in ABC, D∈AB so that AD;DB=1 : 3. If ACDB = 12ft2 Find AACD and AABC
Answers
Answer:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
Step-by-step explanation:
Given that:
D is a point on AB.
and ABC is a triangle.
AD:DB = 1 : 3
Area of [tex]\triangle[/tex]CDB = 12 [tex]ft^2[/tex]
Kindly refer to the attached image as per the given dimensions and values.
To find:
Area of [tex]\triangle[/tex]ACD and Area of [tex]\triangle[/tex]ABC = ?
Solution:
Formula for area of a triangle = [tex]\frac{1}{2}\times Base \times Height[/tex]
The altitudes of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD are equal in dimensions.
Therefore the area of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD will be equal to the ratio of their bases.
Area of [tex]\triangle[/tex]ACD : Area of [tex]\triangle[/tex]CDB = AD: DB = 1 : 3
[tex]\Rightarrow[/tex] Area of [tex]\triangle[/tex]ACD = [tex]\frac{12}{3} = \bold{4 ft^2}[/tex]
Area of [tex]\triangle[/tex]ABC = Area of [tex]\triangle[/tex]ACD + Area of [tex]\triangle[/tex]CDB = 12 + 4 = 16 [tex]ft^2[/tex]
Therefore, the answer is:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
Related Questions
Please help me with this
Answers
Answer:
m9 = 115
m4 =110
m10=65
m11= 70
m8= 70
m5 = 65
m3 = 70
m14 = 115
Who tryna okay among us??
Answers
Answer:
(7i^17+42.628%*1037)(437^2-281i)^19
Step-by-step explanation:
Itll all make sense
M e e e e e ??
Hope you have a great day!
Natalie borrowed money from her parents to pay for a trip
Answers
Answer: wow nice
Step-by-step explanation:
Simplify 45a²b
__________
30AB
Answers
Answer:
15ab
Step-by-step explanation:
if the AB is capital on purpose then its 15a^2b over AB
A student asks how you can find the quotient and the remainder in a division problem like
593
÷
36
using a calculator that can perform only the four basic operations. How do you respond?
Answers
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
The problem is 593 ÷ 36.By using the calculator we can perform the four operations i.e. addition, subtraction, multiplication & division.The division result in the division operator is
593 ÷ 36 = 16.4722So, the quotient is 16.Now the remainder should be
(16.4722 - 16) ×36 = 17
Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.
Learn more about the division here: brainly.com/question/21416852
The picture below has got me stuck
Answers
Answer:
X=42
Step-by-step explanation:
when the question says that ABCD ~ EFGH that's just saying that they are equal.
AB = 16 FE = 10 the first shape has sides that are 6 longer than the second shape.
next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).
i hope thought this out right for you, and hope that helps. :)
Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.
Was she correct ? Or is there an error that can be corrected?
1.yes,she is correct
2.no, she should have set it up x/45 = 100/45
3.no,she should have set it up 45/x =75/100
Answers
The answer should be 60 if im correct.
The sum of a number and five more than the number is fifteen
Answers
Answer:
5
Step-by-step explanation:
5 plus 5 more than 5 is 15
help and u get the brain thing
Answers
Answer:
16%
Step-by-step explanation:
Choose the measure that is approximately equivalent to 9 kilometers.
A.4.5 mi
B.5.6 mi
C.7.39 mi
D.14.5 mi
Answers
9 miles is approximately equivalent to 5.6 miles.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.
∴ 9 kilometers is equivalent to (9/1.6) miles.
= 5.6 miles.
learn more about the unitary method here :
https://brainly.com/question/22056199
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Josie has $ 47 left on her checking account. if she writes for $55, what will Josie' s balance be?
Answers
Answer:
$102
Step-by-step explanation:
12 is what percent of 80?
Answers
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[tex] \frac{12}{80} \times 100 = \\ [/tex]
[tex] \frac{4 \times 3}{4 \times 20} \times 100 = \\ [/tex]
[tex] \frac{3}{20} \times 100 = \\ [/tex]
[tex] \frac{100}{20} \times 3 = \\ [/tex]
[tex]5 \times 3 = 15 \: \: \: percent[/tex]
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1.(07.01 LC)
What is the value of x in the equation -6 + x = -52 (1 point)
A1
B11
C-1
D-11
Answers
It's -46, because if you add -6 and -46 you get -52
Hellp pls. This is not a test, so pls do not report.
Answers
One number is 2 more than the other. The small one is 4 times equal to triple the larger number . What is the value of both the larger and smaller number?
Answers
Answer:
n + (3n)+7 =
4n+7
And that is the answer
Step-by-step explanation:
A family plans to water ski at a local lake. If the temperature outside is 30 degrees C, what is the temperature in degrees F? Use the formula F = 9/5 C + 32 ?
Help
Answers
Answer:
30°C = 86°F
Step-by-step Explanation:
Temperature outside in degree celsius = 30°C
Formula to convert degree celsius to degree fahrenheit:
[tex] \boxed{ \bf{\degree F = \dfrac{9}{5}\degree C + 32}}[/tex]
By substituting value in the formula, we get:
[tex] \rm \implies \degree F = \dfrac{9}{5} \times 30 + 32 \\ \\ \rm \implies \degree F = 9 \times 6 + 32 \\ \\ \rm \implies \degree F = 54 + 32 \\ \\ \rm \implies \degree F = 86[/tex]
[tex] \therefore [/tex] Temperature outside in degree fahrenheit = 86°F
1.5 X 10 second power
Answers
Answer:
15
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
10 to the 2nd power is 100
100 x 1.5=150
how many $20 dollar bills equal $1,000?
Answers
Answer:
50 $20 bills equals $1,000
Step-by-step explanation:
1000 / 20=50
50 $20 bills equal $1000
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here $1000 bill to find its $20 equivalent we divide the amount with 20 thus $20 equivalent of $1000 is $1000/20=50
Hence, $1000 bill equivalent of $20 is 50
Learn more about the unitary method here:
https://brainly.com/question/22056199
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Find the value of X, I need help solving this
Answers
13times 4 is 52
Answer:
B) 13
Step-by-step explanation:
The given angles are vertical angles and has same measurement
4x = 52° divide both sides by 4
x = 13
the graph shows a proportional relationship between a person's total savings in dollars and the number of weeks they have been saving write an equation that models the savings.
the equation y=__ models the savings
Answers
Answer:
54x
Step-by-step explanation:
The equation y = 45 models the saving.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
Given the graph of the equation.
Note that the graph passes through points (0,0) and (2,90).
The slope of the line is:
m = (90 - 0)/(2 - 0)
m = 45
The equation of the line with a slope of m = 45 and passes through (0,0) is:
y -0 = 45(x - 0)
y = 45x
Hence, the equation y = 45 models the saving.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
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John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answers
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
Kelly flies a distance of 2,100 miles. The trip takes 4
hours.
At this rate of speed, how many miles will the airplane travel in 13 hours?
Answers
Answer:
Step-by-step explanation:
6825
Someone please help me with this (look at the image above)
Answers
9514 1404 393
Answer:
a) base: 29.4377 cm
b) hypotenuse: 30.7827 cm
c) area: 132.470 cm²
d) perimeter: 69.2204 cm
Step-by-step explanation:
a) The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(17°) = (9 cm)/base
base = (9 cm)/tan(17°) = 29.4377 cm
__
b) The sine relation could be used in the same way to find the hypotenuse:
hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm
However, we're instructed to use the Pythagorean theorem. So, we have ...
hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm
__
c) The area is half the product of the base and height:
A = 1/2bh
A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²
__
d) The perimeter is the sum of side lengths:
P = base + hypotenuse + height
P = (29.4377 +30.7827 +9) cm = 69.2204 cm
HURRY I GIVE Brainless please hurry you get 100 points!!!Explaining a Rule for Dividing Fractions
Eran the steps you would take to find the quotient of
1/3 divided by 4/3
Answers
Answer:
1/4
Step-by-step explanation:
1/3 divided by 4/3. To divide, flip the fraction on the right.
1/3*3/4. Now you can divide both sides by 3.
1/1*1/4. 1x1/4 which is 1/4
1/4.
Hope this helps :D Please mark brainliest
Hello! c: if you need to write and explain your answer use this because its not a sample response i hope you get an A!
To find the quotient you must first, Find the reciprocal of the divisor and multiply the dividend by the divisors reciprocal.
In this case the answer would be 1/4.
Find two real numbers whose sum is 12 and whose product is 32.
Answers
8*4=32
So the two real numbers would be 4 & 8
What is the area of the unshaded portion of this figure?
Answers
Answer:
its D 162
Step-by-step explanation:
First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle
Which of the following is a polynomial?
Answers
Answer:
C
Step-by-step explanation:
Only C is a polynomial function. It is recognizable as such by the positive, integer power x^4. The others have negative powers, which eliminates them.
Which relation is not a function?
Answers
please help me :((((
Answers
4x = -48
x = -12
2. 7x + 23 + 4x + 25 = 180
11x + 48 = 180
11x = 132
x = 12
solve the following equation for x: logx+log(x-3)=log(3x)
a. there are no solutions
b. x=0
c. x=0,6
d. x=6
Answers
Answer:
x=6
Step-by-step explanation:
For two functions to be equal, the arguments of each must be equal.
Answer: it’s x= 6
Step-by-step explanation: I just got it right on the quiz.
