 triangle is calculated as the square root of the length of the leg.
We plug the known length of the leg into our 45-45-90 theorem formula:
Hypotenuse = leg * (√2)
Properties of 45-45-90 triangles :
To point out the 45-45-90 special right triangle, check for these three identifying properties:
The polygon is an isosceles right triangle.The two side lengths are congruent, and their opposite angles are also congruent.The hypotenuse (longest side) is the length of either leg times the square root (sqrt) of two, √2.Read more about the isosceles triangle:
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help please and thank you
The equation that represents the situation is
2p + 194.99 = 284.97
Option B is the correct answer.
The price of each game is $44.99.
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,
Game system price = $194.99
Total price = $284.97
194.99 + 2 games = $284.97
Games = p
Now,
The price of each game.
194.99 + 2p = 284.97
2p = 284.97 - 194.99
2p = 89.98
p = 44.99
Thus,
The equation is 194.99 + 2p = 284.97.
The price of each game is $44.99.
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Tell whether 30 is divisible by 2
Answer: Yes
Step-by-step explanation
Since the number being divided has a 0, it can be divided by 2
Can someone help on this?
Answer:
x=0 and y=36
Step-by-step explanation:
30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36
What is the sum of 3 sides?
The sum of the three sides of the triangle is 24.
The sum of three sides of a triangle is calculated using the formula S = a + b + c, where a, b, and c are the lengths of each side of the triangle.
To calculate the sum of three sides of a triangle, first measure the lengths of each side and assign a value for each side. For example, if the lengths of the sides are 6, 8, and 10 respectively, then the values for each side would be a = 6, b = 8, and c = 10.
Next, plug in the values of the sides into the formula S = a + b + c to calculate the sum:
S = 6 + 8 + 10
S = 24
Therefore, the sum of the three sides of the triangle is 24.
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The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest temperature overnight in that city?
Answer:-14°F
Step-by-step explanation:
-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it
If you could take one sample from the mystery bag in order to make a prediction, would you rather draw a sample of 10 marbles or a sample of 20 marbles. Explain your choice by referring to the representations of the two distributions.
I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.
How to illustrate the sample?In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.
For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.
However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.
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What is the length of the unlabled side of the triangle?
Answer:
a or b (probably a)
Step-by-step explanation:
PLEASE HELP SOLVE THIS GRAPH
Answer:
I'm pretty sure that is the correct answer
Step-by-step explanation:
# of faces?
# of edges?
# of vertices?
HELP (links= report)
Step-by-step explanation:
Face is 5 the edges is 10 the vertices is 12
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
89/80
Step-by-step explanation:
cos = adjacent/hypotenuse
Answer:
80/89
Step-by-step explanation:
Find the area of the circle .Round your answers the nearest whole number if necessary.use 3.14 or 22/7
Please help
When dad got the bill at the restaurant, it gave the cashier a coupon for 15% off his entire order. How much was the bill after the coupon
Answer:
This doesnt give enough things to answer
choose the best description of how the data sets shown below compare to one another
B. Similar spreads different centers.
3 friends made $630 at their lemonade stand over the summer. If they share their profit equally, how much will each friend get? *
Answer:
Step-by-step explanation:
630/3=210 for each
Answer:
$120
Step-by-step explanation:
Basically, this question is asking how much each friend gets if they split it equally.
------
So:
630 (The profit) ÷ 3 (The friends) = 120
------
Have a good day :)
HELP ME PLEASE, ILL GIVE BRANILIST FOR THE BEST CLEAR ANSWER :
William has a new puppy that has completely destroyed the carpet in his living room. If he wants to replace the carpet in the room, which is the best measure?
a
surface area
b
area
c
volume
Answer:
C. Area
hope this helped
A parabola can be represented by the equation x2 = -
20y.
What are the coordinates of the focus of the parabola?
O(-5,0)
O (5,0)
0 (0,5)
0 (0,-5)
Answer:
( 0 , -5 )
Step-by-step explanation:
The coordinates of the focus of the parabola is at (0, -5)
How to find the focus of a parabolaThe standard formula of a parabola is given as:
y² = 4ax
Given a parabola represented by the equation x² = -20y
Determine the focus
The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.
Comparing with the given equation, the focus will be at (0, -5)
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Suppose ABCD is a parallelogram. Find the value of x and y.
answer:
x = 4
y = 19
step-by-step explanation:
we know that this is a parallelogram, so opposite sides are equalthis is one of the properties of a parallelogramtherefore,
segment AB = segment DC and segment AD = segment BC
now plug in the expressions according to what we know (& solve)AB = DC
5x - 13 = 9x - 29
-13 = 4x - 29
16 = 4x
x = 4
AD = BC
3y - 11 = 2y + 8
y - 11 = 8
y = 19
Which action will raise your credit score? Paying bills late Acquiring a lot of loans Paying bills early or on time borrowing more money than you can repay
Answer:
Paying bills early or on time
Step-by-step explanation:
A bag drawing contains 2 red balls and18 green a ball is chosen at random from the bag
Probability of drawing a red ball:
Total number of balls = 2 + 18 = 20
number of red balls = 2
number of green balls = 18
total number of favourble outcomes = 2
probability = number of favourable outcomes/number of total outcomes.
= 2/20 = 1/10
Therefore probability of drawing a red ball is 1/10.
Probability of drawing a green ball:
total number of balls = 2 + 18 = 20
number of green balls = 18
number of red balls = 2
total number of favorable outcomes = 18
probability = number of favourable outcomes/number of total outcomes.
= 18/20 = 9/10
Therefore probability of drawing a green ball is 9/10.
Angle PQT = 140 degrees. What is the measure of angle OQR?
0
Р
a Q
R
140
S
T
U
V
Answer:
the angle oqr in degree is 40°
Which is the factored form of 2x^3+4x^2-x
Answer:
Factor x out of 2x3+4x2−x
x(2x^2+4x−1)
Step-by-step explanation:
math_way
Triangle ABC is similar to triangle A′B′C′. Calculate the length of the missing sides. FAST!!!
Step-by-step explanation:
s=squared
Cs=As+Bs
Cs=4s+3s
Cs=16+9
cs=25
C is the square root Cs
25= 5
AB=5
What is:
(7*8) + (42-8) / 4
Answer:
5.5
Step-by-step explanation:
7*8=56
42-8=34
56-34=22
22/4=5.5