Answer:
Third one
Step-by-step explanation:
The circumference of a circle is given by the formula:
P = d*π d is the diameterP= 20π ⇒ d*π = 20π ⇒ d= 20
The volume of a sphere is given by the formula:
V = [tex]\frac{4}{3}[/tex]*π*r³ r is the radius wich is d/2r = 20/2 = 10V= [tex]\frac{4}{3}[/tex]*π*10³
V= 1333.33*π
Sheila plans to row across the lake from point A to point B as shown below.
To determine how far she will have to row, she has chosen a point Cand
calculated the labeled data. How many miles will she have to row? Round
your answer to two decimal places.
12.3 miles
15.6 miles
66.7°
Answer: 15.58 miles
Step-by-step explanation:
Given two sides and an included angle, segment AB can be calculated using the cosine rule :
Given a = 15.6 miles, b = 12.3 miles and C=α=66.7°
To find c:
c= √(a^2+b^2-2abcosα
c = √ 15.6^2 + 12.3^2 -(2 × 15.6 × 12.3)cos66.7°
c = √243.36 + 151.29 - 151.79454
c = √242.85545
c = 15.583820
c = 15.58 miles
Answer:
13.56
Step-by-step explanation:
hope that helps
Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
To solve more questions on straight lines, visit the link below-
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[Refer to the image attached for complete question]
PLEASE help me with this question!!!!!!
Answer:
270[tex]\sqrt{3}[/tex] cm³
Step-by-step explanation:
A regular hexagon can be cut into 6 equilateral triangles.
The area (A) of an equilateral triangle can be calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6
A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6
area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²
The volume (V) of the prism is calculated as
V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³
how far is 5 and a half from negative 1 and 3 fourths
Answer:
[tex] 7.25 \: units[/tex]
Step-by-step explanation:
[tex]d \bigg(5 \frac{1}{2}, \: \: - 1 \frac{3}{4} \bigg) \\ \\ = d \bigg( \frac{11}{2}, \: \: - \frac{7}{4} \bigg) \\ \\ = d \bigg( \frac{22}{4}, \: \: - \frac{7}{4} \bigg) \\ \\ = \frac{22}{4} - \bigg( - \frac{7}{4} \bigg) \\ \\ = \frac{22}{4} + \frac{7}{4} \\ \\ = \frac{22 + 7}{4} \\ \\ = \frac{29}{4} \\ \\ = 7. 25\: units[/tex]
the HCf of 30 and40
Answer:
The HCF of 30 and 40 is 10
Answer:
10
Step-by-step explanation:
Well to find the GCF of HCF which are the same thing we have to make of list of factors of 30 and 40.
Look at the image below
after making the list find the greatest common factor which is 10.
Reduce to simplest form. -5/12 - (-9/3)
Answer:
31/12
Step-by-step explanation:
-5/12 - (-9/3)
Distribute the negative sign to the brackets.
-5/12 + 9/3
Make denominators equal and add.
-5/12 + 36/12
= 31/12
Answer:
31/12
Step-by-step explanation:
Find the least common denominator, which is 12, then combine
You have to add the fractions because two negative signs equals to positive
-5/12 + 36/12
-5+36=31
Therefore your answer is 31/12
Hope this helps please mark brainliest!
make m
the subject of
the formula
r=5m²-n
Answer:
√(r+n)/5=m
Step-by-step explanation:
r=5m²-n
adding n on both sides
r+n=5m²-n+n
r+n/5=m²
taking square root on both sides
√(r+n)/5=m
3 x : 10 = 5 : 2 Calculate the value of x
Answer:
so the value of x is 8.3333≈8.3
Step-by-step explanation:
3x:10=5:2
[tex]\frac{3x}{10}=\frac{5}{2}[/tex]
by cross-multiplication
3x×2=5×10
6x=50
6x/6=50/6
x=8.33
i hope this will help you :)
There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast
Answer: 8435
Step-by-step explanation:
No. of girls = 4562 - 689 = 3873
Total strength = 4562 + 3873
= 8435
Answer:
8435
Step-by-step explanation:
Boys= 4562
Girls= 4562-689= 3873
Total= 4562+3873= 8435
What is the equation of the following line written in slope-intercept form?
