AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter
![AABC ~ AQRSFind The Missing Side Length, N.RB6nU2c5sn = [?]Enter](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/d2o6msMTCzZqbNM0ou7Nru7GGT52NJU9.png)
Answers
Answer:
n = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )
[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2n = 30 ( divide both sides by 2 )
n = 15
Related Questions
A triangle has two sides of length 19 and 19. What is the largest possible whole-number length for the third side?
Answers
Answer: 37
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.
What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
Answers
The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The area of a circle is found as;
A = πr²
A = π(7.2 ft)²
A = 162.78 ft²
The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;
[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]
Hence the area of the sector will be 59.19 ft².
To learn more about the area of the sector refer to the link;
https://brainly.com/question/1582027
Which expression is equal to – 8s – 2s2 + 23s – 4?
A. -2s^2 + 15s - 4
B. -10s^2 + 23s - 4
C. -2s^2 - 8s + 19 - 4
D. 13s^2 - 4
Answers
Answer:
A. -2s^2 + 15s - 4
Step-by-step explanation:
A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places
Answers
The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
How to calculate the confidence interval for proportion?The formula for calculating the confidence interval for proportion is expressed as:
[tex]p \pm z\sqrt{p(1-p)/n[/tex]
p is the proportion
z is the z score at 99% interval
n is the sample size
Given the following parameters
[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]
Substitute the values
[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]
Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
Learn more on confidence interval here: https://brainly.com/question/15712887
If 1 ounce is approximately 28 grams, convert 392 grams to ounces. Round to the nearest hundredth,
Answers
Step-by-step explanation:
1 ounce = 28grams
x grams = 392
x = 392/28
x = 14.oo ounces
Round to nearest tenth and solve for x
Answers
Answer:
[tex]\displaystyle 9,6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
OR
[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses, H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answers
The answer is: Yes, all conditions for inference are met.
Anyone know this or how to work this out
Answers
Answer:
140 degrees.
Step-by-step explanation:
All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]
Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:
[tex]\angle{RQS}=130^\circ[/tex]
[tex]\angle{TQS}=90^\circ[/tex]
We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:
[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]
Combine like terms:
[tex]230^\circ+\angle{RQT}=360[/tex]
Subtract [tex]230^\circ[/tex] from both sides:
[tex]\angle{RQT}=140^\circ[/tex].
hello, please answer the question, please show work
Answers
Answer:
5
Step-by-step explanation:
[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5
name a right angle I need some help
Answers
Answer:
90°
Step-by-step explanation:
A right angle is 90° ,learned that in elementary.
Answer:
A right angle is an angle with a 90 degree corner.
Step-by-step explanation:
Rose is 60 inches tall. how many feet tall is Rose
Answers
Answer:
5 feet
Step-by-step explanation: 60 divided by 12 inches is 5 feet
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action.
Select all that apply.
I A. Action: Add 3 to both sides.
OB. Action: Multiply both sides by 3.
O C. Action: Divide both sides by 3.
D. Property: Addition property of equality
I E. Property: Multiplication property of equality
O F. Property: Division property of equality
Answers
Answer:
C , F
Step-by-step explanation:
you need to divide both sides by 3 in order to get x
3x = 12
x = 4.
the property is the division property of equality.
pls give brainliest
Expand 3(2x-7) - 2(3x+5)
Answers
Answer:
-31
Step-by-step explanation:
Expand 3(2x-7) - 2(3x+5)
Distribute:
3(2x-7)
6x - 21
-2(3x+5)
-6x - 10
Add:
6x - 21
- 6x - 10
- 31
Hope this helps!
Answer:
[tex]\boxed{\sf{-31}}[/tex]
Step-by-step explanation:
If you want to solve this, you must expand by a distributive property.
Distributive property:
A(B+C)=AB+AC3(2x-7)-2(3x+5)
3(2x-7)
3*2=6
3*7=21
Rewrite the problem.
6x-21
6x-21-2(3x+5)
-2(3x+5)
-2*3=-6
-2*5=10
-6x-10
Rewrite the problem down.
6x-21-6x-10
Combine like terms.
6x-6x-21-10
Add similar into their elements.
6x-6x=0
-21-10
Solve.
Subtract the numbers from left to right.
-21-10=-31
-31
Therefore, the correct answer is -31.I hope this helps you! Let me know if my answer is wrong or not.
Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.
help pls
Answers
Answer: 98g
Step-by-step explanation:Given relationshipSalt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g
48 ounce bag of granola each month how many pounds if granola does she eat each year
Answers
Answer:
12 months = 1 year48 ounce bag of granola per month.
T = 48x
Where 'x' represents the months.
Replace x with 12, because we want to know how many ounces she eats each year.
T = 48x
T = 48(12)
T = 576 ounces, she eats each year.
Can anyone help me with this puzzle equation please
Answers
The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Question:
The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)
Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft
Not fully sure....
But it should be right...
