Charles decides to use the method of proportions and similar
triangles to find the height of a lamppost. He measures the length of
the post's shadow and finds it is 10 feet long. Then he holds a 12-inch
ruler perpendicular to the ground and finds that it casts a 4-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 4.8 ft d. 120 ft
Answers
Answer:
C. 30 ft.
Step-by-step explanation:
10 = x
12 = 4
Divide by 4
1inch shadow = 3 inches height
1 inch of a shadow is 3 inches
10 feet is 120 inches
120 * 3
360 inches height = 30 ft
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Related Questions
hi, can anyone help me please
Answers
Answer:
D
Step-by-step explanation:
A is incorrect because 5 cubed is not -125. it is positive 125.
B is incorrect because -3 cubes is not 27, it is negative 27.
C is incorrect because -10 squared is also 100, not only 10 squared.
D is correct because both -12 squared and 12 squared equal 144.
Answer:
D
Step-by-step explanation:
This is a scale drawing of a deck. The actual deck has a perimeter of 120 ft. Draw another scale drawing of the deck using the scale 15 ft to 1 unit from the deck to the drawing. Explain your reasoning.
Answers
The scale 15 ft to 1 unit from the deck to the drawing will give a perimeter of 8 units.
How to calculate the scale?From the information, the actual deck has a perimeter of 120 ft.
Therefore, another scale drawing of the deck using the scale 15 ft to 1 unit from the deck to the drawing will be:
= Normal perimeter / Scale used
= 120 / 15
= 8
Therefore, the scale 15 ft to 1 unit from the deck to the drawing will give a perimeter of 8 units.
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Answer:
Ok, so all you have to do is make the whole thing 15 times bigger, like for instance the three units on the side, multiply by 15, and sma eto all the other sides then draw your shape
Step-by-step explanation:
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!!WILL GIVE 100 POINTS!!
Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical. 20 students from that class have tickets. Select all the equations that can be used to find the number of students, m, in Bryan’s homeroom.
A. 4 - 1/2m = 20
B. 1/2m + 4 = 20
C. 1/2m - 4 = 20
D. 4 = 20 - 1/2m
E. 20 + 1/2m = 4
Answers
Answer:B. 1/2m + 4 = 20
Step-by-step explanation: you match up using key words such as more than is plus , half is 1/2 .
Answer:m, in Bryan’s homeroom is:
B. 1/2m + 4 = 20
Step-by-step explanation:
The problem states that "four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical", and that "20 students from that class have tickets". Let m be the total number of students in Bryan's homeroom.
If you have 72% and 89% how do you confirm that the mean is 80.5%?
Answers
Ms. Larsen is buying 2 delivery vans for her business. The price of the first van is shown below. 16,257. The digit 2 in the price of the
Answers
The amount that could be the price of the second van in the considered case is given by: Option A: $12,987
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on.
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on
The tens means multiply by 10
The tenth means tenth part of that digit which is that digit divided by 10
The xth position in left of decimal point in a number from decimal number system has value of \(10^{x-1}\) per unit.
Thus, if the number is 73.46, then the value 7, which is on 2nd position have \(10^{2-1} = 10\) values per unit. Since it is 7, so 7 times 10 = 70 value.
We can write 73.46 = 70 + 3 + 0.4 + 0.06
Firstly, the question is missing options and some part of the orignal question.
The questions says that the price of the second van has a digit 2 which is 10 times the value of the digit 2 in the price of the first van.
The options for second van's price are:
$12,987$15,927$17,257$21,579The price of the first van is $16,257
We use the decimal number system, the place value of 2 is 100th (as there are two digits in the left of 2 (without decimal point) for each unit. 2 is 2 units, so value of 2 in the price of first van is \(2 \times 100 = 200\)
The second van's price has value of 2 10 times more than value of 2 in price of first van.
That means its value is 200 times 10 = 2000
The xth position in left of decimal point in a number from decimal number system has value of \(10^{x-1}\) per unit.
Here \(2000 = 2 \times 10^{4-1}\)
That shows 2 should be on 4th place in the price of the second van.
From the options available, we see that the correct option is $12,987 as there is 2 on the fourth place.
Thus, the amount that could be the price of the second van in the considered case is given by: Option A: $12,987
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The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answers
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
please help I don't get it
13 POINTS !!
Answers
Answer:
114
Step-by-step explanation:
40 points to whoever get these right!! <3
Answers
{11, 14, 22}
Step-by-step explanation:Triangle Inequality Theorem states that two sides of a triangle must be greater than the third side.
