Answer:
79.2Step-by-step explanation:
QA = QC = 5.9 ⇒ PA = 27.4 - 5.9 = 21.5
PB = PA = 21.5
CR = BR = 12.2
So, the perimeter:
P = 27.4 + 5.9 + 2×12.2 + 21.5 = 79.2
The perimeter of the triangle PQR is 79.2 units.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a triangle PQR.
An incircle is drawn inside the triangle.
We know that the length of the tangents which are drawn from an exterior point to the circle are equal.
Using this property and the given lengths,
PQ = 27.4
PR = (27.4 - 5.9) + 12.2 = 33.7
QR = 5.9 + 12.2 = 18.1
Perimeter of the triangle = 27.4 + 33.7 + 18.1 = 79.2 units
Hence the perimeter is 79.2 units.
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14. The current of a river is given by the
vector (4, 2). Find the direction of the
vector to the nearest degree.
please helpppp
Answer:
27 Degree
Step-by-step explanation:
First Draw the graph (If you want)
Tan is what we have to use because TAN = Opposite / Adjacent
TanA=2/4
TanA=1/2
TanA=0.5
Tan^-1 x (0.5)
<A= 26.565...
ROUND TO THE NEAREST DEGREE = 27 Degrees
An empty bucket weighs 800g.
The weight of the bucket increases to 3.3kg when filled with water.
Calculate the percentage increase in the weight of the bucket.
Answer:
312.5%
Step-by-step explanation:
Convert 3.3kg to grams by multiplying by 1000
3.3×1000=3300g
%increase =Increase ÷Original ×100%
Increase=3300g -800g=2500g
2500÷800×100
=312.5%
The percentage increase in the weight of the bucket due to filling of water into it is 312.5.%
What is a percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. It can be calculated by using the formula:
Percentage=number*100/total number
How to calculate percentage?
We have been given that the weight of empty bucket is 800g and the weight of the bucket increases to 3.3 kg when filled with water.
We will first convert 3.3kg to g which will be 3300g
The percentage increase in the weight of the bucket
=(3300-800)*100/800
=250000/800
=2500/8
=312.5%
Hence the percentage increase in the weight of the bucket is 312.5%.
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2
Beth performed an experiment in which she randomly drew one napkin at a time from a drawer, with replacement. The drawer contained one napkin each of gray, cyan, beige, lilac, and crimson colors. The results of her experiment are shown below.
Napkin Color Times Drawn
gray: 6
cyan: 17
beige: 10
lilac: 2
crimson: 19
Based on the experiment above, predict the number of times a crimson napkin would be drawn if she performs the experiment a total of 162 times.
A. 56
B. 57
C. 59
D. 58
Answer:
51
Step-by-step explanation:
I WILL DIE IF NO ONE HELP ME PLEASE HELP IM SOOOO SADDDD!!!!in the opposite figure the unit of length is the centimeter
(the points O K and P are collinear )
(the points O B and A are collinear)
(KB) and (PA) are parallel
OK=X,OP=Y
KB=5
KP=6
and PA=8
CALCULATE THE LENGTH OP
Answer:
OP = 16Step-by-step explanation:
Parallel lines cut the transversals into proportional segments.ΔAPO ~ ΔBKO by SASRatio of corresponding sides are same in similar figures:
(x + 6)/x = 8/58x = 5(x + 6)8x = 5x + 303x = 30x = 10Find OP:
OP = x + 6 = 10 + 6 = 16A parallelogram has one angle that measures 5°. What are the measures of the other three angles in the parallelogram?
Step-by-step explanation:
hope this help the other angles are 5 degrees, 175degrees and 175 degrees
Answer:
jwbeeivrievtidtvidvtirvtjrvtitthtirht
What is v68 in simplest radical form? Enter your answer in the box.
Answer:
The square root of 68 is 2 √ 17 in the simplest radical form.
Step-by-step explanation:
It cannot be simplified further. √ 17 is an irrational number, therefore, the square root of 68 is an irrational number.
