Answers
Answer:
C
Step-by-step explanation:
o find the side PQ ; we need to first find the length of the given line segment which is perpendicular to side PR; let name it as QS.
Now as ΔQSR is an right angled triangle.
and the length of the side QR and SR is given , so using Pythagorean theorem we have
QR^{2}=SR^{2}+QS^{2}
5^{2}=3^{2}+QS^{2}\\ \\QS^{2}=5^{2}-3^{2}\\\\QS^{2}=25-3=16=4^2
⇒ QS=4
Now again ΔQSP is an right angled triangle; so using Pythagorean theorem in ΔQSP we have
PQ^{2}=QS^{2}+PS^{2}\\ \\PQ^{2}=4^{2}+6^{2}=16+36=52
This means QS=\sqrt{52}=2\sqrt{13}
Hence, the length of side PQ is \sqrt{52}=2\sqrt{13}.
Hence, option C is correct.
plz mark brainliest
Answer:
C
Step-by-step explanation:
I just got it right
Related Questions
What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?
Answers
Answer:
m ≠1 ( all m in R except 1 )
Step-by-step explanation:
hello :
mx − y + 3 = 0.....(*)
(2m − 1)x − y + 4 = 0 ....(**)
multiply (*) by : -1 you have : -mx+y-3=0 ....(***)
(2m − 1)x − y + 4 = 0 ....(**)
add(***) and(**) : -mx+ (2m − 1)x+1 =0
(2m-m-1)x+1=0
(m-1)x = -1
this system have no solution if : m-1≠0 means : m ≠1
Ten less than 40% of a number is -4. Please just write out equation >~
Answers
Answer:
Number is "n"
(.40 * n) -10 = -4
Step-by-step explanation:
The phrase 'ten less than 40% of a number is -4' can be translated into a mathematical equation as 0.4x - 10 = -4. By using the rules of algebra, we can simplify this equation to find that the unknown number x equals 15.
Explanation:The question deals with an equation involving the term 'ten less than 40% of a number'. This phrase can be translated into a mathematical equation as follows: 0.4x - 10 = -4, where x is the unknown number we're trying to find.
Following the rules of algebra, you would want to simplify this equation as much as possible. Let's add 10 to both sides of the equation, which gives us 0.4x = 6. To isolate 'x', we divide both sides of the equation by 0.4, which gives us x = 6 / 0.4. When you perform this division, you find that x = 15.
Thus, the number that 'ten less than 40% of' equals -4 is 15.
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The sum of two numbers is 98. One number is 76 less than the other.
Answers
Answer:
Step-by-step explanation:
1. n + y = 98
2. n = 76 - t
Answer:
11 and 87
Step-by-step explanation:
Let's create an equation to solve this. (I know that it is just subtraction, but equations are great ways to understand concepts.)
We can represent each number as "n"
In that case, we have:
n + (n - 76) = 98
Grouping n's:
2n - 76 = 98.
Adding 76 to both sides:
2n = 174
Dividing by 2:
87.
Plug-and-chug:
87 + (87 - 76) = 98
Thus, our final answer is that one number is 11, the other 87.
Write this equation in slope intercept form 3x+2y=4
Answers
To write the equation 3x + 2y = 4 in slope-intercept form, subtract 3x from both sides, then divide each term by 2. The slope-intercept form of the equation is y = (-3/2)x + 2.
Explanation:
To write the equation 3x + 2y = 4 in slope-intercept form, we need to isolate y on one side of the equation.
Step 1: Subtract 3x from both sides to get 2y = -3x + 4.
Step 2: Divide each term by 2 to get y = (-3/2)x + 2.
Therefore, the equation 3x + 2y = 4 in slope-intercept form is y = (-3/2)x + 2.
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Answer:
Step-by-step explanation:
HELP ASAP PLEASEEEE
im kinda begging
Answers
Answer:
x = -1
-1 + 6 = 5
Since its a negative, you're actually subtracting it from 6.
The flying squirrel of eastern Texas can drop a height of 60 feet. A function that approximates this drop is h=-16t^2+60, where h is the height in feet and t is the time in seconds. About how many seconds does it take for the squirrel to drop 60 feet?
Answers
Answer:
About 1.94 seconds
Step-by-step explanation:
The quadratic equation gives the height of the squirrel from its starting position, which is 60 feet above ground.
