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]
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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.
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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
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Answer:
Step-by-step explanation:
6825
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
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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
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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.
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Answers
Answer:
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Step-by-step explanation:
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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
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Answers
Answer:
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Step-by-step explanation:
Answer:
150
Step-by-step explanation:
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100 x 1.5=150
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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:
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Answers
Answer:
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Step-by-step explanation:
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i hope thought this out right for you, and hope that helps. :)
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Step-by-step explanation:
Hellp pls. This is not a test, so pls do not report.
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Step-by-step explanation:
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Answers
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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
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Answers
Answer:
C
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Answers
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Answer:
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Step-by-step explanation:
The given angles are vertical angles and has same measurement
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Answers
Answer:
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Answers
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[tex] \frac{12}{80} \times 100 = \\ [/tex]
[tex] \frac{4 \times 3}{4 \times 20} \times 100 = \\ [/tex]
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[tex] \frac{100}{20} \times 3 = \\ [/tex]
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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
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3.no,she should have set it up 45/x =75/100
Answers
The answer should be 60 if im correct.
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÷
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Answers
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
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Learn more about the division here: brainly.com/question/21416852
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Answers
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Answers
Answer:
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Step-by-step explanation:
Itll all make sense
M e e e e e ??
Hope you have a great day!
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Answers
Answer:
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Step-by-step explanation:
The equation y = 45 models the saving.
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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:
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Step-by-step explanation:
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A1
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Answers
It's -46, because if you add -6 and -46 you get -52
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
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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:
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