Answer:
57 feet
Step-by-step explanation:
A circular swimming pool has the shape of a circle
Therefore, find the circumference of a circle
Circumference of a circle = 2πr
Where,
Radius, r = diameter / 2
= 18 feet / 2
= 9 feet
π = 3.14
Circumference of a circle = 2πr
= 2 × 3.14 × 9 feet
= 56.52 feet
Approximately,
57 feet
write a function rule for the table
f (x) = 3x
The only function rule that works is A.
Instead of using f(x) - use y
Then place the numbers in for x and see which are true. The answer is A
What is the value of the following function when x = 0?
у = -5
y = -2
y = -1
y = 0
Answer:
y = - 2
Step-by-step explanation:
x = 0 lies on the y- axis
The only point on the y- axis where the function crosses is y = - 2
Then when x = 0, y = - 2
Helppp and explain !!!!
Answer:
try 4
Step-by-step explanation:
basically need to find number that when multiplied 3 times equals 64 so 4*4*4=64
write the expression that represents the phrase: the quotient of 10 and x
Answer:
Step-by-step explanation:
[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]
Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of segment AB.
Select one:
a. 23
b. 9
c. 19
d. 3
Answer:
C
Step-by-step explanation:
AB + BC = AC , that is
5x + 4 + 4x - 8 = 23
9x - 4 = 23 ( add 4 to both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Then
AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C
Una pelota se lanza con velocidad inicial en el eje horizontal de Vx =1.55 m/s, y velocidad inicial en el eje vertical de Vy = 3m/s. Calcule la magnitud de la velocidad, ángulo de lanzamiento, y alcance máximo.
Answer:
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10-
(7.2)
- 10
(0,0)
10
- 10 -
A. y 1x
B. y = 7x
C. y = 2x
D. y = -7x
E. y= ²x
F. y= -2x
Answer:
[tex]y = \frac{2}{7} x[/tex]
Step-by-step explanation:
The slope is
[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]
The y-intercept is 0
The equation of line between the points is y = ( 2/7 )x
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 7 , 2 )
Let the second point be Q ( 0 , 0 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2/7 )
Now , the equation of line is y - y₁ = m ( x - x₁ )
y - 0 = ( 2/7 ) ( x - 0 )
y = ( 2/7 )x
Hence , the equation of line is y = ( 2/7 )x
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Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance of point C to point A
Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
what’s the answer to this?
What percentage of 1hour is 6munites 20seconds
Answer:
1 minute and 12 seconds is 2 % of an hour.
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .
Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]
[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]
ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]
ED = 9.25 m
Height of the goalpost is 9.25 m.
in how many ways can alice distribute 12 apples to 3 children? each child has to have AT LEAST 1 apple.
Answer:
I think it would be 4 apples for each of them !
Step-by-step explanation:
its division. you had to do 12 ÷ 3
Answer:
The answer is 4 apples per child.
Step-by-step explanation:
If we have 12 apples and 3 children we write as a ratio like this:
12:3
So we have to figure out how many apples each child gets to have.
Next, we cancel out 3 from 12 and 3 which becomes:
4:1
So each child gets 4 apples.
I hope this helps!
Sean is a bookworm. On average, he reads pages in minutes.
Answer:
wow thats very interesting
Step-by-step explanation:
whats ur question
PLEASE HELP!!! Find the equation of the line passing through the point that (4,-1)that is parallel to the line 2x-3y=9
Answer:
y=2/3x-11/3
Step-by-step explanation:
line is parallel so the gradient will be the same ( m=2/3)
using the point (4,-1)
y=2/3x+c
-1=2/3*4+c
-1=8/3+c
c= -11/3
equation ---> y=2/3x-11/3
In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE
Answer:
In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .Successive approximation
Graph a line with a slope of 4 that contains the point (3,0). FOR 100 POINTS PLS
I DONT NEED THE EQUATION I NEED TO SEE IT GRAPHED
ALSO PLEASE PLEASE HELP ME
Answer:
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4,
therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Substract 12 from both side:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = - 8 (1, -8)
x = 2, y = 4(2) - 12 = - 4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
Thanks<8
Which of the following are true statements? Check all that apply. (WILL GIVE BRAINLIEST)
A. log(M/N) = (logM)/(logN) B. logM+logN=log(MN)
C. log(M/N)=logM-logN
D. logM-logN=log(M-N)
Answer:
B and C are the correct answers
Step-by-step explanation:
Hope this helps!
