The correct answer is A) 3 feet.
A 15-foot statue casts the shadow of 20 food, then a 4-foot-long shadow will be cast by a 3-foot-tall person.
What are arithmetical operations?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
From the data in the question,
15-foot statue = 20-foot shadow
x-foot man's height = 4-foot long shadow
20x = 60
x = 60/20
x = 3 foot.
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The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm
Answer:
[tex]Height = 15[/tex]
[tex]Base = 45[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Perimeter = 120cm[/tex]
[tex]Base = 3 * Height[/tex]
Required
Determine the dimensions
The perimeter of a rectangle is:
[tex]Perimeter = 2 * (Base + Height)[/tex]
Substitute 120 for Perimeter
[tex]120 = 2 * (Base + Height)[/tex]
Divide both sides by 2
[tex]60 = Base + Height[/tex]
Substitute 3 * Height for Base
[tex]60 = 3 * Height + Height[/tex]
[tex]60 = 3Height + Height[/tex]
[tex]60 = 4Height[/tex]
Divide both sides by 4
[tex]15 = Height[/tex]
[tex]Height = 15[/tex]
Substitute 15 for Height in [tex]Base = 3 * Height[/tex]
[tex]Base = 3 * 15[/tex]
[tex]Base = 45[/tex]
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?
14.99 ounces
14.72 ounces
14.08 ounces
14.01 ounces
Helppp meee!!!!!!!!!!
can someone help me out?
Answer:
y is equal to nine and two thirds, or 9.666...
Step-by-step explanation:
To solve this, we first need to know the value of x. We can see though that x + (x - 12) is equal to 180 degrees, so:
x + 5x - 12 = 180
6x = 192
x = 32
Now that we have x, we can use the same rule to solve for y:
3y - 8 = x
3y - 8 = 32
3y = 40
y = 40 / 3
So y = 40/3, or 9 and 2/3
Bonus:
I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.
If that were the case we'd have:
3y + 8 = 32
3y = 24
y = 8
A nice clean answer
To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.
PLEASE HELP I WILL GIVE BRAINLIEST!!!
1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.
it would be so amazing if you could help, im legit so confused :(
Answer:
1- 1+2+3+4+5 = 15
Step-by-step explanation:
Enter the value of
3 + (10 x 12) – 7
Answer:
116
Step-by-step explanation:
Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.
What is the exact value of cos7pi/12
(sqrt2 - sqrt6)/4 = - 0.259
cos ((7pi)/12) = cos 105 = - 0.259
Answer:
D. sprt2 - sqrt6/4
Step-by-step explanation:
If you mean the answer for edg that's what it is.
Hope that helps
Find Median in this data set
12 65 3 8 23 64 19 53 0 24 57 15 39. with explanation pls!
Answer:
23
Step-by-step explanation:
12, 65, 3, 8, 23, 64, 19, 53, 0, 24, 57, 15, 39
First put in order.
0, 3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64, 65
Eliminate each number alternating from beginning and end like so.
3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64
Keep doing until you get to the middle.
8, 12, 15, 19, 23, 24, 39, 53, 57
12, 15, 19, 23, 24, 39, 53
15, 19, 23, 24, 39
19, 23, 24
23
Since 23 is the last remaining number, that is the median.
A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat
The width of the mat with the given area and length is 7/10 in.
What is the width of the mat?The area of a rectangle is expressed as;
A = l × w
Where l is length and w is width.
Given the data in the question;
Area A = 7/12 in²Length l = 5/6 inWidth w = ?We plug our given values into the above equation and solve for w.
A = l × w
7/12 = 5/6 × w
w = 7/12 ÷ 5/6
w = 7/12 ÷ 6/5
w = 42/60
w = 7/10 in
Therefore, the width of the mat with the given area and length is 7/10 in.
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As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
Please help..........
Answer:
1178 inches
Step-by-step explanation:
Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.
Using the law of sines, we can conclude that
[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]
Plugging our values in, we get
[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]
Multiply both sides by 0.78 to get
[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]
round up to get 1178 as our answer
Help me
Plssssssssssssss
Answer:
18 mi per hr
16 mi per hr
18 mi per hr
14 mi per hr
Step-by-step explanation:
72 miles in 4 hours
[tex]72 \div 4 = 18[/tex]
18 miles in 1 hour (18 miles per hour)
96 miles in 6 hours
[tex]96 \div 6 = 16[/tex]
16 miles per hour
36 miles in 2 hours
[tex]36 \div 2 = 18[/tex]
18 miles per hour
70 miles in 5 hours
[tex]70 \div 5 = 14[/tex]
14 miles per hour
-1/2(16-8x)
Plz Answer
Answer:
-8+4x
Step-by-step explanation:
does anyone know the values of x and y? my teacher didn’t go over this type of problem
Answer:
x = 80
y = 100
Step-by-step explanation:
First, we need to figure out how many degrees there are in total in the inside of the polygon. There are 7 sides, so now let's use the formula to find out the total degrees.
(n - 2) * 180
"n" is the amount of sides.
(7 - 2) * 180 =
5 * 180 =
900
The total degrees is 900.
Now, we have to add all the sides in the inside to form an equation to solve for y.
y + 135 + 140 + 150 + 120 + 135 + 120 = 900
y + 800 = 900
y + 800 - 800 = 900 - 800
y = 100
Now, we know that x and y are supplementary angles. So the sum of x and y is 180. We can use that to create an equation to solve for x!
x + y = 180
x + 100 = 180
x + 100 - 100 = 180 - 100
x = 80
Therefore, x = 80 and y = 100
Hope this helped! <3
What property can be used to simplify the expression:
27(2p + 4e + 10p + 20)
a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle
Answer:
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180-40-60 = 80
80 degrees
80 degrees is an acute angle.
Answer:
It would be 80 degrees which is an acute angle
Step-by-step explanation:
A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!
If I had 20 dollars every other week for a year how much would I have
Two lines are intersecting. What is the value of x?
Write an equation that can be used to solve for x. Look at pic
Answer:
on the same question
help us
use screen shot i will mark brainliest :)
Answer: there is no screenshot :(
Step-by-step explanation:
A square has a perimeter of 4m^2. What is the length of each side?
Answer:
perimeter of a square = 4 * side
4 m^2 = 4 * side
side = 4/4
side = 1m
estimate the quotients 6.15 ÷ 31
Answer:the answer is 19.10 or 20
Step-by-step explanation:
the system shown is consistent, inconsistent, equivalent
Answer: Consistent (and independent)
Step-by-step explanation:
The meaning of the options are:
Consistent (and independent): There is only one point of intersection between the two lines.
Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.
Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.
In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.
Answer:
Consistent
Step-by-step explanation:
The graph shows Jill's walk home from school.
Distance
Time
Which statement best describes the graph?
A) Jill walked home very slowly.
B) Jill started walking, sat down for a rest and then continued
walking
C) Jill started walking, took a rest, walked some more and rested
again.
D) Jill walked and then ran walked more and then ran more.
Answer:
Step-by-step explanation:
The answer is B because the distance was the same for a while
Multiply: 14.3 x 0.5. SHOW YOUR WORK!
14.3x0.5 =7.15 all you have to do is line them up or do it old fashion way
Evaluate the expression.
131 +-5
Answer:
126
Step-by-step explanation:
131 + - 5 can either be;
131 + 5 = 136
131 - 5 = 126
The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.
Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?
Answer:
The length of other wall is 3 meters.
Step-by-step explanation:
Given that:
Length of one wall = 4 meters
Length of diagonal from one corner to opposite corner = 5 meters
As the room is rectangular, the diagonal will form a right angled triangle.
The diagonal will be the hypotenuse.
Using pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
Here,
a = 4 and c = 5
[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{9}[/tex]
b = 3 meters
Hence,
The length of other wall is 3 meters.
Simplify the following monomials pls
Answer:
1.) [tex]a^4b[/tex]
2.) [tex]p^3q^4[/tex]
3.) [tex]2n^4[/tex][tex]2n^4[/tex]
4.) [tex]5xy^2z[/tex]
5.) [tex]2a^3b^5[/tex]
I hope this helps:
Anyone please please answer (30points)
Answer:
Look in explanation
Step-by-step explanation:
for each k(x) value, plug the x into the given equation
-4: 1/2 (-4) -1 = -2-1=-3
all are solved this way
-2: -2
0: -1
2: 0
4: 1
ordered pair will be (x, (k(x))
for example (-4, -3)
do this for all other points
slope can be found by taking the change in y over change in x
so -2- -4 divided by -2 - - 3 = 2/1 = 2
slope = 2
hope that makes sense
If a car is worth 28,000 in 2019 and the value depreciates at8.5% per year, what will it be worth in 2030? The answer is 10,538.77 I just need help finding how to get that answer.
Answer:
Step-by-step explanation:
just take 8.5% of 28,020 off for ever year until you get to 2030.
8.5% is 2381.70
Take 2381.70 of 28,020 each year