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3 years ago

3. The scale of a model car is 1:32.

Mathematics

2 answers:

Vitek1552 [10]3 years ago

4 0

Answer:

6.1

I'm pretty sure.

Jlenok [28]3 years ago

3 0

Answer: The answer would be 73.6

Step-by-step explanation: We have to 32x2.3 to get 73.6.

Hope this helps!

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Solve 3^x − 2 = 3^7 A. 2 B. 5 C. 7 D. 9

Vikki [24]

Answer:

C) 7

Step-by-step explanation:

3^x−2=2187

Step 1: Add 2 to both sides.

3^x−2+2=2187+2

3^x=2189

Step 2: Solve Exponent.

3^x=2189

log(3x)=log(2189) <<Take log of both sides

x*(log(3))=log(2189)

x= log(2189)/log(3)

x=7.000832

4 0

3 years ago

Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

See comment for complete question.

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

2 years ago

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Fynjy0 [20]

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0 ------> this is the required quadratic equation.

5 0

3 years ago

Convert 7/9 to a decimal by long division

Tomtit [17]

0.77777777777777 and goes on forever since anything/9 is 0.(whatever that number is repeated)

5 0

3 years ago

Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, w

sergeinik [125]

Add them all together

3 0

3 years ago

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