The statement B and C are true according to logarithm rules.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
A) log(M/N) =log M/log N
Quotient rule is log (x/y)=log x-log y
So, which in not true
B) logM+logN=log(MN)
Product rule is log(xy)=logx+logy
So, the statement is ture
C) log(M/N) =log M - log N
Quotient rule is log (x/y)=log x-log y
So, the statement is ture
D) log M - log N=log(M-N)
Quotient rule is log (x/y)=log x-log y
So, which in not true
Therefore, the statement B and C are true according to logarithm rules.
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What is the radius of the circle: x^2+y^2=4
1. (0, -4)
2. (0, 4)
3. (2, -4)
4. (0, 0)
Answer:
radius = 2
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 4 ← is in this form
with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2
centre (0, 0 ) and radius = 2
What is the largest prime number less than 200?
Answer:
199Step-by-step explanation:
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.
A prime number is a number that has only two divisors: 1 and itself.
Exaples:
2, 3, 5, 7, 11, 13, 17, 19, 23 ...
We know: all primes except 2 are odd.
Let's check the number 199:
We know:
13² = 13 · 13 = 169 < 200
17² = 17 · 17 = 289 > 200
199 : 3 is not an integer
199 : 5 is not an integer
199 : 7 is not an integer
199 : 11 is not an integer
199 : 13 is not an integer
199 : 17 is not an integer
Therefore 199 is thelargest prime number less than 200.
PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER
Answer:
B) Y=-2x+1
Step-by-step explanation:
(-2,5)(2,-3)
M= -8/4 = -2
y = -2x + b
5 = -2(-2)+ b
B= 1
Y=-2x+1
what is the value of b in this equation?
A. -20
B. -6
C. 6
D. 20
Answer:
Step-by-step explanation:
a- 12
b- 2
c- 11
and the next part is
x- 6
y- 18
Answer:
B
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]
Then
[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]
[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]
Equate the exponents
4b = - 24 ( divide both sides by 4 )
b = - 6 → C
Help please????????
Answer:
C
Step-by-step explanation:
First isolate x So the equation would look like
x^2=y+11
then square root the whole thing to get
x= plus or minus the square root of y-11
Help me please!!! Thanks
Answer:
Cylinder H has the greater volume.
Step-by-step explanation:
Recall that the volume of a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
Where r is the radius and h is the height.
Cylinder H has a radius of 4.5 meters and a height of 3 meters. Thus, its volume is:
[tex]\displaystyle \begin{aligned} V&=\pi(4.5)^2(3)\\&=60.75\pi \\&\approx190.8518\text{ m}^3\end{aligned}[/tex]
Cylinder J has a diameter of 7 meters and a height of 4.5 meters. The radius is half the diameter, so Cylinder J's radius is 3.5 meters. Thus, its volume is:
[tex]\displaystyle \begin{aligned}V&=\pi(3.5)^2(4.5)\\&=55.125\pi \\&\approx 173.1803\text{ m}^3\end{aligned}[/tex]
Thus, Cylinder H has the greater volume.
Help
Find the volume of this cone.
Use 3 for TT.
Answer:
[tex]180ft^{3}[/tex]
Step-by-step explanation:
Volume of a cone:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
Take [tex]\pi[/tex] as 3, as mentioned in the question
'r' is 'radius' ⇒ {diameter is given so divide by 2: 12/2 = 6}
'h' is 'height'
[tex]V=(3)(6)^{2} (\frac{5}{3} )[/tex]
[tex]V=(3)(36)(\frac{5}{3} )[/tex]
[tex]V=108(\frac{5}{3} )[/tex]
{multiply 108 with 5 and then divide the answer by 3}
[tex]V=108[/tex] × [tex]5[/tex]
[tex]V=540[/tex]
[tex]V=540/3[/tex]
[tex]V=180ft^{3}[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Hi there!
1. Trigonometric Ratio
For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.
2. Adjacent, Hypotenuse, Opposite
There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.3. Using Cosine Ratio
Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.Cosine Ratio is:
[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]
For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4
Hence, the new equation is:
[tex] \large{0.4 = \frac{x}{7} }[/tex]
4. Solve The Equation
The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]
Multiply 7 both sides to get rid of the denominator.
[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]
Divide both sides by 10 so we can finally isolate x.
[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]
Since the denominator is 10. We can convert to the decimal as 2.8
[tex] \large \boxed{ \tt{2.8 = x}}[/tex]
Because you want the nearest tenth then 2.8 is your answer!
5. Final Answer
x = 2.8Find x
Help me please
I'll give you 13 points if it's correct
the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.
Answer:
Hey
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because i said so
Find the scale factor of the dilation. Then tell whether the
dilation is a reduction or an enlargement
Answer:
Enlargement
k =[tex]\frac{18}{4}[/tex] = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
k = [tex]\frac{new}{old}[/tex]
If k > 1 then its an enlargement.
If k < 1 then its a reduction
How do I do this problem?
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:
[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.