The unknown sides of the right angle triangle using trigonometric ratios are as follows;
PR = 13.2 units
RQ = 17.6 units
What is a right angle triangle?
A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sides of the triangle can be found using trigonometric ratios.
Therefore,
sin 37° = opposite / hypotenuse
sin 37° = PR / 22
cross multiply
PR = 22 sin 37
PR = 22 × 0.60181502315
PR = 13.2399305093
PR = 13.2 units
cos 37 = adjacent / hypotenuse
cos 37 = RQ / 22
RQ = 22 cos 37
RQ = 17.569981221
RQ = 17.6 units
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Which of the following terms appear in the expansion of (x + y) 10? The letter a
in each term represents a real constant
A. axbys
B. ays
c. axy
D. axs
Please help!! This is 30 points, I will mark brainiest if to the first person if two people answer.
The experimental (aka empirical) probability for your friend is 1/500 = 0.002 since she hit the bulls eye once out of 500 tries. This is a 0.2% chance.
To calculate the theoretical probability, we have to determine the area of each circle:
A = smaller circle area = pi*r^2 = pi*(0.25)^2 = 0.0625pi
B = larger circle area = pi*r^2 = pi*6^2 = 36pi
Divide A and B to get the theoretical probability
A/B = (0.0625pi)/(36pi) = 1/576 = 0.0017 approximately
This is fairly close to the 1/500 = 0.002 your friend got, which in my opinion means that her result is expected. She does seem a bit more skilled than expected since she managed to hit the bulls eye in 76 fewer tries (576-500 = 76). However, I would stick to the "result is expected" answer, since problems like this tend to have variability.
PLS ANSWER BOTH QUESTIONS
EXPLANATION NOT NEEDED
MAKE SURE IT IS CORRECT
WILL MARK BRAINLIEST
Answer:
what is actually the question please
pls hep me look at the photo
Answer:
B
Step-by-step explanation:
It matches 3 of the 4 rows.
Solve this equation what is 5/6+4/6=
Answer:
[tex]1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6} + \frac{4}{6} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}[/tex]
Evaluate the expression: -125 + 13 − 11 127 -90 123 -123
Answer:
-101485
Step-by-step explanation:
it seems like your question is incomplete, you dont have all the signs. this is the answer i got
An elevator goes up in a multi storey building at the rate of 6 m/min. If it starts from 20 m below the ground level, how long will it take to reach 320 m ?
Answer:
56 minute 40 seconds
Explanation:
unit rate: 6 meters per minute
The elevator starts from 20 m below ground level.
So, in total have to cover distance = 20 + 320 = 340 meter
Time taken = distance/speed
= 340/6
= 56.67 minute
≈ 56 minute 40 seconds
what is 3 x 5 what does it equal
Answer:
3 x 5= 15
Step-by-step explanation:
If you count by 5's like 5, 10, 15, 20
And if you count by 3's: 3, 6, 9, 12, 15
then find the least common multiple and it is 15
Please mark me as the Branlyest ;) Thanks
Answer:
3 x 5 = 15
Step-by-step explanation:
3 + 3 + 3 + 3 + 3 = 15
I hope this helps!
A 4-Pack of coffee drinks is $6.90.what is the cost per bottle.
Answer:
$ 1.725
Step-by-step explanation:
4 Pack of coffee = $ 6.90
1 Pack of coffee = $ 6.90 / 4 = $ 1.725
( The word per means " 1 " )
Answer:
$1.73
Step-by-step explanation:
To get the price of one bottle, set up a proportion.
let x = the price of one bottle
the numerator will be the price of the bottles and the denominator will be the number of bottles.
6.90 / 4 = x / 1
cross multiply: 6.90 = 4x
solve for x by dividing by 4 on both sides
6.90/4 = 4x / 4
x = 1.725, round up to $1.73
Find 1/7 of 14. A.3 B.5 C.6 D.2
Answer:
So we just multiply the two numbers together and we get [tex]\frac{14}{7}[/tex] and if we simplify this even more we just get down to 2 which is our final answer. That would best match with Option D, 2
Hope this helps! Let me know if you have any questions
Answer:
2 the answer is and always will be 2
Step-by-step explanation:
just know it
Investment: $200
Simple Interest Rate 2%
Function:
Sketch:
Please help me and I’ll give you brainlist
Name the
solid figure
Answer:
That is a rectangular prism
Step-by-step explanation:
Because I'm smart
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
This pattern follows the rule add 7, then subtract 3. What are the next two numbers?
19, 23, 27, ________, ________
Group of answer choices
31, 35
31, 38
34, 35
31 and 35.
Sure hope this helps you
I got the first part correct but the rest just confuses me
Help me on this ,appreciate it.
