Answer:
201.1ft²
Step-by-step explanation:
The area of the circle is 200.96 ft².
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Circumference of a circle = 2πr
This means,
2πr = 50.27 ft
π = 3.14
r = 50.27 / 2 x 3.14
r = 50.27 / 6.28
r = 8.005 ft
r = 8 ft
Now,
The area of the circle.
= πr²
= 3.14 x 8²
= 3.14 x 8 x 8
= 3.14 x 64
= 200.96 ft²
Thus,
The area of the circle is 200.96 ft².
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pls answer quick i will mark brainiest
Jordan is using the calculator to find the value of 785 ÷ 5. What key on the calculator should he press first?
Final answer:
To calculate 785 ÷ 5, Jordan should press the 7 key first, followed by the rest of the digits, the division key, and then 5, concluding with the equals key to get the result.
Explanation:
Jordan should start by pressing the 7 key on the calculator to begin inputting the number 785 in this equation, 785 ÷ 5. As with most calculators, entries are made in the same order they appear in the equation. After entering the entire number 785, Jordan should then press the division (÷) key, followed by the number 5, and finally the equals (=) key to obtain the result.
Which system of equations has infinitely many solutions?
(A) 4 x + 2 y = 5. Negative 4 x minus 2 y = 1.
(B) Negative 10 x + y = 4. 10 x minus y = negative 4.
(C) Negative 8 x + y = 2. 8 x minus y = 0.
(D) Negative x + 2 y = 6. 7 x minus 2 y = 12.
Answer:
B
Step-by-step explanation:
-10x+y=4
10x-y=-4
the second equation is (-1)*the first equation
Answer:
its B
Step-by-step explanation:
Following a severe snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk.Ken can clear the snow by himself in 3 hours, and Bettina can clear the snow by herself in 4 hours. After Bettina has been working for 1 hour, Kane is able to join her. How much longer will it take them working together to remove the rest of the snow?
Using the concept of work rates of Ken and Bettina, it will take Bettina and Ken an additional 1 hour and 17 minutes to remove the rest of the snow.
Ken's work rate = 1 job / 3 hours = 1/3
Bettina's work rate = 1 job / 4 hours = 1/4
The proportion of work completed by Bettina working alone for 1 hour = 1/4
The proportion of work remaining for Bettina = 3/4 (1 - 1/4)
The combined work rate of Ken and Betetina = Ken's work rate + Bettina's work rate
Combined work rate = 1/3 + 1/4 = 4/12 + 3/12 = 7/12
Based on the combined work rate, we can find the time it takes for them to clear the remaining 3/4 of the snow:
Time = Job / Combined work rate Time = (3/4) / (7/12) = (3/4) * (12/7) = 9/7
Thus, we can conclude that it will take Bettina and Ken an additional 9/7 hours to remove the rest of the snow when working together, which is approximately 1 hour and 17 minutes.
how is finding 40% of 300 similar to finding 2/5 of 300?
Answer:
because 40% = 2/5
Step-by-step explanation:
how is finding 40% of 300 similar to finding 2/5 of 300?
because 40 % = 40/100 = 4/10 = 2/5 which is 2/5
and 40% * 300 = (2/5) * 300
since (2/5) * 300 = (2/5) * 300
Eric is looking to go shopping, as he knows he needs more ties and shirts. Eric is looking for his ties and discovers that he currently has 20 shirts for every 2 ties. If he goes shopping and buys 3o more shirts and now has 50 shirts, after buying more ties, how many would he have if he wanted to keep the original ratio of shirts to ties the same?
For 20 shirts Eric has
20×2=40 ties
After shopping Eric has 50 shirts
So
20 shirts 50 shirts
40 ties x ties
[tex] \frac{20}{40} = \frac{50}{x} \\ x = \frac{50 \times 40}{20} \\ x = 100[/tex]
Answer: He would have 100 ties
2 wayIf he has 2 ties for 1 shirt he will have
2×20=40 ties for 20 shirts, so for 50 shirts ge would have
50×2=100 ties
Answer: He would have 100 ties
Answer
5 ties, as the equivalent ratio would be 50:5, meaning 50 shirt to 5 ties
Step-by-step explanation: What should have been recognized is that if 20 shirts align to 2 ties, that means that for every ten shirts you would have 1 tie. The ratio doesn't change. That means that if you have 30 shirts you would have 3 ties, and 40 shirts you would have 4 ties. The common multiples are 10 and 1, and are originally introduced through 20 and 2. The reality is from the standpoint of unit rate, for every 10 shirts you have 1 tie. You simply just had to multiply once understanding this.
