Answers
9514 1404 393
Answer:
a) 191 yards
b) 40 yards
c) 1.5 minutes
Step-by-step explanation:
Given:
ΔPQR is a right triangle with the right angle at Q
PQ = 40 yards; QR = 70 yards
M is the midpoint of PR
jogging rate is 150 yd/min
Find:
a) the perimeter of ΔPQR to the nearest yard
b) QM to the nearest yard
c) the time to jog the path PQMRQP to the nearest tenth minute
Solution:
a) The length of PR can be found from the Pythagorean theorem:
PR² = PQ² +QR²
PR² = 40² +70² = 6500
PR = √6500 ≈ 80.62 . . . . yards
Then the perimeter is ...
perimeter = PQ +QR +PR = 40 +70 +80.62 ≈ 191 yards
__
b) Segment QM divides triangle PQR into two isosceles triangles: PMQ and RMQ. The lengths MP, MQ, and MR are all equal to half the length of PR.
QM = PR/2 = (80.62 yd)/2 = 40.31 yd
QM ≈ 40 yd
__
c) The segments of path PQMRQP can be grouped to simplify the computation of the path length
PQMRQP = PQ +QM +MR +RQ +QP = PQ +(PQ +QR +(QM +MR))
Since QM +MR = PR, the length in the outer parentheses is the perimeter of the triangle. Then the jogger's total path length is ...
PQ + perimeter(ΔPQR) = 40 yd +191 yd = 231 yd
The time it takes to jog that path is ...
time = distance/speed
time = 231 yd/(150 yd/min) = 1.54 min ≈ 1.5 min
It takes about 1.5 minutes.
Related Questions
The length of a bridge is 150 m. The length of each of Robert's paces is 65 cm.
What is the minimum number of roll paces that it would take Robert to walk the full length of
the bridge
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Answers
This is because you have to convert 150m into cm. So times that by 10. So 150m=1500cm.
Now you divide 1500/65 which is 23.07.
And round up the answer would be 24.
Hope this helps
Applying a quadratic regression model y = ax2 + bx + C,
what are the values of a, b, and c?
O a = 0.248, b = 0.994, c = 2.979
O a= 2.979, b = 0.994, c = 0.248
O a = 0.248, b = -0.994, c = 2.979
O a = 2.979, b= -0.994, c = 0.248
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A(-7,-5), B(-2,-5), C(-2,-1), D(-7,-1), and find the area of figure ABCD.
Answers
Check the picture below.
Notice it's simply a 5x4 rectangle, and surely you know how to get its area.
7r−
s
15
7, r, minus, start fraction, 15, divided by, s, end fraction when r=3r=3r, equals, 3 and s=5s=5s, equals, 5.
Answers
Answer:
when r=3 and s=5.
Step-by-step explanation:
Given : Expression when r=3 and s=5
Substituting, r=3 and s=5
Therefore, when r=3 and s=5.
how do i get 51 by only using 8 5 6 7
Answers
Answer:
[tex]6+\frac{7!}{5!-8}[/tex]
Step-by-step explanation:
The only way to get this is by using advanced operations such as Factorials.
Given s = 2.4 b = -7.2 t = 4.8 n = -9.6, evaluate this mathematical expression (s - b)(n + t).
These are the answer options:
23.04
-23.04
46.08
-46.08
Answers
Answer: Fourth Choice. -46.08
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
s = 2.4
b=-7.2
t=4.8
n=-9.6
Given expression
(s - b) (n + t)
Substitute values into the expression
= (2.4 - (-7.2)) (-9.6 + 4.8)
Simplify values in the parentheses
= (2.4 + 7.2) (-4.8)
=(9.6) (-4.8)
Simplify by multiplication
= [tex]\boxed{-46.08}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
- 46.08Step-by-step explanation:
Given Values :-
s = 2.4
b = - 7.2
t = 4.8
n = - 9.6
Substituting the given values in the equation :-
= > ( s - b ) ( n + t )
= > ( 2.4 - ( - 7.2 ) ) ( - 9.6 + 4.8 )
= > ( 2.4 + 7.2 ) ( -4.8 )
= > ( 9.6 ) ( - 4.8 )
= > - 46.8
Hope it helps you ツPLS HELP! GIVING BRAINLIEST!
