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3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

kow [346]3 years ago

5 0

Answer:

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 = $\sqrt{2500}$ = 50 ( subtract 32 from both sides )

x = 18 → A

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Which is the graph of a logarithmic function?

adelina 88 [10]

Answer:

Answer is the first choice.

Step-by-step explanation:

A logarithmic graph is the opposite of an exponential growth graph, so the first option is the only one that fits. Just took the test and the first choice is correct.

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3 years ago

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Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This

stellarik [79]

Answer:

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3 years ago

A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

We have to find the distance between the golf ball and the center of the green .

<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

Here, 

Distance between marker and centre of green is 150 yards
That is, Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
That is, Angle = 100°
The golfer peces off 30 yards to his ball
That is, Base = 30 yards

According to the law of cosine :-

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

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2 years ago

You need to solve for X

zhenek [66]

Look at the picture.

We have the proportion:

$\dfrac{x}{2}=\dfrac{305}{122}\ \ \ \ |\cdot2\\\\x=\dfrac{305}{61}\\\\x=5\ ft$

Answer: Rayan is 5 ft tall.

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3 years ago

Find the length of the missing leg. Round to the nearest tenth if necessary

mestny [16]

I’m going to use Pythagorus theorem for his question. // firstly I would do 20^2 + 16^2 = 656 // we them square root that number, so the square root of 656 is 25.61, meaning the missing length is 25.6

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3 years ago

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