Answer:
d
Step-by-step explanation:
For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8. 25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0. 8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1. 45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter
The school is 24.63 meters tall.
To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.
Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.
Therefore
(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)
Plug in the given values:
(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)
Solving for the height of the school:
Height of school = (0.8 * 1.45) / (8.25 - 0.8)
= 1.16 / 7.45
= 0.1562
= 24.63 meters
The school is 24.63 meters tall.
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during a lunch seminar chocolate caramel and strawberry toppings were available how many two-topping
There are 3 two topping sundaes possible.
How many two toppings are possible?It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and caramel topping. To answer this question, we thus apply the combinations formula.
Mixtures Formula:
C,n,x is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.
Cn,x = n! / x!(n-x)!
sundaes with two toppings are possible
2 of a set of 3 toppings (chocolate, caramel and strawberry). So
C3,2 = 3! / 2! (3 - 2)! = 3.
Three two-topping sundae combinations are conceivable.
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HELP ME PLEASE!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
No he's going to have to try this one again.
The y intercept is found by making x = 0
The original equation becomes
2y - 120 = 0 Add 120 to both sides
2y = 120 Divide by 2
y = 120/2
y = 60
The y intercept is 60
A base of 4 inches , height of 8 inches , the volume is 112 , Whts the length of the entire figure ?
Answer:
3.5
Step-by-step explanation:
To find a variable in volume with 2 lengths and the total, you divide the volume by the 2 lengths.
4x8=32
112/32=3.5
DOUBLE CHECK:
3.5x4=14
14x8=112
---
hope it helps
Use the table to work out the values of a, b, c, and d.
2
y = 2x – 2
-3
a
-2
-6
-1
b
0
-2.
1
a
d
Answer:
aaaaaaaaa x=3-2y
What is the name of 3 side?
The three sides of a triangle are referred to as the base, the height, and the hypotenuse.
The base and height of a triangle can be used to calculate the area of the triangle using the formula:
Area = (Base x Height) / 2
To calculate the hypotenuse of a triangle, the Pythagorean Theorem is used. The theorem states that the sum of the squares of the lengths of the two sides of a right triangle is equal to the square of the length of the hypotenuse.
The formula for the Pythagorean Theorem is:
a2 + b2 = c2
where a and b are the two sides of the triangle and c is the hypotenuse.
To calculate the hypotenuse of a triangle, the following steps are taken:
1. Measure the length of each side of the triangle.
2. Square the length of each side (multiply the length by itself).
3. Add the two values together.
4. Find the square root of the sum. This is the length of the hypotenuse.
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is this a right triangle 8,12,15
Answer:
I don't think so
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
If you insert your lengths, [tex]8^{2}[/tex]+[tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]
Combine the like terms
2g + 15 + 3g + g + g- 18
Answer:
7g - 3
Step-by-step explanation:
2g + 15 + 3g + g + g - 18
2g + 3g + g + g + 15 - 18
7g - 3
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.
How to find the television's measurements Calculation?Given: The generic version was created based on the brand name and was three eighths the size of the brand name.
12 inches by 24 inches is the size of the standard television set.
Allowing for x by y as the brand name's measurements
12 inches divided by three eighths
8/3 x = 12
x = 12 * 8 / 3 = 32 inch
and y=3/8 inches equals 24 inches
8/3 y = 24
y = 24 * 8 / 3 = 64 inch
As a result, the brand-name television has the following measurements: 32 by 64 inches.
Therefore, choice (C) is the appropriate response.
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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
a) 7.5 inches by 15 inches
b) 28 inches by 56 inches
c) 32 inches by 64 inches
d) 4.5 inches by 9 inches
Hassan plans to repaint some classroom bookcases. He has 1010 gallons of paint. All of the bookcases are the same size and each requires \tfrac{7}{8}
8
7
gallon of paint. What is the maximum number of complete bookcases he can paint?
Hassan can paint maximum 11 bookcases with 10 gallons of paint.
What are Fractions?A fraction represents a numerical value, which defines the parts of a whole.
Generally, the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.
The basics of fractions explain the top and bottom numbers of a fraction.
Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x. Hence, 1/4 is the fraction here.
Given,
Hassan has 10 gallons of paints.
1 bookcase requires 7/8 gallons of paint
Let Hassan paints x bookcases.
According to the question
7/8x = 10
7x = 80
x = 80/7
x = 11.43
But no. of bookcases should be in whole.
Number of bookcases painted with 10 gallons of paint = 11.
Hence, Maximum 11 bookcases can be painted by Hassan with 10 gallons of paint
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
B
Step-by-step explanation:
c=a^2+b^2=9^2+40^2=41
Find the y-value when x = 0 in the equation y = 2x + 3.
Answer:
Step-by-step explanation:
Y=2x+3
Y=2(0)+3
Y=3
in 2016, humans produced 29 billion tonnes of carbon dioxide. this is set to grow by around 40% by the year 2035. how many tonnes of carbon dioxide will be produced by humans in 2035? give your answer in standard form
will give the answers brainliest
Answer:
29000000000*140% = 40600000000
=40.6 billion
Step-by-step explanation:
right!!!
1 point
Find the length/distance between points (1,3) and (3,15).