If p(a) =. 35 and p(b) =. 45 and p(a and b) =. 25, then p(b|a) is
Answers
Answer:
p(b|a) =5/7
Step-by-step explanation:
hello :
note : p(b|a) = p(a and b)/p(a)
p(b|a) = 25/35 =5/7
The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're given that:
P(A) = 0.35P(B) = 0.45P(A and B) = P(A ∩ B) = 0.25P(B|A) = to be known.Using the chain rule of probability, we get:
[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]
Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
Learn more about chain rule here:
https://brainly.com/question/21081988
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In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?
Answers
Answer:
I think Angle T is 36 degree
I think it will help you
Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ
Answers
Answer: -20/21
Step-by-step explanation:
Using the Pythagorean identity, we can get that the sine of angle theta is [tex]\pm 20/29[/tex].
But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.
Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21
Is (1, 0) a solution to the equation y= –9x + 1?
Answers
Answer:
No
Step-by-step explanation:
→ Substitute the x value into the equation
-9 × 1 + 1
→ Simplify
-8
→ Compare to given y value
0 ≠ -8
Answer:
no
when you substite the values you don't get the same values
my brother wants answers and im too lazy lol but nigel has 2 dogs. one eats 2 1/2 pounds of food each week. the other eats 1 3/8 pounds each week. together how much do the dogs eat each week
Answers
Answer:
3 7/8 would be your answer
Need done ASAP
If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work
Answers
(
f
+
g
)
(
x
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=
(
2
x
+
7
)
+
(
5
x
−
2
)
=
7
x
+
5
(f+g)(x)=(2x+7)+(5x−2)=7x+5
(
f
−
g
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(
x
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=
(
2
x
+
7
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−
(
5
x
−
2
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=
9
−
3
x
(f−g)(x)=(2x+7)−(5x−2)=9−3x
(
f
⋅
g
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(
x
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=
(
2
x
+
7
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⋅
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5
x
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=
(
2
x
+
7
)
(
5
x
−
2
)
(f⋅g)(x)=(2x+7)⋅(5x−2)=(2x+7)(5x−2)
(
f
g
)
(
x
)
=
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2
x
+
7
)
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5
x
−
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(
g
f
)(x)=
(5x−2)
(2x+7)
=
5x−2
2x+
Answer
5
(f+g)(x)=7x+5
(
f
−
g
)
(
x
)
=
9
−
3
x
(f−g)(x)=9−3x
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f
⋅
g
)
(
x
)
=
(
2
x
+
7
)
(
5
x
−
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)
(f⋅g)(x)=(2x+7)(5x−2)
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f
g
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(
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=
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x
+
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5
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−
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(
g
f
)(x)=
Can someone help me?
Answers
Answer:
Min = 4
Q1 = 9.5
Median = 13
Q3 = 16
Max = 19
Step-by-step explanation:
4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19
Q1 Q2 Q3
Min (minimum value) = 4
Q1 (middle value of values before Q2) = (9 + 10) / 2 = 9.5
Median (middle value) = 13
Q3 (middle value of values after Q2) = (15 + 17) / 2 = 16
Max (maximum value) = 19
What are the coordinates?
Answers
Answer:
[tex](1,1)[/tex]
Step-by-step explanation:
If you graph it, You can see that the last point will be [tex](1,1)[/tex].
Hope This Helps!
the question is
on the image.
Answers
Answer:
PR = 7.99 cm (2 dp)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
a = PRb = PQ = 12.1 cmc = RQ = 14.5 cmSubstituting the given values into the formula;:
⇒ a² + b² = c²
⇒ PR² + 12.1² = 14.5²
⇒ PR² + 146.41 = 210.25
⇒ PR² = 210.25 - 146.41
⇒ PR² = 63.84
⇒ PR = ±√(63.84)
⇒ PR = ±7.99 (2 dp)
As distance is positive, PR = 7.99 cm (2 dp) only
Find the distance between A(5, -2) B(3, -6)
Answers
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Anyone know this answer too??
Answers
Answer:
[tex]x = -21[/tex]
Step-by-step explanation:
[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]
(05.01 LC) which equation can be used to calculate the area of the shaded triangle below? A. 2(10+6) = 32
B.1 over 2(10 +6) = 8
C. 1 over 2(10 x 6) = 30
D. 2(10 x 6) = 120
Answers
Answer:
(c) 1/2(10×6) = 30
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
The shaded triangle has a base of 10 feet and a height of 6 feet. Using these numbers in the formula, the area in square feet is ...
A = 1/2(10×6) = 30 . . . . square feet
This expression matches the 3rd choice.
what is 43-3y=16 find the unknown?
Answers
Answer:
9
Step-by-step explanation:
We have to move -3y to by itself so we move 43 to the other side, when we do this 43 becomes negitive.
-3y = 16 - 43
-3y = -27
Now we divide -27 by -3
y = -27/-3
y = 9
[tex]\rightarrow\sf{y \:=\: 9}[/tex]
Solution:-[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]
[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]
[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]
[tex]\rightarrow\sf{3y \:= \:27}[/tex]
[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]
[tex]\rightarrow\sf{y \:= \:9}[/tex]
Therefore, value of unknown y = 9.
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Hope it helps you:)