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3 years ago

Is 3 a solution of the inequality for b + 4 < 6?

Mathematics

2 answers:

Olegator [25]3 years ago

5 0

Answer:

No.

Step-by-step explanation:

$b + 4 < 6 \\ b < 6 - 4 \\ b < 2$

Or we can substitute b = 3 in the Inequality.

$3 + 4 < 6 \\ 7 < 6$

From solving the Inequality, 3 is greater than 2. Therefore, 3 is not the solution.

From substitution, 7 < 6 is false. Therefore, 3 is not the solution.

GREYUIT [131]3 years ago

4 0

Answer:

Step-by-step explanation:

3+4=7

7>6

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A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to

vovikov84 [41]

Answer:

30.1 feet.

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(62^{\circ})=\frac{h}{16}$

$h=16\cdot \text{tan}(62^{\circ})$

$h=16\cdot 1.880726465346$

$h=30.0916234\approx 30.1$

Therefore, the poll is approximately 30.1 feet tall.

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3 years ago

Find the range of the data set 145, 612, 120, 349, 515, 212, 590.

storchak [24]

Answer:

The biggest - the smallest

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2 years ago

Read 2 more answers

Find the measure of each angle indicated. Show work.

kirza4 [7]

Answer:

? = 109 degrees

Step-by-step explanation:

45 + 75 + _ = 180 ( look for vertical angles)

45 + 75 + 60 = 180

60 +79 + _ = 180 (look for a straight line that forms 180 degrees)

60 + 79 + 41 = 180

68 + 41 + _ = 180 (look for a triangle that adds up to 180)

68 + 41 + 71 =180

180 - 71 = 109 (look for a linear pair)

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3 years ago

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Answer:

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3 years ago

Is 3 a solution of the inequality for b + 4 < 6?​

Is 3 a solution of the inequality for b + 4 < 6?