Answer:
18.6 inches
Step-by-step explanation:
As we have the scale between the model and the real skyscraper, and we also have the height of the real building, to find the height of the model we just need to use a rule of three:
1 inch -> 75 feet
x inches -> 1395 feet
x*75 = 1*1395
x = 1395 / 75
x = 18.6 inches
The height of the model skyscraper is 18.6 inches.
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
I NEED THIS NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For each of the figures, write Absolute Value equation in the form
|x−c=d|, where c and d are some numbers, to satisfy the given solutions:
Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
18-2.5+7 there s your helllppppppppppp
Consider the standard form of an exponential function:
\(y=a(b)^x\)
How does changing the base number (inside the parentheses) change your graph?
Answer:
Step-by-step explanation:
Challenge 1
We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.
If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.
Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).
Remember that b cannot be negative.
===========================================
Challenge 2
In the general template provided, enter x = 0.
y = a(b)^x
y = a(b)^0
y = a(1) (1)
y = a
When x = 0 is plugged in, the result is y = a.
The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.
Examples:
What is the measure of the missing angle?
A) 30∘
B) 31∘
C) 32∘
D) 33∘
HELP PLEASE LOOK AT THE IMAGE NO WRONG ANSWERS
Answer:
D) 33 degrees
Step-by-step explanation:
All interior angles of a quadrilateral must equal 360 degrees.
We have 3/4 angles, so let's write an equation:
360=x+265+32+30
simplify
360=327+x
subtract 327 from both sides
33=x
So, D is the correct option.
Hope this helps! :)
The average age of 3 girls is 17years 4 months
The average age of 2 of them is 17 years 3 months
How old is the third girl.
please explain your answer.
Thank you
This the correct question
Solve the equation -8(n + 7) = -88. What are two ways to start solving this equation? Choose BOTH ways.
1) Subtract 7 from both sides.
2) Use the distributive property.
3) Add 8 to both sides.
4) Add 88 to both sides.
5) Divide both sides by -8.
Answer:
Divide each side by -8
Distribute
Step-by-step explanation:
-8(n + 7) = -88.
Method 1
Divide each side by -8
n+7 = 11
Subtract 7 from each side
n = 4
Method 2
Distribute
-8n-56= -88
Add 56 to each side
-8n = -32
Divide by -8
n=4
Answer:
Distributive property & dividing -8 on both sides.
Step-by-step explanation:
You can begin solving the equation by either using the distributive property or dividing -8 on both sides.
Distributive Property:
\(-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4\)
Dividing:
\(-8(n+7)=-88\\n+7=11\\n=4\)
The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?
Answer:
\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)
Step-by-step explanation:
Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.
\(A = \frac{h_{b}+b}{2}\)
Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.
By using trigonometric relations we will see that the area is:
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
brainly.com/question/2217700
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Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
In the figure, square ABCD has side length 6 feet, and E is a point in the exterior of the square such that triangle ADE is equilateral. How many square feet are in the area of shaded triangle BEC? Express your answer as a decimal to the nearest tenth.
SHOW WORKING FOR BRAINLIEST
Answer:
Step-by-step explanation:
i was going to try to figure this out that is definitly hard
explain how to find the difference between 9^10/9^11 and 9^11/9^10
Answer:
jhv
Step-by-step explanation:
kjbb
i really need help with this if anyone can help
Answer:
6) no, because a tree that is 2 units east and 8 units north would only be one yard away from a pre-existing tree
7) tree A is the closest to the house
8) tree F is the furthest from the house
9) tree D is further east
10) if you were to go 2 yards east and 10 yards north, you would reach tree F
Step-by-step explanation:
hope this helped!
Select all of the prime numbers from the list that can divide the number 14 exactly.
A. 2
B. 3
C. 5
D. 7
E. 11
F. 13
G. 17
H. 19
I. 23
Answer:3,5,7,11, and 13
Step-by-step explanation:i hope this helps
If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)
Answer:
A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:
(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.
(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.
(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.
(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.
So, the pairings that always describe a function are:
(a person’s age in years, that same person’s height in inches)
(a person’s weight in pounds, that same person’s height in inches)
(a person’s height in centimeters, that same person’s height in inches)
These three pairings meet the criteria of a function, where each input corresponds to a unique output.
The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)
How did we arrive at this assertion?A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:
1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).
2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.
3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.
4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).
So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)
learn more about function describing pairs: https://brainly.com/question/31919824
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Please help I’m confused
A. 125
B. 15
C. 3
D. 5
hello
the answer to the question is A) 125
(if you need explanation, let me know in the comments)
explanation:
when you'd want to make a three letter password such as:
___ × ___ × ___
you can put 5 different letters in each blank space:
_5_ × _5_ × _5_
hence the answer is:
5 × 5 × 5 = 125
Dante wants to buy a scooter that usually sells for $85.99. The store is having a sale and all merchandise is discounted by 15%. What is the total cost of the scooter if Dante pays 8 1/2% sales tax?
Try to show the work/explanation please! :)
(i took this from samueladesida43)
Answer:
$79.30
Step-by-step explanation:
Initial sales price of scooter = $85.99
Sales tax rate = 8 1/2 or 8.5%
Discount rate = 15%
A 15% discount was given to Dante on the scooter i.e. 15% of selling price was taken off
We then calculate the discount amount : 15/100 × 85.99 = 12.8985
$12.8985 was reduced from the initial sales price= 85.99 - 12.8985 = 73.09
This means that $73.09 is the new sales price for the scooter
Sales tax is a compulsory amount charged by the government over every purchased good by a consumer. It is paid alongside the price for the good
Sales tax is calculated thus: Selling price × Sales tax rate
73.09 × 8.5/100 = 73.09 × 0.085
= 6.21
The Sales tax = $6.21
To calculate the total cost of the scooter = Sales tax + Selling price
6.21 + 73.09 = 79.30
Therefore, the amount in total that will be paid by Dante for the scooter is $79.30
A bike wheel has a radius of 12 inches. How far will someone travel in 500 rotations? About how far is this in feet? Round to the nearest foot.
Answer:
3142 feet
Step-by-step explanation:
first, find the circumference of the wheel.
approx 75.4
every one rotation you travel approximately 75.4 inches
75.4 x 500 =37,700
37,700/12 = feet traveled
3141.6... feet
rounded = 3142
Geometry
Answer with a proper explanation
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
Please answer quickkkkk!!!!!! PLEASE PLEASE!!!!!!1
Answer:
Acute: 2
Obtuse: 1
Right: 1
Step-by-step explanation:
Acute angles are less than 90 degrees
Obtuse angles are more than 90 degrees
Right angles are always 90 degrees
Answer:
Acute: 2
Obtuse: 1
Right: 1
Step-by-step explanation
Acute angles are less than 90 degrees
Obtuse angles are more than 90 degrees
Right angles are always 90 degrees
Just add them all up
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?
5/11
A. 0
B. 1
C. 2
D. 3
Answer:
C. 2
Step-by-step explanation:
the answer to 5 ÷ 11 is 0.45 repeating meaning there are two digits before it repeats; the tenths and hundreds place.
Triangle NGM is reflected across the x-axis, and is dilated by a factor of
\(2 \frac{1}{2} \)
what are the coordinates of vertices N'G'M'
The coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).
Scale factor = \(2\frac{1}{2}\)
= 2.5
The reflection of point (x, y) across the x-axis is (x, -y).
Here, N(-4, 6)→(-4, -6)
M(-6, 2)→(-6, -2)
G(-2, 4)→(-2, -4)
Now, with scale factor 2.5, we get
(-4, -6)→2.5(-4, -6)→N'(-10, -15)
(-6, -2)→2.5(-6, -2)→M'(-15, -5)
(-2, -4)→2.5(-2, -4)→G'(-5, -10)
Therefore, the coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
To learn more about the reflection over x-axis visit:
https://brainly.com/question/15175017.
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Which of the following fractions is equivalent to 10/12 ?
a. 40/48
b. 20/30
c. 4/5
d. 12/14
Answer:
a. 40/48
Step-by-step explanation:
40/48 = 20/24 = 10/12
a. 40/48
Answer: a. 40/48
Hope this helps!
Gavin is purchasing a new video game for $45. He has found a coupon for $5 off the game, and his mother gave him another coupon for 10% off. Which coupon should Gavin use to get the better deal?
Answer:
a coupon for five dollars would be the best
Step-by-step explain
.1 = ten percent so 45 multiplied by .1 is 4.5 so you take 4.5 off of 45 which is 40.5$ a coupon for 5 dollars off brings the 45 down to a 40 hence forth the five dollar coupon saves .50 cents
I NEED HELP ASAP!!!!
3(2x + 4) = 60
I KNOW ITS X= 8x..... BUT WHY IS IT THAT ANSWER I DON'T UNDERSTAND!!
Answer:
X=12
Step-by-step explanation:
First, we know that we can't add 2x and 4, so we use the distributive property with 3. 3 times 2x is 6x and 3 times 4 is 12
Our new equation is 6x+12=60
We want the X alone, so how do we do that? first, we subtract the 12 from both sides, giving us 6x=72
We don't want the 6 on the X.
6x really means 6 times X. so to get rid of the six we do the opposite: division.
Now, we divide the 6 on the X side giving us 1x or it can just be written as X. And then we divide the 72 by 6 which gives us 12.
So, X=12
- I hope this helps!
Answer:
6x+12=60
6x=48
x=8
Step-by-step explanation:
Here is the answer
giving brainlist help
Answer:
ffg
Step-by-step explanation:
Answer: 13.6 US$
I hope this helped :)
The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999.
Which statement best describes the relationship between average traffic volume and average vehicle speed shown on the scatter plot?
As traffic volume increases, vehicle speed increases at first, then decreases.
As traffic volume increases, vehicle speed decreases at first, then increases.
As traffic volume increases, vehicle speed increases.
As traffic volume increases, vehicle speed decreases
Traffic Volume and vehicle speed are negatively correlated that means that as the traffic volume increases , the vehicle speed will decrease.
What is negative correlation in scatter plot?When the points in the scatter plot are in the pattern of falling from left to right it means the data is negatively correlated ,It means that the value of one variable decreases when the value of another variable increases.
Or we can say that the variable over x axis increases then variable for y - axis decreases.
As shown in the scatter plot in the question , we can that the points are falling from left to right , therefore there must be negative correlation
between Average traffic Volume And Average Vehicle speed.
Therefore, as the traffic volume increases , the vehicle speed will decrease.
Also, Learn more about the negative correlation from the link below:
https://brainly.com/question/14436361
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Please help, will give Brainliest if possible!
Answer:
angle A is congruent to angle R
angle Q is congruent to angle D
angle B is congruent to angle S
angle C is congruent to angle P
side RQ is congruent to side AD
side AB is congruent to side SR
side BC is congruent to side SP
side PQ is congruent to side DC
Step-by-step explanation:
If you took the second shape and turned it counter clockwise (to the left side of your screen) about 90 degrees, you should see that they are the same shape.
Hope this helps :)
Answer:
angle A is congruent to angle R
angle Q is congruent to angle D
angle B is congruent to angle S
angle C is congruent to angle P
side RQ is congruent to side AD
side AB is congruent to side SR
side BC is congruent to side SP
side PQ is congruent to side DC
Step-by-step explanation:
Multiplication Rule: Rewrite the product as a single power.
8^4 · 8^5 =
(8 to the 4th power/ 8 to the 5th power)
Answer:
\( {8}^{9} \)
Step-by-step explanation:
\( {8}^{4} \times {8}^{5} = {8}^{4 + 5} = {8}^{9} \)
Use the properties of power (when multiplying equal bases with different power exponents, the exponents are added together)
Answer:
8^9
Step-by-step explanation:
You add the exponents together.
Pls hurry!!!!! What’s the code?????