Answer:
5/9
Step-by-step explanation:
5/3÷3
Copy dot flip
5/3 * 1/3
5/9
Which is the correct first step in finding the area of the base of a cylinder with a volume of 140pi cubic meters and a height of 12 meters?
Answer:
CCCC
Step-by-step explanation:
Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what are the side lengths of rectangle B ?
Answer:
8 cm and 10 cm
Step-by-step explanation:
Hello, I can help you with this.
Step 1
According to the question there are two rectangles A and B,
Rectangle A is a scale drawing of Rectangle B and has 25% of its area
in other words
[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\[/tex]
Step 2
Let
Rectangle A
length (1)= 4 cm
length (2)= 5 cm
[tex]Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}[/tex]
put this value into equation 1
[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}[/tex]
Now, we know the area of rectangle B, to know its length we need to formule other equation
Step 3
[tex]Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\[/tex]
the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then
[tex]\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)[/tex]
Step three
using Eq 1 and Eq 2 find the lengths
put the value of length(1B) into equation (2)
[tex]length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm[/tex]
Now, put the value of length(2B) into equation 3 to know length (1B)
[tex]length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm[/tex]
I really hope this helps you, have a great day.
Megan, Sally and Tom share £180 in the ratio 1:3:2 how much more does Sally recieve than Megan?
Answer: Sally recieves £60 more than Megan
Step-by-step explanation:
Add the ratio together 1+3+2=6
£180 divided by 6 = 30
Megan gets 30
Sally gets 30x3=90
Tom gets 30x2=60 30:90:69
A sector with a radius of 6 cm has a central angle measure of 4pi/9 in radians. What is the area of the sector?
Answer:
8πcm² = 8pi cm²
Step-by-step explanation:
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
Answer:
8πcm² = 8pi cm²
Step-by-step explanation:
trust
Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply. On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5). On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4). On a coordinate plane, a blue triangle has points (0, 1), (4, 4), (4, 1). A red triangle has points (negative 4, 1), (negative 4, 4), (0, 1). On a coordinate plane, a blue triangle has points (negative 5, 4), (negative 1, 4), (negative 1), 1). A red triangle has points (1, 1), (4, 1), (4, 5). On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).
Question:
1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)
Red triangle points; (-4, -1), (-1, -1). and (-4, -5)
2) Blue triangle points (1, 1), (4, 5), (4, 1)
Red triangle points; (-1, 1), (-1, 4). and (-5, 4)
3) Blue triangle points (0, 1), (4, 4), (4, 1)
Red triangle points; (-4, 1), (-4, 4). and (0, 1)
4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)
Red triangle points; (1, 1), (4, 1). and (4, 5)
5) Blue triangle points (-2, 5), (4, 5), (4, 1)
Red triangle points; (-1, 4), (-5, 4). and (-5, -2)
Answer:
The correctly rotated red triangles are those of (1), (2), and (5)
Step-by-step explanation:
In a 90° counterclockwise rotation, every x and y points of the original triangle are switched while the y is turned negative, as shown in the following equation;
(x, y) to (-y, x)
Therefore, the triangles that undergo a 90° counterclockwise rotation are as follows;
1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)
Red triangle points; (-4, -1), (-1, -1). and (-4, -5)
(-1, 4) → (-4, -1)
(-5, 4) → (-4, -5)
(-1, 1) → (-1, -1)
Correctly rotated 90° counterclockwise
2) Blue triangle points (1, 1), (4, 5), (4, 1)
Red triangle points; (-1, 1), (-1, 4). and (-5, 4)
(1, 1) → (-1, 1)
(4, 5) → (-5, 4)
(4, 1) → (-1, 4)
Correctly rotated 90° counterclockwise
3) Blue triangle points (0, 1), (4, 4), (4, 1)
Red triangle points; (-4, 1), (-4, 4). and (0, 1)
(0, 1) → (0, 1) ≠ (-1, 0)
(4, 4) → (-4, 4)
(4, 1) → (-4, 1)
Not correctly rotated 90° counterclockwise
4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)
Red triangle points; (1, 1), (4, 1). and (4, 5)
(-5, 4) → (4, 5) ≠ (-4, -5)
(-1, 4) → (4, 1)
(-1, 1) → (1, 1)
Not correctly rotated 90° counterclockwise
5) Blue triangle points (-2, 5), (4, 5), (4, 1)
Red triangle points; (-1, 4), (-5, 4). and (-5, -2)
(-2, 5) → (-5, -2)
(4, 5) → (-5, 4)
(4, 1) → (-1, 4)
Correctly rotated 90° counterclockwise.
