Why is the ? in the proportion below equal to QR? Explain why.
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
B) SQ is the shortest leg and so is the geometric mean between the entire leg and the hypotenuse.
C) SQ is the hypotenuse and is opposite the angle S in the right triangle QSR.
D) SQ is the hypotenuse and thus the Hypotenuse Rule of Geometric Means applies.
Answers
9514 1404 393
Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
__
When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
Related Questions
2% Drug
3% Mass Merchants
11%
Vending
Stores
16% Gąs
Stations
24% Fountain
44% Grocery
Stores
Based on the pie chart, the four largest locations for soft drink sales
account for approximately what percentage of total soft drink sales in
the year under consideration?
Answers
Answer: 95%
Step-by-step explanation:
With the information provided, the four largest merchants are Grocery Stores, Fountain, Gas Stations, and Vending Stores.
These stores each make up 44%, 24%, 16%, and 11%, respectively.
The sum of these percentages is 95%. Thus, the four largest locations for soft drink sales make up 95% of soft drink sales.
Write the ratio of the first measurement to the second measurement. Compare in millimeters.
diameter of ball A:30mm
diameter of ball B: 5.7 cm
The ratio of the diameter of ball A to the diameter of ball B is-
Answers
Answer:
The ratio of the diameter of ball A to the diameter of ball B is 10:19.
Step-by-step explanation:
Ratios
A ratio is a relation between two quantities and it's calculated as a division. For example, the ratio between 8 and 4 is 8:4 = 8 / 4 = 2.
We are given the diameters of two balls as follows:
The diameter of the ball A=30mm
The diameter of the ball B=5.7 cm = 57 mm
The ratio of the diameter of ball A to the diameter of ball B is 30:57. Dividing both numbers by 3, we have: ratio=10:19
The ratio of the diameter of ball A to the diameter of ball B is 10:19.
Convert the expression to exponential form
4.4.4.4.4
Answers
Answer:
4^5 (the 5 is the exponent)The exponential form of expression is 4⁵.
What is exponential form?To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.
We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.
Given expression
4.4.4.4.4
Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.
number is in factors
4 x 4 x 4 x 4 x 4
a numerical term that has been increased to certain powers of its prime factors
= 4⁵
where 5 is exponent.
Hence the exponential form is 4⁵.
Learn more about exponential form;
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Solving Real-World Problems involving Rational Numbers: Mast Submit Test
Tools
Info
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in
the area of the rectangle?
The change in the area of the rectangle is
square feet
Reset
Next
Answers
No change in area
Step-by-step explanation:
The area is 60 square feet for both rectangles.
Answer:
0 square feet
Step-by-step explanation:
i got it right
Which best illustrates the distinction between statistical significance and practical importance?
A. In 2016, 240 out of 400 statistics students at Oxnard Technical College sold their textbooks at the end of the semester, compared with 220 out of 330 students in 2015, a significant decrease.
B. Our new manufacturing technique has increased the life of the 80 GB USB AsimoDrive external hard disk significantly, from 240,000 hours to 250,000 hours.
C. In 50,000 births, the new vaccine reduced the incidence of infant mortality in Morrovia significantly from 14.2 deaths per 1000 births to 10.3 deaths per 1000 births.
D. The new Sky Penetrator IV business jet's cruising range has increased significantly from 3,975 miles to 4,000 miles.
Answers
Answer:
The distinction between statistical significance and practical importance is best illustrated by:
C. In 50,000 births, the new vaccine reduced the incidence of infant mortality in Morrovia significantly from 14.2 deaths per 1000 births to 10.3 deaths per 1000 births.
Step-by-step explanation:
Current state Previous state Change
A. Textbooks sold 240/400 (0.6) 220/330 (0.67) 0.07
B. Life of hard disk 250,000 hrs 240,000 hrs 0.04
C. Infant mortality 10.3 per 1000 14.2 per 1000 0.27
D. Cruising range 4,000 miles 3,975 miles 0.006
Statistical significance, which depends on the p-value established before the test, relates to whether an effect exists, while practical significance determines the magnitude or size of the effect. A statistical test cannot tell whether the magnitude is large enough to be important. Mathematically, the change can be determined, which establishes the practical significance or importance of the change.
