Answer:
= 124 ft
Step-by-step explanation:
Perimeter of a rectangle is
P = 2(l+w)
We know the length is 13 and the width is 49
P = 2(13+49)
=2(62)
= 124 ft
For this case we have:
a = 30 cm
c = 16 cm
We look for the length of the diagonal:
d = x + y
Where,
For x:
a ^ 2 = x ^ 2 + x ^ 2
x = a / root (2) = 30 / root (2) = 21.2132 cm
For y:
c ^ 2 = y ^ 2 + y ^ 2
y = c / root (2) = 16 / root (2) = 11.3137 cm
The diagonal is:
d = x + y
d = 21.2132 + 11.3137
d = 32.5269 cm
Then, the height is:
h = h1 + h2
For h1:
h1 = root (x ^ 2 - (a / 2) ^ 2) = root ((21.2132) ^ 2 - (30/2) ^ 2)
h1 = 15 cm
For h2:
h2 = root (y ^ 2 - (c / 2) ^ 2) = root ((11.3137) ^ 2 - (16/2) ^ 2)
h2 = 8 cm
Finally:
h = h1 + h2
h = 15 + 8
h = 23 cm
Then, the area is:
A = (1/2) * (a + c) * (h)
A = (1/2) * (30 + 16) * (23)
A = 529 cm ^ 2
Answer:
the area of an isosceles trapezoid is:
A = 529 cm ^ 2
ANSWER
x=3, y=-4
EXPLANATION
The given system is :
First equation:
Second equation:
Let us multiply the first equation by 7 to get,
Third equation;
Let us multiply the second equation too by 10 to get,
Fourth equation:
Subtract the fourth equation from the third equation:
Divide both sides by 59.
Put y=-4 into the second equation and solve for x.
The solution is x=3, y=-4
Answer:
b.0.26 is the correct answer
Step-by-step explanation:
a is incorrect because that would be .40 and .40 is more than .27 so that would make the equation false
c is in correct because .3 is.30 and .30 is more than. 27 and this would make the equation false
and d is incorrect because .28 is more than. 27 would make the equation false
Answer:
The hiking club's member count increased by 48%.
Step-by-step explanation:
We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or<em> x</em>, in this case.
The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.
Therefore, the club's member count increased by 48%.
