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.
Which of the following is a factor of 21?
Answer:
The factors of 21 are 1, 3, 7 and 21. A factor is a number that can divide evenly into a given number. Because 21 can be divided by numbers other than itself and 1, it is called a composite number. Every number has 1 and itself as a factor. Numbers that have no other factors are called prime numbers.
Step-by-step explanation:
Anyone know how to answer this question?
Answer:
30
Step-by-step explanation:
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A
Answer:
They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B
Step-by-step explanation:
so its really just bots on here dayum
Answer:
Yes only bots
Step-by-step explanation:
Answer:
ikr its so annoying
Step-by-step explanation:
The points with coordinates (0, 3) and (8, 5) lie on the straight line L. Write down an equation of L.
Answer:
y = (1/4)*x + 3
Step-by-step explanation:
A linear equation can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through the points (0, 3) and (8, 5)
Then the slope will be:
a = (5 - 3)/(8 - 0) = 2/8 = 1/4
Then this line is something like:
y = (1/4)*x + b
Now we want to find the value of b.
Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.
If we replace those two values in the line equation, we get:
3 = (1/4)*0 + b
3 = b
Then the equation for the line L is:
y = (1/4)*x + 3
Can someone please help me asap ill mark brainlist + extra points!!!!!!
Answer:
25
Step-by-step explanation:
d=2r
2r=25+25=50
d=50
Radius =25
Answer:
25 yds
Step-by-step explanation:
2*radius=diameter
radius=d/2
r=50/2
r=25yds
8 is the quotient of a number g and 3
Answer:
g = 3/8
Step-by-step explanation:
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system
HELP ASAP PLEASE!!!!!!!1
Pls help
Pls help
Pls help
Answer:
[tex]153\ in^2[/tex]
Step-by-step explanation:
1. Approach
Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.
2. Area of the trapezoid
The first figure is a trapezoid, calculate its area by using the following formula,
[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]
Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.
[tex]A_t = \frac{16 + 5}{2}(10)[/tex]
Simplify,
[tex]=\frac{21}{2}(10)[/tex]
[tex]=10.5(10)[/tex]
[tex]=105[/tex]
3. Area of the rectangle
The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,
[tex]A_r =(b)(h)[/tex]
Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,
[tex]A_r=(16)(3)[/tex]
Simplify,
[tex]=48[/tex]
4. Find the total area
Now add up the values for the area of each figure. The result will be the total area of the figure,
[tex]A_t + A_r = A[/tex]
Substitute,
[tex]105 + 48 = A[/tex]
Simplify,
[tex]153 = A[/tex]
A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?
Answer:
Step-by-step explanation:
1) Mary and Frank have two bags in front of them. Mary's bag has 4 Inarbles; blue, yellow, red
and green. Frank's bag has 3 marbles; purple, orange, and pink. They will pick from their bag
at the same time. What is the probability of Mary selecting red from her bag and Frank selecting
purple from his bag? Use a sample space to support your answer.
Answer:
25% chance that Mary gets red, 33.3333333% chance that Frank gets purple.
Step-by-step explanation:
Also I need part b on this one
Answer:
there is nothing here but thanks for the points
Step-by-step explanation:
Have a great rest of your day/night!
Probability is __________. A. the measure of the likelihood of something happening B. the act of risking something of material value on an uncertain outcome C. the ratio of desired outcomes to undesired outcomes D. the act of winning a bet Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Match each expression to its exponential form.
10^2 = 10 × 10
10^3 = 10 × 10 × 10 = 1000
10^4 = 10 × 10 × 10 × 10
Nine students took a mathematics quiz. Their scores were 85 ,68 ,54 ,69 ,70 ,64 ,89 .77 ,71
Find the median.
Answer:
70
Step-by-step explanation:
The median is the value that is directly in the middle of the data set.
Hope this helps :)
The median of the mathematics quiz of the nine students is M = 70
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
To find the median of the scores, we need to first arrange them in order from smallest to largest:
54, 64, 68, 69, 70, 71, 77, 85, 89
Since there are nine scores, the median is the middle score when they are arranged in order.
In this case, the fifth score (70) is the middle score, so the median score is 70.
Hence , the median score for the math quiz is 70
To learn more about median click :
https://brainly.com/question/28687994
#SPJ2
Giving 20 points plz help me
Answer:
3 square inches
Step-by-step explanation:
if each sticker is 1 inch by 1 inch, that means they each have an area of 1 in² since A=lw (area equals length times width), A=1×1, A=1. Now since there are 3 stickers, 3 stickers ×1 inch² equals a total area of 3 inches²
Hope this helps!
A: {(-3,-1), (2,2),(0,1),(1,3),(-2,4)}
B: {(-3,-1),(-2,2),(1,0),(3,1),(4,-2)}
C: {(-3,-1),(2,-2),(1,0),(3,1),(4,-2)}
D: {(-1,3),(-2,-2),(0,1),(3,1),(4,2)}
Answer:
Add al of the numbers
Step-by-step explanation:
all you have to do is add all the numbers
Help me please and if you do, I will add you and give you brainliest
Answer: B
Step-by-step explanation:
The temperature at 8:00 am was -10ºF. It rose 15º by noon. At 7:00 pm, the temperature dropped 25º. What was the temperature at 7:00 pm?
Answer:
The answer would be -30°F
Help me out with this math please
Answer:
I believe it is C.
Answer:
B
Step-by-step explanation:
because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.
Please Please please please help help help help!!!!!!!!!!!!!!!!!!!
Find the product of 3 times the difference of 30 and 25 and 4 times the sum of12 and 15.
And please don't send the links and all please just answer step by step please!!.
Answer:
Step-by-step explanation:
30 30 x 3 = 90
x 3
90
first multiply 4 x 5 = 20 bring down 0 then multiply 4 x 2 = 8 then add+2= 10
25 x 4 = 100
12 x 15 = 180
what are the measures of angle B and D
Answer:
n=10
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST
50 POINTS
approximate the solutions to this system.
y = 3x2 + x − 6
y = x − 4
Round your answers to the nearest hundredth.
Answer:
Its actually y=-4.82 but ok
Step-by-step explanation:
Convert: 5 mi= ________ yd
Group of answer choices
1,760
8,800
8,000
7,040
The ___________________ of an object is how heavy the object is
Group of answer choices
none
length
weight
capacity
The _____________________ of a container is the amount the container can hold.
Group of answer choices
length
capacity
No answer text provided.
weight
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
__________________________________________________________
__________________________________________________________
Convert: 9 T = _____________ lb =
Compare. Write <, > or = Solve.
96 fl oz ___________ 13 c
Compare. Write <, > or = Solve.
25 lb ______________ 384 oz
Compare. Write <, > or = Solve.
8 yd ______________ 288 in.
Convert. 336 oz = _________ lb =
Answer:
I DONT KNOW BUT
Step-by-step explanation:
4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2
Help me pleaseee!! I’ll mark
Answer:
esarespuesta ad 56
Step-by-step explanation:
A company makes wax candles shaped like rectangular prisms. each candle is 5 cm long, 2 cm wide and 12 cm tall. if the company used 5040 cm^3 of wax, how many candles did they make ?
Answer:
[tex]42[/tex]
Step-by-step explanation:
V=whl=2·12·5=120,
5040 divided by 120= 42
How much tax, in dollars, did Andrea pay for each song? There are 85 songs, each one costs 1.09 plus tax, and the total is $96.90
Answer:
$4.25 tax
Step-by-step explanation:
[tex]85 \times 1.09 + x = 96.90[/tex]
[tex]x = 4.25[/tex]
