Help me if you are good at finding areas please? A sticker on the rear window of a truck is rectangular in shape with two green triangular sections, as shown below. The two triangles are similar. If AB = 12 cm, BC = 6 cm, and EF = 4.5 cm, what is the total area for both triangles? (Check the picture)
Answers
Answer:
[tex]\frac{x}{y}[/tex]45 long
Step-by-step explanation:
The total area of both the triangles is 56.25 square units.
What is the scale factor of similar triangles?When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
What is area?The space occupied by a flat shape or the surface of an object is called area.
What is the formula for area of triangle?Area = (1/2) × base × height
According to the given question.
We have a two triangles, which are similar to each other.
Let the length of the side DE in triangle DEF be x.
Since, ABC similar to DEF
⇒[tex]\frac{AB}{DE} =\frac{BC}{EF}[/tex]
⇒[tex]\frac{12}{x} =\frac{6}{4.5}[/tex]
⇒[tex]\frac{12(4.5)}{6} = x[/tex]
⇒[tex]2(4.5)=x[/tex]
⇒ [tex]x = 9[/tex]
Now, area of triangle ABC = [tex]\frac{1}{2}(6)(12)=36 square units[/tex]
Area of triangle DEF = [tex]\frac{1}{2} (9)(4.5)= 20.25square units[/tex]
Therefore,
The total area for both the triangles
= 36 + 20.25
= 56.25 square units
Thus option B is correct.
Find out more information about area of similar triangles here:
https://brainly.com/question/16394875
#SPJ2
Related Questions
The table shows the heights of some United States
waterfalls. What is the height of each waterfall?
Answers
In order: 620, 256, and 212
Explanation:
2^2 • 5 • 31
4 • 5 • 31
20 • 31
620
2^8
2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
4 • 4 • 4 • 4
16 • 16
256
2^2 • 53
4 • 53
212
A national study report released by the Center for Studying Health System Change (HSC) in 2010, indicated that 20.9% of Americans were identified as having medical bill financial issues. Many people in families with problems paying medical bills in 2010 experienced severe financial consequences from their medical debt, with about two-thirds reporting problems paying for other necessities and a quarter considering bankruptcy, the study found. What if a news organization randomly sampled 400 Americans from 10 cities and found that 90 reported having such difficulty. A test was done to investigate whether the problem is more severe among these cities. The result of this test is ________.
Answers
Answer:
The result of this test is 0.2156
Step-by-step explanation:
Given the data in the question;
The proportion of Americans having medical bill financial issues is ;
p = 20.9% = 0.209
CLAIM;
The problem is more severe among the cities
so
H₀ : p = 0.209
H₁ : p > 0.209 { this is our claim }
population n = 400
number of people that reported difficulty x = 90
so
sample proportion p" = x / n = 90 / 40 = 0.225
Test Statistics;
z = [ (p"-p) / √( (p(1-p))/n ) ]
we substitute
z = [ (0.225 - 0.209) / √( (0.209(1-0.209)) / 400 ) ]
z = [ 0.016 / √0.0004132976 ]
z = [ 0.016 / 0.0203297 ]
z = 0.787
P-VALUE
p-value = P( Z ≥ z )
p-value = P( Z ≥ 0.787 )
p-value = P( Z ≤ -0.787 )
from normal distribution table;
p-value = P( Z ≤ -0.787 ) = 0.2156
p-value = 0.2156
Therefore, The result of this test is 0.2156
A sphere has a radius of 12 inches. What is its volume
Answers
Answer:
26899 in³
Step-by-step explanation:
The volume of a sphere of radius r is V = (4/3)πr³.
If the radius is 12 in, then the volume is V = (4π/3)(12 in)³, or approximately 26899 in³
HELP ME PLEASE I'll give brainless.
Answers
∠IJG = ∠FGE (they are corresponding angle)
So, ∠FGE = 50°
Answer:
∠FGE is also 50°
Step-by-step explanation:
they are corresponding angles.
How can you determine the part of an hour that is 15 minutes?
Answers
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 378 milliliters of the drug, how many milliliters of compound B are needed?
Answers
Answer:
216 milliliters
Step-by-step explanation:
Since, there are 3 milliliters of compound A used for every 4 milliliters of compound B.
Therefore,
A : B = 3 : 4
Let the common multiplier of the given ratios be x.
So, A = 3x & B = 4x
Since, chemist wants to make 378 milliliters of the drug.
Therefore, total volume of drug = 378 milliliters.
3x + 4x = 378
7x = 378
x = 378/7
x = 54
4x = 4*54 = 216
Thus, 216 milliliters of compound B are needed.
A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.
Answers
Answer:
The truck can paint 32 miles in 12 hours.
A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container
Answers
Answer:
36 number of 2/3-pint bottles can be filled from a 24-pint container
Step-by-step explanation:
Volume of the container is 24 pint
Volume of the bottle is 2/3 pint
Number of 2/3 pint bottles that can be filled from 24 pint container is
[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]
36 number of 2/3-pint bottles can be filled from a 24-pint container
how many times does 91 go into 15???
Answers
Answer:
18.2
Step-by-step explanation:
divide 91 by 5
x x x x x. x x x x x x x x x x xx. x
Helllpppppppppppp fast this
Answers
Answer:
None of he choices are correct. Now before you say I'm wrong, look at any one of the unknown angles. You can plainly see that they each are greater than 90 °.
x = 120°
Step-by-step explanation:
5 sides
(180 x 5) - 360 = 540° total of interior angles
540 - 90 - 90 = 360° total for the 3 unknown angles
x = 360/3 = 120°
(WIll mark as brainliest) Which one of these graphs is a function and why and why not?