Using this method, the answer is {11, 14, 22} because 11+14>22, 11+22>14, and 14+22>11
[2] Answer:x = 67°
Step-by-step explanation:Same-side interior angles are supplementary.
x° + 113° = 180°
x° = 180° - 113°
x = 67°
[3] Answer:r = 2°
Step-by-step explanation:The little box represents 90 degrees, meaning that these angles are complementary.
9r + 2° + 70° = 90°
9r + 72° = 90°
9r = 18°
r = 2°
word word
Which angles are adjacent to CED? Select all that apply.
Answers
-4d -3 + 5d4 - 8d4 + 7
Answers
Answer:
-3d4 - 4d + 4
Step-by-step explanation:
5d4 - 8d4 and -3+7
-3d4 - 4d + 4
Evaluate
5d ⁴ −8d ⁴
Collect like terms
(5−8)×d ⁴
Then Add the coefficients −3d ⁴
Charles can ride his bike 4 miles in 20 minutes. Which of the following ratios show the number of miles to minutes Charles can ride his bike?
1. 24:1
2. 1:4
3. 4:24
4. 1:5
Answers
1:5
Step-by-step explanation:
He rode one mile in 5 minutes because 4/4 is 1 and 20/4 is 5
Natalie is moving and must rent a truck. There is an initial charge for the rental plus a
fee per mile driven. Let C represent the total cost of renting the truck when the truck
is driven m miles. The table below has select values showing the linear relationship
between m and C. Determine how many miles Natalie could drive if she wanted to
keep the total charge to $36.00.
Answers
Answer: m=4
Step-by-step explanation:
What is the slope of the line y=35x+7 ?
Answers
Answer:
Slope is 35
Step-by-step explanation:
Answer: slope is 35
y-intercept: (0,7)
Step-by-step explanation:
rrMake a value for n so that the compound inequality -n
Answers
Answer:
their is no answer for that
Step-by-step explanation:
1 Simplify the following expressions: 1) -4(a + 2) - a
A -5a - 6
B -4a + 6
C -5a -8
D 5a + 8
2 Simplify the following expressions: 2) -0.5(4 + 2x) - 4.3
A x + 6.3
B x - 6.3
C -x - 6.3
D 2x - 6.3
3 Simplify the following expressions: 3) -2(x - 3) - (x + 4)
A -3x + 2
B -3x + 3
C 3x - 2
D 3x - 3
Answers
2. C)-2 - x - 4.3= -6.3 -x
3.A) -2x+6-x-4= -3x+2
hope it helps
During a winter cold spell the temperature change was -1.2 f per hour for a period of 4.5 hours which expressions can be used to find the overall change in the temperature during that time period.
A.) 4.5 divided (-1.2) degrees Fahrenheit
B.) 4.5x (-1.2) degrees Fahrenheit
C.) 4.5 - (-1.2) degrees Fahrenheit
D.) (-1.2)+(-1.2)+(1.2)+(1.2) degrees Fahrenheit
E.) 4(-1.2)+(0.5)(-1.2) degrees Fahrenheit
Answers
Answer:
B.) 4.5x (-1.2) degrees Fahrenheit
33.
Find the value of the expression: (5 + 7)2
a. 24 c. 144
b. 74 d. 54
Answers
Answer: a. 24
Step-by-step explanation:
We will simplify using PEMDAS.
Given:
(5 + 7)2
Add:
(12)2
Multiply:
24
a. 24
Hello!
\((5+7)2\)
\(5+7=12\\12*2=24\)
Your answer would be A. 24
Hope this helps!
Use Morgan's strategy of working backwards to find the original number.
The table below has been started for you.
Answers
Answer:
x = 5
Step-by-step explanation:
working backwards means that you take the final product then reverse every step you've done to it to receive the starting number.
((29+10)/3)-8 = (39/3)-8 = 13-8 = 5
please double check and hope this helped!
A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next.
Time and Depth of Submersible
2:15 p.m.
2:16 p.m.
2:17 p.m.
2:18 p.m.
–40 feet
180 feet lower
175 feet lower
185 feet lower
Answer the questions to find the depth of the submersible after 3 minutes.
1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m.
Answers
true or false: Two numbers are reciprocals of each other if they have different signs in front.
Answers
Answer:
yes if they are flipped fractions of each other
Step-by-step explanation:
If Lily had 3 cans with 4 beans in each one how many beans will there be?
Answers
Answer:
12
Step-by-step explanation:
that's the same as 4+4+4 or 4*3 so it is 12
help me i beg you i don't get this kind of questions (20) points
Answers
X^2 on the bottom row would be 4
X^3 on the bottom row would be 8
I only know + I don’t know - pls helpp!!
Answers
Answer:
x=31
Step-by-step explanation:
Since these angles are on a straight line, they are supplementary (combine to make 180 degrees. Therefore we can set up an equation to find x.