(-5, -1)
Oy=3/2x-13/3
Oy=-2/3x-13/3
Oy=2/3x-13/3
Answer:
Option (2)
Step-by-step explanation:
Let the equation of the line is,
y - y' = m(x - x')
where (x', y') is a point lying on the given line.
And m = slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Line given in the graph passes through two points (-5, -1) and (-2, -3).
Slope of the line 'm' = [tex]\frac{-3+1}{-2+5}[/tex]
= [tex]-\frac{2}{3}[/tex]
Therefore, equation of the line passing through(-5, -1) and slope of the line = [tex]-\frac{2}{3}[/tex] will be,
y - (-1) = [tex]-\frac{2}{3}[x-(-5)][/tex]
[tex]y+1=-\frac{2}{3}(x+5)[/tex]
[tex]y=-\frac{2}{3}x-\frac{10}{3}-1[/tex]
[tex]y=-\frac{2}{3}x-\frac{13}{3}[/tex]
Option (2) will be the answer.
ayuda porfa se ruego :b
Answer:
b) 5u.
Step-by-step explanation:
El triangulo es 45-45-90, entonces los dos lados son iguales. Si un lado es 8u, el otro lado tambien es 8u.
Entonces, 8u + x = 13u.
x = 13u - 8u
x = 5u
Espero que esto te ayude!
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
Learn more about triangles here:
https://brainly.com/question/25950519
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find the length here asap
Answer:
A, 40.16
Step-by-step explanation:
cosθ = adjacent (BC) / hypotenuse (AB)
cos 17° = BC / 42
BC = 40.16
Answer:
[tex]\boxed{BC = 40.16}[/tex]
Step-by-step explanation:
Cos 17 = [tex]\frac{adjacent}{hypotenuse}[/tex]
Where adjacent = BC, hypotenuse = 42
0.959 = [tex]\frac{BC}{42}[/tex]
BC = 0.959 * 42
BC = 40.16
Alexa wants to have a bowling average of at least 210. If her scores are 230, 185, and 195, what does she need to score on her fourth game? Which inequality best represents the situation?
Step-by-step explanation:
so her minimum 4th score is calculated this way:
[tex] \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230[/tex]
so in round four
her score should be x in the way that:
x≥230
Hi can someone please help me.
The bases of a right triangle measure x-3 and x+4. If the hypotenuse of the triangle is 2x-3, what is the length of the hypotenuse?
Answer:
13 units.
Step-by-step explanation:
By Pythagoras:
(x -3)^2 + (x + 4)^2 = (2x - 3)^2
x^2 - 6x + 9 + x^2 + 8x + 16 = 4x^2 -12x + 9
4x^2 - x^2 - x^2 + 6x - 8x - 12x + 9 - 9 - 16 = 0
2x^2 -14x - 16 = 0
2(x^2 - 7x - 8) = 0
2(x -8)(x + 1) =0
x = 8, -1.
As x must be positive we take x = 8
So the hypotenuse is 2(8) - 3 = 13 units long.
The mean of 5 numbers is 50 and the mean of 4 of this numbers is 45. What is the fifth number
Answer:
the fifth number is 70
Step-by-step explanation:
mean (average) of first 5 numbers =50 , Then sum of this 5 numbers = 50*5 =250.
The mean of 4 numbers = 45 . Sum 4 numbers = 45*4 = 180
the fifth number is 250-180=70
(180 +70)/5=50 which is the mean
Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.
Answer:
1/6
Step-by-step explanation:
An experimental probability is the number of times an event occurred when actually attempted.
So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:
60-50 = 10.