The equation is:
[tex]h=-16t^2+60[/tex]
To find time it takes to "drop" 60 feet, means the ground level, where height is equal to 0.
Or, h = 0
We substitute h = 0 into the equation and solve for t:
[tex]h=-16t^2+60\\0=-16t^2+60\\16t^2=60\\t^2=3.75\\t=\sqrt{3.75}\\t=1.94[/tex]
So, it takes the squirrel about 1.94 seconds to drop 60 feet
It takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.
Step 1
Given the equation [tex]\( h = -16t^2 + 60 \)[/tex] where h is the height in feet and t is the time in seconds.
To find the time it takes for the squirrel to drop 60 feet (reaching the ground), we set [tex]\( h = 0 \)[/tex] and solve for t :
[tex]\[ -16t^2 + 60 = 0 \][/tex]
Add [tex]\( 16t^2 \)[/tex] to both sides:
[tex]\[ 16t^2 = 60 \][/tex]
Step 2
Divide both sides by 16:
[tex]\[ t^2 = \frac{60}{16} \]\[ t^2 = 3.75 \][/tex]
Take the square root of both sides:
[tex]\[ t = \sqrt{3.75} \]\[ t \approx 1.94 \][/tex]
So, it takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.
Geometry end of year review escape room: room H
Answers
Answer:
1) D
2) A
3) C
4) B
5) B
6) C
Step-by-step explanation:
1) V = Bh
V = πr² (h)
V = π (7²)(5)
V = 49π (5)
V = 245π
V ≈ 769.3
2) V = 1/3 Bh
V = 1/3 (12*12)(9)
V = 1/3 (144)(9)
V = 1/3 (1296)
V = 432
3) V = 4/3πr³
V = 4/3 π (4.5³)
V = 4/3 π (91.125)
V = 121.5π
V ≈ 381.51
4) 3 pairs of rectangles
2(16)(5) = 2(80) = 160
2(16)(11) = 2(176) = 352
2(11)(5) = 2(55) = 110
Add together 160 + 352 + 110
622
5) Two triangles 3 rectangles
Triangle
2(1/2)(18)(5) = 18*5 = 90
Rectangles
18*7 = 126
5*7 = 35
18.7*7 = 130.9
Add together 90 + 126 + 35 + 130.9 = 381.9
C) SA = πr² + πrl --> l is the slant height
SA = π (8²) + π (8)(17)
SA = 64π + 136π
SA = 200π
SA ≈ 628
DACBBC
Starting with 60, divide by 5 --> 12
add by 13 --> 25
multiply by 3 --> 75
subtract by 11 --> 64
cube root 64 --> 4
Multiply 60 --> 240
CODE: 240
The amount of three-dimensional space enclosed by a closed surface is known as volume. The code is 240.
What is volume?The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.
1. The volume of a cylinder with a radius of 7 ft and a height of 5 ft is,
[tex]\rm \text{Volume of Cylinder} = \pi r^2 h = \pi \times 49 \times 5=769.7\ ft^3[/tex]
2. The Volume of the Pyramid with a side 12m, while the height is 9m is,
[tex]\rm \text{Volume of Pyramid} = \dfrac13 \times (\text{Area of square}) \times height = \dfrac13 \times 12^2 \times 9 = 432\ m^3[/tex]
3. The volume of the sphere with a diameter of 9 yds, can be written as,
[tex]\rm \text{Volume of sphere}=\dfrac{4}{3} \pi r^3=\dfrac43 \times \pi \times (\dfrac{9}{2})^3=381.7\ yd^3[/tex]
4. The surface area of the cuboid with a length of 16 cm, width of 5 cm, and height of 11 cm can be written as,
[tex]\rm \text{Surface area of Cuboid} = 2[(L\times W)+(W\times H)+(L\times H)][/tex]
[tex]\rm \text{Surface area of Cuboid} = 2[(16\times 5)+(5\times 11)+(16\times 11)] = 622\ cm^2[/tex]
5. The surface area of the given figure can be written as,
Surface Area of figure = 2(Area of the triangle) + Area of slant side + Area of rectangle + Area of base
[tex]\rm \text{Surface Area of figure} = (\dfrac{2 \times 5 \times 18}{2}) + (18.7 \times 7)+(18 \times 7) + (5 \times 7) = 381.9\ in^2[/tex]
6. The surface area of a cone is given as,
[tex]\text{Surface Area of Cone}=\pi r(\sqrt{h^2+r^2})+\pi r^2[/tex]
The radius of the cylinder is 8 mm while the height is 15 mm, therefore, the surface area can be written as,
[tex]\rm\text{Surface Area of Cone}=\pi \times 8(\sqrt{15^2+8^2})+\pi \times 8^2 = 628.3\ mm^2[/tex]
Now, if we fill the results accordingly in fill in the blanks we will get,
Starting with 60, divide by 5
then add by 13
then multiply by 3
and subtract by 11
Now, cube root your result 64
Multiply the starting number60.
