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1 year ago

25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp

Mathematics

1 answer:

Elanso [62]1 year ago

8 0

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is $\frac{opposite}{adjacent}$ :

$tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\$

$\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.$

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6. Complete the two-column proof.

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Answer:

Given: $\frac{x}{6} + 2 = 15$ ......[1]

To prove : x =78

Subtraction property states that you subtract the same number to both sides of an equation.

Subtract 2 from both sides of an equation [1];

$\frac{x}{6} + 2 - 2= 15 -2$

Simplify:

$\frac{x}{6} = 13$ ......[2]

Multiplication property states that you multiply the same number to both sides of an equation.

Multiply 6 to both sides of an equation [2];

$\frac{x}{6} \times 6 = 13 \times 6$

Simplify:

$x = 78$ proved!

Statement Reason

1. $\frac{x}{6} + 2 = 15$ Given

2. $\frac{x}{6} = 13$ Subtraction property of equality

3. $x = 78$ Multiplication property of equality

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3 years ago

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A ramp to a building has a height of 4 feet and the angle of elevation is 33 defrees. How long is the ramp?

sladkih [1.3K]

Height=4 ft
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2 years ago

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NISA [10]

Therefore the answer is D. (x + 1)(x2 + 2)

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3 years ago

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Solve for C and please show work

Zanzabum

Use the law of cosines:

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2 years ago

The length of a sticky note measures 77 millimeters.express this length in meters explain your thinking include an equation with

Eva8 [605]

The length of the sticky notes is $\bf77\times{10^{-3}}{\text{meter}}$ .

Further explanation:

Given:

The length of sticky notes is measured as 77 millimeters.

Calculation:

Since 1 meter contains 1000 mm, it can be written as follows:

$\begin{aligned}1000{\text{mm}}&\to{\text{1meter}}\\{\text{1mm}}&\to\frac{{\text{1}}}{{1000}}{\text{meter}}\\{\text{1mm}}&\to{10^{-3}}{\text{meter}}\\x\,{\text{mm}}&\to x \times {10^{-3}}{\text{meter}} \\ \end{aligned}$

Now, substitute 77 for x in above expression to obtain the length of sticky notes in meter as follows:

$77\,{\text{mm}}\to77\times{10^{-3}}{\text{meter}}$

Thus, the length of the sticky notes is $\bf77\times{10^{-3}}{\text{meter}}$ .

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:

Millimeters, meter, equation, sticky notes, measurements, length, function, substitution, Mexico, site, direct substitution, elimination, graph, middle term factorization, scientific notation.

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3 years ago

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