Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of R T is x. What is the value of x? 12 units 15 units 20 units 25 units
Answers
Answer:
RT = 12 units
Step-by-step explanation:
From the figure attached,
ΔSRQ is right triangle.
m∠R = 90°
An altitude has been constructed from point T to side SQ.
m∠RTQ = 90°
By applying geometric mean theorem in triangle SRQ,
[tex]\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}[/tex]
[tex]\frac{x}{9}=\frac{16}{x}[/tex]
x² = 16 × 9
x² = 144
x = √144
x = 12
Therefore, length of altitude RT is 12 units.
Answer:
12 units
Step-by-step explanation:
Related Questions
find the slope of the line y=-2/3x
Answers
Answer:
-2/3
Step-by-step explanation:
-2/3
What is the value of -2xy if x = -1 and y = 6?
8
12
26
-12
Answers
-2*-1= 2
2*6=12
so 12
A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
∘
C20, point, 66, degrees, start text, C, end text and a standard deviation of 2 ^\circ \text{C}2
∘
C2, degrees, start text, C, end text. The average temperature of Singapore is 26 ^\circ \text{C}26
∘
C26, degrees, start text, C, end text.
What proportion of average city temperatures are lower than that of Singapore?
You may round your answer to four decimal places.
Answers
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
[tex]z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67[/tex]
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
Michael Hendrix earned $232.10 for working 27.5 hours. How much would he earn if he worked 40 hours? (Annex a zero to
the dividend to make the quotient come out even)
out even.)
Answers
Answer:
337.60
Step-by-step explanation:
I divided what he earned by what he worked and multiplied that number by 40
A restaurant manager states the number of customers that enter the restaurant is equal to 4
times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also
states that the number of customers that enter their restaurant is equal to 1 times the number of
people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog
from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round
your answer to the nearest whole number.
Answers
Answer:
9
Step-by-step explanation:
No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.
The number of customers that enter their restaurant is equal to 1 times the number of people that buy a hotdog from the hotdog cart plus 38.
The equation that shows the given condition,
4x + 11 = 1x + 38
x is the no of people
Taking the like terms,
4x-1x=38-11
3x=27
x = 9
So, there are 9 people buying a hotdog from the hotdog cart.
help me please!!!!!
Answers
Answer
the next two terms are
0.000032
0.0000064
1. Split the biconditional into two conditionals: Zipzorps
are jumpy if and only if Flygers are therapeutic.
Answers
Answer:
Conditional: If ZipZorps are jumpy, then Flygers are therapeutic.
Converse: If Flygers are therapeutic, then ZipZorps are jumpy.
Step-by-step explanation:
ZipZorps are jumpy.
Flygers are therapeutic.
These are the 2 statements.
You have to have a true conditional and converse statement to create a biconditional statement.
Find the unit rate.
9 pounds per 6 crates
Ib per crate
Answers
Answer:
1.5
Step-by-step explanation:
I solved it and got it right
Answer: 1.5 pounds per crate
3) How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
(a) $44.00 (b)$47.00 (c)$53.00 (d)$56.00
Answers
which of the following equations represents the sequence 17,14,11,9... ?
Answers
Answer:
Subtract 3
Step-by-step explanation:
Each time the following number decreases by 3
Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)
Answers
simplify the expression: 3x + 7y - 5x + 9x - y
Answers
Step-by-step explanation:
10x+4y.............
Answer:
B. 7x + 6y
Step-by-step explanation:
3x + 7y -5x +9x -y
= (3x - 5x +9x) + (7y - y)
= 7x + 6y
The difference between of a number q and 8
Answers
square root of 9 on a graph
Answers
Answer:
I think the answer is 3
which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers
Answers
Answer: 21
Step-by-step explanation: I got it right
Find the missing number in this sequence
1,0,1,1,0,1,_.1.0.1.1.1.10
Answers
Answer:
0
Step-by-step explanation:
look at the first numbers
Answer:
1,0,1,1,0,1,1,1,0,1,1,1,1,0
hope it helped :)
Step-by-step explanation:
find the difference
5/6-7/10
Answers
Answer:
2/15
Step-by-step explanation:
BRANIEST PLS
Answer: 2/15 is the answer hope this help
Step-by-step explanation:
Wht Is a fraction equivalent to 0.4 repeating its self
Answers
4/9 is the answer
hope this helps
Identify the coefficient in each term
5. 4x^3
6. y^3
7. 2n^7
8. -s^4
Answers
Answer:
5. 4
6. 1
7. 2
8. -1
Step-by-step explanation:
Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!
8^ 1/3 what is it simplified
Answers
Step-by-step explanation:
Simplifying mixed numbers
Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.
Answer:
8^1/3= 2
:-))))
4x - 3 = 3x + 4 what is the value of x
Answers
Answer:
x = 7
Step-by-step explanation:
kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 65º. Find the length of the string. Round your answer to
the nearest tenth.
