Answer: $2208.04
Step-by-step explanation:
in ABC, D∈AB so that AD;DB=1 : 3. If ACDB = 12ft2 Find AACD and AABC
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]
find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
One card is drawn at random from a deck of 52 cards. The first card is not replaced, and a second card is drawn. (Enter your probabilities as fractions.)
Required:
a. Find the probability that both cards are clubs.
b. Find the probability that the first card is a spade and the second is a club.
Answer:
We have a 52 card deck:
a. Find the probability that both cards are clubs.
The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.
We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:
p1 = 13/52.
Now the probability of drawing a club in the second draw will be:
p2 = 12/51
Where each number is decreased by one because we already drew a card, and that card was a club.
Then the probability of both events happening will be equal to the product of the individual probabilities:
P = p1*p2 = (13/52)*( 12/51) = 0.059
b. Find the probability that the first card is a spade and the second is a club.
Same as before, the probability of first drawing a spade is:
p1 = 13/52
And the probability of drawing a club in the second draw will be:
p2 = 13/51
This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.
Now the joint probability will be:
P = p1*p2 = (13/52)*(13/51) = 0.064
PLEASE HELP QUICKLY!!!!! PLZZZZZZ!!!!!!!
Solve for x.
Enter the number that belongs in the green box
Answer:
x = 45
Step-by-step explanation:
Because these are two congruent triangles inside of each other we can set up an equivalency ratio.
25/35 = x/65
Multiply both sides by 65 to get x alone
65 * 25/35 = x/65 * 65
(65 * 25)/35 = x1
1576/35 = x
x = 45
Hope this helps,
middle school math.
Answer: d or the last one
Step-by-step explanation:
The last one because she wants to lose 2 pounds per week and of x is the amount of weeks she does it for and 126 is the amount she already weighs, then the equation would be y=2x - 126
Simplify the expression 4x^3 x 2x^3
Answer:
8x^6
Step-by-step explanation:
Brainliest
13x456+345 divided by 45x265-256=?
Answer:
7703.66666667
Step-by-step explanation:
Write the first 4 terms of the sequence defined by the rule. f(n) = n + 10
Answer:
n(1) = 11, n(2) = 12, n(3) = 13, n(4) = 14
Step-by-step explanation:
What is a secure line of credit?
a. A line of credit offered only to individuals with excellent credit ratings.
b. A line of credit offered to a business or corporation.
c. A line of credit backed by the government.
d. A line of credit backed by collateral.
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
did the quiz
What is the image point of
(
−
4
,
7
)
(−4,7) after a translation left 4 units and down 4 units?
Answer:2,7
Step-by-step explanation: I honestly don’t know this might not be right
Find the measure of angle b.
4)
36°
what do you guys think
can u find all angles
Answer:
I think it's 118°73°49° not really sure
sorry
Four less than twice a number is fifty
Answer:
28
Step-by-step explanation:
50+4= 54
54/2=28
Answer:
2a - 4 = 50
Step-by-step explanation:
Less than means that you subtract 4.
Twice a number just means that you multiply a number by 2.
And we know that all of that equals 50.
If you want to solve it..
2a - 4 = 50
+4 +4
-----------------
2a = 54
Divide both sides by 2. 54/2 = 27
a = 27
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?
The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:
A = (b₁ + b₂) h / 2
We're given A = 864, h = 24, and one of the bases has length 30, so
864 = (b₁ + 30) 24 / 2
864 = (b₁ + 30) 12
864 = (b₁ + 30) 12
72 = b₁ + 30
b₁ = 42
Based on the information below, what are the values of x and y of the solution to the system of equations used to create
the information?
Answer:
x = 4; y = 12
Step-by-step explanation:
The value of x and y is 4,12., the correct option is C.
What is a Matrix?A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.
The matrix A is
[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]
The matrix Ax is
[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]
The matrix Ay is
[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]
The determinant for all the matrices is
|A| = -15/4
|Ax| = -15
|Ay| = -45
The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4
The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12
Therefore, the value of x and y is 4,12., the correct option is C.
To know more about Matrices
https://brainly.com/question/11367104
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How many distinct ways are there to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row? Give your
answer as an integer.
Provide your answer below:
Answer:
144
Step-by-step explanation:
3x2x2
the sum is 12, and after that you do 12^2
the final answer is 144
The number of distinct ways to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row will be 144.
What is a permutation?A permutation is an act of arranging items or elements in the correct order.
There are 2 orange marbles, 2 clear marbles, and 3 yellow marbles.
Then the number of distinct ways to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row will be
⇒ (3 x 2 x 2)²
⇒ 12²
⇒ 144
More about the permutation link is given below.
https://brainly.com/question/11732255
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The boiling point of water in the Fahrenheit scale is 212 degrees ?
True
False
Help
The answer fam is........True (212°F)
write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3
y=0.625x+1.75 is the equation for your problem.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?
Answer:
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Step-by-step explanation:
i just did it !!
If x = y and y = Z, which statement must be true?
A. ZX
B. -X Z
C. - x = -2
O
a
D. X Z
Answer:
D. XZ
Step-by-step explanation:
A new hard drive costs $225, plus $40 per hour for labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, using plug and chug strategy for x hours of labor, what is the maximum number of hours the computer technician can work?
Answer:
Step-by-step explanation:
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4
The difference of three times a number and two is twelve more than the number. Find the number. pls help
I may be wrong but I got x³- 2 + 12.
Determine if the lines are parallel, perpendicular, or neither. y + 3 = 7/4x and -4/7x + y = 9. Do I still have to solve y + 3 = 7/4x?
Answer:
No you dont have to solve it. And I believe it is perpendicular.
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.
Find the z-score separating the lowest 9% of scores from the highest score of 91%
Answer:
I'm not sure of my answer but try this:
Jack works after school. Each day he is paid a set amount, plus an hourly wage. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn? A. $33 B. $35.50 C. $45 D. $53
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
A company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded in the truck. How many more candles are left to load on the truck? Please help me
Answer:
34
Step-by-step explanation:
just guessing but u gotta really put a mind to it aha
The length of a rectangle is four times its width. The length is 4 2/3 feet. What is the area of the rectangle?
Answer:
4.687225
Step-by-step explanation:
you paid $3.36 for a 16 minute phone call to your family what is a unit rate
Answer:
0.21
Step-by-step explanation:
3.36/16=0.21
Answer:
$0.21
Step-by-step explanation:
