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aleksley [76]
3 years ago
8

Consider the system of equation

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

firt thing i would do is take out things that are alike but if these are the options then i would a) multiply the first equation by -1

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Please solve this geo problem
Sunny_sXe [5.5K]

Step-by-step answer:

The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it.  The attached image does just that.

Here, we have (horizontal) distance of building to the tower is 400'.

We see two right triangles, each with a leg of 400' (horizontal).

The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.

Using the definition of tangent, we have

h1= 400tan24=178.1

h2=400tan20=145.6

The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet

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3 years ago
8 pt = __ qt.<br> 7 c = ___ fl oz.
Lisa [10]
8 pt = 4 qt
7c = 56 fl oz
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3 years ago
Fraction 5\6 x 3\10 what is the answer?
Katarina [22]
15/60 *Simplified Answer: 1/4
5 0
3 years ago
If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y
Rus_ich [418]

Answer:

y = 60

Step-by-step explanation:

<h3>Step 1: Make sense of the given</h3>

"The ratio of y to x is 3"

This means that, y\div x=3

"The sum of y and x is 80"

This means,  x+y=80

<h3>Step 2: Make use of the facts</h3>

If y\div x=3, then y = (3*x).

We can plug this into the other equation by substitution:

x + (3 * x)=80

This simplifies to:

4x = 80

Which we can solve out and get:
x=20.

<h3>Step 3: Plug and Chug</h3>

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: "y = (3*x)".

And now we substitute the value of x, into this.

y = (3 * (20))

By solving this out, we get:
y=60

So, the value of y is 60.

3 0
2 years ago
A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the
Anarel [89]
<h2>Hello!</h2>

The answer is:

The correct option is:

D. 40 feet.

<h2>Why?</h2>

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

Tan\alpha =\frac{Opposite}{Adjacent}

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

Tan(34\°) =\frac{Width}{60ft}

Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

6 0
3 years ago
Read 2 more answers
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