Answer:
hope this helps and make me brainliest
Step-by-step explanation:
. You have that:
- The homeowner want the length of the swimming pool to be 4 feet longer than its width.
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
The image shows a circle with center (4,6) and radius 10 units.
Answer:
A, B, D, E
Step-by-step explanation:
Every point is on the circle except for the middle one
The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.
What is the equation of a circle?Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,
(x - 4)² + (y - 6)² = 10²
(x - 4)² + (y - 6)² = 100 .......1
Substitute (-4, 12) in equation 1, then we have
(-4 - 4)² + (12 - 6)² = 100
100 = 100
Substitute (-6, 6) in equation 1, then we have
(-6 - 4)² + (6 - 6)² = 100
100 = 100
Substitute (13, 10) in equation 1, then we have
(13 - 4)² + (10 - 6)² = 100
97 ≠ 100
Substitute (-4, 12) in equation 1, then we have
(4 - 4)² + (16 - 6)² = 100
100 = 100
If the equation is satisfied, then the point lies on the circle.
More about the equation of the circle link is given below.
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what is the answer ?
Answer:
19/60 or .317
Step-by-step explanation:
C = 95/300
95/300 = 19/60
19/60 = .317
Jay rode his bicycle 10 blocks. This is 40% of the way
from his home to school. How many blocks is it from
Jay's home to sschool?
Answer:
25
Step-by-step explanation:
multiply 10 times 100
divide that by 40
A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. if the mean of the sample is 18.7, what is the 95% confidence interval for the population mean? 18.7 ± 5.9 18.7 ± 9.7 18.7 ± 11.6 18.7 ± 15.2
If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.
Confidence intervalz-score for 95% confidence interval =1.96
Lower limit of the interval:
Lower limit=Sample mean-(Z-score×Margin of error)
Lower limit=18.7-(1.96×5.9)
Lower limit=18.7-11.564
Lower limit=18.7-11.6 (Approximately)
Upper limit of the interval:
Upper limit=Sample mean+(Z-score×Margin of error)
Upper limit=18.7+(1.96×5.9)
Upper limit=18.7+11.564
Upperr limit=18.7+11.6 (Approximately)
Hence:
Confidence interval= 18.7 ± 11.6
Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.
Learn morer about confidence interval here:https://brainly.com/question/15712887
Answer:
18.7 ± 11.6
Step-by-step explanation:
The answer above is correct.
One angle of a parallelogram measures 20 what are the measures of the other three angles in the parallelogram
Answer:
160°, 20° and 160°[tex] \: [/tex]
Step-by-step explanation:
Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D
So, If ∠A = 20°, then So, also ∠C = 20°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠C is 20°⠀
And, ∠A and ∠B are adjacent angles. We know,
Sum of two adjacent angles = 180°So,
⇒ ∠A + ∠B = 180°
⇒ 20° + ∠B = 180°
⇒ ∠B = 180° – 20°
⇒ ∠B = 160°
So,
The measure of ∠B = 160°⠀
So, If ∠B = 160°, then So, also ∠D = 160°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠D is 160°∠A ≅ ∠ _____. .A m .B n .C c .D AB
Answer:
M
Step-by-step explanation:
Option A M is answers
I hope it helped you
solve the inequality 5(2x+8)<60
Answer:
x < 2
Step-by-step explanation:
5(2x + 8) < 60 ( divide both sides by 5 )
2x + 8 < 12 ( subtract 8 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
Answer:
[tex]\huge\boxed{\bf\:x < 2}[/tex]
Step-by-step explanation:
[tex]5(2x + 8) < 60[/tex]
Multiply 5 by 2x & 8 in the right hand side of the inequality .
[tex]5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\[/tex]
Bring 40 to the other side of the inequality .
[tex]10x + 40 < 60\\10x < 60 - 40\\10x < 20[/tex]
Bring 10 to the left side of the inequality .
[tex]10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
How many ways can Caroline choose 6 courses of any type? How many ways can Caroline choose 6 courses of any type?
Answer:
6 ways she can choose a course
Tiana lives 5/8 mile away from school. She walks halfway to school. How many
miles does she walk?
Answer:
5/16 mile
Step-by-step explanation:
5/8 * 1/2 = 5/16 mile
Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. What is the rate of change in worldwide temperatures per year?