Answers
you’re welcome ! have a great night/day .
A boy weighs 27 kilograms. Hoy much does he Weigh in pounds?
Answers
Answer:
59.5248
Step-by-step explanation:
Select all the figures that are shaped to represent 60% of the whole.
Answers
Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.
HJ =
JE =
Answers
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
Answer:
HJ = 8
JE = 4
Step-by-step explanation:
Your welcome.
Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score?
Answers
(|currentavg-initialaverage|/initialavg)*100 gives percent difference so:
(|72-80|)/(80)*100
gives a 10 percent difference (decrease)
72 X%
X%=72•100/80
X=90 %
100-90=10%
Decrease in Kathleen’s average score is 10%. Good luck.
A triangle has angle measurements of 41°, 41°, and 98°. What kind of triangle is it?
Answers
Answer:
isosceles triangle?????????????????.................
Isosceles apparently lol.
Find the approximate length of the line AB PLZZZZZZZZZZZZZZZZZZ HELPPPPPP
Answers
Answer:
Approximate length of line AB is 8.6
Step-by-step explanation:
Input Data :
Point 1 (xA, yA) = (8, 2)
Point 2 (xB, yB) = (3, 9)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB − xA) ^2 + (yB − yA)^2
Solution :
Distance between two points = √(3 − 8) ^2 + (9 − 2) ^2
= √(−5) ^2 + 7^2
= √25 + 49
= √74
= 8.6023
Distance between points (8, 2) and (3, 9) is 8.6023
hope this helps and is right :)
Answer:
First choice
12.0
Step-by-step explanation:
Make a right triangle, drawing straight lines, down from point A and left from point B. Use the pythagorean theorum to solve.
I will use "x," "y," and "z" as sides of the triangle as to not confuse between points a and b.
Line AB is line z
x^2 + y^2 = z^2
8^2 + 9^2 = z^2
64 + 81 = z^2
145 = z^2
(find square roots of both)
12.0416 = z
You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly
Answers
Answer:
If you had a 50 question test and a grade of 82% then you would have gotten 9 questions wrong and 41 correct anwsers.
You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly
Answers
Answer:9 questions answer incorrectly
Suppose WX = 4x - 8 and WZ = 2x + 2. Solve for x
Answers
Answer: 5
Step-by-step explanation:
Because the shape is a kite we can tell that WX and WZ are congruent.
So 4x-8 = 2x+2
Add 8 to both sides
4x = 2x+10
Subtract 2x
2x = 10
Divide by 2
x = 5
HELP HELP HELP HELP JUST TWO SMALL THINGS
put down whatever pls give me actual answers
Answers
Answer:
for what question i dont see the quetsion
Step-by-step explanation:
This is for today someone can help me pls!!!
Answers
Answer:
sdf
Step-by-step explanation:
sdfgh
If the radius of a circle is 3, calculate the diameter.
also can anyone please explain how to do this? i would really appreciate it.
Answers
Answer:
The diameter would be 6
Step-by-step explanation:
the radius is half of a diameter, so you would have to double the radius to get the diameter
d=2r
=2(3)
=6
The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)
sorry if this doesnt make sense
take care, stay safe, be careful, and live
stay safe
-Ken Ken (kenma #3)
John has 10 coins in his pocket that are worth $1.60. He has some quarters, some dimes, and some nickels.
which combination of coins could john have in his pocket?
A 3 quarters, 4 dimes, 3 nickels
OB. 4 quarters, 3 dimes, 3 nickels
OC. 5 quarters, 2 dimes, 3 nickels
OD. 6 quarters, 2 dimes, 2 nickels
Answers
Answer:
its C :)
Step-by-step explanation:
so 5 quarters is 1 dollar and 25 cents then add 2 dimes its 1 dollar and 45 cents then u add 15 because of 3 nickles and so it makes it 1 dollar 60 cents
help please !!!!.......
Answers
Answer:
x=60°,120°
Step-by-step explanation:
4sinx=3cosecx
4sinx-3cosecx=0
4sinx-3/sinx=0
4sin²x-3=0
sin²x=3/4
sinx=√(3/4)
sinx=√3/2=sin60°,sin(180-60)
Answer:
sin (180-60)is the correct answer Hope it helps you have a great day keep smiling be happy stay safe
please help if you can!!!!
I promise I will make brainliest!!!!
Answers
Answer: B
Step-by-step explanation: Hope this help :D
please look at picture. i will give brainliest to the correct answer!!!
Answers
Answer:
N = 30
Step-by-step explanation:
30 divided by 10 is three. Three plus three equals 6.
Sarah adds 2 to her shells each week. which pattern could show how many shells Sarah has each week?
Answers
Answer: You can add 2 shells each week so you can count by 2's or multiply 2 to each week.
Step-by-step explanation:
2x1=2
2x2=4
2x3=6
2x4=8
2x5=10
2x6=12
2x7=14
2x8=16
2x9=18
2x10=20
etc..
Please help due soon!!
Answers
Answer: [(3/4)π] in² or (0.75π) in²
Step-by-step explanation:
Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)
--------------------------------------------------------------
Given
r=3 in
θ=30°
Solve
A=πr²(θ/360)
A=π(3)²(30/360)
A=9π(1/12)
A=[(3/4)π] in²
A=(0.75π) in²
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP I REALLY DONT UNDERSTAND
Answers
Answer:
x = 1
Step-by-step explanation:
If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.