Answer:
396.5cm or 3.965m
Step-by-step explanation:
A sculptor is designing her new triangular masterpiece. In her scale drawing,
Scale Drawing
The shortest side = 9cm
The longest side = 37cm
Actual Drawing
The longest side of the actual triangular piece= 16.3m long.
We convert from meter to cm
1m = 100cm
16.3m =
Cross Multiply
= 16.3 m × 100cm/m
= 1630cm
How long will the shortest side of this piece be?
Let the shortest side be represented by x
9/37 = x/1630
Cross Multiply
37x = 9 × 1630
x = 9 × 1630/37
x = 396.48648649cm
≈ 396.5cm
Or converting to meter
= 396.5cm/100
= 3.965m
What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced form.
Answer:
The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]
→ Simplify it by dividing up and down by 2
∴ m = [tex]\frac{4}{3}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{4}{3}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 2
∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
Answer:
You can't answer this question since there is no picture. Remember though the any 2 angles that make 180 degrees or resembles a line is 180 degrees.
Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?
Answer:
the retirement fund would last 12 years
Step-by-step explanation:
first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.
65 - 25 = 40 years
next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).
12 × 750 = 9,000 dollars per year
then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.
9,000 × 40 = 360,000 dollars in 40 years
-
after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.
$360,000 ÷ $2,500 = 144 months
to find how many years the money would last, one would divide it by 12, which is the amount of months per year.
144 ÷ 12 = 12
It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.
Step-by-step explanation:
You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!
Solve for x: 5 − (x + 5) > −2(x + 4)
x > −8
x −18
x < −18
PLS PLS PLS HURRY I GIVE BRAINLIEST
Answer:
The answer is
[tex] \huge x > - 8[/tex]
Step-by-step explanation:
[tex]5 − (x + 5) > −2(x + 4)[/tex]
First of all expand the terms in the bracket
That's
[tex]5 - x - 5 > - 2x - 8 \\ - x > - 2x - 8[/tex]
Add 2x to both sides
[tex] - x + 2x > 2x - 2x - 8 \\ x > - 8[/tex]
We have the final answer as
[tex]x > - 8 [/tex]
Hope this helps you
Answer:
x > -8
Step-by-step explanation:
5 − (x + 5) > −2(x + 4)
Simplify both sides first:
5 - x - 5 > -2x - 8
-x > -2x -8
Now isolate the variable:
-x > -2x -8
+2x +2x
x > -8
Thank you guys for helping me. I need help on this one
Answer: 10 times 8 and 8 times 10
Step-by-step explanation:
those are the first in the multiplication table that have the same digits
Three sisters earned $6.39 at their lemonade stand. They want to share their earnings equally. What amount will each sister receive? Write an equation that shows the solution.
Answer:
$6.39/3=x
x=2.13
Each sister will earn 2 dollars and 13 cents.
Step-by-step explanation:
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 49 minutes? In 1 hour?
Answer:
32 2/3
Step-by-step explanation:
1 1/2x 2 1/4 =2/3
Then multiply 2/3 times the minutes (49)
You will get 32.6666
Convert that to a fraction or use calculator soup
Therefore the car will travel 32 2/3 miles in 49 minutes
(40 miles in one hour)
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answer:
7,-10
Step-by-step explanation:
I need some help please
Answer:
a: y=-1/2x-3/2
b: y= -4x+2
Step-by-step explanation:
What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
To learn more on function click:
brainly.com/question/21145944
#SPJ7
9783
8 sth
2400
A tank is completely filled with water. A pump is used to drain the tank. The amount of
water remaining in the tank is given by the equation y=600-25x, where x is the number
of minutes since the pump started and y is the volume, in gallons, of water remaining
in the tank. In the equation, what are the meanings of the numbers 25 and 600?
Answer:
yes
Step-by-step explanation:
I need help with this please
30 = [(10 - 8) + (17-14)]
Answer:yes
Step-by-step explanation:kubjubjugjugjugjugjugjugju
Question 3 (20 points)
Factor:
36x2 - 81y2
(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)
Answer:
D
Step-by-step explanation:
The square root of 36 is 6 and the square root of 81 is 9 so that cancels out the answers C and B then there is a subtraction symbol in the original equation so there has to be one in the answer which cancels our A and leaves you with the final answer D.
2 + 4s >10 aanswer
Answer:
s>2
Step-by-step explanation:
2 + 4s >10
First, subtract 2 on both sides.
2 + 4s >10
-2 -2
4s>8
Divide by 4 on both sides to isolate x.
4s>8
/4 /4
s>2
Hope this helped you out! Have a great day c:
Help please!!! This is due in a couple hours!
I will give you brainliest
Answer:
I believe it would be 60
Step-by-step explanation:
Every triangle equals up to 180 degrees and this triangle is equal on all sides.
180÷3
Hope this helps! :)
X + 9 = X - 9
One Solution
Infinitely many
solutions
No Solutions
Please help
Answer:
no solution
Step-by-step explanation:
It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution
Answer:
No solution
Step-by-step explanation:
The length of a violin string varies indirectly with the frequency of vibrations of the string. When the length is 50 centimeters, the
frequency is 2 Hz
What is the frequency of a string 40 centimeters long?
Enter your answer in the box
Answer:
The answer is 2.5
Step-by-step explanation:
On the quiz I just type anything and that was the answer
Please Help Me, I Cant Even Do the First Step Of The Problem :(
Theres an image of the graph in the question.
The graph of g is a vertical translation of the graph of f.
If f(x) = mx + b and g(x) = (mx + b) + k. What value for k transforms the function f into g?
k = ???
Answer:
k = -3
Step-by-step explanation:
"if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1.8"
Answer:
yes you are right
At a local department store, cardigans are typically priced at $15. Due to a special,
the cardigans are reduced to 80% of their original price.
How much are cardigans now?
Answer:
$3
Step-by-step explanation:
80% of 15 is 12
15-12=3
The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.
Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?
Answer:
Step-by-step explanatin
it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook
Amy regularly works 20 hours per week at Smiths Dry
Cleaners Monday through Friday. She earns $10.10 per
hour and receives double-time pay for working nights. This
week Amy worked her regular 20 daytime hours plus an
additional 8 nightime hours.
What will her total pay be for the week? Round your answer
to the nearest cent.
$
15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)
Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.
Answer:
Step-by-step explanation:
a
what is the slope of the equation y=5/4x-7/4
Answer: x-intercept = 7/5 = 1.40000
y-intercept = -7/4 = -1.75000
Step-by-step explanation: Solve 4y-5x+7 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4y-5x+7 = 0 and calculate its properties
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -1.750 and for x=2.000, the value of y is 0.750. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.750 - (-1.750) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.500/2.000 = 1.250
When simplifying the expression in part H, how many times will the sign change on the positive term? Will the final expression be positive or negative?
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
if x=-2, y=-6 and z=4, Find the value of 4xy 3marks
Answer:
Step-by-step explanation:
4xy=4*(-2)*(-6)
4xy=48
whats the mass of 9.4 x 10^25 atoms of lithium
I NEEDDD HELP
Robinson had 17 1/5 feet of wire. He used 9 ¼ feet of the wire to repair a broken fence. How many feet of wire were left? (Give answer in decimal form)
Answer:
7.95
Step-by-step explanation:
convert both numbers to decimals so 17.2 and 9.25 and just subtract so, 17.2-9.25=7.95