Answer:
Hi there!
To find the volume of the ball, we should follow this formula:
4/3*pi*r^3
Since the radius is 4, we can just plug the value in:
4/3*3.14*4^3
= 267.946667
Round to the nearest tenth:
= 267.9
Your answer is 267.9.
Hope this helps!
Answer: c
Step-by-step explanation:
The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Step-by-step explanation:
So, Start with the formula
V= pi ×R² × H
V= pi × 9² × 2
V= pi × 81 × 2
V = 162 pi in³
Then ×2 = 342 in³
required volume =162π or 508.94or 509in³
Answer:
solution given:
radius (r)=9in
height(h)=2 in
we have
volume [V]=πr²h=π×9²×2=162π or 508.94in³
whats the value of v 69 = 7v – 6
Answer:
75/7
Step-by-step explanation:
69=7v-6 rewrite as 69+6=7v
75 = 7v
75/7 = v
I'm not good with ordering fractions from smallest to largest. Can help anyone help with this problem?
D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.
The transformations that change the domain of a function are given as follows:
Horizontal shift.Dilation.Reflection over the y-axis.What is the domain of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.
Hence we must look at transformations that change the values of x of the function, which are given as follows:
Horizontal shift, which are f(x + a) and f(x - a).Dilation, which are f(ax).Reflection over the y-axis, which is f(-x).Learn more about domain and range at https://brainly.com/question/26098895
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If 180 is decreased by 75%, what is the result?
Answer: 45
Step-by-step explanation:
Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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please help i will give brainliest to one who answers
You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?5 sentences, please help i will give brainliest to one who answers
Answer:
20 ÷ 2 is 10. and since your friend you smoke $1 more they would get 11 dollars and you would get $9
Leslie is making these two recipes. Which takes
longer to make, the strawberry bread or the
spaghetti sauce? How many minutes longer
Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.
How to identify the recipe that takes the longest?To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.
Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.
So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:
10 + 90 = 100 minutes20 + 55 = 75 minutesAccording to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.
Note: This question is incomplete. Here is the complete information:
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The third term and the sixth term of A geomatric sequence are 2 and 16 respectively. Find the first term and the common ratio
The first term of the geometric sequence is 1/2 and the common ratio is 2.
What is the geometric sequence?
A geometric sequence is a sequence of numbers in which each term after the first is obtained by multiplying the previous term by a fixed number called the common ratio. The general form of a geometric sequence is:
a, ar, ar², ar³, ar⁴, ...
where 'a' is the first term, 'r' is the common ratio, and the subscripts represent the position of the term in the sequence.
Let's denote the first term of the geometric sequence by "a" and the common ratio by "r".
We know that the third term of the sequence is 2, which means that:
a * r² = 2 (1)
We also know that the sixth term of the sequence is 16, which means that:
a * r⁵ = 16 (2)
Now we can solve for "a" and "r" by dividing equation (2) by equation (1):
(a * r⁵)/(a * r²) = 16/2
Simplifying, we get:
r³ = 8
Taking the cube root of both sides, we get:
r = 2
Now we can use equation (1) to solve for "a":
a * 2² = 2
Simplifying, we get:
4a = 2
a = 1/2
Therefore, the first term of the geometric sequence is 1/2 and the common ratio is 2.
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3, 9, 4, 4, 4, 9, 9 : Calculate the value of the sample standard deviation. Round your answer to one decimal place.
In order to calculate the standard deviation, we can use the following formula:
\(\sigma=\sqrt[]{\frac{\sum ^N_i(x_i-\mu)^2}{N}}\)Where μ is the average of the sample and N is the number of elements.
So, calculating the average, we have:
\(\mu=\frac{3+9+4+4+4+9+9}{7}=\frac{42}{7}=6\)Now, using N = 7 and calculating the standard deviation, we have:
\(\begin{gathered} \sigma=\sqrt[]{\frac{(3-6)^2+(9-6)^2+(4-6)^2+(4-6)^2+(4-6)^2+(9-6)^2+(9-6)^2}{7}} \\ \sigma=\sqrt[]{\frac{9+9+4+4+4+9+9}{7}} \\ \sigma=\sqrt[]{\frac{48}{7}} \\ \sigma=2.6 \end{gathered}\)So the standard deviation is 2.6.
Please
Help see the picture
Help urgent
Answer:
y = -3x + 7
Step-by-step explanation:
To start with the slope, given by two points on the graph:
(0, 7) and (1, 4):
Let x1 = 0
x2 = 1
y1 = 7
y2 = 4
We can use the following slope formula:
\(m = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} = \frac{rise}{run}\)
\(m = \frac{(4-7)}{(1-0)} = \frac{-3}{1} = -3\)
It is a negative slope because it is sloping downwards.
Now that we have our slope, we can move on to the y-intercept, ( b ). The y-intercept is the value of y when the value of x = 0. Looking at the graph, we can see that the y-intercept is (0, 7). It is usually the point where it touches the y-axis.
Now that we have our slope (m ) and y-intercept ( b ), we can establish our linear equation in the slope-intercept form, y = mx + b:
y = -3x + 7
m grade> Y.4 Area and perimeter: word problems JFR
A rectangular garage is 6 meters wide and 7 meters long. What is its perimeter?
Answer:
26 meters
Step-by-step explanation:
To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters
Kyle lives in a state that has a 6% (or 0.06) sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables?
Group of answer choices
t = 6c
t = 0.6c
t = 0.06c
t = c + 0.06
Answer:
The answer is the 3rd option
t = 0.06c
Answer:
t = 0.06c
Step-by-step explanation:
In the equation »+2, 2y2-y+3
y-2
the value of a is:
y+1' 32-1
y-1
02
01
04
Answer:
jajaja que no te he buscado en mi hija pero si
Can someone help me find \(\frac{8}{7} = m + \frac{2}{8}\)
Answer:
m=25/28
Step-by-step explanation:
Consinder this set of expressions.3 -4. -2 + -3. -5 - 4part a: Simplfy each expression.A: 3 =B: -4 =C: -2 + -3 =D: -5 - -4=part b: graph each value on the number line. label the points.
The absolute value of a negative number is the positive of that same number. Therefore,
Part A
\(\lvert3\rvert=3\)\(-\lvert4\rvert=-4\)\(\lvert-2\rvert+\lvert-3\rvert=2+3=5\)\(\lvert-5\rvert-\lvert4\rvert=5-4=1\)part B
In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20
Find the slope of the line that contains the points ( -2, -2) and (-10, -9).
A.8/7
B.11/12
C.12/11
D.7/8
The slope of the line that passes through the given points is equal to 8/7.
Given the following data:
Points on x-axis = (-2, -10).
Points on y-axis = (-2, -9).
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Substituting the given points into the formula, we have;
Slope = (-10 - (-2))/-9 - (-2))
Slope = (-10 + 2)/(-9 + 2)
Slope = -8/-7
Slope = 8/7
In conclusion, the slope of the line that passes through the given points is equal to 8/7.
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write an exponential model given two points:
(10, 140) and (11,220)
Choose Yes or No to tell if the number 3.23 will make each equation true. 4.65 + 0 = 7.88 Choose 0 + 6.42 = 9.45 Choose v 2.85 +0= 6.08 Choose. Choose 0 +8.49 = 10.72
Let the unknown be x
1) 4.65 + x =7.88
x = 7.88 - 4.65 = 3.23
The option is yes
2) x + 6.42 = 9.45
x = 9.45 - 6.42 = 3.03
The option is No
3)2.85 + x = 6.08
x = 6.08 -2.85 = 3.23
The option is Yes
4) x + 8.49 = 10.72
x = 10.72 - 8.49 =
Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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Hey Sydney made three times as much as Cassie made. If the difference in their pay was $74 how much money did each make
Answer: Sydney made $111, Cassie made $37
Step-by-step explanation:
If Cassie's money is x, then Sydney is 3x. 3x - x = $74, so x = $37.
write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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Vertical plane X intersects horizontal plane Y. Point E is on the left half of plane Y. Point F is on the right half of plane Y. Points C and D are on the top half of plane X. Point G is on the bottom half of plane X. Points A and B are outside of the planes. Which statements are true? Select three options. There are exactly two planes that contain points A, B, and F. There is exactly one plane that contains points E, F, and B. The line that can be drawn through points C and G would lie in plane X. The line that can be drawn through points E and F would lie in plane Y. The only points that can lie on plane Y are points E and F.
Answer:
THX FOR POINT
Step-by-step explanation:
THANK YOU haha
100 POINTS!! Find the indicated angle or side. Give an exact answer.
Find the measure of angle A in degrees.
Answer:
A = 120
Step-by-step explanation:
To find angle A we will need to use the law of cosines, since we know the three sides of the triangle.
a^2=b^2+c^2−2*b*c*cosA
(2 sqrt(13)) ^2 = 6^2 + 2^2 + 2 * 6 * 2 cos A
4*13 = 36 + 4 - 24 cos A
52 = 40- 24 cos A
12 = -24 cos A
-1/2 = cos A
Take the inverse cos of each side
cos^-1(-1/2) = cos^-1(cos A)
120 = Cos A or 240 = Cos A
A cannot be greater than 180 so A = 120
Answer:
A = 120°
Step-by-step explanation:
We can use the cosine rule to solve for angle A, since lengths of all sides are known:
\(a^2 = b^2+ c^2 - 2(b)(c) \space\ cos A\)
where a, b, and c are the sides opposites angles A, B, and C respectively.
∴ a = 2√3 , b = 6, c = 2
• Rearranging the formula to make A the subject:
\(2(b)(c) \space\ cos A = b^2 + c^2 -a^2\)
⇒ \(cos A = \frac{b^2 + c^2 -a^2}{2(b)(c)}\)
⇒ \(A = cos^{-1}(\frac{b^2 + c^2 -a^2}{2(b)(c)} )\)
• Now we can substitute the values into the equation to calculate the value of angle A:
\(A = cos^{-1}(\frac{6^2 + 2^2 -(2\sqrt{13})^2}{2(6)(2)} )\)
⇒ \(A = cos^{-1} (-\frac{1}{2} )\)
⇒ A = 120°
In the diagram below AB is parallel to CD . What is the value of x ?
Waluigi's Towing Service charges $38.51 for its hook-up fee plus $35.21 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 35.21m + 38.51. Which value in the equation represents the rate of change?
A .. The number of miles towed
B .. $38.51
C .. $35.21
D .. $73.72
Answer:
c 35.21
Step-by-step explanation:
rate of change is=to slope
in y=mx+b
m is slope(rate of change)
x the variable such as miles
b is y intercept
a film lasts 45 minutes what fraction of the film is left after 15 minutes and 25 minutes ?
Answer: i) \(\frac{1}{3}\)
ii) \(\frac{5}{9}\)
Step-by-step explanation:
Total length of film = 45 mins
Fraction of time left after 15 mins = \(\frac{15}{45}\)
= \(\frac{1}{3}\)
Fraction of time left after 25 mins = \(\frac{25}{45}\)
= \(\frac{5}{9}\)
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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