Answers
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
Related Questions
3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
many of each piece would each child need to build tracks that are equal in length?
Answer Statements:
Answers
Answer:
72
Step-by-step explanation:
The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.
What's the smallest number that is a multiple of 8 and also a multiple of 18?
One way to find out is to start making lists of multiples:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,
Multiples of 18: 18, 36, 54, 72, 90, 108, and so on.
This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.
Another method is to use the prime factorization of the two numbers.
Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.
8 = 2 x 2 x 2 = 2^3
18 = 2 x 3 x 3 = 2^1 x 3^2
To form the LCM, build a product of primes using the highest exponent in either of the two numbers.
LCM = 2^3 x 3^2 = 8 x 9 = 72.
PLEASE HELP! 100 POINTS!
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 85 and your test average is 76?
Answers
[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]
[tex]\\ \sf\longmapsto 85(0.67)[/tex]
[tex]\\ \sf\longmapsto 56.95[/tex]
33% of 76[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]
[tex]\\ \sf\longmapsto 76(0.33)[/tex]
[tex]\\ \sf\longmapsto 25.08[/tex]
Add both
[tex]\\ \sf\longmapsto 56.95+25.08[/tex]
[tex]\\ \sf\longmapsto 82.03[/tex]
Using weighed averages, it is found that the final grade is was of 82.03.
-------------------
The weighed average, which represents the final grade, is given by the sum of the grades multiplied by it's weights.The higher grade has a weight of 67%.The higher grade was of 85, on homeworks.The lower grade has a weight of 33%.The lower grade was of 76, on the test average.-------------------
Using the data given in the exercise, for the grades, and the weighed average concept, the final grade is:
[tex]G = 85(0.67) + 76(0.33) = 82.03[/tex]
The final grade was of 82.03.
A similar problem is given at https://brainly.com/question/24447096
Solve for y
(y-k)h=c
Answers
Answer:
Y = C/h+ K
Step-by-step explanation:
hope that helps>3
How do write 200,403,926 in expanded form and in words
Answers
Answer:
two-hundred million,four-hundred and three thousand ,nine-hundred and twenty-six
Answer:
Answer below
Step-by-step explanation:
Expanded form: 200,000,000 + 400,000 + 3,000 + 900 + 20 + 6
This is when you split a number and write the value of each number
In words: two hundred million four hundred and three thousand nine hundred and twenty six.
HOPE THIS HELPED
O perimetro de uma praça é 320 m. Qual o valor do seu diâmetro
Answers
Answer:
A área de um quadrado cujo perímetro é de 320 m é 6400 m2
Step-by-step explanation:
For the function f(x) = 3 − 8x, identify the values of f(0), f(1/2), and f(−2).
3; 7; −13
−5; −1; −13
3; −1; 19
−5; 7; 19
Answers
Answer:
The answer is 3: -1: 19
Step-by-step explanation:
I. f(x) is output x is input so
If x = 0
f(0) = 3 - 8(0)
f(0) = 3
If x = 1/2
f(1/2) = 3 - 8(1/2)
= 3 - 4
f(1/2) = -1
If x = -2
f(-2) = 3 - 8(-2)
= 3 - (-16)
= 3 + 16
f(-2) = 19
Hope that help :D
write 16% as a fraction in simplest form
Answers
Answer:
4/25
Step-by-step explanation:
Answer:
16% as a fraction is 4/25
Step-by-step explanation:
Every percentage is over a 100. This means that 16% is the same as 16/100 and simplifying this it will be 4/25 ( dividing both by 4)
Pls help with steps, will give brainliest.
Answers
Answer: 36/a^2b
Step-by-step explanation:
Starting with the question 4a^3b^-2*9a^-5b
Since we have multiplication we multiply our numbers and add exponents
So
4*9=36
and exponents
3+-5=-2
-2+1=-1
So 36a^-2b^-1
BUTTT because we absolutely CANNOT have negative exponents we put them in the denominator to make them positive so our final answer is
[tex]\frac{36}{a^2b}[/tex]
At a coffee sale held one day in 2004 ,the average price of 50 kg bag of coffee was sh 2422.90 . What was the cost of 1 kg of coffee (Give your answer to the nearest 10 cent)
Answers
Answer: $ 48.46
Step-by-step explanation:
If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?
50/1 = 2422.90/x (cross multiplication)
48.46
Mr.Lin ordered 7 cases of pencils.Each case had 148 pencils. How many pencils did Mr.Lin order in all.Use the model to solve.
Answers
Answer:
7×148= 1036
Step-by-step explanation:
This is the easiest way to solve ...
But you are asking a model to be used for solving...
No idea about it
I need an explanation for this PLEASEE!
Answers
Answer:
4)Y axis :X=0
5)A:2units B:4 units C:7units D:7units
A':2units B':4units C':7units D':7units
6)They are correspondingly the same
7)A(2;1) B(4;4) C(7;4) D(7;1)
A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)
Select the correct answer from each drop-down menu.
Answers
Answer:
first one is rough endoplasmic reticulum and the second is cell membrane
there are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yellow marble without replacing the first one
11/20
3/7
1/5
Answers
Answer:
1/5
Step-by-step explanation:
the prob that you will pick a blue marble would be 12/16, easy.
then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.
the answer is 1/5
hope that solve your problem for whoever gets this question
what are the answers to 13, 14, 16, and 17? pls help it will mean a lot :)
Answers
14. 11/25
16. 8/9
I don’t know what is an answer of 17 sorry...:(
ANSWER ASAP!!! BRAINLIEST AWARDED
It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?
