Answer:
6 miles
Step-by-step explanation:
Let's say the length of the sides of the square is x.
The area of a square is denoted by: A = x².
Here, we're given that twice the area of the square is 72, so we can write this is 2 times the area, which is 2 * x². Set this equal to 72 and solve:
2x² = 72
x² = 36
x = 6
Thus the answer is 6 miles.
Answer:
6 miles
Step-by-step explanation:
2A = 72
A = 72/2
A = 36
Area = s²
36 = s²
s = 6 miles
Answer:
3, and -7
Step-by-step explanation:
First factor the trinomial
y=x2−4x−21
.
Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).
y = (x + 3)(x - 7)
Solving the 2 binomials, we get:
x = -3 and x = 7
We want to solve the given quadratic inequality.
The correct option is the second one, counting from the top.
So we need to solve:
x^2 - 4x - 21 ≤ 0
Because we have the graph, we can avoid all the algebra.
Notice that the equation must be equal to or smaller than zero, then we just need to find the values of x such that the graph intersects the x-axis or is below it.
By looking at the given graph, we can see that the given range goes from -3 to 7
Then the solution is:
-3 ≤ x ≤ 7
This would be represented with a number line going from -8 to 8, two closed circles (because we use the symbols ≤ ≥) at negative 3 and 7, and the region between the circles is shaded.
The correct option is the second one.
If you want to learn more, you can read:
Answer:
A=0.25
B=0.35
C=1.05
Step-by-step explanation:
1. A+B=0.6
2. A+C=1.3
3. C=3B
2 subtract 1:
3 substituted:
Answer:
2,240 square meters
Step-by-step explanation:
The shape above is a trapezoid. Therefore, we can use the area formula for a trapezoid:
A=1/2(a+b) *h
where a is the short base, b is the long base is h is the height.
In this trapezoid, the short base is 50 meters , the long base is 90 meters and the height is 32 meters.
a= 50
b=90
h=32
A=1/2(50+90)*32
Add inside the parentheses first.
A=1/2(140)*32
Multiply 1/2 and 140, or divide 140 by 2.
A=70*32
Multiply 70 and 32
A=2240
Add appropriate units. In this case, the units are meters^2
A=2240 meters^2
The area of the playground is 2,240 meters^2
Answer:
The answer is 2240m².
Step-by-step explanation:
Given that the formula of area of trapezium is A = 1/2×(a+b)×h where a and b represents the length and h is height :
Answer:
Area of rectangle =
Length of rectangle = 14 m
Width of rectangle = 14 m
Step-by-step explanation:
Given:
Perimeter of rectangle is 56 m
To find: the maximized area of a rectangle and the length and width
Solution:
A function has a point of maxima at if
Let x, y denotes length and width of the rectangle.
Perimeter of rectangle = 2( length + width )
Also, perimeter of rectangle is equal to 56 m.
So,
Let A denotes area of rectangle.
A = length × width
Differentiate with respect to x
Put
Also,
At x = 14,
So, x = 14 is a point of maxima
So,
Area of rectangle:
Length of rectangle = 14 m
Width of rectangle = 14 m
Answer:
∠EBF = 51°
∠DBE = 17°
∠ABF = 141°
∠EBA = 90°
∠DBC = 107°
∠DBF = 68°
Step-by-step explanation:
Hope this helps
Answer:
1.
a. m<EBF = 90 - 39 = 51
b. m<EBA = 90
c. m<DBE = 90 - 73 = 17
d. m<DBC = 90 + 17 = 107
e. m<ABF = 90 + 51 = 141
f. m<DBF = 17 + 51 = 68
2.
<ABD, <DBE, <EBF, <FBC, <DBF
3.
<ABF, <DBC
4.
<ABE, <EBC