Answers
hope it helps!
Answer:
107.9 ft
Step-by-step explanation:
Imagine Kite is a point A. The person ,who keeps the string is point B.
The height of flying is AC=85 ft. So we have right triangle ABC :angle C=90 degrees, angle B is 52 degrees. Length of AB (triangle ABC hypotenuse) is the length of the string.
AB=AC/sinB=85/sin52=107.8665...=approx 107.9 ft
The length of the string is 86.1 ft.
As per the given data:
Height of the kite flying from the ground = 78 ft
The angle of elevation of the kite from the ground = 65°
From the diagram, we can clearly observe the right-angled triangle with perpendicular as 78 ft if formed.
The length of the string is the hypotenuse.
By using the trigonometric ratio sinθ.
sinθ = Perpendicular / Hypotenuse
sin65° = 78 / Hypotenuse
0.906 = 78 / Hypotenuse
Hypotenuse = 78 / 0.906
Hypotenuse = 86.1 ft
Hence, the length of the string is 86.1 ft.
To learn more about Trigonometry, click:
brainly.com/question/29002217
#SPJ2
What is the distance between (2, 8) and (-7, 8)?
Answers
Answer:
9
Step-by-step explanation:
The distance between (2,8) and (-7,8) is 9
Answer:9
Step-by-step explanation:
You are decorating a Rose Bowl float. There are 108 red roses, 144 white roses, 48 yellow roses, and 72 purple roses. If bunches of roses are identical and there are no leftover roses, what is the greatest number of bunches that can be made? How many roses of each color are in each bunch?
Answers
Answer:
Step-by-step explanation:
Number of red roses = 108
Number of white roses = 144
Number of yellow roses = 48
Number of purple roses = 72
If the number of roses in each bunch are identical,
Number of bunches of roses = HCF of number of roses
Factors of 144 = 3×3×2×2×2×2×1
Factors of 108 = 3×3×3×2×2×1
Factors of 72 = 3×3×2×2×2×1
Factors of 48 = 3×2×2×2×2×1
Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12
Therefore, number of bunches of roses with equal number of roses = 12
Number of red roses in each bunch = [tex]\frac{108}{12}=9[/tex]
Number of white roses in each bunch = [tex]\frac{144}{12}=16[/tex]
Number of yellow roses in each bunch = [tex]\frac{48}{12}=4[/tex]
Number of purple roses in each bunch = [tex]\frac{72}{12}=6[/tex]
A $23.00 item with sales tax of 8%? Find the sales tax?
Answers
Answer:
Step-by-step explanation:
Tax = 8% of 23
= [tex]\frac{8}{100}*23[/tex]
= [tex]\frac{184}{100}[/tex]
= $ 1.84
Answer
The answer is $1.84
Step-by-step explanation
The formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax.
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can also be carried by the hot air balloon?
Answers
Answer:
8 sand bags can be carried along.
Step-by-step explanation:
First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.
Answer:
0, 5, 8
Step-by-step explanation:
Question 1
Sione just landed a great job as an engineer where he will make $55,000 a year. The
company he will work for guarantees a 3% pay increase each year so it's employees
salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000
dollars.
1. What is the recursive function that will represent this situation?
a. m(t) = m(t - 1) + 0.03, m(1) = 55000
b. m(t) = m(t-1). 0.03, m(1) - 55000
c. m(t) = m(t-1) + 1.03, m(1) - 55000
d. m(t) = m(t-1). 1.03, m(1) = 55000
Answers
Answer:
Option (d)
Step-by-step explanation:
If the current salary of Sione is represented by the function m(t - 1),
Next year his salary m(t) gets hike of 3%.
So, the next year salary of Sione will be represented by,
m(t) = m(t - 1) + 3% of m(t - 1)
= m(t - 1) + 0.03 × m(t - 1)
= m(t - 1)(1 + 0.03)
= 1.03m(t - 1)
Since, at the end of year 1 his salary was $55000,
Recursive function will be,
m(t) = 1.03m(t - 1) = 55000
Therefore, Option (d) will be the answer.
Covert 45 1/2 % to a fraction
Answers
can any one pls help me with 14,15 pls tysm! have a great day :D
Answers
Answer:
14.$403.46 or $403.50(rounded)
15.11.55 or 11.60(rounded)
Step-by-step explanation:
Commission is when you get a percent added to the amount of money you have already so with that being said-397.50+1.5%
She uses 24% so with that being said to find the amount left you have to subtract the percent from the original amount-15.2-24%
Please answer this much appreciated.
Answers
Answer:
a = [tex]\frac{h-r}{b}[/tex]
Step-by-step explanation:
Given
h = ab + r ( subtract r from both sides )
h - r = ab ( isolate a by dividing both sides by b )
[tex]\frac{h-r}{b}[/tex] = a