Answer:
the answer should be 0.05 degrees every year
rate brainliest
round answer to nearest hundreth
Answer:
10
Step-by-step explanation:
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Answer:
a. square pyramid b. sphere d.triangular pyramid
Answer: a= Square Pyramid, b= Sphere, d= Triangular Pyramid
Step-by-step explanation:
Evaluate the expression below: 3 5 • 1 4
Answer:
35 x 14 = 490
Step-by-step explanation:
What are the solutions of the following system? startlayout enlarged left-brace 1st row x squared y squared = 25 2nd row 2x y = 25 endlayout (0, –5) and (–5, 5) (0, –5) and (5, –15) (0, –5) and (–4, 3) (0, –5) and (4, –13)
The quadratic equation has no real roots. This means the line and point has no point of intersection.
System of equationsSystem of equations are equations that is more than one and have two or more unknowns.
Given the simultaneous equation
x^2 + y^2 = 25
2x + y = 25
from equation 2;
y = 25 - 2x ................3
Substitute equation 3 into 1 to have:
x^2 + (25-2x)^2 = 25
x^2 + 625 - 100x + 4x^2 = 25
5x^2 -100x + 600 = 0
x^2 -20x + 120= 0
Hence the quadratic equation has no real roots. This means the line and point has no point of intersection,
Learn more on system of equation here: https://brainly.com/question/25976025
Answer:
C on edge
Step-by-step explanation:
(0,-5) and (-4,3)
what unit is beat yo use in measuring the vulome of water in a rectangular pool?
Answer: An example is m³
Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³
I need help with this what do these symbols mean
Answer:
the star is 4 and the moon shaped is 7
Step-by-step explanation:
the stars have to be an equal amount and 1 plus moom= the 2 stars that have the same amount
and 3+4 = 7
so if you do 7+1 = 4+4
y = (3x)2 + 17
when x = 2
Answer:
y = 29
Step-by-step explanation:
y = (3x)2 + 17
y = (3(2))2 + 17
y = (6)2 + 17
y = 12 + 17
y = 29
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
√(12) - √(27)
[tex]\sqrt{12} - \sqrt{27}\\\\=\sqrt{4 \times 3} - \sqrt{9 \times 3}\\\\=2\sqrt 3 - 3\sqrt 3\\\\=-\sqrt 3[/tex]
It is recommended that people eat
20,000 mg of fiber each day. Julie ate a
cup of strawberries that had 4 grams of
fiber and a cup of oatmeal that had 5
grams of fiber. How many more grams of
fiber does she need to get the
recommended daily amount of fiber?
Answer:
First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams. If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber
Step-by-step explanation:
1. Convert Mg to G
2. Add the amount of Grams she has already eaten.
3. Subtract the sum from twenty and multiply the difference by 1,000.
Sydney’s cat is 8% heavier than Greg’s cat, and Jackie’s cat is 25% lighter than Greg’s cat. By what percent is Sydney’s cat heavier than Jackie’s?
PLEASE HELP!!!
Answer:
look at the attached image
Which rule represents the table's (down below) values?
A) y=3x+1
B) y=2x+11
C) y=3x-1
D) y=4x-15
X Y
12 35
13 38
14 41
15 44
16 47
Answer:
C
Step-by-step explanation:
Substitute the x-values into the the equation y=3x-1 and they will all give you the same y-values that are given in the table.
a plane cuts through a cone parallel to its base. what shape is it now.
Answer:
When the plane cuts the cone at an angle between a perpendicular to the axis (which would produce a circle) and an angle parallel to the side of the cone (which would produce a parabola), the curve formed is an ellipse.
Step-by-step explanation:
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What two integers does sqrt41 fall between? explain reasoning
Answer:
Below!
Step-by-step explanation:
Given square root:
[tex]\sqrt41[/tex]
Let's note a few perfect square roots.
[tex]1 = \sqrt{1 \times 1} = \sqrt{1}[/tex]
[tex]2 = \sqrt{2 \times 2} = \sqrt{4}[/tex]
[tex]3 = \sqrt{3 \times 3} =\sqrt{9}[/tex]
[tex]4 = \sqrt{4 \times 4} =\sqrt{16}[/tex]
[tex]5 = \sqrt{5 \times 5} =\sqrt{25}[/tex]
[tex]6 = \sqrt{6 \times 6} =\sqrt{36}[/tex]
[tex]7 = \sqrt{7 \times 7} =\sqrt{49}[/tex]
[tex]8 = \sqrt{8 \times 8} =\sqrt{64}[/tex]
And so on...