(2127*34534) : 122
pls need help
Answers
Answer:
36726909: 61
Step-by-step explanation:
2127 * 34534 = 73453818
therefore 73453818: 122
divide both sides to the simplest form
36726909: 61
need help with this please!!
Answers
Answer:
a 1/4 cuz perpendicular m × m original line is -1
can somebody pls help
Answers
HELPPPP 69 POINTS!!!!
△FGH is translated up 2 units to form the image ∆F′G′H′.
What are the coordinates of the vertices of ∆F′G′H′ ?
Enter your answer by filling in the boxes.
F′ = ( , )
G′ = ( , )
H′ = ( , )
Answers
Answer:
I hope the Picture Helps!
Step-by-step explanation:
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The required coordinates of the vertices of ∆F′G′H′ is F' = (-5, 2), G'= (0, 2), and H' = (0, 6).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
As mentioned in the question, a given triangle on coordinate axes translated 2 units up. The term "2 unit up" implies that each ordinate of the coordinates of the triangle is increased by 2 units,
So the trasformation equation for the triangle is given as,
(x, y) ⇒ (x, y+2)
Now, the coordinates of the vertices of ∆FGH,
F = (-5, 0), G= (0, 0) H = (0, 4)
After the trasformation coordinate of ∆F′G′H′
F' = (-5, 0 + 2), G'= (0, 0 + 2) H' = (0, 4 + 2)
F' = (-5, 2), G'= (0, 2) H' = (0, 6)
Thus, the required coordinates of the vertices of ∆F′G′H′ is F' = (-5, 2), G'= (0, 2), and H' = (0, 6).
Learn more about coordinate here:
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give two ways to write the expression as a phase for n+6
Answers
1. N plus 6
2. A number n is added to 6
Who ever Answers first gets a good review
Answers
Answer:
Do we do all of them???
Step-by-step explanation:
a. [-1, 1]
b. [0, pi]
c. [-pi/2, pi/2]
d. -♾, ♾]
Answers
f(x) = sin(x)
Domain (–∞, ∞)
Range [–1, 1]
y = arcsine(x)
y = f–¹(x)
Domain [–1, 1]
Range [–π/2, π/2]
what is the graph of f(x) = x
Answers
Answer:
(0,0) and (1,1)
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept: m = -5,b=4
a. y = -5x + 4
b. y = 5x + 4
c. y= -57-4
d. y = 5x-4
Please select the best answer from the choices provided
Answers
Answer:
A.
I hope this will be useful
Triangle ABC is similar to triangle ADE. Find x, the distance from point B to point C.
Answers
Answer:
30 feet^2
Step-by-step explanation:
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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the y-axis.x2 - y2 = 64, x \geq 0, y = -8, y = 8
Answers
Answer:
The Volume of the solid
V = π(1365.33) cubic units
Step-by-step explanation:
Step(I):-
Given curves are x²- y² = 64 , x=0 , y=-8 and y=8
The given function x = f(y)
x²- y² = 64
x² = y² +64
The Volume of the solid generating by revolving the region bounded by the graphs of the equations
[tex]V = \pi \int\limits^a_b {x^2} \, dx[/tex]
Step(ii):-
the limits are y = a = -8 and y = b=8
The Volume of the solid
[tex]V =\pi \int\limits^8_8 {(y^2+64)} \, dx[/tex]
[tex]V = \pi (\frac{y^{3} }{3} + 64 y )_{-8} ^{8}[/tex]
[tex]V = \pi (\frac{(8)^{3} }{3} + 64 (8) - (\frac{(-8)^{3} }{3} +64(-8) )[/tex]
[tex]V = \pi (\frac{(8)^{3} }{3} + 64 (8) - (\frac{(-8)^{3} }{3} +64(-8) ) = \pi (\frac{1024}{3} + 1024)[/tex]
V = π(1365.33) cubic units
I need the answer quickly. 6(3-2)/6
Answers
Answer:
I think the answer would be 1
Step-by-step explanation:
1 is the answer
3-2=1
6(1)=6
6/6=1
us
Solve for x using the
distributive property.
8(4 + 2x) = 16
Answers
Answer: x=-1
Step-by-step explanation:
Do 8(4) + 8(2x)=16 to use the distributive property. You should get 32+16x=16. Then, subtract 32 from both sides of the equation and you will get 16x=-16. Finally, divide both sides of the equation by 16 and you will get you answer, x=-1. Hope I helped.
