Answer:
Side AB is 10 cm.
Step-by-step explanation:
The given quadrilaterals ABCD and EFGH are similar.
From the given figure, we can observe the following angles and sides are corresponding.
[tex]\angle A = \angle E=90^\circ\\\angle B = \angle F=63^\circ\\\angle C = \angle G=117^\circ\\\angle D = \angle H=90^\circ[/tex]
Ratio of corresponding sides will be equal:
AB:EF = BC: FG = CD:GH = DA:HE
We have to find the side AB.
Given the sides
EF = 5 cm
BC = 9 cm
DA = 8 cm
EH = 4 cm
So, ratio DA:EH = 8:4 = 2:1
We know that ratio of corresponding sides will be same:
AB:EF = DA:EH
[tex]\Rightarrow \dfrac{AB}{5} = \dfrac{2}{1}\\\Rightarrow AB = 10 cm[/tex]
So, side AB is 10 cm.
the height of a kicked soccer ball is represented by the function f(x)=8x-2x^2 where x is the number of seconds since the ball was iicked and f(x) is the height of the ball. when will the soccer ball hit the ground?
Answer:
Result at time x = 4 seconds the soccer ball hit the ground.
Step-by-step explanation:
At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.
So lets see after how many second (x) the height = 0 once again.
f(x) = 8x-2x^2
f(x) = 0
8x - 2x^2 = 0
Try to write the formula in two terms
-2x * (x - 4) = 0
When a product of two or more terms equals zero, then at least one of the terms must be zero.
Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.
Any solution of term = 0 solves product = 0.
Solve the first term:
-2x = 0
Multiply left an right from the = singn with the factor -1 gives this outcome:
2x = 0
x = 0
Solve the second term:
x-4 = 0
x = 4
Result at time x = 4 seconds the soccer ball hit the ground.
x = 4
x = 0
What is the IQR (interquartile range) for the following data? 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
The IQR (interquartile range) is mathematically given as
IQR=9
What is the IQR (interquartile range)?
Question Parameters:
Sample data 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
Sample size13
Generally, the equation for the IQR (interquartile range) is mathematically given as
IQR=Q3-Q1
Therefore
IQR=37-28
IQR=9
In conclusion, the IQR (interquartile range) is
IQR=9
Read more about Arithmetic
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Solve for x
HELPP PLEASEE
20 points!
Answer:
[tex]\sqrt{119}[/tex]
Step-by-step explanation:
Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.
a^2+5^2=10^2
a^2+25=100
a^2=75
square root of 75
a=5[tex]\sqrt{3}[/tex]
5[tex]\sqrt{3}[/tex]^2+x^2=12^2
[tex]\sqrt{119}[/tex]
Answer:
8 1/3, or 8.307
Step-by-step explanation:
First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!
[tex]10^{2} - 5^{2} = 75[/tex]
Now, you have two options:
A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.
B) If you need to have something written down for your though process, go ahead and square root 75.
I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!
For the second half of the problem, to find x, we must again use the Pythagorean Theorem!
[tex]12^{2} = x^{2} + 75[/tex]
144 - 75 = 69
[tex]\sqrt{69} = 8.30662386292[/tex]
And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!
Hope this helps! Math is fun!
Please help!!! i attached the problem.
Answer:
y>7.5
line under inequality sign.
Step-by-step explanation:
sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon
Which statement correctly summarizes her savings?
Samantha will save $45.00 because the two sales will combine for 75% off the original cost.
Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $22.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $15.00 because the two sales will combine for 75% off the original cost
PLEASE HELP!!!!
Answer:
Samantha will save 45 dollars because the two sales will combine for 75 percent off the orignial cost.
Step-by-step explanation:
50 + 15 equals 75
75 percent off of 60 equals 15 dollars
60-15 equals 45 dollars so she saved 45 dollars.
Answer:
Samantha will save 45 dollars because the two sales will combine for 75 percent off the orignial cost.
Step-by-step explanation:
50 + 15 equals 75
75 percent off of 60 equals 15 dollars
60-15 equals 45 dollars so she saved 45 dollars.
Step-by-step explanation:
What is the correct answer..
Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.
[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]
PLEASE HELP I WILL MARK BRAINLIEST
Right to expressions that are equivalent to the expression below.
(9-c) + (9-c) + (9-c) + (9-c)
Answer:
36-4c
plz mark brainliest
A company is hosting an event for its employees to celebrate the end of the year. It asks the employees whether they prefer a lunch event or a dinner event. It also asks whether they prefer a catered event or a potluck. The results are shown in the two-way table.