Two lines are perpendicular if
A. They cross eachother
B. one slope is the negative reciprocal of the other
C. one slope is the negative of the other
D. they are negative reciprocals
How many 2/3 cup servings are in 28/3 cups of yougurt
Answer:
14 servings
Step-by-step explanation:
It seems that we have to divide the total servings amount of yogurt by the 2/3 cup servings.
So take 28/3 divide it by 2/3
28/3 * 3/2 because we can change division to multiplication when inverting the fraction of divisor.
28/3 * 3/2 = 28/2 = 14
How do you factor 6x2 + 11x + 3
Answer:
(3x + 1) (2x + 3)
These are the factors of 6x2 + 11x + 3
Step-by-step explanation:
Math Term Definition. Factor. To factor a number means to break it up into numbers that can be multiplied together to get the original number. EXAMPLES: 6 = 3 x 2 so, factors of 6 are 3 and 2 9 = 3 x 3 so, factors of 9 are 3 and 3 Sometimes, numbers can be factored into different combinations.
Over a 5-day period. the value of a stock has a total change of -4.35. What was the average change per day?
The average pulling force that a sample of 1000 springs could take and still be able to spring back was 200 lbs with a standard deviation of 3 lbs. If the distribution follows a normal curve, which of the following is NOT true?
Answer:
About 950 springs could withstand between 194 and 206 lbs of force.
Step-by-step explanation:
Answer:
About 950 springs could withstand between 194 and 206 lbs of force.
Step-by-step explanation:
49 kilometers in 3 minutes =
kilometers in 6 minutes
Answer:
98
Step-by-step explanation:
When you set it up like this 49/3 (blank)/6 3 x 6 is 2 so 49 x 2 is 98
The angle measurements in the diagram are represented by the following expressions.
Given:
[tex]\angle A=5 x-12^{\circ}[/tex]
[tex]\angle B=2 x+24^\circ[/tex]
To find:
The value of x and measure of angle B
Solution:
Alternate interior angle theorem:
If two parallel lines cut by a transversal, then the alternate interior angles are congruent.
⇒ m∠A = m∠B
[tex]\Rightarrow 5 x-12^{\circ}=2 x+24^{\circ}[/tex]
Add 12° on both sides.
[tex]\Rightarrow 5 x-12^{\circ}+12^{\circ}=2 x+24^{\circ}+12^{\circ}[/tex]
[tex]\Rightarrow 5 x=2 x+36^{\circ}[/tex]
Subtract 2x from both sides.
[tex]\Rightarrow 5 x-2x=2 x+36^{\circ}-2x[/tex]
[tex]\Rightarrow 3x=36^{\circ}[/tex]
Divide by 3 on both sides.
[tex]$\Rightarrow\frac{3x}{3} =\frac{ 36^{\circ}}{3}[/tex]
⇒ x = 12°
Substitute x = 12° in ∠B.
m∠B = 2x + 24°
= 2(12°) + 24°
= 24° + 24°
= 48°
The measure of ∠B is 48°.
Mattie Evans drove 180 miles in the same amount of time that it took a turbopropeller plane to travel 630 miles. The speed of the plane was 150 mph faster than the car.
Answer:
the speed of the plane was 210 mph.
Step-by-step explanation:
Final answer:
The speed of Mattie Evans' car was 60 mph and that of the plane was 210 mph.
Explanation:
The question involves solving a system of equations to find the speeds of the car and the plane. Since Mattie Evans drove 180 miles in the same amount of time that a turbopropeller plane traveled 630 miles, and the speed of the plane was 150 mph faster than the car, we can set up the equations based on the distance formula
[tex]distance = speed \times time.[/tex]
Let the car's speed be x mph. The plane's speed then will be x + 150 mph.
The time taken by both the car and the plane is the same. Therefore, we can say 180/x = 630/(x + 150).
By cross-multiplying the equation, we obtain
180(x + 150) = 630x.
Simplifying the equation, we have
180x + 27000 = 630x.
630x-180x = 27000
450x = 27000
x = 27000/450
x = 60
The speed of Mattie Evans' car was 60 mph and that of the plane was 210 mph (60+150).
What is the volume of this triangular prism?
182 m3
195 m3
210 m3
390 m3
Answer:
the answer is 195 m3
because you do 1/2 x 5 x 6 x 13= 195 m3
Estimate the perimeter of the figure to the nearest whole number.