= 32 + 16x = 16
= 32-32 +16x = 16-32
= 16x = -16
= 16x/16 = -16/16
= X = -1
So, in conclusion, X = -1
Check:
8(4 + 2(-1)) = 16
= 32 - 16
= 16
Simplify the given polynomial expressions, and determine the degree and number of terms in each expression
Answers
Answer: What is the "given polynomial expressions?"
Music Magic offers live streaming for $9.99 a month, with downloads at $0.50 a song. You have $30 a month budgeted for this service. The equation 0.5s + 9.99 = 30 describes the situation. The solution to this equation is s = 40.02. Explain what this means in terms of service.
Answers
Step-by-step explanation:
$30 a month budget includes:
$9.99 monthly fee$20.01 to download songs, each for $0.50, this makes $20.01/$0.50 = 40.02 songs. So we can download 40 songs with this service.ahdjfvjxbxnxjzjsjnsmsnsns
Answers
Answer:
b sorry if wrong
Step-by-step explanation:
Calculate the federal income taxes. In 1980, the federal income tax was 14 percent on incomes between $2,300 and $3,400 per year, 16 percent
on incomes between $3,400 and $4,400 per year, and 21 percent on incomes between $8,500 and 10,800 per year. In 1980, you made $3,000.
What was your income tax this year?
O $42.00
O $420
$480
$630
Answers
Answer: 420
Step-by-step explanation: 14 percent of 3000 is 420
Correct Answer: $420
Tatiana earns money by babysitting her little cousin. When she babysits for 2 hours she earns $27. When she babysits for 7 hours she earns $94.50. Which equation represents her total wages based on the hours that she works?
Answers
Answer:
36$
Step-by-step explanation:
I took the test
2.865 in expanded form
Answers
Answer: 2.865
Step-by-step explanation:
How to divide with partial quotiants?
Answers
Answer:
You can search it up on Gxogle! It will tell you step by step.
"Step 1: Write a list of easy facts for the divisor.
Step 2: Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem.
Step 3: Repeat until the dividend has been reduced to zero or the remainder is less than the divisor."
I hope this helped!
8 Susie has 1 cup of ice cream. How many 9 4 cup servings can she make? 0 alo c 9 32 G over 8 0012 15
Answers
Answer: c. 3 and 5 over 9
Step-by-step explanation:
There is a 8/9 cup of ice cream. The number of 1/4 cup servings that can be made from this is:
= 8/9 ÷ 1/4
= 8/9 * 4/1
= 32/9
= 3⁵/₉ cups
If the ribbon cost 10￠ (0.10) per foot, what is the total cost of the ribbon in Dollars? Explain your reasoning.
Answers
Answer:
How many feet are you going to buy that is the real question.
Step-by-step explanation:
It depends on how many feet you buy.
Determine the value of w, then x, then y, and finally z.
Answers
Answer:
w 20x35y try to make it work
Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.
Part A Calculate the area of the wheel of cheese. Use 3.14 for π.
Part B
If the 11-inch wheel of cheese costs $21.35, what is the cost per square inch?
Pls help me, I’m desperate lm.ao
its been so long and no one is answering ??? xD
Answers
Answer:
I. 94.99 in²
II. $0.23
Step-by-step explanation:
Given the following data;
Diameter of wheel = 11 inches
[tex] \pi = 3.14[/tex]
Cost of wheel = $21.35
[tex] Radius, r = \frac {diameter}{2} [/tex]
[tex] Radius, r = \frac {11}{2} = 5.5 \; inches [/tex]
Part A
To find the area;
We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;
[tex] Area, A = \pi r^{2} [/tex]
Substituting into the equation, we have;
[tex] Area, A = 3.14 * 5.5^{2} [/tex]
[tex] Area, A = 3.14*30.25[/tex]
Area, A = 94.99 in²
Part B
To find cost per square inch;
[tex] Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel} [/tex]
[tex] Cost \; per \; square \; inch = \frac {21.35}{94.99} [/tex]
Cost per square inch = $0.23
3b - 2a -9 when a =1/2 and b= 7
Answers
Answer: 11
Step-by-step explanation:
1. Evaluate 2a when a = 1/2
2a
2 x (1/2) = 1
2. Evaluate 3b when b = 7
3b
3x7 = 21
3. Put the pieces of the expression back together
21 - 1 -9
4. Solve
11