The length of PS is 18.4 units and the length of RS is 24 units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the perimeter of ΔPQR is 94 units.
From the figure, PQ+QR+PR=94
22.4+29.2+PR=94
51.6+PR=94
PR=94-51.6
PR=42.4 units
By bisector theorem of interior angle of triangle
Take PS=x and RS=42.4-x
We have PS/RS=QP/QR
x/(42.4-x)=22.4/29.2
x/(42.4-x)=0.77
x=0.77(42.4-x)
x=32.5-0.77x
1.77x=32.5
x=32.5/1.77
x=18.4
So, PS=18.4 and RS=42.4-18.4=24 units
Therefore, the length of PS is 18.4 units and the length of RS is 24 units.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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Two cars travel at the same speed to different destinations. Car A reaches its destination in 40 minutes. Car B reaches its destination in 50 minutes. Car B travels 9 miles farther than Car A. How fast do the cars travel?
Answer:
54 mph
Step-by-step explanation:
Since Car B travels 9 more miles in 10 more minutes, you would need to multiply 10 by 6 and 9 by 6 to get 54 miles per 60 minutes or 54 mph. And this would work because Car A would travel 36 miles and Car B would travel 45 miles and 45 - 36 is 9.
SHOW YOUR THINKING
Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?
Jillian won the game because her score varied less than Dawn’s score.
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
Dawn won the game because the person with the greater mean played better.
Dawn won the game because her mean absolute deviation was less than Jillian’s.
Answer: B
Step - By -Step Explanation i got it right on edge2020
Q.7d) q.7 find all below.
Answer:
a) 2/7 cup
b) k = 2/7
Step-by-step explanation:
2 cups of red paint (R) require 7 cups of white paint(W)
We can write this as a proportion equation:
R = k.W
where k is the constant of proportionality
Given R =2 when W = 7 we get
2 = k . 7
k = 2/7
Constant of proportionality = 2/7
So for 1 cup of White paint we will need
R = 2/7 x 1 = 2/7 cup
Q.7d) q.6 find all. below
Answer:
a. 8
b. 5
c.1/8
d. 40
e. 0
Step-by-step explanation:
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units? (3 points)
Group of answer choices
Fraction 2 over 3 unit
1 unit
1 Fraction 2 over 3 units
2 units
Answer:
1 unit
Step-by-step explanation:
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/3 unit, and the width is 1/3 unit, what is the perimeter of the rectangle in units?
perimeter = 2(l + w)
perimeter = 2(2/3 + 1/3)
perimeter = 2(3/3) = 2(1)
perimeter = 1
Answer: 1 unit
Answer:1 Fraction 2 over 3 units
Step-by-step explanation: take your time
SHOW YOUR WORK!!!
The box plots show Theo’s math scores and language arts scores.
Math
2 box plots. The number line goes from 50 to 100. For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.
Language Arts
About 50% of Theo’s scores are in which range for each subject?
60 to 85 for math; 60 to 80 for language arts
55 to 90 for math; 50 to 90 for language arts
55 to 60 for math; 50 to 60 for language arts
85 to 90 for math; 80 to 90 for language arts
Answer:
55 to 90 for math; 50 to 90 for language arts
Step-by-step explanation:
The correct statement regarding the middle 50% of the data-sets is given as follows:
60 to 85 for math; 60 to 80 for language arts.
What is shown by the box and whisker plot?From left to right, the five features of the box and whisker plot are listed as follows
Minimum value.Lower quartile.Median.Upper quartile.Maximum value.The middle 50% of a data-set is given by the interquartile range of the data-set, which is the difference between the upper quartile and the lower quartile of the data-set.
On the box plot, the middle 50% is given by the ends of the box.
More can be learned about box and whisker plots at brainly.com/question/30464750
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Help me pls worth 40 points
Answer:
b
Step-by-step explanation:
if its located after 1 it would need to be between 1 and 2 on the line so b is the only one that is there
Please hurry! Will give brainliest! The water in a heated pool has a temperature of. 15.4°C. A lifeguard increases the temperature by 11.6°C. Need an answer in →decimal← . ↑ ↑ ↑ ↑
What is the final water temperature?
Enter your answer in the box.
15.4 (the original temperature) + 11.6 (the amount that the lifeguard adds) = 27, therefore the final water temperature is 27.0 degrees celsius
Answer:
The answer to your question is 27.0° C.
please answer this!
Answer:
27 found this answer in ohio
Step-by-step explanation:
We want to multiply the following 2 fractions:
3
4
x
36
1
Multiplying 2 fractions involves multiplying both numerators divided by both denominators.
Numerator 1 x Numerator 2
Denominator 1 x Denominator 2
In this case, Numerator 1 = 3, Denominator 1 = 4, Numerator 2 = 36, Denominator 2 = 1, so we have:
3 x 36
4 x 1
108
4
Now that we have our preliminary answer, we need to reduce it down as much as possible.
From our GCF Calculator, we see that the highest number that reduces 108 and 4 down to an integer is 4.
This number, 4, is called our Greatest Common Factor (GCF), and will be used to reduce both numerator and denominator as seen below.
Reducing the numerator gives us: (1/4) x 108 = 27
Reducing the denominator gives us: (1/4) x 4 = 1
Our answer is just the reduced numerator divided by the reduced denominator.
Since our reduced answer is a whole number, we remove the one from the denominator and write it as:
Answer = 27
What is the volume of this triangular prism?
Volume is calculated using the formula volumes = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.
Explaining a triangle
Triangles: What are they? Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Answer: What is a triangle?
A triangle is made up of three vertices, three angles, and three sides. A triangle's internal angles add up to 180 degrees. The triangle's third side is longer than the two sides added together. where is
Find the length of each model. Then find the scale factor.
Answer: 15
24
Step-by-step explanation: 15 /24
A change in the x value means the preimage slides....
Answer:
means moving each X value by a constant amount
Step-by-step explanation:
help please and thanks! mathematics.
Answer:
27 cm squared
Step-by-step explanation:
r = half of the diameter = 8 cm
area of circle = pi(r)^2 = 3.14 x (8 cm)^2 = 200.96 cm squared
area of rectangle = 16 cm x 8 cm = 128 cm squared
area of shaded region = area of the rectangle - (half of the area of the circle)
half of the area of the circle = 100.48 cm squared
therefore, area of shaded region = 128 cm squared - 100.48 cm squared
= 27.52 cm squared
A deli offers a lunch-special that comes with soup, a sandwich, and a dessert. The soup choices are tomato or onion, the sandwich choices are ham, chicken, tuna, or pastrami, and the dessert choices are cake or pie.
a. Would this problem best be solved by using a table, a list, or a tree diagram. Explain your answer.
b. Use one of those methods to determine the size of the lunch-special sample space.
Answer:
A. This problem would best be solved using a tree diagram.
B. In order to solve it, you would construct a tree with the first soup choices growing into the other options. Then, after listing every alternative, you could either add them all up to obtain your answer or you could just use the formula 2*4*2=16, which would result in 16 possibilities.
Please help ASAP! I attached a screenshot.
Answer:
answer:A,C
Step-by-step explanation:
What is the value of 80-2n when n=4
A: 66
B: 72
C: 76
D: 86
Answer:
B) 72
Step-by-step explanation:
The value of 80-2n when n=4 can be found by substituting n=4 into the expression and simplifying. Therefore:
80-2n = 80 - 2(4) = 80 - 8 = 72
Therefore, the answer is B) 72.
[tex] \sf80 - 2n[/tex]
Put n = 4
[tex] \tt80 - 2 \times 4 \\ \tt80 - 8 \\ \boxed{ \sf\underline{ \underline{72}}}[/tex]
Thus, The correct answer is option B!! :)In order to pass this year’s math class, Miriam needs to earn at least an 82%. Write an inequality that shows the scores Miriam could get to pass her math class.
Answer:
Step-by-step explanation:
The inequality that shows the scores Miriam could get to pass her math class will be x ≥ 0.82y.
What is inequality?
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
To pass this year’s math class, Miriam needs to earn at least 82%.
Let 'x' be the number of marks that Miriam needs to pass and 'y' be the total marks. Then the inequality is given as,
(x / y) × 100 ≥ 82%
Simplify the inequality, then we have
(x / y) × 100 ≥ 82%
(x / y) ≥ 0.82
x ≥ 0.82y
The inequality that shows the scores Miriam could get to pass her math class will be x ≥ 0.82y.
Convert 6 1/10 into a decimal.
Answer:
6.1
(It needs me to type it longer than this, but the answer is simply 6.1)
Answer:
6.1
Step-by-step explanation:
1/10 is equal to .1
The following table shows the chemical makeup of one mole (a unit of measure commonly used in chemistry) of acetone and the approximate mass of a mole of each compound element.
If a chemist start with 1,800 grams of acetone and used up 930 grams, approximately how many moles of carbon are left? Round your answer to the nearest whole mole.
Answer:
Yes
Step-by-step explanation:
Si
A video game is on sale for $15 off the original price of $60. What percent of the original price is the discount?
Answer: $9
Step-by-step explanation:
Original price 60
Discount off 15
Amount saved 9
Answer:
25%
Step-by-step explanation:
60 ÷ 4 is equal to 15 which means it's 25% off.
Consider rhombus ABCD, with side length 6:
This is rolled to form a cylinder of volume 27/2 by taping AD to BC:
What is sin(angle BAD)?
Answer: The circumference of the cylinder's base is 6 units.
Radius = 1/2(6/pi)
Volume = r2pi*h
h = (27/2) / r2pi
sin(∠BAD) = h / 6
53 turtles have been tagged and released. Some kids caught 82 turtles and 11 turtles have tags. What would be the closest total of turtles.
a) 446
b) 395
c) 405
d) 353
Answer: 405
Step-by-step explanation:
Please help Im super confused
Answer:
Step-by-step explanation: You multiply everything by 10
10 x (4) = 40
10 x (-w) = -10w
40-10w
Using the set numbers
3
,
3
,
4
,
5
,
6
, you can calculate the following : mean
, mode
, median
, and the range
Answer:
mode=3
median=4
range=3
Step-by-step explanation:
Since mode=no that appears mostly
median position =n+1/2
range=largest value -smallest value;
mode=3median =5+1/2=3;median=4range=6-3=3Answer:
answer
Step-by-step explanation:
mode 3 mean 4 range 3
I'm not sure how to answer this question.
Answer:
Now you can divide 4/9 by many fractions:
2/9 x 2/1 = 4/9
1 x 4/9 = 4/9
Step-by-step explanation:
Product is the answer.Multiplicand is the first number.Multiplier is the second number.If 45 is 15% of a value, what is that value?
A. 300
B. 245
C. 60
D. 305
35 POINTS! NEED HELP!
Which expression is equivalent to 8x-12y+32?
16(0.5x-4y+32)
16(0.5x-0.75y+32)
16(0.5x-0.75y+2)
16(0.5x+4y+2)
ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER AND 50 POINTS!!
σ (n) ≤ Hn +ln (Hn)eHn = ?
4/n=1/a+1/b+1/c = ?
TYVM :)
[tex] \sf \frac{4}{n} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c} [/tex]
[tex] \sf \frac{4}{n} = \frac{1}{abc} [/tex]
[tex] \sf \: n = 4abc[/tex]
Quotient with remainder: 1-digit divisor, 2-digit dividend for 59 divide by 9
Answer:
6 remainder of 5
Step-by-step explanation:
59 does not divise cleanly so you to the closest number that does and that number is 6 then you minus 59 from 54 bc 9 times 6 is 54 and 59 minus 54 is 5 so five is what remains meaning it becomes remainder 5
What is the slope of the line that contains the points negative 3, negative seven halves and (2, −4)?
one fourth
one tenth
negative one tenth
negative one fourth
This answer was generated by an AI and may be incorrect.
The slope of a line can be found using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
Plugging in the given points, we get:
m = (-4 - (-7/2)) / (2 - (-3)) = 3/2 / 5 = 3/10
So, the slope of the line is 3/10, which is equal to one tenth.
Therefore, the answer is "one tenth."