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2 years ago

Solve 4,500 ÷ 9 = ___ using mental math.

Mathematics

2 answers:

Pachacha [2.7K]2 years ago

7 0

Answer:

4,500 ÷ 9 = 500

hope this helps <3

soldi70 [24.7K]2 years ago

6 0

Answer:

500

Step-by-step explanation:

1. 500

2. 1,000

3. 1,500

4. 2,000

5. 2,500

6. 3,000

7. 3,500

8. 4,000

9. 4,500

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A pilot in an apache rescue helicopter, at an altitude of 1200 feet, spots his two soldiers on the ground. the angles of depress

kykrilka [37]

Answer:

$x=1174\ feet$

Step-by-step explanation:

Right Triangle

It's a special type of triangle where one of its internal angles is 90°. The basic trigonometric formulas apply to relate lengths and angles. If h is the opposite side to the angle \theta, and x is the adjacent side of the same angle, then

$\displaystyle tan\theta =\frac{h}{x}$

Or, equivalently

$\displaystyle x =\frac{h}{tan\theta}$

The helicopter, ground and the two soldiers form two right triangles, as shown in the image below. Let's call x1 the distance from soldier 1 to the point O, then

$\displaystyle x_1 =\frac{h}{tan53^o}$

$\displaystyle x_1 =\frac{1200}{tan53^o}$

$x_1=904 \ feet$

Now for x2, the distance from soldier 2 to the point O

$\displaystyle x_2 =\frac{1200}{tan30^o}$

$x_2=2078\ feet$

The distance between the soldiers is

$x=2078\ feet-904\ feet$

$\boxed{x=1174\ feet}$

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2 years ago

5% tax on $20 is $.a0

siniylev [52]

40 cents, divide 20 by .05

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2 years ago

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How would I graph this

kap26 [50]

Answer:

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Step-by-step explanation:

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2 years ago

Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

astraxan [27]

Answer: $4\sqrt{3}$ .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

$D=\sqrt{(d-b)^2+(b-a)^2}$

Distance between points $(-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3})$ .

$D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}$

Hence, the correct option is $4\sqrt{3}$ .

3 0

2 years ago

Pleasee help x.x 1. Solve the system by elimination-

patriot [66]

Q1. The answer is x = 1, y = 1, z = 0

(i) -2x+2y+3z=0
(ii) -2x-y+z=-3
(iii) 2x+3y+3z=5
_________
Sum up the first and the third equation:
(i) -2x+2y+3z=0
(iii) 2x+3y+3z=5
_________
5y + 6z = 5

Sum up the second and the third equation:
(ii) -2x-y+z=-3
(iii) 2x+3y+3z=5
_________
2y + 4z = 2

(iv) 5y + 6z = 5
(v) 2y + 4z = 2
________
Divide the fifth equation by 2
(iv) 5y + 6z = 5
(v) y + 2z = 1
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Multiple the second equation by -3 and sum the equation
(iv) 5y + 6z = 5
(v) -3y - 6z = -3
________
2y = 2
y = 2/2 = 1

y + 2z = 1
1 + 2z = 1
2z = 1 - 1
2z = 0
z = 0

-2x-y+z=-3
-2x - 1 + 0 = -3
-2x = -3 + 1
-2x = -2
x = -2/-2 = 1

Q2. The answer is x = -37, y = -84, z = -35

(i) x-y-z=-8
(ii) -4x+4y+5z=7
(iii) 2x+2z=4
______
Divide the third equation by 2 and rewrite z in the term of x:
(iii) x+z=2
z = 2 - x
______
Substitute z from the third equation and express y in the term of x:
x-y-(2-x)=-8
x - y - 2 + x = 8
2x - y = 10
y = 2x - 10
______
Substitute z from the third equation and y from the first equation into the second equation:
-4x + 4y + 5z = 7
-4x + 4(2x - 10) + 5(2 - x) = 7
-4x + 8x - 40 + 10 - 5x = 7
-x -30 = 7
-x = 30 + 7
x = -37
y = 2x - 10 = 2*(-37) - 10 = -74 - 10 = -84
z = 2 - x = 2 - 37 = -35

8 0

2 years ago