8 elephants plus 4 elephants equal
Giving brainlist to whoever answers
Answer:
240 in^3
Step-by-step explanation:
1) remember that a laundry detergent box has a shape of a rectangle parallelepiped
2) find the volume with this formula:
V = base x width x height
V = 12 x 8 x 2.5 = 240 in^3
It costs $32 for 4 pounds of steak. How much would it cost for a half pound of steak?
Answer:
$4
Step-by-step explanation:
32/4 = $8 per pound
so 1/2 pound = 1/2 x 8 = $4
25 7/5 tons = ib ......
Answer:
c. 51,400
Step-by-step explanation:
25 x 2,000=50,000
2,000 x .7= 1,400
50,000+1,400=51,400
Answer:
c
Step-by-step explanation:
On a recent survey, 60% of those surveyed indicated that they preferred walking to running.
If 540 people were surveyed, how many preferred walking to running?
*Remember: change your % to a decimal and multiply by the other number
A 480 people
B 425 people
C 324 people
D) 32 people
Answer:
324 people, C
Step-by-step explanation:
You first make 60 percent a decimal by moving the deciaml point up two digits, which makjes the number .60. Then, multiply 540 x .60 which gets your 324.
Magda and Nicholas each purchase almonds and cashews for their trail mix recipes as shown. What is the cost per pound of almonds and cashews?
Answer:almonds: 10.20
Cashews :12:40
Step-by-step explanation:
The cost per pound of almonds and cashews are 10.20 and 12:40, respectively
How to determune the unit costs of almonds and cashews?From the complete question, we have the following equations
6a + c = 73.6
4a + 3c = 78
Make c the subject in 6a + c = 73.6
c = 73.6 - 6a
Substitute c = 73.6 - 6a in 4a + 3c = 78
4a + 3(73.6 - 6a) = 78
Open the bracket
4a + 220.8 - 18a = 78
Evaluate the like terms
14a = 142.8
Divide by 14
a = 10.20
Substitute a = 10.20 in c = 73.6 - 6a
c = 73.6 - 6 * 10.2
Evaluate
c = 12.4
Hence, the cost per pound of almonds and cashews are 10.20 and 12:40, respectively
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NO LINKS OR I WILL REPORT but helppp plsss A triangle has two sides of length 3 and 3. What value could the length of the
third side be? Check all that apply.
========================================================
Explanation:
We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:
b-a < c < b+a
3-3 < c < 3+3
0 < c < 6
The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.
Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.
The time it takes to travel to a destination varies inversely with the average speed. It takes two hours when the average speed is 40mph. If the average speed changes to 80mph, what is the new travel time?
Answer:
4 hours
Step-by-step explanation:
is 40 is two hours then 80 must be 4 hours
Is (x+4)^2equivalent to 2x^2+8x+8
Answer:
[tex](x+4)^{2} = x^{2}+8x+16[/tex]
Step-by-step explanation:
GIVING BRAINLEST AND THANK YOU AND FIVE STARS IF CORRECT, ANY FILE LINK IS INSTANT REPORT
Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. This would be a dependent event. True or False?
Answer:
true
Step-by-step explanation:
Answer:
The answer is yes.
Step-by-step explanation:
This is dependent because whichever color marble she picks out, is dependent on how many marbles of that color are in the bag. For example, since their are 25 blue marbles, there is a higher probability that she will pick a blue marble that any of the other colors.
Use Synthetic substitution to find f(3) and f(-4) for f(x)=x^4-8x-11
f(3)=
f(-4)=
please give working for better understanding
Answer:
46 and 277
Step-by-step explanation:
Given
f(x) = [tex]x^{4}[/tex] - 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) = [tex]3^{4}[/tex] - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) = [tex](-4)^{4}[/tex] - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277
22. Write a polynomial in simplest form
to express the shaded area in terms of .
