The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.
[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]
A roller coaster can acommodate 150 people in 10 minutes How many people could ride the rolloer coaster in 25 minutes?
Answer:
375
Step-by-step explanation:
150 x 2= 300 -Thats for the 20 minutes
And 150 divided by 2 = 75= Thats for the addtional 5 minutes
A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print
Answer:
Step-by-step explanation:
1. 7$ for Each Shirt 2$ is for the Print $2.50 is the cost of back
1. (7x2x2.50) ---All Multiplication
2. Answer 35.00
Breakdown
$7.00 Mulltiplied by 2 which gives you $14.00
Then you multiply it by $2.50
Which Gives you $35.00
A shopkeeper orders a special brand of coffee powder to be delivered to
him. A packet of this coffee powder cost $2. These packets are packed into
containers which cost $3 each. Each container can hold 30 packets. A van
delivers 60 containers of this coffee powder to the shop and charges $20 for
transport, How much does the shopkeeper pay altogether?
Answer:
$3800
Step-by-step explanation:
30 x 2 = 60
60 + 3 = one container
60 containers = 63 x 60
3780 + 20
3800
PLEASE HELP I BEG IMMA FAILLLLLLLLL
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?
Answer:
2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10
Hope I Helped You:)
Find the measure of midsegment EF.
Answer:
29 units
Step-by-step explanation:
The midsegment of a trapezoid is the average of the top and bottom sides.
(25+33)/2 = 29
Answer:
measure of midsegment EF is 29
Step-by-step explanation:
basically just find the average of the two numbers
25+33/2 = 29
Write an inequality that represents the graph
Answer:
y<=-1/2x-2
Step-by-step explanation:
Change 7 1/4 to an improper fraction
Answer:
29/4
Step-by-step explanation:
7 x 4 = 28
28 + 1
hope that helps!
Answer:
29/4
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
4 × 7 = 28
Step 2
Add the answer from Step 1 to the numerator
28 + 1 = 29
Step 3
Write answer from Step 2 over the denominator
29/4
Hope this helps!:)
Find the amount paid for the loan. $4,800 at 9.9% for 4 years
Answer:
the amount paid for the loan would be $6700.80
Help ASAP pleaseee
A line passes through the points (-4,1) and (-3,3) this line can be modeled by the equation y=mx+b
What is the values of m and b?
Answer:
2/1=2
Step-by-step explanation:
y=mx+b= 2
3-1=2
-3-(-4)=1
2/1=2
Answer:
m = 2 and b = 9
Step-by-step explanation:
i think yes, bc the equation is y = 2x + 9
Which of the following values are in the range of the function graphed below?
Check all that
apply.
Answer:
(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]
Step-by-step explanation:
Brainliest Please
A town of population 25,000 grows at a constant rate of 1500 people every year. Find the population after 5 years
40,000
32,500
35,000
32,000
In triangle cyz angle x=135 degrees y=21 degrees and z=4. Find side x to one decimal place.
I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?
what is the constant for 1000z + 800y
Answer:
No
Step-by-step explanation: they're is no constants they are both coeffitient because they are both numbers infront of the variable
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 centimeters.
What is the volume of the tube?
A
400pi cubic centimeters
B
800pi cubic centimeters
C
1, 600pi cubic centimeters
D
6, 400pi cubic centimeters
Answer:
Option C
Step-by-step explanation:
Radius = D/2
=> 8/2 => 4 cm
Volume = πr²h
=> π × (4)² × 100
=> 16π × 100
=> 1600π cm³
The square root of pie must be at less ten numbers long
The square root of pi is 1.77245385091.
50 POINTS!!!!!!!!
(if you answer just for points or its a wrong answer and no effort was put fourth, then I will report and remove your answer, however a correct answer I will mark with a brainliest)
Please also provide and in detail explanation on how you solved it.
Substitution:
2x + 4y = 0
y = -8x
Basically I dont understand how to do it if it has an x value on both the top and the bottom equation.
Answer:
x=0, y=0
(0,0)
Step-by-step explanation:
First you see that y= -8x, so you would place that in the y variable for the question above, which means your question would now be 2x+4(-8x)=0. Now you would solve 4 time -8x which is -32x. The equation would then be 2x-32x=0. Then you would Combine Like Terms which would get you -30x=0. Then you divide -30 by 0 which gets you an x = 0. Then you would solve for y. Lets make it easy. You can plug in the x to any of the substitution problems, but I prefer doing it to y= -8x since it is easier. You will see why. You would then do, -8(0) (0 is the x value) and your answer would be 0, because -8 times 0 is well 0. Once you got this, you know your x is 0 and y is 0, so your answer would be (0,0). The reason it is easier to substitute the bottom rather than the top is because for the top, you would do 2(0) + 4y = 0, then you would solve which gets you 0+4y=0, then subtract 0-0 which is 0, then you would divide 4y by 0 which gets you an answer of 0. This is much more complex than just substituting the problem for y = -8x. I really hope this helps you out. I know it is confusing, but if you keep on solving more of these and working them out, then it will become much easier for you.