So, the probability of picking a painted ball = 10/60 = 1/6
Hope this helps
Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30). Which statement describes the function through the points?
Answer:
The function is a direct variation function with a constant of variation of 1.5.
Step-by-step explanation:
I just took the test :/
Answer:
The function is a direct variation function with a constant of variation of 1.5.
Step-by-step explanation:
ok I need help with this cylinder volume thing
ok so the volume is 20litres and the diameter is 13.5 but I need to find the length value. Length value needs to be in metres
Answer:
h = 0.139725
Step-by-step explanation:
Volume of a Cylinder Formula: V = πr²h
You are given V = 20 and r = 6.75.
20 = π(6.75)²h
20/45.5625π = h
h = 0.139725
I'm not sure if this is correct or not.
Answer:
≈1.4 m
Step-by-step explanation:
V= 20 l= 20 000 cm³
d= 13.5 cm ⇒ r= 13.5 cm / 2= 6.75 cm (assume it is cm)
V= πr²h
h= V/πr²= 20000/3.14*6.75² ≈ 140 cm= 1.4 m
Triangle ABC has vertices at A(-1,1), B(-7,1), and C(-3,6).
What is the area of Triangle ABC?
Answer:
I think the answer is b
Step-by-step explanation:
please help me out friends
Answer:
month 5
Step-by-step explanation:
Look at the proportion. A motorcycle is on sale for $1,800.00. The store is currently offering a 15% discount off the sale price. What is the dollar amount of the discount? A) $15.00 B) $27.00 C) $150.00 D) $270.00
Answer:
D) $270.00
Step-by-step explanation:
15% of 1800 is 270 which is exactly what the dollar amount of the discount would be
Answer:
D.) $270.00
Step-by-step explanation:
I got this by first turning 15% into its decimal form:
[tex]15%[/tex]% [tex]= .15[/tex]
Once I did this I multiplied the decimal form by the price of the motorcycle.
[tex]1,800[/tex] × ·[tex]15[/tex] = [tex]270[/tex]
factor y=2x^2+10x+12
Answer:
y=2(x+2)(x+3)
Step-by-step explanation:
First, we need to factor the right side:
y=2(x^2+5x+6)
Now, we can have an incomplete equation like this:
y=2(x+_)(x+_)
In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!
So, our factored form is
y=2(x+2)(x+3)
If the maximum value of f(x) is 20, then what is the maximum value of (2x - 10) if f(x) = -4x^2+
bx + c?
Answer:
The maximum value of (2·x - 10) is 20
Step-by-step explanation:
Given that the maximum value of f(x) = 20
f(x) = -4·x² + bx + c
We are required to find the maximum value of (2·x - 10)
f'(x) = -8·x + b = 0
x = b/8
f''(x) = -8, therefore, f'(x) is the maximum point
20 = -4·x² +8·x² + c
20 = -4·(b/8)² + b×(b/8) + c
20 = -b²/16 + b²/8 + c
20 = b²/16 + c
f(2·x - 10) = -4·(2·x - 10)² + b·(2·x - 10) + c
f(2·x - 10) = b·(2·x - 10) + c - (16·x²-160·x +400
Differentiating to find the maximum gives;
f'(2·x - 10) = d(b·(2·x - 10) + c - (16·x²-160·x +400)/dx = 2·b -32·x +160 = 0
x = (2·b +160)/32 = 0.0625·b +5
At the maximum point, therefore, we have;
b·(2·(0.0625·b +5) - 10) + c - (16·(0.0625·b +5)²-160·(0.0625·b +5) +400
At the max value of f(2·x - 10) = b²/16 + c
Since b²/16 + c = 20, we have the maximum value of (2·x - 10) = 20.
What is the average rate of change for this exponential function for the
interval from x=2 to x= 4?
a.-6.
b.6
c.12
d.-12
Answer:
The correct answer is:
b. 6
Step-by-step explanation:
We are given the graph of an exponential function.
We have to find the average rate of change for this exponential function from x = 2 to x = 4.