Answers
Answer:
10
Step-by-step explanation:
1:5
10:50
Answer:
10
Step-by-step explanation:
5 minutes = 1 area
→ Divide the 50 by the 5
50 ÷ 5 = 10
→ Multiply this by the area
10 × 1 = 10
10. Jika a dan b penyelesaian dari persamaan
2x – 5 = 1+Vx-3 , maka a + b =
(A) 4
(B) 6
(C) 10
(D) 12
(E) 14
Answers
After making several scale drawings Joseph decides on the best placement for a new grillon deck He uses a scale of 2 cm for every 5 in What is the actual area of the space for Joseph's new square inches ?
Answers
Answer:
2250
Step-by-step explanation:
The actual areas is 1125 in²
A scale drawing can be described as a drawing of an original image that is reduced by a constant proportion to the original image.
scale of the drawing = original dimensions / dimensions of the scale drawing
The scale used by Joseph = 2 cm : 5 inches
This can be simplified further by dividing by 2
1 cm : 2.5 inches
Based on the image, the dimensions of the grill are 10 cm x 18cm
The length of the actual grill = 18 x 2.5 = 45 inches
The width of the actual grill = 10 x 2.5 = 25 inches
Area of a rectangle = length x width
Area of the actual space for the grill = 25 x 45 = 1125 in²
To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults
HELP PLS HELP HELP WILL MAKE BRAINLIEST
Answers
Answer: Therefore, 14% of cats and dogs got shelter during the day.
Step-by-step explanation:
cats = 5/50 * 100%
= 5*2% = 10%
dogs = 2/50* 100%
= 2*2% = 4%
so
= 10% + 4% = 14%
Answer:
Option A
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Seven less than the product of 8 and a number equals 4
Answers
Answer:
11/8 or 1 3/8 or 1.375
Step-by-step explanation:
From the information given by the question, we can form an equation:
Let us call the number 'n'
8 × n - 7 = 4
We then move the 7 to the other side, changing it from minus to plus:
8 × n = 4 + 7
So,
8 × n = 11
We divide both sides by 8, to leave n on one side of the equation.
n = 11/8
Therefore, n = 11/8 or 1 3/8 or 1.375
Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?
Answers
what is the value of x?
Answers
[tex]\\ \sf\longmapsto x+88=138[/tex]
Take 88 to right[tex]\\ \sf\longmapsto x=138-88[/tex]
[tex]\\ \sf\longmapsto x=50°[/tex]
Option C is coreect
Can someon answer this ASAP no photo examples please!
Answers
Answer:
7 inches
Step-by-step explanation:
7 inches
bc area of a square is l^2 and square of 7 is 49.
What is the measure of B?
Select the best answer from the choices provided.
A.33°
B. 57
C. 770
D.123
Answers
Answer:
B =57
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
58+B+65 = 180
123+B = 180
B = 180-123
B =57
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°∠A + ∠B + ∠C = 180°
∠A = 58° ∠B = 65° ∠C = x⇛58° + 65° + x = 180°
⇛123° + x = 180°
⇛x = 180° - 123°
⇛x = 57°
Option B is the correct answer
Write the sentence as an inequality.
Four is no less than the quotient of a number x and 2.1.
Answers
Answer:
4 ≥ x÷2.1
Step-by-step explanation:
What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?
Answers
Answer:
y = -3/5x + 1
Step-by-step explanation:
We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.
4 = -5(-3/5) + b
4 = 3 + b
1 = b
With the information we know, we can input the values into the formula once again.
y = -3/5x + 1
Best of Luck
4.
Find the Midpoint of (2,8) and (-2,0)
if you could show your work that'd be great
Answers
Answer:
Midpoint= (0, 4)
Step-by-step explanation:
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]
Using the formula above,
midpoint
[tex] = ( \frac{2 - 2}{2} , \frac{8 + 0}{2}) [/tex]
[tex] = (0, \frac{8}{2} )[/tex]
[tex] = (0,4)[/tex]
Factor by grouping. m²s−m²t − ns + nt
Answers
Explaination: factoring
Answer:
m²s − m²t − ns + nt = m²(s - t) - n(s - t) =(m² - n)(s - t)A sphere with surface area of 154cm² is fit exactly in cubical box, Use π 22/7
what is the volume of the box A.147
B.154
C.216
D.343
Answers
Answer:
Answer :-Surface area of sphere = 4 π r²
154 = 4 × 22/7 × r²
154 = 88/7 × r²
154 × 7/88 = r²
12.25 = r²
3.5 = r
Now
Volume of sphere = 4/3 × π r³
Volume = 4/3 × 22/7 × (3.5)³
Volume = 88/21 × 42.875
Volume = 154 cm³
Volume of sphere = Volume of cube
Volume of cube = 154 cm³
Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation.
Answers
Answer:
$76-$14-$24=$38
Step-by-step explanation:
She owed her mother $76, and has paid back $38, leaving $38 left to be paid. If this helped, please mark as Brainliest :)
Answer:
76-14-24 or another expression is 14+24-76
Step-by-step explanation:
the answer for the expression is 38
What is the slope of the line that passes through the points
(4,-5) and (3, 8)?
0 -3
O 13
0 -13
Answers
(8-(-5)) / (3-4) = (8+5)/(-1)
= 13/(-1)
= -13