Answer:
12.165525 is the answer
Select all the correct answers.
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water. Select all the true statements about the effect of the eighth day's amount on Joanna's daily amount distribution.
The interquartile range of the data increases when the eighth day's amount is included in the data.
The median amount of water is higher when the eighth day's amount is included in the data.
The interquartile range of the data decreases when the eighth day's amount is included in the data.
The median amount of water is the same with or without the inclusion of the eighth day's amount.
The average daily amount of water is the same with or without the inclusion of the eighth day's amount.
The interquartile range of the data decreases when the eighth day's amount is included in the data is true.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Joanna set a goal to drink more water daily.
The number of ounces of water she drank each of the last seven days is
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5
Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7
Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.
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Answer: It's just
The interquartile range of the data decreases when the eighth day's amount is included in the data.
Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.
Geometry - Should be pretty easy
Answer:
DQR
Step-by-step explanation:
DEF is complentary to DQR
Answer:
∆DQR
Step-by-step explanation:
You want the similarity statement if the triangles shown are similar.
SimilarityTriangles will be similar if they have congruent corresponding angles, or proportional corresponding sides.
No angles are shown in the figure, but side lengths are given.
We expect that if the triangles are similar that the corresponding sides will be ...
DE ⇔ DQEF ⇔ QRFD ⇔ RDProportionThe attached calculator display shows the ratios of these side lengths are the same: 14/3. That means ...
∆DEF ~ ∆DQR
<95141404393>
Don’t know need help
Answer:
37?
I am SO sorry if this is wrong
Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.
-4096
2048
4096
-2048
Answer: -4096
Step-by-step explanation:
I just did the lesson
Another one (last one!) it’s a test! Please no likes or something other than an answer!
Answer:
2, 6
Step-by-step explanation:
x always go first
a cylinder has a volume of 400 ft if the height of the cylinder is 25 ft what is the radius of the cylinder
Answer:
r = 2.25733059
round to whatever place your teacher wants.
Step-by-step explanation:
The formula for volume of a cylinder is
V=πr^2h
Plug in what we know
400 = πr^2(25)
divide both sides by 25
16 = π r^2
divide both sides by π (= 3.14)
r^2 = 5.0955414
then take the square root of both sides
r = 2.25733059
round to whatever place your teacher wants.
------------------------------------------
Kind of wishing the volume was 400π, lol. Would be easier to solve.
LMK if you have questions.
Point E is located at -12 on the number line.Point F is located at point 9 on the number line. What is the distance between Point F on the number line?
Answer:
21 points
Step-by-step explanation:
Point E is located at -12 that is 12 points less than zero. And Point F is located at point 9 which means that is 9 points after zero.
So the total distance will be 12+9= 21 points between the two locations Point E and Point F.
We add the total difference from the point zero to get the total distance between the two points.
Copy and complete each of the Diamond Problems below.
The pattern used in the Diamond Problems is shown at right.
b.
a.
0.32
12
"1
J
c.
9
2
d.
234
31
Core Connections, C
"
J
The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.
we have,
For Diamond Problems a
x+y=1.2
xy=.32
so value of x= .8 and y = .4.
for Diamond Problems b
x= 11
x+y=25.
so y= 14 and xy=11*14=154.
for Diamond Problems c
x=-7
y=-9
so x+y=-16 and xy= 63.
for Diamond Problems d
x+y=31
xy=234
x=13 and y=18
Is figuring out puzzles a skill?Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.
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Reduce 22/154
to its lowest form.
Answer: 1/7
Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.
Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation. Identify Ericka’s mistake.
Ericka’s mistake is in ''Step 2.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation.
Now,
Since, Ericka was solving an exponential equation.
Clearly, The equation is,
⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴
Step 1;
⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴
⇒ 5 ⁹ˣ⁺⁶ = 5 ² ⁽³ˣ ⁻ ²⁴⁾
Step 2;
⇒ 9x + 6 = 2 (3x - 24)
So, Ericka’s mistake is in Step 2.
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The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m
Answer:
all this for five points, you're not serious
Round your answer to the nearest hundredth.
B
?
65
А
7.
How do I solve x-5(x-1=x-(2 x-3)
Answer:
x = 2/3
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3)
x - 5x + 5 = x - 2x + 3
-5x + 5 = -2x + 3
-3x = -2
x = 2/3
please help, if you get it right i'll mark you brainliest!!!!!
Answer:
Step-by-step explanation:
Back
Area = L * W
L = 20
W = 8
Area = 20 * 8
Area = 160
2 Triangles
Area = 1/2 one smaller leg*other smaller leg
one smaller leg = 8
The other one = 15
Area = 1/2 8 * 15 = 60
But there are 2 of them 2 * 60 = 120
Base
L = 20
W = 15
Area = L * W
Area = 20*15 = 300
Front (slanted) Face
L = 20
W = 17
Area = L * W
Area = 20*17 340
Total 920
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
( 8 + 27) + 52 and 8 + (27 + 52)
Which one is correct
yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent
Answer:
yes, it uses the Associative Property
Step-by-step explanation:
The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.
image below if ur able to answer it u r a math god
Answer:
B 20 is the Q2 of the set shown above
Answer:
thx
Step-by-step explanation: