Answer: 11x
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Explanation:
Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.
For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.
The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x
The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x
Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x
So the length of the rectangle, in terms of x, is 11x. This is the final answer.
Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,
So, the height of Mrs. Marigold's roof is 10 feet.
Answer:
1/5
Step-by-step explanation:
20*5 = 100, so 20 is 1/5
108 .
explanation : 36 x 3 = 108
( it’s easy multiplication )
<h2>
Answer:</h2>
The probability that a code starts with the number 7 is:
1/10
<h2>
Step-by-step explanation:</h2>
There are total 10 digits:
0 1 2 3 4 5 6 7 8 9
Also, the total number of codes that are possible using these digits are:
1000
( Since there are 10 choices for first place, 10 for second and 10 for third as well
Hence, total possibilities are: 10×10×10=1000 )
Also, if the first place of the code is fixed with number 7.
So, we need to chose the digits for second and third place.
Hence, total codes whose first digit is 7 are:
100
( Since the choice for first place is fixed and for second and third place we have 10 choices i.e. total such cases are: 1×10×10=100 )
Hence, the probability is calculated as:
Probability=100/1000
=1/10