Find the roots of the equation: y^2-1/16=0
Answer:
1/4, -1/4
Step-by-step explanation:
Simply solve for y
The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?
Will mark brainliest
Answer:
The heart is in the Quadrant IV
Answer:
your anwser would be IV please mark brianliest
Step-by-step explanation:
Pls I need help quickly!
Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
Mindy claims 20 sets of shoes and consistently she buys two additional matches.
The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,
aₙ = a₁ + nd
aₙ = 20 + 2n
The number of weeks is given as,
50 = 20 + 2n
50 = 20 + 2n
50 = 20 + 2n
Simplify the equation, then we have
2n = 50 - 20
2n = 30
n = 30 / 2
n = 15
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
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Factor out the GCF
4g^3-6g+20g^2
Answer:
[tex]\sf 2g(2g ^2-3+10g)[/tex]Step-by-step explanation:
[tex]\sf 4g^3-6g+20g^2[/tex]
GFC: 2g
We'll Write the GCF first, then, divide each term by the GCF.
[tex]\sf 2g(\frac{4g^3}{2g}-\frac{6g}{2g} +\frac{20^2}{2g} )[/tex]
[tex]\sf 2g(2g ^2-3+10g)[/tex]
3x + y =4 in standard form
Answer:
3x+y=4
Explanation:
Standard form is Ax + By = C
Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure? 0. 2 0. 5 0. 7 1. 0.
The probability of a failure is 0.5
Probability is the likelihood or chance that an event will occur.Probability = Expected outcome/Total outcomeSince Janie flips a coin 70 times, then the total outcome is 70
The probability of getting a failure will be 50% of the total times;
Expected outcome = 50% of 70
Expected outcome = 35
Pr(a failure) = 35/70
Pr(a failure) = 0.5
Hence the probability of a failure is 0.5
Learn more on probability here: https://brainly.com/question/22664861
1 1/5+3 2/5 as a fraction
Answer:
23/54 3/5Step-by-step explanation:
1 1/5 + 3 2/5=> 6/5 + 17/5=> 23/5Conclusion:
Therefore, the answer is:
23/54 3/5Hoped this helped.
[tex]GeniusUser[/tex]
The sum of the fraction [tex]1\frac{1}{5} and 3\frac{2}{5}[/tex] is 6/5 + 17/5 which is equal to [tex]4\frac{3}{5}[/tex].
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, are the sum of two fractions [tex]1\frac{1}{5} and 3\frac{2}{5}[/tex] which is,
= 6/5 + 17/5.
= (6 + 17)/5.
= 23/5.
= [tex]4\frac{3}{5}[/tex].
learn more about fractions here :
https://brainly.com/question/10354322
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A bookshelf has 7 shelves, each measuring 4 feet 3 inches in length.
The average width of a book is 3/4 inch. How many books will the
shelves hold?
. Mahesh worked in a firm for a certain number of years which equals
the sum of degrees of + − +
and
+
+ . Find the number of years he worked.
The sum of numbers or expression involves adding the expressions and the numbers together.
Assume that the sum of the degrees is given as:
[tex]Sum = 3 + 4 - 2 + 1[/tex]
The above sum can be rewritten as:
[tex]Sum = 3 + 4 +(- 2) + 1[/tex]
Take the sum of all the numbers (including -2 in bracket)
[tex]Sum = 6[/tex]
If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6
Read more about sum at:
https://brainly.com/question/11562149
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
the total surface area of a cube is 384cm3 the length of the edge of the cube is?
Solving for a
[tex]a = \sqrt{ \frac{A}{6} } \\ = \sqrt{ \frac{384}{6} } \\ = 8cm[/tex]Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars? a. $8,500 b. $87,800 c. $83,700 d. $103,800.
The profit to be made when she sells the house is $103,800.
The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:
FV = P (1 + r)^n FV = Future value P = Present value R = interest rate N = number of years$184,000 x (1.035)^13 = $287,767.92
Profit = value of the house in 13 years - cost of the house
$287,767.92 - $184,000 = 103,767 = $103,800
To learn more about future value, please check: https://brainly.com/question/18760477