Answer:
PQ = 35 km
Step-by-step explanation:
Here, we want to get the length of PQ
Let PQ = x
PR is 10 km longer than PQ
PR = 10 + x
QR = 2 * PR
QR = 2(10 + x)
Adding all gives 170;
x + 10 + x + 2(10 + x) = 170
2x + 10 + 20 + 2x = 170
4x + 30 = 170
4x = 170-30
4x = 140
x = 140/4
x = 35 km
PQ = 35 km
The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
What is the length of line segment?Length of line segment (say YX) is the distance of both the ends of it (y to x).
Towns P, Q and R are connected by roads PQ ,PR and QR.
The line segment PR is 10 km longer than PQ. Therefore,
[tex]PR=PQ+10\\PQ=PR-10[/tex] ......1
The line segment QR is twice as long as the line segment PR. Therefore,
[tex]QR=2PR[/tex] .....2
The total length of three roads is 170 km. Therefore,
[tex]PQ+PR+QR=170[/tex]
Put the value of PR and QR from equation 1 and 2 in the above equation as,
[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]
As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,
[tex]PR=45-10\\PR=35\rm km[/tex]
Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
Learn more about the line segment here;
https://brainly.com/question/2437195
Evaluate: ⎪-26⎥ + ⎪-17⎥
Answer:
43
Step-by-step explanation:
the true values of each number is 26 and 17 so adding them gives you 26+17
Triangle ABC is similar to triangle DEF. If angles ABC and DEF measure 54 degrees and angles BCA and EFD measure 38 degrees, what are the measures of CAB and FDE? SHOW WORK TO JUSTIFY YOUR ANSWER.
Answer:
78 degrees
Step-by-step explanation:
hope this is right i added and somehow got this tell me if i got it right or wrong no hate
Find the volume of a pyramid with a square base, where the area of the base is 7.5cm^2
and the height of the pyramid is 8.6cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
21.5 cu. cm.
Step-by-step explanation:
Volume of a pyramid is
V = 1/3Bh B = area of the base h = height of pyramid
V = 1/3(7.5)(8.6)
= 21.5 cu. cm.
Please help me:((( George has a square garden with an area of 25 square feet. He doubles both the length and width of his garden. State the letters and answers to the questions given. a. Draw a diagram to show George's garden after its length and width are doubled. State the length and width of the new square. b. What is the new area of his garden? C. How many times greater is his new garden's area than his original garden's area? 25 sq ft
Yesterday 1/8 of the books were sold at the bookstore were science fiction books.which decimal is equivalent to this fraction of books sold.
Answer:
1/8 in decimal form is 0.125
Simplify 2.1+(-3.7h)+1.9h-1.4
Mac Cosmetics sells a lip gloss for $15.50, but it only costs the company $6 to make it. What is the percentage markup on the lip gloss? Show all of your work and record your final answer in the space below.
Answer:
258 percent
Step-by-step explanation:
15.5/6 is 2.58, which is 258 percent
Help!
Evaluate the logarithmic function for the given value.
f(x) = log3 x for f(243)
f(243) =
M
Answer:
5
Hope it helps
Please mark me as the brainliest
Thank you
What are the next three terms in the sequence? -112, -129, -146, ___________
Explain your answer.
Answer: -163, -180, -197
Step-by-step explanation:
will give brainliest
I believe it should be 5
Step-by-step explanation:
I believe this because 16÷8=2 so 10÷2=5
someone help me here please!!
-2(3x - 10) -what would you get when distributed.
Answer:
-6x+20
Step-by-step explanation:
Use trigonometric ratios to solve the right triangle. Pls Help
Write this in order: (greatest to least:)
112 , 100.789 , 101.89 , 101.9 , 190. 1
190.1 112 101.9 101.89 100.779 1
not sure
GOOD LUCK
1. For the exponential function y = 2^x:
a) What is the y-intercept?
b) What is the domain?
c) What is the range?
d) What is the equation of the asymptote?
PLEASE HELP EXPONENTIAL FUNCTION!!