Answer:
1,2,5
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
what should i get for my birthday ? answer quickly plz ( its on june 3rd ) ( i need help)
Answer:
thats so cool! Happy Birthday you should get some kind of dessert and pizza.
Step-by-step explanation:
Dessert: get some ice cream and something to go with it. TASTY
Pizza: pizza=happiness and happiness is what you should be on your bday!
Use the unit circle to evaluate the six trigonometric functions of θ = -π.
Sin θ=
Cos θ=
Tan θ=
Csc θ=
Sec θ=
Cot θ=
Answer:
sin=0
cos=-1
tan=0
csc=undefined
sec=-1
cot=undefined
Step-by-step explanation:
On the unit circle, [tex]-\pi=\pi[/tex]. The sin of theta is therefore 0, the cosine is -1, and the tangent is 0/-1=0. Since the following functions are just the reciprocals of the previous ones, the cosecant is 1/0=undefined, the secant is 1/-1=-1, and the cotangent is 1/0= undefined. Hope this helps!
All six trigonometric ratios were calculated using a unit circle and comes out to be
[tex]sin(-\pi )= -sin\pi =0\\cos(-\pi )= cos\pi =-1\\tan(-\pi )= -tan\pi=0 \\cosec(-\pi )= -cosec\pi =infinity\\sec(\pi )= sec\pi =-1\\cot(-\pi )=-cot\pi=infinity[/tex]
I have attached a unit circle diagram.
What is a unit circle in trigonometry?In this unit circle corresponding values of sine and cosine have been written near the angle 'α' in form (cosα,sinα)
x-coordinate is cosα
y-coordinate is sinα
now,
one can find other trigonometric ratios
[tex]tan\alpha =\frac{sin\alpha }{cos\alpha } \\\\cot\alpha =\frac{1}{tan\alpha } \\\\cosec\alpha =\frac{1}{sin\alpha } \\\\sec\alpha =\frac{1}{cos} \\[/tex]
Hence, we can find the rest of the trigonometric ratios by using the coordinates (cosα,sinα) for a particular angle 'α'.
to get more about unit circle refer to the link,
https://brainly.com/question/16577559
What is the inverse function of f(x) equals X over X -2
Answer:
(2x)/(x-1)
x = y/(y-2)
(y-2)x = y
yx - 2x =y
yx-y = 2x
y(x-1) = 2x
y= 2x/(x-1)
All the ice cream sold has exactly one flavor and one treat. If a chocolate ice cream is picked at random, what is the probabilitly that it will have blue swirls
Answer:
Zero
Step-by-step explanation:
Since all the ice cream sold has exactly one flavor and one treat, a chocolate ice cream can't have a blue swirl. This means that the number of chocolate ice cream with blue swirl is zero. Therefor the probability is zero.
Diana has 1 square yard of fabric she will make one pillow that requires 3/8 square yard of fabric and another pillow that requires 2/8 square yard of fabric Diana uses the equations shown below to explain her process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left
Answer:
Diana uses 5/8 square yard of fabric for both pillows.There remains 3/8 square yard of fabric.Step-by-step explanation:
Givens
The total amount of fabric is 1 square yard.One pillow requires 3/8 square yard of fabric.A second pillow requires 2/8 square yard of fabric.To find the total amount of fabric Diana used, we must sum those fractions
[tex]\frac{3}{8} +\frac{2}{8}=\frac{5}{8}[/tex]
Diana uses 5/8 square yard of fabric for both pillows.
