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3 years ago

Will mark right answer brainliest!

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

1/12

Step-by-step explanation:

3/4 + -2/3

Get a common denominator of 12

3/4 *3/3 - 2/3 *4/4

9/12 - 8/12

1/12

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Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. He spots a fluffy white cloud

Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

$m\angle CAE = 30^{\circ}$

$m\angle EAD = 60^{\circ}$

Since,

$\tan =\frac{\text{Perpendicular}}{\text{Base}}$

$\implies \tan 60^{\circ}=\frac{DE}{AE}$

$\sqrt{3}=\frac{40}{AE}$

$\implies AE = \frac{40}{\sqrt{3}}$

Now,

$\tan 30^{\circ}=\frac{CE}{AE}$

$\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}$

$\implies CE = \frac{40}{3}$

Hence,

The height of the cloud above the lake = CE + ED

$=\frac{40}{3}+40=13.33+40 = 53.33\text{ meters}$

3 0

3 years ago

What is (2/3 x 3/5) - (3/4 x 1/6)

Kaylis [27]

Answer:

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

8 0

3 years ago

Read 2 more answers

ILL GIVE U BRAINLYIST

Sonbull [250]

Answer:

Step-by-step explanation:

hope this helps :) please mark me brainliest :)

8 0

3 years ago

Read 2 more answers

-5/-2 divided by 6/7

Yuri [45]

Answer:2.91666666667

Step-by-step explanation:

6 0

3 years ago

5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T

meriva

The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting 0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0

3 years ago