9x2
7x
Answer:
The area of the shaded portion is;
A= π (81x^4 - 49x^2)
Step-by-step explanation:
Looking at the given figure, the area of the shaded part is simply the area of the bigger circle minus the area of the smaller circle
The bigger circle has a radius of 9x^2
The smaller circle has a radius of 7x
The radius is the distance from the center to any part of the circumference
The area of a circle can be calculated using the formula;
A = pi * r^2
For the bigger circle, we have;
A = pi * (9x^2)^2
A = pi * 81x^4
for the smaller circle, we have;
A = pi * (7x)^2
A = pi * 49x^2
So the area of the shaded portion will be;
A= π (81x^4 - 49x^2)
Can you help me please? I'll mark brainiest
Answer: I’m pretty sure the answer is d
Step-by-step explanation:
Glenda paid $23 for 6 books.What is the rate that Glenda paid for each book?
Answer:
$[tex]3.83[/tex]
Step-by-step explanation:
[tex]23[/tex] divided by [tex]6=3.83333333333.....[/tex]
We round to nearest cent. [tex]3.83[/tex]
Genuinely confused please help
A business has a profit of $32,000 in 1990 that increased by 15.5% each year. Find the profit of the company after 3 years.
Please help as I have no clue how you can't get a whole number
Answer: $49,305.56
Step-by-step explanation:
A(t)=a(1+r)^t (its subtraction if the thing decreases)
A(t)=amount after t time periods
t=number of time periods
a=initial amount
r=rate of growth (can’t be a percent, change by moving two decimal places)
A(t)=32000(1+0.155)^3
Evaluate each expression: 2^5
Answer:
2^5 = 32
Step-by-step explanation:
2^5 is the same as 2⋅2⋅2⋅2⋅2, which equals to 32.
Answer:
32
Step-by-step explanation:
2^5 = 32
A construction worker drops a wrench from a height of 484 feel the function
h =
16x
+ 484 gives the height h of the wrench after a seconds When does the wrench hit the ground?
The wrench hits the ground blank
seconds after it is dropped
Answer:
30.25 seconds
Step-by-step explanation:
If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.
Solve 2x2 - 6x = -8.
Answer:
x=2
Step-by-step explanation:
HELPPP ME PLEASEeeeeee
Answer:
4.116 × 10^8 = 411,600,000
Step-by-step explanation:
i just put it in the calculator dont get mad at me
What is the equation of the line that passes through (4, 3) and (-4, -1)?
y = 2 x + 7
y = + 1
2 x + 1
y = + 7
Answer:
Step-by-step explanation:
First find the slope of the line
(4 , 3) ; x₁ = 4 ; y₁ = 3
(-4,-1) ; x₂ = -4 ; y₂ = -1
slope [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]=\frac{-1-3}{-4-4}\\\\=\frac{-4}{-8}\\\\=\frac{1}{2}[/tex]
m = 1/2 , and take any one point (4 , 3)
y -y1 = m(x - x1)
[tex]y - 3 = \frac{1}{2}(x - 4)\\\\y -3 = \frac{1}{2}x-4*\frac{1}{2}\\\\y - 3 =\frac{1}{2}x - 2\\\\y = \frac{1}{2}x - 2 + 3\\\\y =\frac{1}{2}x + 1[/tex]
Please help me ASAP!!!!
Answer:
<
Step-by-step explanation:
The answer to the question is x < y
Looking at the diagram again, we see that the sides opposite both x and y are equal. And since they both share a line together, this means that two sides are equal in both triangles. Isosceles is the name of the triangle with two sides equal. Since both triangles have two sides equal, this means that x and y are the only sides that are not equal.
Again, looking at the diagram, we are given an angle to be 95°. Which means that, if the triangle of y has an angle of 95, then the corresponding angle in x will be less than 95. This fact also makes x as a side, to be less than y.
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In the center of town, there is a square park with side length of 30 ft. If a person walks from
one corner of the park to the opposite corner, how far does the person walk? Round to the
nearest foot
021A
042 ft
O 52 ft
O 60 ft
The answer to this is 42ft.
The answers to the complete quick check is
1. d 14
2. a 30, 60, 90
3. b 22 sqrt 2
4. b 42 ft
5. c 30 sqrt 3
Is 40/1000 and 40% an equivalent pair
Answer:
No
Step-by-step explanation:
40/1000 is 4%
Answer:
no, it would be equivalent if it was 4%
Step-by-step explanation:
solve for s
8+10s=-2+9