(30a^2 -11a+15)(5a-6)^-1

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

$(30a^2-11a+15)(5a-6)^{-1}= (30a^2-11a+15)/(5a-6)\(5a-6)(6a+5)/(5a-6)\6a+5$

The final simplified answer is 6a + 5.

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Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long

Sindrei [870]

Answer:

Kindly check explanation

Step-by-step explanation:

28,136,720

Word form: Twenty eight Million, One hundred and thirty-six thousand, seven hundred and twenty

Expanded form: (2 * 10,000,000) + (8 * 1,000,000) + (1 * 100,000) + (3 * 10,000) + (6 * 1000) + (7 * 100) + (2 * 10) + (0 * 1)

2.) 67, 564, 312

Sixty seven million, five hundred and sixty four thousand, three hundred and twelve

(6 * 10,000,000) + (7 * 1,000,000) + (5 *100,000) + (6 * 10,000) + ( 4 *1000) + (3* 100) + (1 * 10) + (2 * 1)

3.) 534, 235, 260

Five hundred and thirty four million, two hundred and thirty five thousand, two hundred and sixty.

(5 * 100,000,000) + ( 3 * 10,000,000) + (4 * 1,000,000) + (2 * 100,000) + ( 3 * 10,000) + (5 * 1,000) + (2 * 100) + (6 * 10) + (0 * 1)

4.) 43, 780, 523

Fourty three million, seven hundred and eighty thousand, five hundred and twenty three.

(4 * 10,000,000) + (3 * 1,000,000) + (7 * 100,000) + (8 * 10,000) + (0 * 1000) + (5 * 100) + (2 * 10) + (3 * 1)

5.) 456,156, 156

Four hundred and fifty six million, one hundred and fifty six thousand, one hundred and fifty six

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5 0

4 years ago

Help plzz! Trig Question..

Darina [25.2K]

Answer:

8 meters

Step-by-step explanation:

First, we can draw this out. The angle of depression represents the angle above the line from the bird and the apple, as shown. A line can be drawn from the bird to the apple as well as from the apple's height to the bird's height. A third line can be drawn connecting the line that goes straight up from the apple to the bird, forming a right triangle. We know that this is a right triangle because the purely vertical line from the apple's height to the bird's height is perpendicular to the horizontal line from the bird to the line right above the apple.

Next, we know that we are given an angle and the side adjacent to it. We want to find the length of the side opposite to the angle because that will give us the height from the bird to the apple, and adding that to the height from the apple to the ground will give us the height of the tree. In sohcahtoa, one equation that symbolizes this is tan x = opposite/adjacent, so

tan(55°) = opposite/adjacent

= opposite/4.5

multiply both sides by 4.5 to isolate opposite

tan(55°) * 4.5 = opposite

≈ 6.43

Adding this to the height of 1.5 meters from the apple to the ground, we get the height of the tree to be approximately 7.93, rounding up to 8 meters