Thus, the code is 240.
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Simplify the following expression(1/5)(-5/7)(2/4)
Answers
Answer:
-1/14
Step-by-step explanation:
To simplify the expression, you should first divide up the parts to make it easier. Multiply 1/5 by -5/7 first. When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator. This leaves us with just -1/7.
[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]
Now, multiply -1/7 by 2/4. Notice that you can simplify 2/4 to 1/2. You can't cancel out anything in this expression so simply multiply the two fractions.
[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]
I moved the negative sign from the numerator out front, but you don't have to do that.
PLEASE HELP WITH THIS MATH PROBLEM
Answers
Answer:
3y - 10
———
2
Step-by-step explanation:
Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost
Answers
Answer:
48
Step-by-step explanation:
36 = 3/4x
Divide by three then multiply by four to get x instead of 3/4x
36/3 = 12 x 4 = 48
Answer:
$48
Step-by-step explanation:
She has saved 36 which is 3/4
3/4=36/x
36/3=12
12*4=48
What is the vertex of the quadratic function f(x) = (x – 3)(x - 2)?
Answers
Answer:
The vertex is: [tex](\frac{5}{2},-\frac{1}{4})[/tex]
Boxes of Candy (x)
Pieces of Candy )
10 150
9 135
2 30
6 90
3 45
Find the constant of proportionality for the table and write in the form Y=kx
A) y= 1/15x
B) y=10x
C) y = 15x
D) y = 150x
Answers
What is the solution for the equation
5/3b^3-2b^2-5=2/b^3-2?
b= -4 and b=0
b= -4
b= 0 and b=4
b= 4
Answers
Answer:
b=0.46005 approx
Step-by-step explanation:
ugh its to messy just solve it like a quadratic
Aimee has four 100-point projects for her class. Her scores
on the first three projects are shown below. What score
does she need on Project 4 so that her average score for
the four projects is 80?
Answers
She needs a 94.
72+ 75 + 79 + 94 = 320
320 ÷ 4 = 80
Answer:
94%
Step-by-step explanation:
Plot the given parabola on the axes. Plot the roots, the vertex and two other points.
y=−x2+2x+48
Answers
To plot the parabola y = -x² + 2x + 48, find the vertex at (1, 49), the roots at -6 and 8, and two additional points at (0, 48) and (2, 48). Then, plot these points on a graph and sketch the parabola.
Explanation:To plot the given parabola y = -x² + 2x + 48, we must follow several steps:
Find the vertex. The formula for the x-coordinate of the vertex is -b/2a. In this equation, a = -1 and b = 2, so the x-coordinate is -2/-2 = 1. Substituting x = 1 into the equation gives us y = -12 + 2 * 1 + 48 = 49. So, the vertex is (1, 49). Find the roots. The roots are the x-values when y = 0. We solve -x2 + 2x + 48 = 0. Factoring the quadratic can give us the roots, but this equation doesn't factor nicely. We use the quadratic formula instead: x = [-b ± sqrt(b2 - 4ac)] / 2a = [-2 ± sqrt((2)2 - 4*(-1)*48)] / 2*(-1). This gives us two roots, -6 and 8. Choose two other points. Let's choose x = 0 and x = 2. When x = 0, y = 48. When x = 2, y = -22 + 2 * 2 + 48 = 48. So, the two other points are (0, 48) and (2, 48). Plot these points on a coordinate grid and draw the parabola.Learn more about Plotting Parabola here:
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You found a pair of $35 shoes for 25% off! How much of a discount will be taken at the register?
Answers
Answer:
$8.75
Step-by-step explanation:
35 * .25 = $8.75
Please help this is my math homework
Answers
Answer:
Friend PLEASE UPLOAD THE PICTURE PROPERLY IT IS NOT READABLE
What is the relationship between a
square root, exponent, and a
logarithm?
Answers
If U = 3 inches, V = 5 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?
Answers
Answer:
46.5 inches
Step-by-step explanation:
if you plug all the numbers in and then change them into simple shapes, like a square, rectangle, and triangle, you can just add the areas to those shapes and add them together.
The area of the object is: 61.5 Sq.in
What is the Area of the Composite figure?
The formula for area of a rectangle is:
Area = Length * Width
Formula for the Area of a Trapezium is:
Area = ¹/₂ * (sum of parallel sides) * height
Area of composite figure is: (¹/₂ * (W + Y - U) * (V - X - Z)) + [(X - Z) * (Y - U)] + (Y * Z)
Area of composite figure is: (¹/₂ * (8 + 8 - 3) * (5 - (6 - 4)) + [(6 - 4) * (8 - 3)] + (8 * 4)
= 19.5 + 10 + 32
= 61.5 Sq.in
2. A student had taken six tests and received scores of 88, 73, 81, 83, 79, 94. The seventh test
was coming up and the student wants to know:
a. What was needed on the 7th test to have a mean score of 83. Find the 7th test score.
b. Find the median and mode using the 7th test score from part a.
Median
Mode:
Answers
Answer:
a) 83
b) mean and mode are both 83
Step-by-step explanation:
a) mean is the average. so add all the numbers and divide by the number of numbers.
88 + 73 + 81 + 83 + 79 + 94 + T = 83
7
b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94
mode - which number shows up most frequently?
0.076952 to 3 significant figure
Answers
Answer:0.0770
Step-by-step explanation:
0.076952 the five makes 9 round up.
Since you can't have ten the six increases by 1 so it is
0.077
Then you could add a zero on the end to 0.0770 so it is to 3 sig fig
Answer:
0.0770.
Step-by-step explanation:
That would be rounded to the next 3 digits after the second 0.
So it is 0.0770.
(The 7695 is rounded to 770 because the digit after the 9 is 5, so the 69 is rounded up to 70).
hello could any pls help this is due rnnn
please and thankk youuu
Answers
Answer:
Step-by-step explanation:
C is the answer plz mark as brainliest answer
The table below displays the purchases that Graphic DesignWorks made from
a manufacturer this year for hats. If Graphic DesignWorks uses LIFO, and it
has 100 hats left in its inventory, what is the value of its current stock?
Month of Number
Purchase of hats
June 50
July
75
August 100
September 75
Price
per hat
$12
$14
$10
$13
O A. $1225
O B. $1300
O c. $1200
O D. $1150
Answers
Answer:
B. $1300
Step-by-step explanation:
The 100 hats remaining in inventory are the first 100 hats purchased in the period, so are 50 hats purchased for $12 each in June, and 50 hats purchased for $14 each in July. The value of this inventory is ...
50($12) +50($14) = $600 +700 = $1300
Answer:
1225
Step-by-step explanation
I NEED HELP IMMEDIATELY!!! Allen has four times as many cards as Bob, and Jane has twice as many cards as Allen. Together, Allen and Jane have 468 cards. How many cards do Allen, Jane, and Bob each have?
Answers
Answer:
Allen- 144 cards
Jane- 288 cards
Bob- 36 cards
Step-by-step explanation:
Here's what we know:
a = 4b (Allen has 4 times Bob's cards)
j = 2a (Jane has twice Allen's)
a + j = 432 (Allen and Jane have 432 cards all together)
Start with substituting:
4b + 2a = 432
4b + 2(4b) = 432
Distribute:
4b + 8b = 432
Simplify:
12b = 432
Divide both sides by 12:
b = 36
To find how much Allen has just multiply 36 times 4.
a= 144 cards
To find how much Jane has multiply 144 times 2.
j= 288 cards
Answer:
156
312 and
39
Step-by-step explanation:
Let Allen be A , Jane be J and Bob be B
Allen has 4 times as Bob
So
A = 4B
Jane has twice as Allen
So
J = 2A
Together, Allen and Jane has 468 cards
A + J = 468
Substitute 2A for J in the third equation.
We have
A + J = 468
A + 2A = 468
3A = 468
Divide both sides by 3
3A/3 = 468/3
A = 156
Recall
A = 4B
Therefore
156 = 4B
Divide both sides by 4
156/4 = 4B/4
39 = B
B = 39
Also,
J = 2A
J =2 x 156
J = 312
Allen has 156 cards
Jane has 312 cards and
Bob has 39 cards
what is the first 4 digits of pi
Answers
Also written as 22/7 as a fraction
Hey!!!
