Answer:
If it says working for 23hrs then the answer is €204
Step-by-step explanation:
8×23=204
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.
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
So I have another trigonometry question PLZ HELP ME I'm clueless at this rate I have like a little idea but I'm lost, SO PLZZZ! I NEED IT BY JUNE 4
1. Lifeguard stands on a beach are approximately 300 ft apart. They are at 30-degree angles to a windsurfer on the water in between them. How far away is the windsurfer from each tower. Draw a diagram to help you picture the situation.
2. If the Earth is approximately 93 million miles from the sun, and Mercury is about 36 million miles from the sun, what are the possible distances between Earth and Mercury on a certain day if the angle between the sun and mercury is 22 degrees as measured from Earth?
Answer:
1) The windsurfer is approximately 580 ft from each lifeguard stand.
2) The distance between the Earth and Mercury is approximately 61 million miles.
Step-by-step explanation:
The image other two situations described is presented in the attached image to this answer.
1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.
Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.
Let the required distance of the windsurfer from each of the lifeguard stands be x.
Using trigonometric relations,
Sin 15° = (150/x)
x = 150 ÷ sin 15° = 150 ÷ 0.2588
x = 579.6 ft = 580 ft to the nearest whole number
2) From the image, the Sun, Earth and Mercury form a triangle.
Let the possible distance between the Earth and Mercury be y.
Using cosine rule,
y² = 36² + 93² - (2×36×93×cos 22°)
y² = 3,736.5769098208
y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.
Hope this Helps!!!
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:
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.
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
Find the equation of the line.
Use exact numbers.
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.
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
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.
Answer the question
If you're right I'll MARK YOU BRAINLIEST!!
Answer:
[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]
Step-by-step explanation:
[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex] is found by first, siplifying the radicals in the parenthesis. [tex]\sqrt{8x^{2} }[/tex] can be simplified as [tex]2x\sqrt{2}[/tex] and [tex]-2\sqrt{x}[/tex] stays the same. Now we have to multiply these two by [tex]\sqrt{5x}[/tex] which then results in [tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]
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:
Brainliest question Please help me now plz
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
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:
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)
Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens!
Each time Miranda goes to the store she plans to spend \$7dollar sign, 7, and each time Savannah goes to the store she plans to spend \$9 dollar sign, 9.
A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
What is the least possible number of times that Miranda has been to the store?
Answer:
9
Step-by-step explanation:
Given that
Spending done by Miranda each time while go to the store = $7
Spending done by Savannah each time while go to the store = $9
For computing the least possible number we need to take the least common multiple of $7 and $9 i.e to be $63
Now the lease possible number for Miranda has been to the store is
[tex]= \frac{ Lease\ common\ multiple}{Spending\ done \ by\ miranda}[/tex]
[tex]= \frac{\$63}{\$7}[/tex]
= 9
Or we can do one thing as we know that 7 is a prime number which is not cut by any other number except one while the 9 factor could be [tex]= 3\times 3[/tex]
Therefore the 9 times would be considered
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
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!
work out...
-10 + -11
.
Tim installs 45 square feet in 50 minututes at this rate how long does it take him to install 495 square feet
Answer:
99.5
Step-by-step explanation:
Reduce to simplest form. -9/12 - (-7/4)=
Answer:
answer is 1
Step-by-step explanation:
[tex]-\frac{9}{12} - (-\frac{7}{4}) = -\frac{3}{4} - (-\frac{7}{4})\\=\frac{4}{4} = 1[/tex]
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.
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
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
How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1
Answer:
There are 4 terms when simplified. :)
Step-by-step explanation:
Add like terms.
a2-ab+10b-1
8b+2b=10b
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
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!
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