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PolarNik [594]
3 years ago
5

Express using algebra A inscreased by 15%

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

A(1.15)

Step-by-step explanation:

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Can someone help me with this
Alexandra [31]

Answer:

Step-by-step explanation:

The formula for this, specific to our circle, is

∠RQP = \frac{1}{2}(arc SP - arc RP) and filling in:

∠RQP = \frac{1}{2}(170-86) and

∠RQP = \frac{1}{2}(84) so

∠RQP = 42°

3 0
3 years ago
A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the to
OLEGan [10]

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

6 0
2 years ago
4⋅f(6)−6⋅g(5) need help asap
Leto [7]

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

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3 years ago
Increase £80 by 15%<br>​
Juliette [100K]
The answer to your question is 92
3 0
2 years ago
Write the standard form of the line that passes through the given points. (7, -3) and (4,-8)
Mama L [17]

The line equation is given by

y=mx+b

where <em>m </em>is the slope and <em>b </em>is the interception with <em>Y-axis</em>

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1 year ago
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