Answer:
10 inches
Step-by-step explanation:
The length of the playground in its actual size is 120 feet.
The scale drawing uses a scale of 1 inch to 12 feet.
This means that 1 inch in the drawing equals 12 feet in actual size.
Therefore, the length of the playground on the scale drawing is:
1 inch = 12 feet
x = 120 feet
Cross-multiply:
120 * 1 = 12 * x
=> x = 120 / 12 = 10 inches
The length of a side of the playground on the scale drawing is 10 inches.
Find the area of a circle with the given equation.
(x-7)2+(y + 9)2 =137
Answer: 137π
The usual formula for a circle centered at (a,b), with radius r,
(x - a)² + (y - b)² = r²
The area of the circle is πr², so 137π
Given the points C(5, -1) and D(-5, 3), find the coordinates of the point P on directed line segment CD that partitions segment CD such that the ratio of CP to PD is 1:3
Answer:
(2.5 , 0)
Step-by-step explanation:
Given points C and D. the coordinates of point P that partitions CD such that CP:PD=m:n can be calculated using the formula:
[tex]x=(\dfrac{m}{m+n})(x_2-x_1)+x_1$ , y=(\dfrac{m}{m+n})(y_2-y_1)+y_1\\\\$Now, (x_1,y_1)=C(5,-1), (x_2,y_2)=D(-5,3),$ m:n=1:3\\Therefore:\\x=(\dfrac{1}{1+3})(-5-5)+5\\=(\dfrac{1}{4})(-10)+5\\=\dfrac{-10}{4}+5\\\\x=2.5[/tex]
Similarly:
[tex]y=(\dfrac{1}{1+3})(3-(-1))+(-1)\\=(\dfrac{1}{4})(4)-1\\=1-1\\y=0[/tex]
Therefore, the coordinates of P is (2.5,0)
HELP ASAP I WILL GUVE YOU THE POINTS !!!!
This figure is made up of a
rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do
not round any sides.
Answer: 52
Step-by-step explanation:
Below is a histogram of the number of points the LA Rams scored each game last season. Based on the data, what is the probability the Rams scored at least 20 points?
A)31.25%
B)35.7%
C)50%
D)62.5%
E)66.7%
Answer:
The probability the Rams scored at least 20 points is 62.5%
Step-by-step explanation:
Data form histogram:
No. of points No. of games
0-9 2
10-19 4
20-29 5
30-39 3
40-49 2
Now we are supposed to find the probability the Rams scored at least 20 points
So, we are supposed to find the probability the Rams scored 20 or more than 20
So, Total no. of games = 2+4+5+3+2=16
No. of games where score is 20 or more than 20 =5+3+2 = 10
So, the probability the Rams scored at least 20 points = [tex]\frac{10}{16}=0.625[/tex]
So, the probability the Rams scored at least 20 points is 62.5%
Hence Option D is true .
An ice cream factory makes 250 quarts of ice cram In 5 hours. How many quarts could be made in 36 hours? What was that rate per day?
Answer:1900 in 36 hours and 1200 in 24 hours
Step-by-step explanation:
Find how many they can make in an a hour first. 250 divided by 5. That makes 50. Multiply that by the amount of hours
Else made enough strawberry jam to fill 4 1/3 jars. If she made 3 times as much apricot jam as strawberry jam, how many jars of jam did she make altogether?
Answer:
17 1/3
Step-by-step explanation:
Total number of Jar she make is [tex]17\frac{1}{3}[/tex] jar
Numbers based sums:Given that;
Number of strawberry jam jar = [tex]4\frac{1}{3}[/tex] jars
Number of apricot jam jar = 3(Number of strawberry jam jar)
Find:
Total number of Jar she make
Computation:
Given problem is Sum base problem.
Number of apricot jam jar = 3(Number of strawberry jam jar)
Number of apricot jam jar = 3([tex]4\frac{1}{3}[/tex])
Number of apricot jam jar = 3(13/3)
Number of apricot jam jar = 13 jar
Total number of Jar she make = (13/3) + 13
Total number of Jar she make = [tex]17\frac{1}{3}[/tex] jar
Find out more information about 'Sum based problem':
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???????????????????? thanks for answering it
Answer:
A
Step-by-step explanation:
Because the x's domain has whole numbers from 0-10
Answer:
Domain is whole numbers from 0 to 10
Step-by-step explanation:
The domain is the inputs to the function
Since the inputs are discrete ( dots)
Domain is whole numbers from 0 to 10
Need help with a system of equations
Answer:
[tex] \boxed{x - y = -2\sqrt{7}} [/tex]
Given:
[tex]x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7} [/tex]
Step-by-step explanation:
[tex] = > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7} [/tex]
Identity used:
[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Answer:
-2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
[tex]x^{4} - y^{4} = -176\sqrt{7} \\(x^{2} + y^{2})(x^{2} - y^{2} ) = -176\sqrt{7} \\(x^{2} - y^{2} )= \frac{-176\sqrt{7}}{22} \\(x + y)(x - y) = -8\sqrt{7}\\ x - y = \frac{-8\sqrt{7}}{4} = -2\sqrt{7}[/tex]
If the volume of the figure below is 4,069.44ft3 find the missing dimension
Answer:
x = 9 ft
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the radius is x
4069.44 = pi x^2 16
Divide each side by 16 pi
4069.44 / 16 pi = x^2
Using 3.14 for pi
81 = x^2
Take the square root of each side
sqrt(81) = sqrt(x^2)
x = 9
PLEASE HELP ME JUST 1 QUESTION!
I IWLL GIVE 5 STARS/BRAINLIEST/THANKS
Answer: The answer is 2/1 or 2
Step-by-step explanation:
This is because you take one point on the line and then go up how many spaces to the next point on the line.
The volume of an ice cream cone is about
3
65.94 cm
If the radius of the cone is
3 cm, what is the height of the cone? Use
3.14 for
T.
Answer:
h = 7 cm
Step-by-step explanation:
Formula
[tex]V=\frac{1}{3}\pi r^{2} h\\ \\65,94cm^{3} =\frac{1}{3}*3,14*9*h\\ \\197,82=28,26*h\\\\h=197,82:28,26\\\\h=7~cm\\\\al3xis[/tex]
3. What sugar distinguishes RNA from DNA?
A ribose
Buracil
C cellulose
Dlactose
Answer:
A) Ribose
^^Hope this helps!
Answer:
the answer is ribose
Step-by-step explanation:
ribose nucleic acid , deoxyribose nucleic acid
Which of the following math skills are useful in planning an effective budget?
Estimating
Organizing data
Finding perimeter and area
Finding averages
Data gathering
Answer:
All the above can be the math skills useful in planning an effective budget.
HELPPPPPP PLZ. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Answer:
About 238.07 miles
Step-by-step explanation:
The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side. Therefore:
[tex]\tan 38=\dfrac{186}{x} \\\\x=\dfrac{186}{\tan 38}\approx 238.07[/tex]
Hope this helps!
It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take to run 9 laps?
Answer:
it should take her 45 minutes to run 9 laps
Step-by-step explanation:
40/8 = 5
9*5 = 45
Animal A and Animal B each have 95% of their DNAin common. Animal A and Animal C each have 50% of their DNA in common. What does this suggest about the relationship of these animals? C is probably much more closely related to B than to A. A is probably much more closely related to B than to C. B is probably much more closely related to C than to A. A is probably much more closely related to C than to B.
Answer:
A is probably much more related to B than to C
How would you explain function notation to a friend?
Many students seem puzzled by function notation well after it has been introduced, and ask “why can’t we just write
y = 3x instead of
f(x) = 3x ?”. To motivate the use of function notation and improve understanding, I advocate using multi-variable functions instead of single-variable functions in introducing this notation. My introduction usually proceeds something like this:
Step-by-step explanation:
What are the key features of the equation y = (x + 12)(x + 6)?
Which is the correct answer:
A. ) The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
B.) The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 6). The vertex is an absolute minimum, (–9, –9).
C.) The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute maximum, (–9, –9).
D.) The x-intercepts are (12, 0) and (6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
Answer:
The answer is option A
The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
Hope this helps.
Dr. Khan is combining a 20% acetic acid solution with a 60% acetic acid solution. She wants to obtain 10 liters of a 40% acetic acid solution, how many liters of the 20% acetic acid solution does Dr. Khan need to create the 40% acetic acid solution?
Answer:
Dr Khan will add 5 liters of 20% acetic acid solution.
Step-by-step explanation:
Dr Khan is combining two solutions of acetic acid with the given concentrations of 20% and 60% respectively.
Let the amount of 20% acetic acid, he added to get 10 liters of 40% solution = 'a' liters
Volume of 60% solution used will be = (10 - a) liters
Now the equation will be,
Amount of solution (1) × 20% + Amount of solution (2) × 60% = Amount of final solution × 40%
[tex]a\times \frac{20}{100}+(10-a)\times \frac{60}{100}=10\times \frac{40}{100}[/tex]
20a + 60(10 - a) = 400
20a + 600 - 60a = 400
600 - 40a = 400
40a = 600 - 400
a = [tex]\frac{200}{40}[/tex]
a = 5 liters
Therefore, Dr Khan will add 5 liters of acetic acid to get 40% acetic acid solution.