(5x-16)+(x+10)=180
Drop the parentheses.
5x-16+x+10=180
Combine like terms.
6x-6=180
Add 6 to both sides.
6x=186
Divide both sides by 6.
x=31
HTH :)
How you solve this is:
The whole line equals to 180 degrees so add 5x-16+x+10=180 that’s will be your equation. And then subtract 10 to 180 so then it will be 5x-16+x=170 then add 16 to 170 and you will be left with 5x+x=186 add the x’s together and get 6x divide 6 to 186 and then x=31
Lin wants to get some custom t-shirts printed for her basketball team. If `10` or fewer shirts are ordered, each t-shirt costs `$10`. If `11` or more shirts are ordered, each cost `$9`.
1) Create a graph that shows the total cost of buying shirts, for `0` through `15` shirts.
2) There are `10` people on the team. Do they save money if they buy an extra shirt?
a) Yes
b) No
Answers
The volume of the cylinder is 62.83 cubic cm and the volume of. the cone is 20.94 cubic cm.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
We know that,
It should be noted the to calculate the volume of a cylinder, we can use the formula V = πr²h, where r is the radius and h is the height. In this case, the height and radius of the cylinder and cone are the same.
For the cylinder:
Volume = π(2cm)²(5cm)
V = 20π
For the cone, we can use the formula
V = (1/3)πr²h:
V = (1/3)π(2cm)²(5cm)
V = 20/3π cubic cm (exact value)
Hence, to get an approximate decimal value, we can use a calculator to evaluate:
Volume of cylinder ≈ 62.83 cubic cm
Volume of cone ≈ 20.94 cubic cm
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Complete question:
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone. Enter your answers as a whole number or fraction
Cylinder:
π cm3
Cone:
π cm3
Flag question: Question 2
Question 21 pts
The volume of this cone is cubic units.
A drawing of a cone.
What is the volume of a cylinder that has the same base area and the same height?
π
Flag question: Question 3
Question 31 pts
A cylinder has a diameter of 6 cm and a volume of cm3.
Sketch the cylinder.
Find its height and radius in centimeters.
Label your sketch with the cylinder's height and radius.
Radius:
cm Height:
cm
Flag question: Question 4
Question 41 pts
Lin wants to get some custom T-shirts printed for her basketball team. Shirts cost $10 each if you order 10 or fewer shirts and $9 each if you order 11 or more shirts.
1. Make a graph that shows the total cost of buying shirts, for 0 through 15 shirts.
2. There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.
No
3. What is the slope of the graph between 0 and 10? What does it mean in the story?
The slope is
5
which represents the
Shirts per $1
for the first 10 shirts
4. What is the slope of the graph between 11 and 15? What does it mean in the story?
The slope is
7
which represents the
Price per 1 shirt
for 10-15 shirts
Flag question: Question 5
Question 51 pts
In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Match a possible story to each graph.
Group of answer choices
Left graph
A student leaves school and walks to a friend’s house that is halfway between school and their house. After spending some time at a friend’s house, the student continues walking home.
Center graph
An athlete leaves school to go home for a while, then returns to school for a game later in the evening.
Right graph
A parent starts from their workplace and drives directly to school to pick up their daughter.
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Lorenzo’s test scores are shown below.
Lorenzo’s Test Scores
A dot plot titled Lorenzo's Test Scores. A number line going from 80 to 90. 0 dots are above 80, 81, and 82, there is 1 dot above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Anika’s test scores are shown below.
Anika’s Test Scores
A dot plot titled Anika's Test Scores. A number line going from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 dots above 84, 2 above 85, 2 above 86, 3 above 87, and 0 dots above 88, 89, and 90.
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Answers
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
In other words "D" trust me
Solving Equations with Variables on Both Sid
Answers
Answer: -24
Step-by-step explanation:
Answer:
answer is -3
Step-by-step explanation:
Study the stem-and-leaf plot. How many cars get 8 miles per gallon?
Answers
Answer:
The answer is 0. The pic is blacked out but I had the question before so here you go! At least I think I did..
Step-by-step explanation:
Sorry if it is incorrect! :(
Please help me solve this, it's for a Kahn academy assignment.
Answers
Please give me brainliest
Rewrite 4×4×4×4×4 using an exponent.
Answers
Answer:
\(4^{5}\)
Step-by-step explanation:
We have been learning about this, and this is how you do it
Explain how you might go from gallons to cups using more than one conversion factor.
Answers
Answer:
because it’s different system
Step-by-step explanation: When going from the metric system to another, You do conversion factor.
Answer:
because it’s different system
Step-by-step explanation: