Given:
The perimeter of a backyard basketball court with four sides is 90 feet.
Two sides of the court are each 20 feet long.
One side of the court is 25 feet long.
To find:
The missing side length of the basketball court.
Solution:
Let x be the missing side length.
The three given sides of the basketball court are 20 feet, 20 feet, 25 feet.
We know that the perimeter is the sum of all sides.
[tex]Perimeter=x+20+20+25[/tex]
[tex]Perimeter=x+65[/tex]
The perimeter of a backyard basketball court with four sides is 90 feet.
[tex]x+65=90[/tex]
[tex]x=90-65[/tex]
[tex]x=25[/tex]
Therefore, the missing side length is 25 feet and the correct option is B.
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
ΔX = -1 – 2 = -3
ΔY = -4 – 2 = -6
-6 divided by -3=2
Hope it helps ;)
Step-by-step explanation:
[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]
even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.
#CMIIWHal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?
Explain for BRAINLIST.
HELP GEOMETRY PLEASE !!!!
Answer:
∅ = 37°
Step-by-step explanation:
cos ∅ = adj/hyp = 4/5 = 0.8
∅ = 37°
Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds one bottle of soda that costs $2.52 and contains 14 ounces. Which bottle costs less per ounce?
Answer:
The bottle that costs less per ounce is the 11 ounce
Step-by-step explanation:
First you have to divide each ounce by the cost to find out how much each ounce costs.
1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.
Hope this helps!
What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
Answer:
C
Step-by-step explanation:
EDGE
HELP ME PLEASE!! ILL MARK BRAINLIEST FOR THE FIRST TO AMSWER ! BUT THE ANSWER AS TI BE RELATED TO THE QUESTION CAUSE IF NOT I WOMT MARK U BRAINLIEST !
Mr. Moran chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 21, 19, 50, 50, 49, 44, 38, 40}
Answer:
39.5
Step-by-step explanation:
for brainiest:):):):):):):)
Answer:
15 = 0.025
16= 3 years
Step-by-step explanation:
15.
I=prt
15= (200)(r)(3)
200(3) = 600r
15 divided by 600r = 40 (0.025)
------------------------------------------------------
16.
I=prt
[tex]t= \frac{I}{Ixp} \\t= \frac{90}{0.05x600} \\t= 3[/tex]
t= 3 years
Which of the following shapes describes the 2d figure formed by slicing parallel to the base of a triangular prism
a. rectangle
b. triangle
c. square.
d.trapizoid
Answer:
c. square.
Step-by-step explanation:
squares have 4 parallel sides so if you cut it in half you will still be parallel
The 2D figure formed by slicing parallel to the base of a triangular prism is option B. Triangle.
What is a Triangular Prism?Triangular prism is the three dimensional figure which consists of two triangular shaped bases and three rectangular lateral faces.
WE have to find the 2d figure formed by slicing parallel to the base of a triangular prism.
We know that base of a triangular prism is triangle.
So, when we slice a parallel plane to the base of the triangular prism, the resulting 2D shape will also be a triangle.
Hence the 2D shape formed by slicing parallel to the base of a triangular prism is triangle.
To learn more about Triangular Prism, click on the link given below :
https://brainly.com/question/10354948
#SPJ3
If ava makes $15 in 2 hours, what is her rate of pay?
Answer:
$7.50 per hour
Step-by-step explanation:
15/2=7.5
Answer:
she makes $ 7.50 an hour
Step-by-step explanation:
mark brainliest
5
Which of those points does not lie on the line y = 3x + 5*
(1 Point)
O (1,8)
O (4, 17)
O (-2, 11)
0 (0,5)
Answer:
point (-2,11) does not lie on the given line
Step-by-step explanation:
To find : Which of the following points does not lie on the line ?
Solution :
To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.
a) Point (1,8)
Line y=3x+5
Substitute x=1 and y=8
8=3(1)+5
8=8
(1,8) point lie on the line.
b) Point (4,12)
Line y=3x+5
Substitute x=4 and y=17,
17=3(4)+5
17=12+5
17=17
(4,17) point does not lie on the line.
c) point (-2,11)
Line y=3x+5
substitute x=-2 and y=11
11=3(-2)+5
11=-6+5
11 is not equal to -1
d) Point(0.5)
Line y=3x+5
Substitute x=0 and y=5
5=3(0)+5
5=5
A doctor has an annual income of $152,125. The income tax that doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?
9514 1404 393
Answer:
$9,127.50
Step-by-step explanation:
6% of $152,125 is ...
0.06 × $152,125 = $9,127.50
The doctor has to pay $9,127.50 in income tax.
y = x2 + 12x + 30
8x − y
Monique went on a hike in the hills. The table
displays the times and distances from the beginning to
the end of the hike.
If Monique hiked at a constant pace, which equation
shows the relationship between the length of the time
she hiked and the distance she hiked?
A. d= 6t
B. d = 4.8t
C. d= 12.5t
D. d= 0.087
Answer:
I believe it is A, d= 6t
It is an odd question though.
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.
Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Answer:
13.5%
Step-by-step explanation:
Given that h varies inversely with respect to g, and that h= -24 when g= 3, write an
equation that describes the relationship between h and g. Then find h when g=-1,
Answer:
h = 72
Step-by-step explanation:
Given that h varies inversely with g then the equation relating them is
h = [tex]\frac{k}{g}[/tex] ← k is the constant of variation
To find k use the condition h = - 24 when g = 3 , then
- 24 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
- 72 = k
h = - [tex]\frac{72}{g}[/tex] ← equation of variation
When g = - 1 , then
h = - [tex]\frac{72}{-1}[/tex] = 72
4 What is the slope of the line represented by the
table of values below?
Answer:
(c) or 10 is the answer
Step-by-step explanation:
In order to find slope you have to follow the formula
(y2-y1) / (x2-x1)
That would give you the slope which in this case is 10.
Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).
Answer:
-3 and -2
Step-by-step explanation:
7x² + 19x + 21 = 4x² + 4x + 3
combine like terms:
3x² + 15x + 18 = 0
3(x² + 5x + 6) = 0
(x + 3)(x + 2) = 0
x = -3
x = -2
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
Jada sells ground paprika.
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.
Answer:
The answer is 35 kilograms of paprika to cover her costs exactly.
Step-by-step explanation:
the locus of points in a plane
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
Answer:
y = 1.
Step-by-step explanation:
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?
Mr. Davis is a gym teacher. Yesterday, he recorded how many laps each of his students ran
around the gym during class. This box plot shows the results
What percent of students ran 10 or more laps?
55.55% of the students ran 10 or more laps.
PercentagesAccording to the data in the box, to determine what percent of students ran 10 or more laps, considering the line drawn, the following calculation must be made:
14 - 5 = 9100 / 9 = 11.1111.11 x 5 = 55.55Therefore, 55.55% of the students ran 10 or more laps.
Learn more about percentages in https://brainly.com/question/26080842
Answer:
THE CORRECT ANSWER IS: 25%
Step-by-step explanation:
can someone do this and explain how you did it with the formula and stuff.
Step-by-step explanation:
Chop it into shapes you know how to solve with:
Rectangle with dementions 6m x 3m A=18m^2
Rectangle with dementions 12m x (8-3)m A=60m^2
Rectangle with dementions 2m x 3m A=6m^2
total area= 18+60+6=84m^2
Peremeter:
12+6+2+(12-6-2)+3+3+8+8
=12+12+3+3+8+8
=24+6+16
=30+16
=46m
a penny is dropped from a height of 144 ft. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 16t^2 - 144.
answers
t = 9seconds
t = 3 seconds
t = 18 seconds
t = 10 seconds
Answer:
The time of fall is 9 seconds
Step-by-step explanation:
We are asked to find the time between when the penny was dropped and when it landed.
To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.
From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by
[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1
in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax
Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0
We can now differentiate equation 1 above to get
h max = 16t - 0 ------------- equation 2
recall that h max = 144
plugging the value of h max into equation 2, we have
144 = 16t
t = 9 seconds
Therefore the time of fall is 9 seconds
Answer:
t= 3 seconds
Step-by-step explanation:
I took the quiz and this is the answer
What are the domain and range of h(x) = 3|x|? A. domain: all real numbers; range: y ≤ 0 B. domain: x ≥ 0; range: all real numbers C. domain: x ≤ 0; range: all real numbers D. domain: all real numbers; range: y ≥ 0
Help! plss
Answer:
D
Step-by-step explanation:
The temperature on the moon can vary from -172 to -126 degrees celsius. Find the difference between the maximum and minimum temperatures. Write with explanation PLEASE!!!
Given:
The temperature on the moon can vary from -172 to -126 degrees Celsius.
To find:
The difference between the maximum and minimum temperatures.
Solution:
It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.
Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.
The difference between the maximum and minimum temperatures is:
Difference = Maximum temperature - Minimum temperature
[tex]\text{Difference}=-126-(-172)[/tex]
[tex]\text{Difference}=-126+172[/tex]
[tex]\text{Difference}=46[/tex]
Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.
The bear population increases at a rate of 2% per year. There are
1573 bear this year. Write a function that models the bear population.
How many bears will there be in 10 yr?
Answer:
The answer would be P(x) = 1573*(1.02)^x
State the measure of an angle whose complement is 23o
Answer: 67 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. To find the complement of an angle, subtract it from 90. 90-23=67.
It would take 150 minutes to fill a swimming pool using the water from 5 taps.
A) how many minutes will it take to fill the pool if only 3 of the taps are used? ______ minutes
B) an assumption being made in my working is that all the taps are flowing the same__ ___
Answer: points for points
Step-by-step explanation:
Hi t sure what to do?