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3 years ago

Write the ratio as a fraction in lowest terms.

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

Step-by-step explanation:

5 ft = 5 * 12 in. = 60 in.

The ratio is 60/35

Both numerator and denominator are divisible by 5.

12/7

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Solve the proportion.<br> 3/6 = 7/d

AysviL [449]

To solve this proportion:

$\frac{3}{6} =\frac{7}{d}$

Simplify 3/6, it reduces to 1/2

$\frac{1}{2} =\frac{7}{d}$

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

6 0

1 year ago

Read 2 more answers

Please find the answers below

spayn [35]

Answer:

option 3 is the correct.....

Step-by-step explanation:

multiplying all the algebraic expressions

volume of cuboid = 3x (x+3)(x+1)

= 3x³ + 12x² + 9x

3 0

3 years ago

What is the least common denominator for 1/8, 1/9 and 1/12

Alona [7]

The least common denominator for 1/8, 1/9 and 1/12 is 24

5 0

2 years ago

Please help with #22! You don’t have to fully explain.

erik [133]

3.5 strip As will fit into Strip b. 2/7 strip Bs will fit into strip A

4 0

3 years ago

Read 2 more answers

A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

4 0

2 years ago