Now, we subtract to find the remaining amount of fabric
[tex]1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}[/tex]
Therefore, there remains 3/8 square yard of fabric.
A copy machine makes 32 copies per minute.how many copies does it make in 5 minutes and 15 seconds
Answer:
168
Step-by-step explanation:
You do 5 times 32 then divided 60 by 15 to figure out how much of 1 min is 15 sec its 1/4 so u do 1/4 of 32, 8 and add that to 5 times 32
Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
There are 3 white counters and 2 black counters in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen one of the white counters.
Answer:
see below
Step-by-step explanation:
You have 3 chances in 5 of drawing a white counter, so the probability is ...
3/5 = 0.6
Your mark will go at 0.6 on the probability scale.
Help me with this!!! What is x
Answer:
58º
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
x and 32 are complementary, which means they must add to 90 degrees.
x+32=90
Now, we have to solve for x. To do this, we need to get x by itself. 32 is being added on to x. To reverse this, subtract 32 from both sides, because subtraction is the opposite of division.
x+32-32=90-32
x=90-32
x=58
x is 58 degrees
What is the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3)?
A. 8/3
B. 3/4
C. -4/3
D. -3/8
Answer:
A line that passes (2, 0) and (-6, 3) has slope:
S1 = (-6 -2)/(3 - 0) = -4/3
Another line that is perpendicular with above line has slope:
S2 = -1/S1 = -1/(-4/3) = 3/4
=> Option B is correct
Hope this helps
:)
The segment with endpoints (2,0) and (-6,3) has a line perpendicular to it with a slope of 4/3.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the general formula of the slope:
slope = (change in y) / (change in x)
The change in y is 3 - 0 = 3, and the change in x is -6 - 2 = -8. So the slope of the segment is:
slope = (3 - 0) / (-6 - 2) = -3/4
To find the slope of the line perpendicular to the segment, we know that it must have the opposite reciprocal slope. That is:
the slope of perpendicular line = -1 / slope of segment
slope of perpendicular line = -1 / (-3/4) = 4/3
Therefore, the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3) is 4/3.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ2
step by step plz
2x^2 + x - 3
Answer:
x = 1 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + x - 3 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x + 3) = 0
Split into two equations:
x - 1 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 1 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 1 or 2 x = -3
Divide both sides by 2:
Answer: x = 1 or x = -3/2
Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?
Answer: that the variable can be any number.
Step-by-step explanation:
So we have a linear equation and we end with a relation of the way:
x = x
an example can be if we have:
2*x + 4 = 2*(x + 2)
if you solve that, you will end with a relationship x = x
this means that any value of x will made that equality true.
so x can be any number.
Answer:
D trust the process
Step-by-step explanation:
what is f (5)
need help asap
Answer:
f(5) = -7
Step-by-step explanation:
f(5) means that x=5 so what you have to do if count +5 along the x axis and then count downward along the y axis until you touch the line. In this case, you count 7 down which is -7
PLEASE HELP WILL MARK BRAINLIEST
Answer:
The original point is (5, -5). The new point would be (5, 3)
Step-by-step explanation:
-5+8= 3
Answer:
(5, -5)(5, 3)I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
Claire wants to find the mass of her suitcase. Which unit of measure would be best for her to use?
A. Tons
B. Liters
C. Meters
D. Kilograms
Answer: d
Step-by-step explanation:to s is to heavy and the others are for liquid and size
Answer:
D
Step-by-step explanation:
just makes the most sense
If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explain.
Answer: 51.54 ft
Step-by-step explanation:
The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:
50ft/4 = 12.5ft.
Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:
H = √(12.5^2 + 50^2) = 51.54 feet.
Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.
Find the number of digits in the square root of 61504.
Answer:
3
Explanation
There are 3 digits in the number 248 which is the square root of 61504.