Answer:
I would say that the travling time is 3.5 hours and the Stationary time would be 2.5 hours.
Step-by-step explanation:
I'm sorry if I'm worng, (Can I get brainliest??)
ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answer:
24416.64 cubic centimeters
Step-by-step explanation:
The equation for the volume of a sphere is [tex]V=4/3\pi r^3[/tex]. The radius given is 18cm and we are instructed to use 3.14 instead of pi, so our equation will be [tex]V=4/3(3.14)(18^3)[/tex]. Once this is multiplied out, we see that the volume of the sphere is 24416.64 cubic centimeters.
Hope this helps! :)
Find y=f(x) if f '(x)=6x-2, f'0)=3, f(0)=7.
=
Answer:
f(7)=40
f(3)=16
Step-by-step explanation:
f(0)=6(7)-2
y=42-2
y=40
f(0)=6(3)-2
y=18-2
y=16
What quadrant does the terminal side of this angle lie in?
A) Quadrant ll
B) Quadrant IV
C) Quadrant l
D) Quadrant III
Answer:
D. quadrant III
Step-by-step explanation:
100 points!!! need it now!!! A stainless steel patio heater is a square pyramid. The length of one side of the base is 20.8 in. The slant height of the pyramid is 88.5 in. What is the height of the pyramid?
Answer:
89.3 but im not 100% sure Hope this helps!!
Step-by-step explanation:
Answer:
the height forms a right triangle with the slant height as the hypotenuse and half of the base diagonal as the other leg
(height)^2 = (slant height)^2 - (half of base diagonal)^2
h^2 = 83.3^2 - (10.8 √2)^2
I think so, I hope it helps :)
Which inequality is equivalent to 5(2x-6)+6(3-x)<2x+4
Answer: [tex]x < 8\\[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Interval Notation: (-∞, 8)
The equivalent inequality to 5(2x-6)+6(3-x)<2x+4 is x < 8.
Let's simplify the given inequality step by step:
Original inequality: 5(2x - 6) + 6(3 - x) < 2x + 4
Distribute the constants inside the parentheses:
10x - 30 + 18 - 6x < 2x + 4
Combine like terms on the left side:
(10x - 6x) - 30 + 18 < 2x + 4
4x - 12 < 2x + 4
Subtract 2x from both sides to isolate the x terms on the left side:
4x - 2x - 12 < 4
Simplify:
2x - 12 < 4
Now, add 12 to both sides:
2x - 12 + 12 < 4 + 12
2x < 16
Finally, divide both sides by 2:
2x / 2 < 16 / 2
x < 8
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Which of the following is a disadvantage of renewable energy?
A. It creates large amounts of pollution
B. It could be costly to initially switch to.
C. It will not produce enough power to sustain us.
D. It will not run out.
B. It could be costly to initially switch to.
A disadvantage of renewable energy would be It could be costly to initially switch to. Hence option B is true.
Used the definition of renewable energy that states,
Renewable energy is energy that comes from a source that won't run out. They are natural and self-replenishing and usually have a low- or zero-carbon footprint.
Now, Renewable energy sources have numerous advantages, such as being environmentally friendly and sustainable, one of the disadvantages is the initial high cost of transitioning from traditional energy sources to renewable ones.
Since renewable energy sources do not create large amounts of pollution.
Additionally, renewable energy has the potential to produce ample power to meet our needs.
Finally, the fact that renewable energy will not run out is actually an advantage, not a disadvantage.
Hence, Option B is true.
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1.
Joshua and Helen are painting sections of their house this weekend. It will take
3 7/9 gallons to paint the room upstairs. The downstairs room will need 5 1/3 gallons
of paint. If they buy 10 gallons of paint, how much will be left over?
Answer:
8/9 will be left over
Step-by-step explanation:
3 7/9 + 5 1/3= 9 1/9
Now subtract the amount of paint needed by how much paint there is:
10- 9 1/9= 8/9
Therefore, 8/9 will be left over
Hope this helps
3. The perimeter of a rectangle is 24 cm. One side is 7 cm.
Work out the length of the other sides,
7 cm
cm
cm
Not drawn
to scale
ст
Answer:
L=5cm
Step-by-step explanation:
[tex]p = 2(l + w) \\ 24 = 2(l + 7) \\ l + 7 = 12 \\ l = 5cm[/tex]
A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job. The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours. How many hours would it take cach printer to print all of the pamphlets by itself a . Use the table to set up a rational equation to describe the situation. Use the variable x to represent the time it takes the newest printer to complete the job .
If both printers work together. Then the number of the pamphlets will be 20x in four hours.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.
The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.
Let x be the number of the pamphlets are printed by the old printer in one hour.