Answer:
D
Step-by-step explanation:
pajsoajssksksjsnsjeieueisjehedie
Select 3 side lengths that can form a right triangle.
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
Edit: I had to change cause it was wrong
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
16 squared = 256
63 squared = 3969
16 squared + 63 squared = 4225
65 squared = 4225
A^2 +B^2 = C^2
please help with maths !
Answer:
4.91
Step-by-step explanation:
trying to find adjacent, you know the angle and hypotenuse, so use the CAH equation
cos(51) x 7.8 = 4.91 (3 s.f.)
Answer:
use Pythagoras theorem for this question because this is a right angled triangle
HELP!
The net of a cylinder with a radius of 5cm and a height of 8cm is drawn below. Work out the surface area of the cylinder.
Answer:
408.41 cm²
is the answer
urgent !!
In Cynthia's physics class, she must turn in four lab reports. For each report, she earns extra credit if her percent error is less than 5%.
For her first lab report, she calculated the value of the acceleration due to gravity three times. She got the following three values.
9.56 ms2
9.72ms2
9.88ms2
The accepted value of the acceleration due to gravity is 9.8ms2.
Which option is closest to Cynthia's percent error?
about 8%
about 1%
about 0.8%
about 5%
Answer:
9.56 Ms2
Step-by-step explanation:
The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?
Answer:
625
Step-by-step explanation:
Let two number be x and (50-x).
The product of numbers be x(50-x).
P = 50x-x²
For maximizing the product,
[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]
So, the maximum product, P = 50(25)-(25)²
P = 625
Hence, the maximum value of the product of these two numbers is 625.
What is the value of the expression 6+5 x (8 ÷ 2)2?
Crystal bought a jacket that is $65. She has a coupon for 20% off. She needs to pay 9% tax on the jacket. What is the total amount that she needs to pay for
the jacket?
Answer:
va cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speed
can someone please help me
Answer:
[tex] \frac{7 \times 2}{10 \times 2 } \\ = \frac{14}{14 + 6} [/tex]
pls help ive posted 3 times now no one has gave me an asnwer at least view it
its not the 2nd answer
Answer:
B) 7.2 cm / 22.61 cm
Step-by-step explanation:
6.28 / 2 = 3.14
3.14 x 7.2 = 22.608 = 22.61
Circumference = 7.2
Diameter = 22. 61
7.2 cm / 22.61 cm
help me whit this I am confused
Answer: c
Step-by-step explanation:
if you think about the equations as linear functions, you can imagine that if they do intersect, it must be on only one point (since two straight lines cant intercept at more than one point, unless they are the same line)
therefore the point has to be the one and only intercept- satisfiing both linear equations
quadrilateral CDEF is dilated by a scale factor of 3/4 to form quadrilateral C'D'E'F. What is the measure of side E'F?
Answer:
9
Step-by-step explanation:
Side EF is 12 units, so you have to multiply 12 by 3/4, and you get 9.
Answer:
ucgt
Step-by-step explanation:
jtyuck,
ugvh
Simplify the following expression using exponents
Answer:
-16 over 125a^11b
Step-by-step explanation:
please help!!
In a survey, 90% of dentists recommended sugarless gum for their patients who chew gum. If the total number of dentists surveyed was 80, how many dentists recommended chewing sugarless gum?
(Hint: What is 90% of 80?)
Answer:
72
Step-by-step explanation:
80x.90= 72
Answer:
72 is your answer
Step-by-step explanation:
Need help ASAP because it’s hard lol
Answer: y = x + 2
Step-by-step explanation: We can see the y-intercept is 2 on the graph, and the slope is 1
Answer:
y=x+2
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
y = 25x + 128.8
Step-by-step explanation:
y = total cost
x = amount of days the car was rented
25 represents the daily charge for the fee and the insurance (15+10=25)
128.8 represent the cost for miles driven by Jerry
This was calculated by multiplying the amount of miles he drove (644) by the cost of each mile (.20)
644x.20=128.8 so the cost for miles driven is $128.8 which is why it was added to the equation