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Hunter-Best [27]
2 years ago
9

The area of a plot of land is 2496 square meters. A small part of the land is fenced. The ratio of the area of the plot of land

to the area that is not fenced is 48:31. What is the area of the land that is not fenced?
Mathematics
1 answer:
AfilCa [17]2 years ago
4 0
My late response (haha): First, you would write a proportion.

Step 1: 2496 over 48 = x over 31
(x represents the area of the land that is not fenced).

Step 2: Cross multiply
2496 times 31 and x times 48

Step 3: Calculate
77376 = 48x

Step 4: Divide both sides by 48
77376/48 = 1612
48x/48 = x

Step 5: Write it as a sentence 
The area of the land that is not fenced is 1612 squared meters. 

Hope that helped! Good luck! :]
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How many odd numbers with 4 different digits, can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8? (No repetition is allowed)
olga55 [171]

Answer:

840 ( D )

Step-by-step explanation:

GIVEN DIGITS : 1,2,3,4,5,6,7,8  

Number of odd numbers = 4

Number of even numbers = 4

therefore the number of odd numbers with 4 different digits can be formed by the same way the number of even numbers ( without repetition )

Hence the number of ways odd numbers with 4 different digits = Total number of ways of forming 4 digit numbers / 2

8*7*6*5 = 1680 / 2 =  840 ways

6 0
2 years ago
A parallelogram has a length of 6 centimeters and a width of 4.5 centimeters. This parallelogram is dilated by a scale factor of
Arada [10]
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
 
3 0
2 years ago
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
2 years ago
Evaluate 6+3b if b=7
Pavlova-9 [17]
27. Replace b with 7, making 6 + 3(7). The 3 and parentheses of 7 hint multiplication, so you multiply to make 21, then add 6 relating back to PEMDAS to teach you the correct order to solve the problem.
6 0
2 years ago
Read 2 more answers
. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf
liberstina [14]

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches

Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

That is same as 24 + 3 inches

24 inches = 2 ft

So 27 inches = 2 ft 3 inches

3 0
2 years ago
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