Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The length of a training track running around the field is [tex]Z = 377.54 \ m[/tex]
Step-by-step explanation:
From the question we are told that
The length of the field is [tex]L= 93 \ m[/tex]
The width of the field is [tex]W = 61 \ m[/tex]
The length of the two semicircle is mathematically evaluated as
[tex]A = 2 * \pi * \frac{W}{2}[/tex]
substituting values
[tex]A = 2 *3.142 * \frac{61}{2}[/tex]
[tex]A = 191.54 \ m[/tex]
Now the length of a training track running around the field is
[tex]Z = A + 2 L[/tex]
substituting values
[tex]Z = 191.54 + 2 (93)[/tex]
[tex]Z = 377.54 \ m[/tex]
A gumball machine contains 7 red, 5 yellow, and 6 orange gumballs. What is the probability that the next gumball that comes out will be either red or yellow?
show work pls tnx!
Answer:
2/3
Step-by-step explanation:
7 red, 5 yellow, and 6 orange =18
P( red or yellow) = number of red or yellow / total
= (5+7)/18
=12/18
=2/3
A right triangle has sides of length 3, 4, and x. Find x, if x were the hypotenuse.
Answer:
[tex]x = 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
So the right answer is 5.
look at the attached picture
Hope it will help you
Good luck on your assignment
Suppose you are planning a ward party. Last year, there was a similar activity and 150 people attended. If the ward has grown by 9%, how many people do you expect will attend this year? (Round your answer to the nearest whole number.)
Answer:
164 people
Step-by-step explanation:
100% represents the 150 people who attended last year.
this year , there is an increase of 9% , which will make the total percentage to be 109%.
if ; 100% = 150 people
109% = ?
cross multiply to get 163.5 the round off to get 164
If a =(9,18) and b=(1,12) what is the length of ab
Answer:
AB = 10
Step-by-step explanation:
Use the distance formula: √(12 - 18)^2 + (1 - 9)^2
√36 + 64
10
Answer:
10 units
Step-by-step explanation:
Use the distance formula. Substitute the values, (1-9)²+(12-18)²=100. The square root of 100 is 10.
Anyone know the answer?
Answer:
A≈18.38
Step-by-step explanation:
Solve for area
Shape: Parallelogram
Formula: Base*Height
5.25*3.5=18.375
Round answer
Hope this helps.
Which algebraic expression represent this phase
Please help me in this question.
Answer:
Step-by-step explanation:
(i) Area of ABCD = (base1+base2)*height/2
= (6+12)*4/2 = 36 cm2
(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3
(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25
= 72 + 250 + 150 + 300
= 772cm2
If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =
Answer:
y=32
Step-by-step explanation:
cross multiply
36/4 *144/y
144*8/36
=1152/36
y=32
Answer:
D. -180
Step-by-step explanation:
In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many students are in this group altogether?
Answer: 32
Step-by-step explanation:
There are 18 boys and 14 girls (4 more boys than girls. 32 students total.
If the ratio of boys to girls is 9 : 7, there are 32 students in this Year 9 group altogether.
Let's denote the number of boys as "9x" and the number of girls as "7x" since the ratio of boys to girls is 9:7. We are also given that there are 4 more boys than girls, so we can set up an equation:
Number of boys = Number of girls + 4
9x = 7x + 4
Now, we can solve for "x":
9x - 7x = 4
2x = 4
x = 2
Now that we have the value of "x," we can find the number of boys and girls:
Number of boys = 9x = 9 * 2 = 18
Number of girls = 7x = 7 * 2 = 14
Finally, to find the total number of students in the group, we add the number of boys and girls:
Total number of students = 18 (boys) + 14 (girls) = 32.
The ratio of boys to girls is 9:7, and there are 4 more boys than girls.
To learn more about ratio click on,
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what is the sum of the geometric series?
a. 21/2
b. 21/8
c. 21
d. 10
Answer:
A
Step-by-step explanation:
Lauren’s book is 180 pages long. She has read 80% of it. How many pages has she read.
Answer: 144 pages
Step-by-step explanation: if you take 180 and multiple it by the decimal of 80% which would be .8 you get 144
Answer:
144 pages
Step-by-step explanation:
You have to do 180 times 80/100.
that will get you to 144 pages.
Diana works at a clothing store. She sold 1/3 of the total shirts on Tuesday and 5/12of the total number of blue shirts on Wednesday. What fraction of blue shirts did she sell on Tuesday and Wednesday?
Answer:
The fraction of blue shirts that she sold is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
She sold:
1/3 on Tuesday.
5/12 on Wednesday.
What fraction of blue shirts did she sell on Tuesday and Wednesday?
Sum of fractions.
The lesser common multiplier between 3 and 12, which is 12.
So
[tex]\frac{1}{3} + \frac{5}{12} = \frac{\frac{12*1}{3} + \frac{12*5}{12}}{12} = \frac{4 + 5}{12} = \frac{9}{12} = \frac{3}{4}[/tex]
The fraction of blue shirts that she sold is [tex]\frac{3}{4}[/tex]
how would you change x + 3y = 18 -3x - 12y = -75 to eliminate x
Answer:
Multiply the equation by 3 making positive 3X which will cancel out with negative 3X
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?
Answer:
n/2 - 6 + 10
8/2 - 6 + 10
4 - 6 + 10
= 8
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I just took the test, sorry if I didn't come on time.
Joaquin used 1-3/6 cups of apple juice and 1-4/6 cups of orange juice in a recipe for punch. How much juice did Joaquin use?Solve this problem any way you choose.
Answer:
The answer is 3 and 1/6 cups.
Step-by-step explanation:
If Joaquin used 1 and 3/6 cups of apple juice and 1 and 4/6 cups of orange juice for the punch, there is a total of 2 cups and the fractions can be added as their denominators are the same.
3/6 + 4/6 = 7/6 cups
So the total juice in the punch is 3 and 1/6 cups.
I hope this answer helps.
What is the area of the circle below, the circle has a radius 20.5 ft.
84 feet
92 feet
O 1319.59 ftsq
659.79 ftsa
O 128.74
O none
Answer:
It is approximately 1320.25
what is the circumference of a circle witha radius of 4 in
25.12 in or 8π
Step-by-step explanation:
Since you didn't specify whether or not to leave pi or to make it be 3.14, I did both.
The formula for the circumference of a circle is...
[tex]C=2\pi r[/tex]
So...
[tex]C=2*3.14*4[/tex]
C = 25.12 in
If you want to leave pi...
[tex]C=2*\pi *4[/tex]
C = 8π
What is the x-value that solves the system 4x-y=21 and y=3x-7
Answer:
x=14
Step-by-step explanation:
4x-y=21
y=3x-7
Substitute the second equation in for y in the first
4x - (3x-7) = 21
Distribute the minus sign
4x -3x +7 = 21
x +7 = 21
Subtract 7 from each side
x+7-7=21-7
x=14
Answer: x=14 is right answer
4x-y=21 =
Slope = 4
x-intercept = 21/4 = 5.25000
y-intercept = 21/-1 = -21.00000
y=3x-7 =
Slope = 6.000/2.000 = 3.000
x-intercept = 7/3 = 2.33333
y-intercept = -7/1 = -7.00000
Step-by-step explanation:
Step 1 :
Equation of a Straight Line
Graph of a Straight Line
Calculate the Y-Intercept
Calculate the X-Intercept
Calculate the Slope
Hope this helps.
Which graph shows a solution to the following system?
{ x -y ≥ -1
{ x+y ≤ 0
Answer:
That's the answer attached, whatever answer matches up with it is correct.
Step-by-step explanation:
Find the range for the following data: 40 , 52 , 48 , 20 , 68 , 100 , 99
Answer:
80
Step-by-step explanation:
The range is the largest number minus the smallest number
100 -20
80
a(b-x)=cx
make x the subject of formular
Answer:
×=
[tex] \frac{ab}{?c + a} [/tex]
Answer:
x = [tex]\frac{ab}{c+a}[/tex]
Step-by-step explanation:
a(b-x) = cx
ab - ax = cx
ab = cx + ax
ab = x (c + a)
divide both sides by (c + a) for x to stand alone
x = ab/ c + a
A rectangular pyramid has a volume of 1.512in, a height of 12 in., and a base length of 21 in. What is the width of its buse?
2 in.
6 in.
12 in
18 in.
Help pls!!!!!Last question I need
hurry please
What is the value of 12 Superscript 0?
Answer:
the answer is 1
Step-by-step explanation:
anything to the 0th power is 1
Answer:
The answer you are looking for is 1
Step-by-step explanation:
Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.
Please tell me if it is correct using the ratings or thanks
In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?
Answer:
tan ∠L = 65/72
Step-by-step explanation:
The tangent ratio is:
tan of angle x = opposite/adjacent
Looking from the perspective of angle L, find the opposite side.
This side is MN, measuring 65 units.
opposite = 65
Now let's find the adjacent side.
This side is LN, measuring 72 units.
adjacent = 72
Therefore, the tangent ratio of angle L is 65/72.
Answer:
65/72
Step-by-step explanation:
$900,000 is what percent of $900,000?
Answer:
It is 100 percent.
Step-by-step explanation:
Since the two numbers are identical, it is 100 percent.
If g = 2; 4g = 32 true or false
Answer:
false
Step-by-step explanation:
4 x (2) = 8
Answer:
False
Step-by-step explanation:
What you need to do is plug 2 in for g.
4g=32
4(2)=32
8=32
This is incorrect, so it is false.
Evaluate each series
Answer:
solution is 147
work is shown
Wegnerkolmp2741o Plz answer
The best shooters in the NBA make about 90% of their free throws (shots from the line). If a player took 20 shots, what number of those shots would you expect to go in?
Answer:
18 shots
Step-by-step explanation:
By criss cross method
100% -> 20 shots
90% - >?
[tex]answer = \frac{90 \times 20}{100} = 18[/tex]
Hope this helps...
Answer:
18
Step-by-step explanation:
Take the number of shots times the probability that they will go int
20 * 90%
Change to decimal form
20 *.90
18
18 of the shots would be expected to go in
a Fair coin is tossed 4 times. What is the probability of not getting all heads?
Answer:
15/16
Step-by-step explanation:
The probability of not getting all heads is
1 - P(all heads)
P (all heads) =P(heads) * P(heads)* P(heads) * P(heads)
1/2* 1/2 * 1/2 * 1/2 = 1/16
1 - 1//16 = 15/16