First of all, let us plot the point on the graph on the points x = 2 and x = 4.
Please refer to the attached diagram.
We can easily find that the value of y at x = 2 is 4.
the value of y at x = 4 is 16.
[tex]\therefore[/tex] the coordinates are (2, 4) and (4, 16).
Let the points be A(2, 4) and B(4, 16)
Now, let us find the average rate of change for exponential function i.e. change in value of y divided by change in value of x from x = 2 to x = 4:
Formula:
[tex]\text{Average rate of change = } \dfrac{\text{Change in y coordinate}}{\text{Change in x coordinate}}[/tex]
[tex]\Rightarrow \dfrac{16-4}{4-2}\\\Rightarrow \dfrac{12}{2}\\\Rightarrow 6[/tex]
So, correct answer is option b. 6
Can someone assist me with this (giving brainliest)
Answer:
0.4
Step-by-step explanation:
That is the answer.......
===================================================
Explanation:
Define the two events as such
A = event of chosen to be in the play
B = event of getting the lead role
The probability of getting chosen in the play is 0.5, so P(A) = 0.5
Because getting a lead role means you must have been selected for the play, this means that event B depends entirely on event A. We can say
P(A and B) = 0.2
which is the same as P(B and A)
Therefore the conditional probability is
P(B given A) = P(B and A)/P(A)
P(B given A) = 0.2/0.5
P(B given A) = 2/5
P(B given A) = 0.4
You can replace each "given" with a vertical line to write P(B | A) instead of "P(B given A)". I used "given" because the vertical line could be easily mistaken for an uppercase letter i or a lowercase letter L.
express 1120 product of powers of its prime factors
Answer:
5x2x2x2x2x7x7
Step-by-step explanation:
First list all of the prime factors of 1120. You can do this by drawing a factor tree.
The results are:
5,2,2,2,2,7,7
To make 1120 a product of its prime factors, we just have to write it in the form:
5x2x2x2x2x7x7
Hope this helps
3/4, 1, 4/3, 16/9,... which of the following are recursive formulas for the nth term of the following geometric sequence?
Answer:
nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]
Step-by-step explanation:
nth term of geometric sequence = a(n)
nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]
Where,
a = first term
r = common ratio
n = number of term
So,
GP: 3/4, 1, 4/3, 16/9
a = 3/4
r = 1 / [3/4] = 4/3
n = n
nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]
nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]
******WHO ANSWERS WILL BE THE BRAINLIEST********
In circle D, which is a radius to the circle?
* FE
AB
DC
GBE
Answer:
D to C
Step-by-step explanation:
The radius is half the diameter or the center point to the edge (circumference)
Answer:
DC
Step-by-step explanation:
A square has a side length x and a circle has a radius (x-1). At what value of x will the two figures have the same area?
a. 1.66
b. 2.29
c. 0.5
d. 1.25
Answer:
B
Step-by-step explanation:
The area of the square can be calculated using S^2 = x^2
The area of the circle is pi * r^2
= 22/7 * (x-1)^2
= 22(x-1)^2/7
So we need the value of x, that will make;
x^2 = 22(x-1)^2/7
In this kind of scenario, since we have options, it is best to test values instead of going through long calculations
Let’s try 2.29
So;
2.29^2 = 22/7(2.29-1)^2
5.2441 = 5.23
So close , but let’s see if any other value will
give us a closer value
Let’s work with 1.66
1.66^2 = 22/7(1.66-1)^2
2.7556 = 1.369
This is far from what we need
Let’s try 0.5
0.5^2 = 22/7(0.5-1)^2
Thus gives a negative answer on the right hand side, so no need trying
And lastly 1.25
1.25^2 = 22/7(1.25-1)^2
1.5625 = 0.1946
So the first test still gives the most probable answer to a decimal place accuracy
Answer:
b. 2.29
Step-by-step explanation:
the answer above is correct please give them the brainiest