Given g(x)=2x+4, find: g(4)
PLS SHOW WORK !!
Answers
Answer:
12
Step-by-step explanation:
x=4
2×4+4
=12
I think this is the answer
can someone explain scientific notation please it’s so confusing.
Answers
Let's say we had the massive number
6,230,000,000
which we can shorten it to saying "6.23 billion" and that allows us to drop all the extra zeros at the end.
When writing it in scientific notation, we would say [tex]6.23 \times 10^9[/tex] and the [tex]\times 10^9[/tex] portion indicates "times ten to the ninth power". This is the place holder for "billion". It means we'll move the decimal point 9 spots to the right to go from 6.23 back to the original massive number shown above.
In short, scientific notation allows us to represent really large numbers in a compact way. It's useful to be able to communicate to a friend about whatever number you're referring to. One application is trying to find vast distances in outer space which tend to be very larger numbers. There are many other applications for scientific notation.
What’s mean number basic statistics btw
Answers
Answer:
To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. To find the mode, identify which value in the data set occurs most often.
PLEASE HELP!! Pleaseee answer
Answers
Answer:
answer see below
Step-by-step explanation:
Draw four straight lines that are perpendicular to each other and use a compass to cut AB's length on each line to form a square.
The lavender soap from Suds & Soil is made of 90% natural ingredients. The entire bottle of soap is 10 ounces. How many ounces are natural ingredients?
Answers
Answer:
9
Step-by-step explanation:
1 = 10%
9 = 90%
What is the slope of the line?
Answers
Answer:
3/2
Step-by-step explanation:
rise over run
Drag tiles to the board to represent the expression.
Model the algebraic expression x + 2. Then select all
the statements that are true.
x + 2 cannot be modeled with algebra tiles.
The variable x is represented by a rectangular
orange x tile.
The variable x is represented by a square orange +
tile.
O + 2 is represented by 2 rectangular orange x tiles.
+ 2 is represented by 2 square orange +
tiles.
Board sum: 0
Answers
Answer:
its 2 and 5
Step-by-step explanation:
stan exo
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Answers
Slope: 2
Y-intercept: -1
2.
Slope: 1/2
Y-intercept: 3
3.
Slope: x
Y-intercept: -4
4.
Slope: -x
Y-intercept: -2
5.
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Y-intercept: 10
C. Your score would be 85
*all graphs are in the image below*
The equation y = 0.29x + 58 models the cost y of renting a car if the car is driven x
miles.
According to the model, what is the best estimate of the cost for renting a car if you
plan to drive 619 miles? Please round your answer to the nearest dollar.
Include answer and units
Answers
0.29(619)+58=237.51
Answer:
y = $238
Step-by-step explanation:
Given the equation, y = 0.29x + 58
Where:
y = total cost of renting a car
x = number of miles driven
58 = initial cost or amount.
To find the estimated cost for renting a car if you plan on driving for 619 miles, substitute 619 as the value of x into the equation:
y = 0.29(619) + 58
y = 179.51 + 58
y = 237.51 or 238
Therefore, the estimated total cost for driving 619 miles is $238.
Please mark my answers as the Brainliest if you find this helpful :)
17. Write the slope-intercept form of the equation of the line though the given point with the given slope.
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Show work please
Answers
Answer:
y = - x +2
Step-by-step explanation:
Slope = -1
Point: (-3,5)
b = 5 - (- 1)(- 3)
= 5 - 3 = 2
Let f(t) represent the temperature of a turkey baking in an oven as a function of time [] in the oven (in minutes). This means time is the independent variable and temperature of the turkey t) is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an over, the temperature of the oven stays constant
1. Describe the rate of change pattern over each interval of the graph listed below.
a) 0
b) 345
c) t > 360
2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences
3. Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation
Answers
Answer:
Since x (independent) is time and y (dependent) is temperature;
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Step-by-step explanation:
Answer:
Since x (independent) is time and y (dependent) is temperature;
F(0) =50 means; at the beginning which is 0 minutes, the temperature is 50F
f(120)>f(60) means the temperature after 120 min is bigger than the temperate after 60 min.
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f(390) < f(360) means the temperate after 390 min is less than the temperature after 360 min
Step-by-step explanation:
2+2=
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Answers
Answer:
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Step-by-step explanation:
if you put up 2 fingers and then add 2 more (2+2) you will get 4!
lol I hope that helped!
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Step-by-step explanation:
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B
32) D
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= 4*2² + 1 = 4*4 + 1
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B
34) D) all real numbers
35) Domain = all real numbers,
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x = 0 ; y = -(0+2)² - 7 = -4 - 7 = -11
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C
37) Let the number be 'x'
x² + x = 165
x² + 4x - 165 = 0
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x² + 15x - 11x - 165 = 0
x(x + 15) - 11(x + 15)=0
(x + 15)(x - 11) = 0
x + 15 = 0 ; x - 11 = 0
x = -15 ; x = 11
C
38) y = 3(x + 1)² - 2
Plugin x = -1 ; y = 3(-1 +1)² - 2 = 0 - 2
y = -2
(-1 , -2)
D
39) y = 3(x - 9)² + 3
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B
What is the velocity of a car that traveled a total of 75 km north in 1.5 hours
Answers
Answer:
13.89 m/s
Step-by-step explanation:
Velocity = displacement = time
75 km = 75000 m
1.5 hours = 5400 sec
applying the formula
velocity = 75000 m= 5400 s = 13.89 m/s
Answer:
Velocity= Displacement / Time
= 75/1.5
=50km/hr
Step-by-step explanation:
hope it helps
mark me brainliest pls
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Step-by-step explanation:
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Step-by-step explanation:
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A sign at a zoo says that their baby elephant weighs 200 pounds. The weight was rounded to the nearest tenth. What could be the actual weight of the elephant before it was rounded?
Answers
Answer:
199.5lbs, 199.6lbs, 199.7lbs, 199.8lbs, 199.9lbs
You can choose any of the 5
Find the midpoint M of the line segment joining the points S = (7, -2) and T = (-3, -8).
Answers
Answer:
(2, -5)
Step-by-step explanation:
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three consecutive numberes sum to 285. write an equation and solve for the first number, then list the other two numbers.
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Answers
Answer:
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Application of geometric and arithmetic sequence and series in real life. Please show your solution.
Answers
Answer:
the amount on your savings account ;
the amount of money in your piggy bank if you deposit the same amount each week (a bank account with regular deposits leads you to arithmetico-geometric sequences) ;
the size of a population in exponential growth, e.g. bacteria in a Petri dish (or in your leftovers if you find Petri dishes not "every day life" enough) ;
the intensity of radioactivity after n years of a given radioactive material (with application to determining the age of mommies!).
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If I am not wrong
I need this please help
ASAP!!!
Answers
Dealing with the top: do exponents first. So 3^2 is 9. Then regular multiplication: (-3)(9) = -27. So -27/-7. The negatives cancel, and you’re left with 27/7.
Car A is traveling east at a steady speed of 50 miles per hour. After 2 hours, it
is 140 miles east of Johnstown.
Car B is traveling east on the same road. Its distance east of Johnstown is
represented by the graph.
Where were the two cars in relation to each other when they began traveling?
A. Car A was 20 miles east of car B
B. Car B was 40 miles east of car A
C. Car A was 40 miles east of car B
D. Car B was 20 miles east of car A
Answers
Answer:
Car A was 20 miles east of car B.
Step-by-step explanation:
just did it:)