Then the number of the pamphlets are printed by the new printer in one hour will be 4x.
Then if they work together, then the number of the pamphlets in one hour will be 5x.
Then the number of the pamphlets in 4 hour will be
→ 5x × 4
→ 20x
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The relationship between
A:All of these
B:Adjacent
C:Linear Pair
D:None of these
E:Supplementary
Answer:
I think you are intended to pick A as your answer. But D is a thorn. The question especially D is not worded accurately.
Step-by-step explanation:
Remark
I take it that you are asked what the relationship between a and b is. What you can say is that a and b are a linear pair if a and be have 1 leg on a ray. I will treat it that way, but you should always question whether that is true or not.
Solution
Adjacent Math meaning: Each angle has a common side and a common point where they meet. A and B are adjacent: True.
Linear Pair. True A and B are adjacent angles and they are also supplementary. So C and E are both true.
That makes D incorrect.
Can someone help me with this?
Answer:
[tex]\huge\purple{ x^2 +(y+2)^2 = 4}[/tex]
Step-by-step explanation:
Circle is centred at (0, -2)
-> h = 0 & k = - 2
radius of the circle (r) = y-coordinate of the center = - 2
Equation of circle in standard form is given as:
[tex](x-h)^2 +(y-k)^2 = r^2[/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex](x-0)^2 +[y-(-2)]^2 = (-2)^2[/tex]
[tex]\implies\huge\orange{ x^2 +(y+2)^2 = 4}[/tex]
This is the required equation of circle.
C. Brian saves some money from his allowance to buy Mother a gift. His daily allowance is P50.00
MONEY SAVED BY BRIAN FROM HIS ALLOWANCE
Friday Php 18.90
Thursday Php 23.15
Wednesday Php 11.80
Tuesday Php 16.35
Monday Php 9.20
1. On what day did Brian save more out of his allowance? How much was his expenses that day?
2. On what day did he save the least? How much did he spend that day?
3. How much is Brian's total savings for one week? If he saved the same amount of money for the succeeding weeks, how much savings does he have in a month?
4. How much more money does he need to save to buy the gift bag for his mother which costs P693.80?
Answer:
1.thursday
his expenses was p26.85
2.monday he spent p40.8
3.18.90+23.15+11.80+16.35+9.20=approximately p55.6×30 days=p1,668
4.693.80-1,668
so he savings is completely enough
Can someone plot this for me please.
Represent the sum of the complex numbers –4 + 3i and — 2 — on the complex plane.
Use the Point and Segment tools to plot all required points and segments.
The sum of -4 + 3i and -2 - i implies that we plot -6 on the real side, and 2i on the imaginary side of the complex plane
How to plot the points?The complex numbers are given as:
-4 + 3i and -2 - i
The sum of these numbers is represented as:
Sum = -4 + 3i -2 - i
Collect the like terms
Sum = -4 -2 + 3i - i
Evaluate the like terms
Sum = -6 + 2i
The above means that we plot -6 on the real side, and 2i on the imaginary side of the complex plane
See attachment for the graph of the sum
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Three forces, (15i+j) N, 5qi – pj) N and (-3pi - gj) N, where p and q are
constants, act on a particle.
Given that the particle is in equilibrium, find the value of p and the value of q.
Given that the particle is in equilibrium, the value of p = 2.5 and the value of q = -1.5
To answer the question, we need to know what force are
What is a force?A force that thing which cause a change in motion of an object
Since there are three forces (15i + j) N, (5qi – pj) N and (-3pi - qj) N, where p and q are constants, act on a particle. Given that the particle is in equilibrium, the resultant force on the particle is zero.
What is a resultant force?A resultant force is a vector sum of two or more forces
So, (15i + j) N + (5qi – pj) N + (-3pi - qj) N = 0i + 0j
15i + 5qi - 3pi + j - pj - qj = 0i + 0j
(15 + 5q - 3p)i + (1 - p - q)j = 0i + 0j
Equating components, we have
15 + 5q - 3p = 0 and 1 - p - q = 0
5q - 3p = -15 (1) and - p - q = -1
5q - 3p = -15 (1) and p + q = 1 (2)
From equation (2), p = 1 - q (3).
The value of q
Substituting p into (1), we have
5q - 3p = -15 (1)
5q - 3(1 - q) = -15
5q - 3 + 3q = -15
5q + 3q = -15 + 3
8q = -12
q = -12/8
q = -3/2
q = - 1.5
The value of p
Substituing q into (3), we have
p = 1 - q
p = 1 - (-3/2)
p = 1 + 3/2
p = (2 + 3)/2
p = 5/2
p = 2.5
So, the value of p = 2.5 and the value of q = -1.5
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