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Radda [10]
3 years ago
13

Dolve for theta. С 13 4 o o A B Your answer​

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0

Answer:

θ ≈ 17.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan θ = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{4}{13} , then

θ = tan^{-1} (\frac{4}{13} ) ≈ 17.1° ( to the nearest tenth )

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A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr
frozen [14]

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

3 0
2 years ago
A function of the form f(x)=mc+b, where m and b are real numbers is called a ____ function ?
FrozenT [24]
You mean f(x) = my+ b
This is called slope
7 0
3 years ago
Its for science but its got math involved<br>its got to do with speed distance and time​
KIM [24]
<h3>for 1</h3>

distance:1, 1, 1.3, 1.5, 2, 2.3, 2.5, 3 ,3.2, 4

time. :1, 2, 3 , 4 , 5 , 6 , 7 , 8 ,. 9 ,10

<h3>for 2</h3>

distance:1.5, 2, 3.2, 4.2, 5, 6, 7, 8

time. : 1 , 2, 3 , 4. , 5, 6, 7, 8

<h3>at 5 seconds which travelled the greatest distance : snail 2</h3>

<h3>which travelled a greater distance:snail 2</h3>

<h3>what is the speed of snail 1 at 8 second :</h3>

distance = 3. Time = 8

speed = distanc<em>e</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>ti</em><em>me</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>spee</em><em>d</em><em> </em><em>=</em><em> </em><u>8</u>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>3</em>

<em>sp</em><em>eed</em><em> </em><em>=</em><em>2</em><em>.</em><em>6</em><em>6</em><em> </em>

<em>approximately</em><em> </em><em>=</em><em> </em><em>2</em><em>.</em><em>7</em><em>. </em><em> </em><em>or</em><em> </em><em>3</em>

7 0
3 years ago
Y = -2x - 5
lions [1.4K]

Answer:

A. One line

Step-by-step explanation:

Let rearrange the system of equations into explicit forms:

y = -2\cdot x - 5

6\cdot x + 3\cdot y = -15

3\cdot y = -6\cdot x - 15

y = -2\cdot x - 5

The second equation is identical to the first one, which means that there is just one line.

6 0
3 years ago
A lunch bill is $12 before tax. If the tax on the bill is 7.5% what is the total cost of the lunch including tax?
nikitadnepr [17]

Answer:

\boxed{ \bold{ \huge{\boxed{ \sf{ \: 12.9 \: \:  dollars}}}}}

Step-by-step explanation:

Given,

Cost without tax = $ 12

Tax percent = 7.5 %

Cost including tax = ?

<u>First</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>tax</u><u> </u><u>amount</u><u> </u><u>:</u>

\sf{tax \: amount \:  =  \: 7.5 \: \% \: of \: 12}

⇒\sf{tax \: amount =  \frac{7.5}{100} \times 12}

⇒\sf{tax \: amount = 0.9} dollars

<u>Finding </u><u>the</u><u> </u><u>total</u><u> </u><u>cost</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>lunch</u><u> </u><u>including </u><u>tax</u><u> </u><u>:</u>

⇒\sf{total \: cost \:  =  \: 12 + 0.9}

⇒\sf{total \: cost \:  =  \: 12.9} dollars

Hope I helped!

Best regards ! :D

6 0
3 years ago
Read 2 more answers
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