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4 years ago

Round 9991 to the nearest thousands

Mathematics

1 answer:

stiv31 [10]4 years ago

6 0

Answer:

10,000

Step-by-step explanation:

In order to round numbers we look at the number to the right of whatever we are rounding to. So in this case we are rounding to the nearest thousand so we look at the number to the right of the thousands which is the hundred in this case. If that number is a 1-4 we round down and if that number is a 5-9 we round up. In this case the number to the right is a 9 so we will round up. The nearest thousand above 9991 is 10,000 so that is what we will round to

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2. The Geo Air pilot is looking at SCCA from the plane. From the aircraft the angle of depression is 17 degrees. If the plane is

lana66690 [7]

Answer:

The distance from the plane to SCCA is 34,203.0 feet approximately, and the horizontal distance is 32,708.5 feet approximately.

Step-by-step explanation:

You can draw a right triangle like the one shown in the figure attached, where:

x: horizontal distance.

y: distance from the plane to SCCA.

You can calculate x as following:

$tan\alpha=\frac{opposit}{adjacent}$

Where:

$\alpha=17\°\\opposite=10,000\\adjacent=x$

Substitute and solve for x:

$tan(17\°)=\frac{10,000}{x}\\\\x=\frac{10,000}{tan(17\°)}\\\\x=32,708.5ft$

You can calculate y as following:

$sin\alpha=\frac{opposit}{hypotenuse}$

Where:

$\alpha=17\°\\opposite=10,000\\hypotenuse=y$

Substitute and solve for y:

$sin(17\°)=\frac{10,000}{y}\\\\y=\frac{10,000}{sin(17\°)}\\\\y=34,203.0ft$

7 0

3 years ago

Help please!! angle 1 + angle 2 = ? angle 7 + angle 8 = ? angle 1 + angle 6 = ?

Vikki [24]

Answer:

angle 1 + angle 2 = ∠DEB

angle 7 + angle 8 = ∠NEG

angle 1 + angle 6 = ∠NEA

6 0

3 years ago

Triangle fgh is inscribed in circle o the length of radius oh is 6 and fh is congruent to og. what is the area of the sector for

Vilka [71]

Given :
Triangle fgh is inscribed in circle o

oh = 6 = radius of the circle
∵ fh is congruent to og

∴ fh = og = radius og the circle = 6

∵ of = radius of the circle = 6

∴ oh = fh = of = radius of the circle = 6

∴ Δ foh is Equilateral Triangle

 ∴∠ foh = 60° ⇒⇒⇒ property of the equilateral Triangle

∵ total area of the circle = π r² and total central angle of the circle = 360°
∴ Area of sector foh = (60°/360°) * π r²
∴ Area of sector foh = (60°/360°) * π * 6² ≈ 18.85

The answer is:

the area of the sector formed by angle foh = 18.85

4 0

3 years ago

1. Which is bigger: 3/4 or 4/5

Oksanka [162]

Answer:

let's take lcm of 4 and 5 is 20

so (3/4)*(5/5) =15/20

and (4/5)*(4/4)=16/20

so 4/5 Is bigger

Step-by-step explanation:

4/5 is bigger

4 0

3 years ago

The sum of the 3rd and 7th terms of an A.P. is 38, and the 9th term is 37. Find the A.P?

jarptica [38.1K]

Let a be the first term in the arithmetic progression. Then each successive term differs from a by a fixed number c, so that

• first term = a

• second term = a + c

• third term = (a + c) + c = a + 2c

• fourth term = (a + 2c) + c = a + 3c

and so on. In general, the n-th term in the AP is a + (n - 1) c.

The sum of the 3rd and 7th terms is 38, so that

(a + 2c) + (a + 6c) = 38

==> 2a + 8c = 38

==> a + 4c = 19 … … … [1]

The 9th term is 37, so

a + 8c = 37 … … … [2]

Subtracting [1] from [2] eliminates a and lets you solve for c :

(a + 8c) - (a + 4c) = 37 - 19

4c = 18

c = 18/4 = 9/2

Solve for a using either equations [1] or [2] :

a + 8 (9/2) = 37

a + 36 = 37

a = 1

Then the n-th term in the AP is 1 + 9/2 (n - 1) or 9/2 n - 7/2, where n ≥ 1.

3 0

3 years ago