Well i think it 120 your welcome
Answer:
x = 49
The equation does have a solution
Step-by-step explanation:
The sqrt of x = 7, does have a solution. Simply remove the radical, and raise each side by the index of the radical.
In more basic terms, what number has the sqrt of 7? 7^2 is equal to 49!
Answer:
The length of AC is;
C. 50
Step-by-step explanation:
By the midpoint of a triangle theorem, we have that a segment that spans across and intersects with the midpoints of two sides of a triangle is equal to half the length of the third side and parallel to the length of the third side
The given parameters are;
The midpoints of ΔACE are B, D, and F
The length of EC = 44
The length of DF = 25
Therefore, we have;
Given that DF is a midsegment of triangle ΔACE, then DF ║ AC and
the length of DF = (1/2) × AC the length of AC
∴ The length of AC = 2 × The length of DF
The length of DF = 25
∴ The length of AC = 2 × 25 = 50
The length of AC = 50
To determine whether 10a-10c are true or false, you first need to know how to find the volume of the shoebox and the volume of the crate.
The equation for volume is l × w × h where l is the length, w is the width, and h is the height.
So, the volume of the shoebox is
V = l × w × h
V = 12 × 6 × 4
V = 288 cubic inches.
To find the volume of the crate, we simply multiply the volume of one shoebox by 20, as the crate holds 20 shoeboxes.
228 × 20 = 4560 cubic inches.
10a. Each shoebox has a volume of 22 cubic inches. <span>False. The volume is 228 cubic inches.
</span>10b. Each crate has a volume of about 440 cubic inches. <span>False. The volume of each crate is 4560 cubic inches.</span><span>
</span>10c. If the crate could hold 27 shoeboxes, the volume of the crate would be about 7,776 cubic inches.
For this one, let's do some more math. Since we figured out the volume of a crate holding 20 shoeboxes is 4560 cubic inches, let's do the same thing to find the volume of a crate holding 27 shoeboxes.
228 × 27 = 6156 cubic inches.
<span>False. The volume of a crate holding 27 shoeboxes would be 6156 cubic inches.
</span>11 part A:
Each term above describes the term below, but the term below doesn't necessarily describe the term above.
The choice of terms is : <span>trapezoid</span>, <span>triangle</span>, <span>rhombus</span>, <span>parallelogram</span>
Before we do anything else, let's define our terms, as well as the ones used in the diagram.
Trapezoid - A four sided shape with a pair opposite parallel sides.<span>
Triangle - </span>A shape with three sides.<span>
Rhombus - </span>A shape with four equal straight sides<span>.
Parallelogram - </span>A quadrilateral with two sets of parallel sides.<span>
Quadrilateral - </span>A four-sided shape with four angles.<span>
Square - </span>A four-sided shape with all four sides the same length, and all four angles are the same size.
The first term is quadrilateral. From this, we can determine that the term <span>triangle</span> won't be used at all, as it's a three-sided figure, whereas a <span>quadrilateral</span> is a four-sided figure. This leaves <span>trapezoid, rhombus, </span>and <span>parallelogram </span>as our terms.
A <span>trapezoid </span>is a <span>quadrilateral</span>, because it has four sides, but it can't be a <span>rhombus </span>or <span>parallelogram</span>, so it goes in the first open box.
A parallelogram is a trapezoid, because it has a pair of opposite parallel sides, but it can't be a rhombus, because it doesn't necessarily have all equal sides, so it goes in the second open box.
A rhombus is a parallelogram, because it has two sets of parallel sides, and goes in the third open box.
So, from top box to bottom box, the order the term go is
Quadrilateral
Trapezoid
Parallelogram
Rhombus
Square
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
