Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.
The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.
Therefore, the ratio of the dimensions of the actual room to that of the scale model is:
length: 15m / 5m = 3 : 1
width: 9m / 3m = 3 : 1
height: 12m / 4m = 3 : 1
So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)
The ratio of the dimensions of the scale model to that of the actual object is 1:16
so to find the length and width of the actual object, you can use this relation
length = scale model length * 16 = 2.416 = 38.4m
width = scale model width * 16 = 1.816 = 28.8m
So the length and width of the actual object are 38.4m and 28.8m respectively.
Step-by-step explanation:
A bird flew from the ground onto a tree branch 5 feet above the ground.What could the bird do next that would make this situation a model of combining a number and its additive inverse
We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.
We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse
Additive inverse - What you add to a number to get zero is additive inverse.
The negative of a number.
Now we are told What could the bird do next that would make this situation a model of combining a number and its additive inverse
Since it already flew 5 feet above the ground .
Additive inverse of 5 feet is -5 feet
So, to make the situation of combining a number and its additive inverse
Bird has to flew 5 feet return to the ground i.e.-5 feet
So, a model of combining a number and its additive inverse = 5+(-5)
= 0.
Fly down 5 feet and return to the ground.
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Answer:
Fly down 5 feet and return to the ground.
Step-by-step explanation:
have a nice day.
what is the perimeter of the triangle?
Answer:
the picture is messed up
Step-by-step explanation:
Answer:
34?
Step-by-step explanation:
P=a+b+c=10+12+12=34
Which equation with exponential expression are true?
Answer: B,D
Step-by-step explanation:
Please help I beg of you
Answer:
ok so the answer is 191.4250159
Step-by-step explanation:
you use this C = 2√πA to solve. I hope this helps!
I NEED HELPPPPPPP
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.
Answer:
Since she needs 10 cones:
10 * 116.52 sq. ft = 1,165.2 sq ft.
She will need 1,165.2 sq ft of material.
Step-by-step explanation:
Use this rule to fill in the table.
Rule: Subtract 6 from the input to get the output.
Answer:
1= 1
2=11
3=7
Step-by-step explanation:
subtract 6 from the input so
7-6=1
11-6=5 so input 11
13-6=7
Answer quickly please. No links please. The length of the minute hand is 150% of the length of the hour hand.what distance will the tip of the minute hand move in 45 minutes? round to the nearest hundredth. the minute hand will move ? Answer quickly please.
Answer:
108π mm.
Step-by-step explanation:
The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
he distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.b.The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..c.The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.d.The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.
The option a "The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance." is correct.
In the given question, we have to write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.
As we know that the distance formula is the multiplication of of speed and time.
So, the distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.
So the option a is correct.
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The complete question is:
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hours while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.
a. The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.
b. The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours.
c. The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.
d. The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.
I have to try and find the volume of the cone
Answer:
1,282.2 m³
Step-by-step explanation:
We'll use the formula 1/3*(B*h)
First, you have to find the area of the base
formula: πr²
radius: 7
7*7= 49
49*3.14=153.86
Now, multiply 153.86 by 25 (the height)
153.86*25= 3,846.5
Lastly, divide 3,846.5 by 3 and get 1,282.2 rounded
please and thank you help with math!!
Answer:none of these
Step-by-step explanation:
On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year
So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.
A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.
B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.
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A certain star is 5.5 times 10 to the second power light years from the Earth. One light year is about 5.9 times 10 to the twelth power miles. How far from the earth (in miles) is the star?
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answer:
Step-by-step explanation:
3.245e+13
Do the following lengths form a right triangle?
6
8
9
Answer:
No
Step-by-step explanation:
You can check using pythagoras theorem
Which values of x are solutions of the equation below
1/x-4 + x/x-2=2/x^2-6x+8
X=-1
X=-1,4
X=2
X=2,4
Answer:
x = 3.3 and -0.3
Step-by-step explanation:
Given the expression
1/x-4 + x/x-2=2/x^2-6x+8
Find the LCM
x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8
Since the denominator, are the same they cancels out
x +1 + x(x-4) = 2
x+1 + x²-4x = 2
x²-3x + 1 - 2 = 0
x² - 3x - 1 = 0
Factorize
x =3±√9+4/2
x =3±√13/2
x = 3±3.6/2
x= 6.6/2 and -0.6/2
x = 3.3 and -0.3
Answer:
its -1 trust me I used another website to answer this question
Step-by-step explanation:
I took the diagnostic also
In ΔABC, if AB = BC and
Answer: not enough to answer
6. If l // k and k // m, then
Answer:
If l //k and k// m then L//mSo, option D is your answer
Step-by-step explanation:
If 2 lines are parallel to A Third line, then the 2 lines are parallel.
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hope it helps..
have a great day!!
One line passes through the points (-4, 2) and (0,3); another line passes through the points
(-3,-2) and (3,2). Are these lines parallel, intersecting, perpendicular, or identical?
The six sides of a number cube are labeled 1,2,3,4,5,and six you flip a coin and roll the number cube what is the theoretical probability that the coin lands on heads and u roll the cube and the number is less then 5. Write your answer as a fraction
The theoretical probability that the coin lands on heads and roll the cube and the number are less than 5 is 1/3.
What is an event?
An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.
There are 6 faces of a cube.
The numbers less than 5 on a cube are 1, 2, 3, 4.
The number of favorable outcomes is 4.
The total number of outcomes is 6.
The probability of getting less than 5 is
favorable outcome/ total number of outcomes = 4/6 = 2/3.
The number of faces of a coin is 2.
The number of heads of a coin is 1.
The probability of getting head is 1/2.
The probability of getting less than 5 in a roll and head in the coin is
2/3 × 1/2 = 1/3.
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What is the degree of the polynomial 7x³ 5x 4x³ 2x²?
The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.
The degree of a polynomial is the highest power of x in the polynomial.
In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.
It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.
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Helpppppppppp pleaseeee
Angle of elevation please help if you know .tysm
Answers:
Y = 176.0 feetX = 128.7 feetNote: Your teacher may not want you to type "feet" into the answer boxes.
=============================================================
Explanation:
The tree's shadow is 120 ft long, so it's the length of the horizontal side of the triangle. With regard to the reference angle (47 degrees), this 120 ft side is adjacent to the angle because it's as close as possible to the angle. That means the X is the opposite side of the reference angle.
The Y side is the longest side. It's the hypotenuse. The hypotenuse is always the longest side and always opposite the largest angle of a right triangle (so it's always opposite the 90 degree angle).
-------------
To find Y, we'll use the cosine rule
cos(angle) = adjacent/hypotenuse
cos(47) = 120/Y
Y*cos(47) = 120
Y = 120/cos(47)
Y = 175.9535 .... make sure your calc is in degree mode
Y = 176.0
When rounding to the nearest tenth, the second '5' will bump that 9 up to 10, which then carries over and why 175 bumps up to 176.
The distance from the tip of the tree to the tip of the shadow is roughly 176 feet.
-------------
We can use the tangent rule to find X
tan(angle) = opposite/adjacent
tan(47) = X/120
120*tan(47) = X
X = 120*tan(47)
X = 128.6842
X = 128.7
The tree is roughly 128.7 feet tall
This is somewhere between a 12 story and 13 story building assuming each story is 10 ft (since 12 stories = 12*10 = 120 ft, and 13 stories = 130 ft).
BRAINLIEST TO BEST IN DEPTH ANSWER (NO BRAINLY IF DOESN'T ANSWER ALL QUESTIONS
HELP PLEASE!! this is 8th grade math btw
Answer:
the 2nd one
Step-by-step explanation:
Denise dusted a square tabletop with an area of 36x^16y^4 units write an expression to represent one side length of the table top
The length of the side of the table top as calculated from the given data will be 6x⁴y².
To calculate the area of the table top we will have to square of the sides given .
area =(36x.16y^4 )²
side =√(36x.16y^4 )²
= 6x⁴y².
In mathematics the product of a number multiplied by itself is considered to be its square. Eg.) 6 multiplied by 6 gives 36 which is known as its square.
The given table is square in shape and hence its area will be given my multiplying its side with itself.
Area of a square = side x side.
To find its length we can simply find the square root of the number.
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What is the slope of the line passing through the points − 3 4 and 2 − 1?
Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1
What is a Straight Line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.
Define Slope.A line's steepness may be determined by looking at its slope. The slope is computed mathematically as "rise over run" (change in y divided by change in x). Also, The slope of a line is known as "m", is the ratio of the change in the y-coordinate to the change in the x-coordinate of two points on the line.
To find the slope of a line passing through the points (-3,4) and (2,-1), we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, using the given points:
m = (-1 - 4) / (2 - (-3))
m = -5 / 5
m = -1
Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1
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How many 2/3s are in 2?
On solving the provided question we can say that - in fractions 2/3 and 2 we can do 2/3X2 = 4/3
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here,
in the given fractions 2/3 and 2/1,
we can do that -
2/3 X 2/1 = 4/3
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Solve each system by elimination
-3x-6y=-3
5x+5y=0
Answer:
x=1 and y=−1
Step-by-step explanation:
Multiply the first equation by 5,and multiply the second equation by 6.
5(−3x−6y=3)
6(5x+5y=0)
Becomes:
−15x−30y=15
30x+30y=0
Add these equations to eliminate y:
15x=15
Then solve15x=15for x:
15x=15
15x
15
=
15
15
(Divide both sides by 15)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−3x−6y=3
Substitute1forxin−3x−6y=3:
(−3)(1)−6y=3
−6y−3=3(Simplify both sides of the equation)
−6y−3+3=3+3(Add 3 to both sides)
−6y=6
−6y
−6
=
6
−6
(Divide both sides by -6)
y=−1
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
5
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
orgoi2rv
PLS HELP! THANKS!
look at image I provided.
Answer:
m = 8h
Step-by-step explanation:
For any given h value (number of hours), the m value is h * 8. For example, after 2 hours, she has earned 16 dollars. h is 2 and h * 8 = 16.
Answer:
m = 8h
Step-by-step explanation:
She earns 8 dollars per hour.
For example:
If she worked for 5 hours she would earn 40 dollars.
m = 8(5)
m = 40
write the frraction 7/14 in simplest form
Answer:
To find the simplest form is to find a number than can evenly go into both numbers. 7/14=1/2. 1/2 as you can divide 7 into 7 one time and 7 into 14 twice. A half (1/2). Because 7 is the half of 14, so the simplest form is 1/2. At first look you think it's already in its simplest form, but
explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{7}{14}}\\\\\\\mathsf{= \dfrac{7\div7}{14\div7}}\\\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]