Here's your answer:
Actually the value of pi is 22/7 and when we divide 22 by 7 ,it equals to 3.142857143.
So,the first 4 digits of pie is 3.142
There is one miracle about pi.
And that is
first digit of pie(3)
= The third month is march.
Albert Einstein was born in march14 and Stephen Hawking was dead in march 14.
Sorry,if u did not understand what I mean to say...
I am not good at giving explanations.....:(
Which of the following is equal to the expression 6(11 + 3)?
(A) 6x14
(B) 33+3
( 66+3
D
6(11x3)
Answers
Answer: A. 6x14
Step-by-step explanation:
6(11+3)
6x11 = 66
6x3= 18
66+18= 84
6x14= 84
Use distributive property: a(b + c) = ab + ac
Steps to solve:
6(11 + 3)
~Use distributive property
(6 * 11) + (6 * 3)
~Simplify
66 + 18
~Add
84
Lets check each option to see which one equals 84.
Option A:
6 * 14
84
We don't need to check anymore options since Option A is correct.
Best of Luck!
Lin wants to know how many games teenagers in the United States have on their phones.
What is the population for Lin's question?
Answers
The population for Lin's question is all teenagers in the United States who use smartphones. Selection bias and the method of surveying can cause data variations, and the sample size must be large enough and representative to obtain accurate findings.
Explanation:The population for Lin's question regarding how many games teenagers in the United States have on their phones is all teenagers in the United States who own and use smartphones. It is implied that Lin is interested in the averages or trends among this specific age group with regard to digital game ownership.
When considering data collection, several factors can cause variations in the results. For instance, adolescents' access to different technologies, social and economic factors, and varying interests can all influence the number of games they have on their phones. Additionally, methods of surveying can affect accuracy, such as if the respondents are primarily contacted by landline or mobile phone, reflecting different demographic characteristics. The trend towards mobile phone usage as opposed to landlines, selection bias, and the changing communication preferences of younger generations all emphasize the need for researchers to employ diverse methods in collecting data to ensure representativeness of the surveyed population. Moreover, the sample size and how well it represents the overall population is critical in obtaining reliable results.
The sufficiency of the sample size depends on the population being studied. If the sample consists solely of students from one school, it may not be representative of the wider population of teenagers in the United States. However, when the population is as large and diverse as school-aged children and young adults across the entire United States, a much larger and varied sample would be needed to appropriately reflect the population and offer meaningful conclusions.
Evaluate the expression c=-2.7
c+18 =?
Answers
Answer:
15.3
Step-by-step explanation:
-2.7+18=15.3
Answer:
Step-by-step explanation:
When c=-2.7, we substitute the value of c into the expression so we can add
c+18=-2.7+18=18-2.7=15.3
e^x=59 round to the nearest ten-thousandth
Answers
First you must ln both sides of the equation.
ln(e^x) = ln(59)
ln of e always cancels out, so you are just left with x
x = ln(59)
Put this in your calculator!
x = 4.0775 is your answer !
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. Create a system of equations that models how many of each type of ticket the business should purchase.
700x + 375y = 27
x + y = 15,000
x + 375y = 15,000
700x + y = 27
700x + y = 15,000
x + 375y = 27
700x + 375y = 15,000
x + y = 27
Answers
Answer:
Here is the correct system of equations:
700x + 375y = 15,000
x + y = 27
The system of equations that models how many of each type of ticket the business should purchase is 700x + 375y = 15,000; x + y = 27. option D
How to write system of equation?
Let
x = the number of business class.
y = the number of economy
x + y = 27 (1)
700x + 375y = 15000 (2)
Multiply (1) by 700
700(x + y) = 700(27)
700x + 700y = 18900 (3)
Subtract (2) from (3)
700x + 375y = 15000 (2)
700x + 700y = 18900 (3)
-325y = -3900
Divide both sides by -325
y = -3900/-325
y = 12
Recall
x + y = 27
x + 12 = 27
x = 27 - 12
x = 15
Therefore, the business should purchase 15 business class and 12 economy class.
Complete question:
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?. A) 11 business class and 16 economy class. B) 12 business class and 15 economy class. C) 15 business class and 12 economy class. D) 16 business class and 11 economy class