Answer:
20
Step-by-step explanation:
the figure has 4 slope and 2 straight
so the slope using pythagorean
[tex]\sqrt{2^2+2^2}=\sqrt{8}[/tex]
[tex]4\sqrt{8}+2\times 4[/tex]
Answer: 20
Step-by-step explanation: I could be wrong...I sometimes get confused on easy questions BUT the length of the object is 4. So 4 + 4 = 8. The "width" is between 3.05 - 3.15. So 3.05 + 3.05 + 3.05 + = 12.2
8 + 12.2 = 20.6
= 20
A line has a slope of –1/ 7 and passes through the point (–7, –3). What is its equation in slope-intercept form?
Answer:
y= b - 10x
Step-by-step explanation:
find the value of B using formula for equation of a line
y=mx+b
Replace the known value for min slope y intercept form of equation
y= (-10) times x+b
simplify the slope y intercept form of the equation
y = b - 10x
Paulo tracks his commute time. The coordinate plane below shows some of his commute times in the last two weeks. The x-axis of the graph represents the number of days before today. For example, -1 minus, would represent yesterday. The y-axis represents the commute time in minutes. 2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago. At what coordinates should Paulo graph his commute time 2 days ago
Answer:-2,21
Step-by-step explanation:
The coordinates for Paulo's commute time 2 days ago are (-2, (y1+y2)/2), where y1 is the commute time 8 days ago and y2 is the commute time 9 days ago, as they represented halfway between those times.
Explanation:To find the coordinates for Paulo's commute time 2 days ago, we need first to know the commute times 8 and 9 days ago. We are told that his commute time 2 days ago was halfway between his commute times 8 and 9 days ago. We can assume for the sake of this explanation that the commute time 8 days ago is represented by the point (-8, y1) and 9 days ago by (-9, y2).
To find the average of these two times (which would give us the commute time for 2 days ago), we add y1 and y2 and then divide by 2. This gives us the average commute time (y value) two days ago. Therefore, recognizing that '2 days ago' is represented as -2 on the x-axis, the coordinates for Paulo's commute time 2 days ago would be (-2, (y1+y2)/2).
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combining like terms
-8(9+3d)
show how you got the answers
Answer:
-72 - 24d i hope this helps! :)
Step-by-step explanation:
distribute the -8 to both the 9 and the 3d
-8 * 3d = -24d
-8 * 9 = -72
-72 and -24d
Four friends go out to dinner and decide to split the bill evenly. Each friend orders a soda for $2.00, an entree for $12.99 and they all four share a desert for $7.99.How much is the total bill? How much does each friend owe?
If y varies directly as x and y-21 when x
is 7, find x when y = -5.
Step-by-step explanation:
Since, y varies directly as x:
[tex] \therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k = \frac{21}{7} = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \: \: y = - 5 \: in \: (2)\\ - 5 = 3x \\ x = \frac{ - 5}{3} \\ \: \: \: \: \: \: \huge \red{ \boxed{x = - \frac{5}{3} }}[/tex]
Answer:
X=-5/3
Step-by-step explanation:
Y=KX where k is constanty=kx21=7k divide both sides by 7to get 3then equateto get answerThe diagram represents the net of a triangular prism. Chris wants to find thesurface area.
First, finds the area of the two triangles by calculating 0.5 X 16 X 15 X 2. Next, he finds the area of the three rectangles by calculating 17 X 8 X 3. Finally, he adds the areas of the triangles and rectangles to get a total surface area of 648 square meters. Chris makes an error when finding the surface area. Identify the error Chris makes and explain how to correctly calculate the surface area. answer This is a required question
Answer:
Total Surface Area of the Prism=640 square meters
Chris made a mistake in calculating the area of the rectangular base.
Step-by-step explanation:
Dimension of the Triangle
Base=16m, Height=15m
Area of the Two triangular Faces =0.5 X 16 X 15 X 2=240 square meters
This is correct
Dimensions of the Rectangles
16m by 8m, 17m by 8m, 17m by 8m
Area of the Rectangular Faces=(17X8)+(17X8)+(16X8)=400 square meters
Total Surface Area of the Prism=240+400=640 square metersChris' Error was in calculating the area of the base of the prism as (17 x 8) instead of (16 X 8).
Answer:
640 square meters
Step-by-step explanation:
Chris made an error when calculating the area of the rectangular base. They have a different base. The area of both triangle is 240 and the area of all the rectangles is 400, 400+240=640 square meters.