When looking at the perfect square roots we identified, we can say that:
[tex]\sqrt{36} < \sqrt{41} < \sqrt{49}[/tex]
Therefore,
[tex]6 < \sqrt{41} < 7[/tex]
We can conclude that [tex]\sqrt{41}[/tex] is between 6 and 7.
Let's check the squares of first 10 number
1²=12²=43²=94²=165²=256²=367²=498²=649²=8110²=10041 lies between 36 and 49
Hence
√41 lies in between 6 and 77j+8s=455 what do j and s equal?
Answer:
[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]
Step-by-step explanation:
[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]
Members of a student council are designing a school float for a parade. They decide to poll 10% of the student body to get feedback about the theme they have chosen. What would most likely happen if they decided to randomly sample 5% of the student body instead? A. The sample proportion would less closely model the population proportion. B. The sample proportion would more closely model the population proportion. C. The sample proportion would not be affected. D. There is not enough information to determine how the sample proportion would be affected.
Answer:
B. The sample proportion would less closely model the population proportion.
Step-by-step explanation:
if they chose 10% and changed it to 5% theres gonna be less data to go by.
The sample proportion would less closely model the population proportion.
Option A is the correct answer.
What is random sampling?Random sampling is a statistical method of selecting a sample from a larger population in a way that every individual in the population has an equal chance of being selected.
In other words, random sampling is a process of selecting a subset of individuals from a population in which every member of the population has an equal chance of being chosen.
This helps to reduce bias and increase the likelihood that the sample represents the population accurately.
Random sampling is commonly used in research studies, opinion polls, and market research to draw conclusions about a population based on a smaller sample.
We have,
When the sample size is smaller, there is a higher chance of the sample being unrepresentative of the population, resulting in a larger sampling error.
Therefore, if the student council decided to sample only 5% of the student body instead of 10%, it is more likely that the sample proportion would be less accurate and less closely model the population proportion.
Thus,
The sample proportion would less closely model the population proportion.
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Use the Pythagorean theorem to solve for d. Enter the answer in simplest form.
Need help ASAP!
Answer: 12 units
Step-by-step explanation:
Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.
6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12
d = 12
Answer:
d = 12
Step-by-step explanation:
multiply 6√2 by √2
since they are congruent angles (angles that have equal measure).
solve for the missing side. round to the nearest 10th. (look at image below) pls & thank u! <3
Answer:
21.4
Step-by-step explanation:
a^2+b^2=c^2
13^2+17^2=c^2
169+289=c^2
458=c^2
squrt 458=c^2
21.4=c
The Jordan family budgeted 16% of their disposable annual income of $44,000 for food, but found they needed $35 more per week. How much of their income should now be added to their food budget?
$1,587. 00
$1,820. 00
$1,924. 00
$2,042. 00
None of these choices are correct
Multiplication is the process of multiplying two numbers. The amount that is needed to be added to the income is $1,820.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Jordan's family needs to add $35 more per week to their food budget, Since a year has 52 weeks, therefore, the amount that is needed to be added by Jordan's family is,
[tex]\rm Amount\ Needed = \$35 \times 52 = \$1,820.00[/tex]
Hence, the amount that is needed to be added to the income is $1,820.
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From a speed of 80 feet per second, a car begins to decelerate. The rate of deceleration is 16 feet per square second. How many feet does the car travel before it stops
Answer:
240 feet
Step-by-step explanation:
hope this helps :)
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
18° and 39°
23° and 67°
43° and 47°
65° and 25°
Answer:
B
Step-by-step explanation:
Remark
The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.
The second longest line is opposite the second largest angle
Sin(A) = opposite / hypotenuse
Solution
Sin(A) = 12 / 13 = Opposite / hypotentenuse
opposite = 12 12 is the second longest linehypotenuse = 13Sin(A) = 0.9231 12/13 = 0.9231
A = sin-1(0.9231) Take the inverse sine of 0.9231
A = 67 rounded
Therefore then angle opposite the shortest side must be 90 - 67 = 23
Answer: 67 and 23