Answer:
a) OP:RT = 10:3
b) OQ = 15 cm
c) m<P = [tex]60^{o}[/tex]
d) m<Q = [tex]94^{o}[/tex]
Step-by-step explanation:
Given that: ΔOPQ is similar to ΔRTS
Then;
a) OP:RT = 12:3.6
= [tex]\frac{120}{36}[/tex]
= [tex]\frac{10}{3}[/tex]
= 10:3
The ratio of OP to RT is 10:3.
b) The measure of length OQ = [tex]\frac{10}{3}[/tex] x 4.5
= 15 cm
c) m<P ≅ m<T
So that,
m<P = [tex]60^{o}[/tex]
d) m<Q ≅ m<S
But,
26 + 60 + m<S = 180 (sum of angles in a triangle)
86 + m<S = 180
m<S = 180 - (86)
= [tex]94^{o}[/tex]
Thus,
m<Q = [tex]94^{o}[/tex]
4(g - h) + 10 , when g = 12 , h = 7
Answer: 30
Step-by-step explanation:
4 (12 - 7 ) + 10
Do 12 - 7 first. It'll equal 5
4(5)+10
Now multiply 4 and 5.
It'll be 20.
20+10 =30
Answer:
30
Step-by-step explanation:
4(12-7)+10 or: 4(12-7)+10
48-28+10 4(5)+10
20+10 20+10
30 30
you can do it either way hope this helps
Karma's sock drawer has 8 striped socks, 4 polka dot socks, 6 fuzzy socks, and 2 socks with holes. What is the probability that she randomly chooses a sock with holes on her first grab, returns it to the drawer and picks another sock with holes in it?
Answer:
quite low, but not impossable.
Step-by-step explanation:
3 in. 6 in. 5 in. Find the surface area of the shape above, A 14 in 2 B 56 in? C 90 in? D 126 in
Answer:
C) 90in
Step-by-step explanation:
3 x 6 x 5 = 90
hey besties first to answer gets brainliest bc i forgot how to calculate triangles
Maxine has a poster of her favorite ascertaining in her bedroom. The poster is 2.5 feet tall and 1.3 feet wide.what is the area of the posters 
Answer:
3.25 ft
Step-by-step explanation:
A = bh
A = (2.5)(1.3)
A = 3.25
Answer:
3.25 ft
Step-by-step explanation:
A =bh
A =(2.5)(1.3)
A =3.25
SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context
Answer:
The population is 384 bacteria at 2pm
Step-by-step explanation:
Because u just need multiplied
True or false. The GCF of 6 and 12 is 2?
math easy question?
pls help
PLEASEEE HELP!
The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up?
Answer:
4
Step-by-step explanation:
120/30=4
12 volunteers already signed up.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
She knows that finishing the shed will take 120 work hours.
let n be the number of volunteers.
So, 1/n - 1/(n+1)= 1/120
(n+1-n)/n(n+1)= 1/120
1/n²-n = 1/120
n² - n= 120
n² - n -120= 0
n= 11.46 and n= -10.46
Thus, 12 volunteers already signed up.
Learn more about Algebra here:
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What is the exact distance from (−4, −2) to (4, 6)?
square root of 24. units
square root of 88. units
square root of 100. units
square root of 128. units
35 points!!
Answer:
Arf ( its 128 units)
Step-by-step explanation:
what is the mixed number: 1 and 3/4 as a percent
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
-7=-0.2k
K=
Please help!
Answer:
Your answer should be 35 :)
Step-by-step explanation:
Hope this helps!
Find the sum of the first 6 terms of the following series, to the nearest integer.
180, 30, 5, ...
Answer:
Step-by-step explanation:
First solve for the common ratio:
[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]
Use the geometric summation equation to solve for sum:
[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]
The sum of the first 6 terms of the following series is 540.
What is the geometric series?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.
The sum of the terms of the geometric sequnece is given by;
[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
The common ratio of the sequence is;
[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]
The sum of the first 6 terms of the following series is;
[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]
Hence, the sum of the first 6 terms of the following series is 540.
Learn more about geometric sequence here;
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Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.
3, 10, 6, 9, 7, 4
Answer:The mean absolute deviation (MAD) of the data set=2.17
Step-by-step explanation:
The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each data value in a data set.
Given the data set
3, 10, 6, 9, 7, 4
First find the mean
Mean =Sum of data set / Number of data set
=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5
Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean
Value distance from mean
3, 6.5 -3 3.5
10 6.5 -10 3.5
6, 6.5-6 0.5
9, 6.5 -9 2.5
7, 6.5 -7 0.5
4 6.5 -4 2. 5
Last step is to find the mean of the distances which is
Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) / 6
=13/6
=2.166666 rounded up to 2.17
Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.
Select all true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.
B The cost is $7 per ticketThe cost is $7 per ticket
C For $42 you could get 6 tickets. For $42 you could get 6 tickets.
D 12 tickets would cost you $60
Answer:
B
Step-by-step explanation:
28/4=7 therefore, each ticket is $7.
Answer:
B, C
Step-by-step explanation:
A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.
B is right due to the fact that each ticket is $7 if you divide $28 by 4.
C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)
D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.
what is quarter to twelve on the 24 hour clock
Answer:
11:45
Step-by-step explanation:
12 am 6om 60 A 180 cm B) 160 cm C 200 cm D 240 cm? ~PLEASE RESPOND AND LOOK AT PIC~
Hurrrry
Djdbdidbdudhhebfjfnifnf
Answer:
I don't know that answer will come back to you
Radius of a cylinder is 6 inches and the
height is 13 inches. Find the exact
volume of a cylinder.
Volume =
Answer:
V≈1470.27
Step-by-step explanation:
V=πr2h=π·62·13≈1470.26536
Choose the letter of the point which is at (3.5, 3.5) in the following figure.
write your answer (168 ÷ 7) × 3^2 - 43
Answer:
173
Step-by-step explanation:
Answer:
173
Step-by-step explanation:
plsss help i need a good grade
Answer:
Step-by-step explanation:
What is a scale model of a project?
Answer: A scale model is a representation or copy of an object that is larger or smaller than the actual size of the object being represented. Very often the scale model is smaller than the original and used as a guide to making the object in full size.
Solve this PLZZZZZZ
Answer:
X = -1, 3
Step-by-step explanation:
Determine the slope (8grade
Answer:
-2.5
Step-by-step explanation:
The slope is the rate.
PLEASE HELP HURRY 20 POINTS AND I WILL MARK BRAINLEST
Justin’s pay is represented by this line graph.
How much is Justin paid for one hour of work?
What is the equation of a circle whose center is at the origin and whose radius is 16?
x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256
Answer:
x^2 + y^2 = 256
good luck and have an awesome Day/Night
What is the greatest common factor of 46 and 16?
OMG!!! Help MEH 20 PIONTS AND CROWN I REALLY NEED HELP :'( I NEED MY GRADE UP EVERYTHINGS BELOW
Answer:
Question 3: There are two sets of like terms. The first one is 4 and -2. The second one is -4z, 5z and 2z. When you combine them the answer is 2+3z.
Question 2: -24-3x
Answer: Hope This Helps <3
Step-by-step explanation:
Question 1: 2+3z
Question 2: -24-3x
Hope your grades get better <3
Find the value of x.
110
80
40
35
Answer:40
Step-by-step explanation: