Answer:
x = 3.33... or 10/3
Step-by-step explanation:
3(2x - 4) = 8
distribute the 3 into the parentheses
3 • 2x = 6x
3 • -4 = -12
6x - 12 = 8
add 12 to both sides
6x = 20
divide both sides by 6
x = 3.33... or 10/3
The area of a kite is (1/2) * x * y, where x and y are the length of the two diagonals. In this case, the length of the two diagonals are 10 ft and 2 ft.
<span>Plug that in the equation, we get 1/2 * 2 * 10. We multiply the 2 and 10 first to get 20, that leaves us with 1/2 x 20, which is 10, so the area of this kite is 10 ft squared.</span>
Answer:
30.1 feet.
Step-by-step explanation:
We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.
First of all, we will draw a diagram to represent our give scenario as shown in the attachment.
We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.
We know that tangent relates opposite side of a right triangle to its adjacent side.
Therefore, the poll is approximately 30.1 feet tall.
3:4 = G:B
1:5 = Mr. Smith's class: 7th Grade
2:7= 7th: Middle school
12 girls = 3 units
1 unit = 12/3= 4
Boys = 4x4= 16
<em>Whole class = 28 students</em>
Class : Grade = 1:5 <em> 7 = number of units in Mr. Smith's class</em>
28 = 1 unit
5 units= 28x5= 140 <em>There are 140 kids in the grade</em>
140 = 2 units
1 unit = 140/2= 70
70x7=490
<u><em>There are 490 students in the whole grade</em></u>
