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3 years ago

I can’t figure out the answer to these 2 questions

Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

Answer:

too small but im sorry i cant see it its too small and too blurry :p

Step-by-step explanation:

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An h = 135-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to

Vikentia [17]

Answer:

171 foot

Step-by-step explanation:

We are given that

Height of tower=135 ft

AC=55 ft

Let x be the length of shortest length of wire.

The angle of inclination of mountain with horizontal = $32^{\circ}$

The angle between sides AB and BC= $90+32=122^{\circ}$

Exterior angle is equal to sum interior angles of a triangle on the opposite sides .

We have to find the value of x.

We know that law of cosine

$c=\sqrt{a^2+b^2-2ab cos\theta}$

Substitute the values in the given formula we get

$x=\sqrt{(135)^2+(55)^2-2(135)(55)cos 122}$

$x=170.64 ft$

Hence, the length of wire needed=171 foot

7 0

3 years ago

The formula for converting from Celsius to Fahrenheit temperatures is F=9/5C+32

umka2103 [35]

Both the original and the inverse are functions because for each value of C there is a unique value of F and vice-versa.

i.e.
<span>B. Original is a function; inverse is a function </span>

8 0

3 years ago

Read 2 more answers

I need help on this.

mihalych1998 [28]

To start, we know that an isosceles trapezoid means that the length of P to Q is equal to the length of S to R. Therefore, taking that P is at (0,0), we can say that the distance formula from P to Q is equal to the distance formula from R to S. Our formulas are then $\sqrt{(a-0)^2+(b-0)^2} = \sqrt{(g-c)^2+(b-0)^2}$ if we take that g is the x value for R and b is the y value for R, seeing that Q and R are on the same Y value. Therefore, if we square both sides, we figure out that a²=(g-c)² and a=√(g-c)², so a is either equal to g-c or c-g. As the x value of R is clearly lower than the X value of S, and a is positive, we can take that a=c-g. Thus, because we want to solve for g, or the x value of R, we can add g to both sides to get g+a=c. Then, we can subtract a from both sides to get g=c-a, so you can put a as your answer.

Feel free to ask further questions, and Happy Holidays!

8 0

4 years ago

Read 2 more answers

A circle whose center is at (3,-5) has equation

Llana [10]

Answer: a = 10

radius = 7

Step-by-step explanation:

The generic equation for a circle of radius R is, centered in the point (a, b)

(x - a)^2 + (x - b)^2 = R^2

In this case, we know that the center is (3, -5)

Then the equation of the circle must be something like:

(x - 3)^2 + (y + 5)^2 = R^2

And we have:

x^2 + y^2 - 6*x + a*y = 15

First, let's complete squares for x:

(x - 3)^2 = x^2 + 2*(-3)*x + (-3)^2 = x^2 - 6*x + 9.

Then we can add 9 to both sides of the equation to get:

x^2 + y^2 - 6*x + a*y + 9 = 15 + 9

(x^2 - 6*x + 9) + y^2 + a*y = 24

(x - 3)^2 + y^2 + a*y = 24

Now let's do the same for y:

(y + 5)^2 = y^2 + 2*5*y + 5^2 = y^2 + 10*y + 25

From this we can already see that a must be equal to 10, if we replace a by 10, the circle equation becomes:

(x - 3)^2 + y^2 + 10*y = 24

Now we can add 25 to both sides of the equation to get:

(x - 3)^2 + y^2 + 10*y + 25 = 24 + 25

(x - 3)^2 + (y + 5)^2 = 49

An the radius of the circle will be equal to:

r = √49 = 7

5 0

3 years ago

If two cards are drawn out of a deck WITH replacement, what's the probability that you draw a red card and then an Ace? ** Remem

katen-ka-za [31]

Answer:

Step-by-step explanation:

The probability of drawing a red card is 1/2, since half of the cards in a deck are red. The probability of drawing an ace from a deck is 1/13, since there is an equal chance to pick any of the 13 numbers.

P(red card and ace)= P(red card)*P(ace)=1/2 * 1/13=1/26

4 0

4 years ago