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sesenic [268]
2 years ago
13

Find the value of the variable or the measure of the missing part of each kite BD=

Mathematics
1 answer:
nataly862011 [7]2 years ago
7 0

Step-by-step explanation:

ED = EB

2x +3 = 5x -15

3+15=5x -2x

18 = 3x

18 ÷ 3 = x

x = 6

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Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (
erik [133]

Answer:

Part 1: 31.4 feet

Part 2: 61 feet

Part 3: 99,000 stalks of corn

Step-by-step explanation:

<u>Part 1:</u>

Diagram attached.

You can follow the problem closely and draw a diagram like this. The RED LINE is the distance we are looking to find.

The red line is the hypotenuse of a right triangle we can create (see the dotted line). We can now use the pythagorean theorem to solve for the distance.

Pythagorean Theorem is  hypotenuse^2 = leg^2 + leg^2

Let red line [what we want to find] be h and the other 2 sides are 10-5=5 ft & 25 + 6 = 31ft. So we have:

h^2 = 31^2 + 5^2\\h=\sqrt{31^2 + 5^2} \\h=31.4

Hence Bethany has to walk 31.4 feet

<u>Part 2:</u>

See 2nd diagram attached.

The blue line is the path of Bethany and the green line is path of Ben. The RED line is what we are looking to find, the shortest distance between them.

We use Pythagorean Theorem twice on the two triangles and add up the results.

<u>Left Triangle:</u>

If we make a triangle, we have base (one leg) = 30 and the other leg is 20-10=10. So we have:

h^2=30^2 + 10^2\\h=\sqrt{30^2 + 10^2} \\h=31.62

<u>RightSide triangle:</u>

two legs are 25 and 15 respectively, so we use the pythagorean theorem again:

h^2=25^2 + 15^2\\h=\sqrt{25^2 + 15^2} \\h=29.15

Thus, the shortest distance = 31.62 + 29.15 = 60.77 = 61 feet (rounded to nearest whole number)

<u>Part 3:</u>

The area of the Maize MINUS the area of the path is the Area of the Corn [what we are looking for].

Area of Maze:

100 * 100 = 10,000 sq. yd.

Area of Path = 1.5 * 3000 = 4,500 sq. yd.

Area of Corn = 10,000 - 4,500 = 5,500 sq. yard of land.

Now, each sq. yd. holds 18 stalks, so 5,500 sq. yd. will hold:

18 * 5,500 = 99,000 stalks of corn

<u />

7 0
3 years ago
The graphs below show measurements from cubes
UNO [17]

Answer:

the first one and the third one

Step-by-step explanation:

5 0
2 years ago
Given a right triangle, If tan aq=3/4, what is the length of the side adjacent to aq?
olasank [31]
Tan = o/a and = 3/4 so the opposite is 3 and the adjacent is 4
8 0
3 years ago
Hi anyone tell me the answer
Ivahew [28]

Answer:

(1,B) (1,R) (2,B) (2,R) (3,B) (3,R)

5 0
3 years ago
Find the slope of the line.
Anika [276]

The equation for working out the slope of a linear line is: \frac{y_2 - y_1}{x_2 - x_1}, where x and y are the coordinate pairs.

So just pick two of the purple dots on the graph and fill in the equation.

I'll pick the dot that's (-4, 1) and (4, -7).

Now I just do \frac{7 - 1}{4 - -4}, which is just \frac{3}{4} when simplified.

6 0
3 years ago
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