√61504 = 248 --- 3 digits in 248
-13=-18+w/4 two step equation
Answer:
w = 20
Step-by-step explanation:
Add 18 on both sides:
[tex]\frac{w}{4} =5[/tex]
Multiply by 4 on both sides:
w = 20
Answer:
20
Step-by-step explanation:
Let's solve your equation step-by-step.
−13=−18+ w/ 4
Step 1: Simplify both sides of the equation.
−13=−18+ w/ 4
−13=−18+ 1/ 4 w
−13= 1/ 4 w−18
Step 2: Flip the equation.
1/ 4 w−18=−13
Step 3: Add 18 to both sides.
1/ 4 w−18+18=−13+18
1/ 4 w=5
Step 4: Multiply both sides by 4.
4*( 1/ 4 w)=(4)*(5)
w=20
The volume of a cylinder with base radius 3 cm and height 6 cm is
_______ π cubic centimeters.
Answer:
54 π cubic centimeters
Step-by-step explanation:
Formula for the volume of a cylinder: πr²h
π×3²×6=
9×6×π=
54π cm³
a circle has a center located at 2 5 and passes through the point 10 3 answer
Determine the equation of the circle. Show how you arrived at your answer.
Write the equation of the tangent line to the circle at the point . Show how you determined your answer.
Answer:
[tex](x-2)^{2} +(y-5)^{2} =\sqrt{68}[/tex]
Step-by-step explanation:
Givens
The center of the circle is at (2,5).A point on the circumference is at (10,3).First, we need to find the radius, which is the distance between the given points.
[tex]d=\sqrt{(3-5)^{2} +(10-2)^{2} } =\sqrt{4+64}=\sqrt{68}[/tex]
Therefore, the radius of the circle is
[tex]r \approx 8.25[/tex]
The explicit form of the equation of the circle would be
[tex](x-2)^{2} +(y-5)^{2} =\sqrt{68}[/tex]
Can someone help me please
Answer:
Step-by-step explanation:
In a certain town, the ratio of left-handed people to right-handed people 2:9 how many right-handed people would you expect to find in a group of 1320000 people?
Answer:
We are expected to find 1,080,000 right handed people in that group of people
Step-by-step explanation:
In this question, we are given the ratio of right handed to left handed people and we are asked to calculate the number of right handed people we can find in a given population.
First, we check the ratio given.
The ratio is said to be that of left handed individuals to right handed individuals and this sits at 2 to 9.
Thus out of 1,320,000 people , the number of right handed individuals will be ;
9/(2+9) * 1,320,000
9/11 * 1,320,000
= 1,080,000 people
The factory makes 400 cars per day if the workday is eight hours long what is the hourly rate at which cars
Answer:
50
Step-by-step explanation:
Answer: The answer it’s 50. You need to divided the amount of cars and the hours. Therefore you’ll need to divide 400 and 8 which will then give you 50.
Brainliest question Please help me now plz
For every pound a company spends on advertising, it spends £0.59 on its website. Express the
amount spent on advertising to its website as a ratio in its simplest form.
Answer:
100:59
Step-by-step explanation:
For every pound a company spends on advertising, it spends £0.59 on its website.
Amount Spent on Advertising = £1
Amount Spent on Website = £0.59
Therefore:
Amount Spent on Advertising : Amount Spent on Website
= 1 : 0.59
Multiply both sides by 100
= 100: 59
The ratio of the amount spent on advertising to its website as a ratio in its simplest form is 100:59 in its simplest form.
Answer:
£100 : £59
Step-by-step explanation:
The said company spends £0.59 on its website for every pound spent on advertisement. This implies that out of £1.00 spent on advertisement by the company, £0.59 is for website placements.
Thus, the rate of the amount spent on advertisement to amount spent on website is given as:
£1.00 : £0.59
To convert this to the nearest whole number, multiply through by 100, so that the ratio becomes;
£100.00 : £59.00
Therefore, the ratio expressed in its simplest form is £100 : £59