Geometry, Thanks if you help! question 3
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
t² + 12² = 13²
t² + 144 = 169 ( subtract 144 from both sides )
t² = 25 ( take the square root of both sides )
t = [tex]\sqrt{25}[/tex] = 5 → A
The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). One hundred of these amounts are shown in the table below. These amounts will form the population for this question.
A random number table was used to generate the following random sample of dollar amounts:
7.43, 5.38, 6.39, 6.53, 4.72, 5.58, 3.63, 7.43, 5.29, 5.70
What is the mean of the given random sample? Round your answer to the hundredths place.
5.8
5.81
5.80
5.00
Given:
The random number table was used to generate the random sample of dollar amounts. The samples are 7.43, 5.38, 6.39, 6.53, 4.72, 5.58, 3.63, 7.43, 5.29, 5.70
We need to determine the mean of the given random sample.
Mean of the random sample:
The mean of the random sample can be determined using the formula,
[tex]Mean=\frac{\sum x_i}{n}[/tex]
Substituting the values, we have;
[tex]Mean=\frac{7.43+5.38+ 6.39+ 6.53+ 4.72+5.58+3.63+ 7.43+5.29+5.70}{10}[/tex]
[tex]Mean=\frac{58.08}{10}[/tex]
[tex]Mean=5.808[/tex]
Rounding off to the neatest hundredth, we get;
[tex]Mean=5.81[/tex]
Therefore, the mean of the random sample is 5.81
Hence, Option B is the correct answer.
What is
0.
¯¯¯¯¯¯
75
written as a fraction in simplest form?
Answer:
75/99
Step-by-step explanation:
Anything that has something repeated over and over can be put over 9's
75/99 should equal 0.75757575757575...
Line p is parallel to side BC.
Triangle A B C. Angle A is 2, angle B is 73 degrees, and angle C is 37 degrees. A line p is parallel to side B C at point A to form 3 angles. Angle 2 is angle A, and angle 1 is the exterior angle.
What is the measure of angle 1 in degrees?
Answer:
73 degrees
Step-by-step explanation:
The interior angle equals to 180. 73+37+ m<2 = 180. That means angle 2 is 70 degrees.
m<1 and m<C and equal due to alternate interior angles. That means angle 1 is 37 degrees.
We know angles 1 and 2 equal to 37 and 73. That means the angles are equal to the interior triangle. 70+37= 107. 180-107= 73 Degrees
73 is the measure of angle 1 in degrees
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Line p is parallel to side BC.
In Triangle ABC.
Angle A is 2, angle B is 73 degrees, and angle C is 37 degrees.
The interior angle equals to 180.
73+37+ m<2 = 180.
110+ m<2 = 180.
m<2 = 70
m<1 and m<C and equal due to alternate interior angles.
That means angle is 37 degrees.
m<1+m<2+37=180
37+70+m<1=180
m<1=180-37-70
m<1=73 degrees
Hence, 73 is the measure of angle 1 in degrees
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12.
The container shown has a capacity of 60 milliliters.
What fraction of it is empty?
This is an incomplete question, the image is shown below.
Answer : The fraction empty container is, [tex]\frac{7}{12}[/tex]
Step-by-step explanation :
As we are given that:
The capacity of container = 60 mL
In the given figure, the container is filled with 25 mL.
That means,
60 - 25 = 35 mL container is empty.
Now we have to calculate the fraction of it is empty.
The fraction of it is empty = [tex]\frac{\text{Capacity of empty container}}{\text{Total capacity of container}}[/tex]
The fraction of it is empty = [tex]\frac{35mL}{60mL}[/tex]
The fraction of it is empty = [tex]\frac{7}{12}[/tex]
Therefore, the fraction empty container is, [tex]\frac{7}{12}[/tex]
HELP ASAP!!! There are 18 girls and 12 boys in an 8th grade class. Two students are chosen to go on the field trip. What is the probability that both students picked are boys? (Students cannot be picked twice) Compound probability.
Answer:
(12/30)(11/29) = 22/145
Solve for x.
12 = |4x|
Answer:
x=3
Step-by-step explanation:
12/4
3
Which expression has a positive value?
(-5)(-9)
2-4
12\(-4)
-3+(-7)
Answer:
A.(-5)(-9)
Step-by-step explanation:
A negative times a negative is always a positive.
Answer:
It is A have a good day and God bless :)
Step-by-step explanation: