At 10 am, a building casts a shadow that is 98 feet long. At the same time, a 5 feet tall man casts a shadow that is 4 feet long. Find the height of the building.
Plzzzz help me ??!?!?!??
Pythagorean Theorem is for right triangles
right triangles have a 90 degree angle in them
D is a right triangle
A realtor listed a house that was 45 yards by 10 yards. What is the total square footage of the house?
Answer: There is 1500 squared feet of the house.
Explanation:
Since we have given that
Dimensions of a house is given by
[tex]45\ yards\ and\ 10\ yards[/tex]
So, we need to find the square footage of the house ,
Area of house is given by
[tex]Length\times Breadth\\=45\times 10=4500\ yards^2[/tex]
Now, we'll change it into feet ,
As we know that
[tex]1\ yard=3\ feet[/tex]
So, total squared footage of the house is given by
[tex]\frac{4500}{3}=1500\ feet^2[/tex]
Hence, there is 1500 squared feet of the house.
Alvin is 12 years older than Elga. The sum of their ages is 112. What is Elga's age?
When an elderly man passed away, he had left each of his 4 children 25% of his estate If he had $72,000, how much did each child receive
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm deep.
(1 gallon = 231 in3, 1 inch = 2.54 cm)
hich of the following scenarios will happen?
The paint will not fill the tray by 441 cm3.
The paint will not fill the tray by 10.53 in3.
The paint will fill the tray exactly.
The paint will overfill the tray by 10.53 in3.
find volume of tray:
convert 4cm to inches 4/2.54 = 1.575 inches
volume = 10*14*1.575 = 220.47 cubic inches
1 gallon = 231 cubic inches
231-220.47 = 10.53 more paint in a gallon
so the paint will over fill the tray by 10.53 in3
Answer:
The answer is:
The paint will overfill the tray by 10.53 in3 (cubic inches).
Step-by-step explanation:
In order to determine the correct option, first we have to get the volume of the tray.
The volume of the tray is a solid prism, where its formula is:
width=10 in
length=14 in
deep=4 cm=[tex]\frac{4}{2.54} =1.575[/tex] in
Volume=[tex]10*14*1.57=220.5[/tex] cubic inches
The value of the deep measure was changed from cm to inches units.
We subtract the allowed volume of the gallon with the volume tray:
231-220.5=10.5 cubic inches
It means that 1 gallon of paint is enough to paint the tray, where the remaining paint is 10.5 cubic inches.
Finally, the correct option is:
The paint will overfill the tray by 10.53 in3 (cubic inches).
this,is multiplication variables 2 (5x × 3y)=
In a recent year, 31.1% of all registered doctors were female. If there were 56,900 female registered doctors that year, what was the total number of registered doctors?
Farmer George is painting 3 chicken coops. He started painting this morning. Now he only has 3/4 of a chicken coop left to paint this afternoon. how many chicken coops did farmer George paint this morning
Farmer George has painted 2 1/4 chicken coops this morning. This is calculated by subtracting the remaining part of the chicken coop(3/4) from the total chicken coops(3).
Explanation:Farmer George had 3 chicken coops to paint in total. He only has 3/4 of one chicken coop left to paint. We can subtract the amount of work left from the total amount of work to figure out how much work he has done already.
So, if we take the total amount of chicken coops (which is 3) and subtract the remaining part that needs painting (which is 3/4), we will know how many chicken coops Farmer George has painted this morning.
The calculation is as follows: 3 - 3/4 = 2 1/4 coops
So, Farmer George completed painting 2 whole chicken coops and 1/4 of the third chicken coop this morning.
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Farmer George painted 2.25 chicken coops this morning. This is calculated as the total number of chicken coops (3) minus the remaining part of the chicken coop left to paint (3/4).
Explanation:The question is asking us about how many chicken coops Farmer George painted this morning. Farmer George started with 3 chicken coops and now has 3/4 of a chicken coop left to paint. Since he's already started painting the last chicken coop, this means he has painted 2 whole coops and 1/4 of the last coop. Thus, the answer to how many chicken coops Farmer George painted this morning is 2.25 chicken coops. Mathematically, this is calculated as 3 (the total number of chicken coops) minus 3/4 (the remaining part of the chicken coop left to paint).
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if the area of a square is 529 in 2 , what is the length of a side of the square
A quadratic equation is shown below:
16x2 − 8x + 1 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 4x2 − 8x − 45 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
8x-2y-5=11 write the equation in function form
How does ray ab and ac form both a line and angle
Find the equivalent function to f(x) = 3(6)^2x
Answer:
f(x) = 3(36)x
f(x) = 182x
f(x) = 108x
f(x) = 9x(36x)
Step-by-step explanation:
x/10+5/12= 3x-1 what is x
What is the rate of change of the linear relationship modeled in the table?
x y
1 2
3 5
5 8
7 11
(4 points)
a) negative three over two
b) two over three
c) 1
d) three over two
What is the solution to the following equation?
2(3x − 7) + 18 = 10
1
3
5
6
Please help!!
Which of the following is a true statement? (round to the nearest tenth as needed)
A If 12n = -6, then n = -6
B If 12n = -6, then n = 0.5
C If 12n = -6, then n = -2
D If 12n = -6, then n = -0.5
write with fractional exponents. (do not use parenthesis) (4)√y^3)
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons. Gallons Price 3 9.15 5 15.25 7 21.35 Gas station B has an equation that represents the price, p, for gallons, g, of gasoline as p = $3.08g. Which gas station sells gasoline at a lower rate? What price does it charge? Gas station A sells gasoline at a lower rate. Its price is $3.08 per gallon. Gas station B sells gasoline at a lower rate. Its price is $3.05 per gallon. Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon. Gas station B sells gasoline at a lower rate. Its price is $3.08 per gallon.
Charlott is running at a rate of 9 km/h. What is charlotte's speed in m/s?
Answer:
The Charlott's speed in m/s is 2.5 m/sec
Step-by-step explanation:
Given : Charlott is running at a rate of 9 km/h.
We have to find the Charlott's speed in m/s.
Consider the given speed of Charlott is 9 km/h.
Since, 1 km = 1000 m
and 1 hour = 3600 sec
Therefore, [tex]9\frac{km}{hr}[/tex] becomes,
[tex]9\frac{km}{hr}=9\times\frac{1000\ m}{3600 \ sec}=2.5[/tex]
Thus, The Charlott's speed in m/s is 2.5 m/sec
25(y+1)-x^2(y+1) i don't know the answer
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.
Answer the question if you cant see all the answers it don't matter all u need is the question
area for triangle = 1/2 x h x b
so 1 triangle = 1/2 x 5.12 x 3.23 = 8.2688 since the triangles are congruent they are equal so 8.2688 x 2 = 16.5376
round that up to 17
Answer is C 17 square inches
The steps below show the incomplete solution to find the value of x for the equation
7x − 3x − 4 = −1 + 21:
Step 1: 7x − 3x − 4 = −1 + 21
Step 2: 7x − 3x − 4 = 20
Step 3: 4x − 4 = 20
Which of these is most likely the next step?
4x = 24
4x = 16
4x = 5
4x = 80
The most likely step after the step3 is 4x = 24.
Linear Equation in one variable:
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
we have, a linear equation in variable x, 7x - 3x -4 = -1 + 21
For solving the above equation we will do the following steps
7x -3x -4 = -1 +21
Step1: 4x - 4 = 20
Step2: 4x - 4-20= 0
Step3: 4x -24 = 0
Step4: 4x = 24
Step5: x =24/4 =6
Hence, the most likely step after the step3 is 4x = 24.
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someone help me plz.
Describe how you can tell that a fraction corresponds to a repeating decimal and not a terminating decimal
Correct answer gets brainliest
Is 2/3 closer to 1 or 1/2
The 2/3 fraction would be closer to 1/2.
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.
To make them all into decimal points, which allows you to compare them easier than in fraction form. this is done by dividing the denominator by the numerator.
2/3 = 0.66
1/2 = 0.5
1 = 1.00
The answer would be closer to 1/2.
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Final answer:
When comparing 2/3 to 1 and 1/2, 2/3 is closer to 1/2 than 1.
Explanation:
When comparing the fraction 2/3 to 1 and 1/2, we can determine which it is closer to by analyzing the numerical values. To do this, we can convert both 1 and 1/2 to fractions with the same denominator as 2/3, which is 3.
1 as a fraction with a denominator of 3 is 3/3. Comparing 2/3 and 3/3, we can see that 2/3 is closer to 1 than 3/3.
On the other hand, 1/2 as a fraction with a denominator of 3 is 3/6. Comparing 2/3 and 3/6, we can see that 2/3 is closer to 1/2 than 3/6.
Therefore, we can conclude that 2/3 is closer to 1/2 than 1.
The variable Z is directly proportional to X. When X is 3, Z has the value 57. What is the value of Z when X = 8