Answer:
dinner potluck
Step-by-step explanation:
tis a great meal for all them vikings
Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is
Answer:
x² + (y - 3)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (0, 3) and r = 3, thus
(x - 0)² + (y - 3)² = 3², that is
x² + (y - 3)² = 9 ← equation of circle
What is the value of x, tanx=7 to the nearest hundredth?
a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees
the answer is C. 81.87
which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16
Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
~
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answer:
9:13
Step-by-step explanation:
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
5 m2
6 m2
7 m2
9 m2
Answer:
[tex]6m^{2}[/tex]
Step-by-step explanation:
well we are looking for a face of the rectangular prism.
the front face of the rectangular prism is length times height
which is 3 times 2 = [tex]6^{2}[/tex]
if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.
so the only face that can be answers is length times height.
therefore the answer is
6m^2
i rly hope this helps!! :)
Answer:
the answer is B .
Step-by-step explanation:
Solve for m.
-7 + 4m + 10 = 15 -2m
Answer:
M=2
Step-by-step explanation:
m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6
Answer:
m = 2.
Step-by-step explanation:
-7 + 4m + 10 = 15 - 2m
4m + 2m = 15 + 7 - 10
6m = 12
m = 2.
Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)
The difference is _______
Answer: 5x^3 + x-6
Step-by-step explanation:
Drake rolls two fair number cubes.
ANN
1
2
| 3
4
5
6
1
1
2
3
4
5
6
2 3 4 5
2 3 4 5
4 6 8 10
6 9 12 15
8 12 16 20
10 15 20 25
12 18 24 30
6
6
12
18
24
30
36
What is the probability that the product of the two numbers Drake rolls is less than 14? Enter your answer
as a fraction in simplest form
The probability that the product is less than 14 is
Answer:
23/36
Step-by-step explanation:
In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
think: 1 cartoon = 1
Answer:
1 cartoon = 1 dance
Step-by-step explanation:
Not sure what the question asks for?
Answer:
SpongeBob
Step-by-step explanation:
Is that what you wanted?
Complete the equation to represent finding x, the greater integer.
x(x – ) = 143
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
What’s the missing leg length
Answer:
a = 80
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 60^2 = 100 ^2
a^2 +3600=10000
Subtract 3600 from each side
a^2 = 10000-3600
a^2 =6400
Take the square root of each side
a = sqrt(6400)
a = 80
One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other endpoint?
A. (2, 10)
B. (−10, 1)
C. (3, 11)
D. (−10, 18)
Answer:
A. (2, 10)
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on a coordinates plane then
coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2
__________________________________________________
Given
one endpoint is (–6, 4) and midpoint is (–2, 7)
let coordinates of other endpoint be (x,y)
now if one endpoint is (–6, 4) and other endpoint is (x,y)
then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)
while the coordinates of midpoint given is (–2, 7)
thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)
-2 = (-6+x)/2 and 7 = (4+y)/2
=> -2*2 = -6+x => 7*2 = 4+y
=> -4 = -6+x => 14 = 4+y
=> -4+6 = x => 14-4 = y
=> x = 2 => 10 = y
Thus, coordinates of the other endpoint is(2,10)
Use the population data set of the price, in dollars, of a milkshake at five different restaurants: 2, 4, 6, 9, 14.
The mean is 7.
Which of the following is the approximate standard deviation for the set?
Answer:
The standard deviation of the set is 4.2
Step-by-step explanation:
The standard deviation (sd) for the set is calculated as follows:
sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N
where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:
sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5
sd = √17.6
sd = 4.2
The label that wraps around a a can is 4 inches long. How wide is the can?
1.273 is the answer
bc the label is circumference and the width would be diameter
so circumference divided by pi is diameter
so 4 ÷ 3.14 = 1.273
1. A three-dimensional figure that has one vertex and one circular base is known as a:
Answer:
cone
Step-by-step explanation:
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
48:11
Which graphed matches the equation + 6 =
- «+4)?
Answer:
Where are the graphs at
Step-by-step explanation:
cant explain without graphs
Which expression shows a way to find 20% of 950? Please I need help thanks.
Answer:
the answer of the expression is 190
Step-by-step explanation:
Given expression as :
20 % of 950
Or, [tex]\frac{20}{100}[/tex] times 950
Or, [tex]\frac{20}{100}[/tex] × 950
Or, 20 × [tex]\frac{950}{100}[/tex]
or, 20 × 9.5
∴ 190
Answer:
1/5 times 950
Step-by-step explanation:
I did this on iready and got it correct
Lines m and pare parallel. If the slope of line mis
1
25
what is the slope of
line p?
Answer:
The slopes of line m and p will be the same: 1/25 (I think thats what that says)
Step-by-step explanation:
when two lines are parallel it means they will never touch, and so they must have the same slope. If their slopes were different (even by 1 decimal), they would touch and so would no longer be parallel.
If lines m and p are parallel, they have the same slope. so slope of line p is 1/25
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that the slope of line m is 1/25, we can conclude that the slope of line p is also 1/25.
This is because parallel lines have equal slopes.
That is, if two lines are parallel, they have the same steepness or angle of inclination, which means they have the same slope. Therefore, the slope of line p is also 1/25.
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The complete question:
Lines m and p parallel. If the slope of line m is 1/25. what is the slope of line p?