Solution:
Let the amount of 20% acetic acid, he added to get 10 liters of 40% solution = 'a' liters
Volume of 60% solution used will be = (10 - a) liters
Equation will be,
Amount of solution (1) × 20% + Amount of solution (2) × 60% = Amount of final solution × 40%
a*20/100+(10-a)*60/100=10*40/100
20a + 60(10 - a) = 400
20a + 600 - 60a = 400
600 - 40a = 400
40a = 600 - 400
a=200/40
a = 5 liters
Thus, Dr Khan need to create 5 liters of acetic acid to get 40% acetic acid solution.
Learn more :
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On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function curves up into the first quadrant. It goes through (0, 3), (0.5, 5), (1, 10), (1.5, 23), (2, 50). The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0? The graph will increase at a slower rate. The graph will show a decreasing, rather than increasing, function. The graph will show an initial value that is lower on the y-axis. The graph will increase at a constant additive rate, rather than a multiplicative rate.
Answer:
The graph will show an initial value that is lower on the y-axis
Step-by-step explanation:
The exponential function has the next general form:
[tex]y = ab^x [/tex]
where a is the initial amount and b is the base.
If the a value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.
Answer: The graph will show an initial value that is lower on the y-axis
Step-by-step explanation: i got it right on edge!
Were the southern states justified to leave the USA?
Answer:
The south had no justified reason to secede from the union.
Step-by-step explanation:
The south had no justified reason to secede from the union. They were still bound to the constitution, had no legal right to secede, and broke numerous laws such as forming an illegal alliance and attacking the United States (at Ft. Sumter). The constitution was created as the basis of the United States government.
So many pointssss help meeeee
Ashley is comparing three investment accounts offering different rates.
Option A: APR of 4.95% compounding monthly
Option B: APR of 4.85% compounding quarterly
Option C: APR of 4.895% compounding daily
She would like to earn at least a 5% annual yield. Which account(s) will give Ashley the yield
she wants?
A. Options A and B only
B. Option B only
C. Options A and C only
D. Option C only
A standard six sided dice is rolled. What is te probability of rolling a 3 OR a 5
A) 1/12
B) 1/3
C) 1/36
D) 1/24
Answer:
1/3
Step-by-step explanation:
Rolling a die has the possible outcomes of 1,2,3,4,5,6 = 6 total
P(3 or 5) = number of 3 or 5's / total
= 2/6
= 1/3
Answer:
Answer:
1/36
Step-by-step explanation:
Getting a 3 is 1/6
Getting a 5 is 1/6
Multiply those and get 1/36
Please help . thank u
can someone help with probability
Answer:
yes sure continue with questions
Answer:
1/2
Step-by-step explanation:
with one dice the probability is 1/6 as equal chances for each number from 1 to 6
with 3 dices it is 3 times more: 3*1/6= 1/2
I need help on this.
Answer:
Step-by-step explanation:
Answer:
18 cubic units
Step-by-step explanation:
There is 12 cubes on the bottom layer and 6 on top layer. Adding those two number together, give you a total 18 cubic units.
The distance between port M and port N is 162m. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answer:
900 min = 15 hours
Step-by-step explanation:
when we convert the velocities of the ships into miles/ min we get
45mph = 45m/60min = 0.75m/min
36mph = 36m/60min = 0.6m/min
The equations determining the distances of the ships from the port M (set at x=0) are
D1 = 0.75t (for 45mph ship)
D2 = 162 + 0.6(t-45) (for 36mph ship)
The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.
Find the surface area of the following figure.
164.7 in2
179.6 in2
246.8 in2
203.5 in2
Answer:
164.7 in2
Step-by-step explanation:
Solve for surface area
Shape: Pyramid
Formula: L*W*H
A≈167.13 round to the nearest ten = 164.7 in2
The correct answer to this question is 164.7 in2
So A is the correct answer
Hope this helps.
Answer3.9
3. Elizabeth buys 2 drinks. She has
a coupon for $0.75 off. How much
must Elizabeth pay?
Answer:
How much do the drinks cost? Add them together and take away .75
Step-by-step explanation:
Calculate the sum 2/9+5/9
Answer:
7/9
Step-by-step explanation:
since they have a common denominator, you could just add 2 and five together to get 7.
Answer:
[tex]\frac{7}{9}[/tex]Step-by-step explanation:
[tex]\frac{2}{9}+\frac{5}{9}[/tex]
[tex]\frac{2+5}{9}[/tex] When you have the same denominator you just have to add the numbers above
= [tex]\frac{7}{9}[/tex] This is the answer.
I hope this help you :)