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3 years ago

2. What is the midpoint of (5,3) and (-3,-7)?

Mathematics

1 answer:

BabaBlast [244]3 years ago

4 0

Answer: (1,-2)

Step-by-step explanation: 5+-3 equals 2. 2 divided by 2 is 1 (one of the midpoints) and 3+-7 equals -4. -4 divided by 2 is -2.

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-5t+3= -4 please answer this question and show your work also

astraxan [27]

Answer:

t=7/5

Step-by-step explanation:

If you subtract 3 from each side, you end up with -5t=-7. In order to keep t isolated, you would have to divide -5 on both sides. When you do this, you will end up with t= -7/-5. You also need to simplify that. When simplified you end up with t=7/5. Hope this helps!

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4 years ago

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Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the

fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For $y$ :

$sin(65 \°)=\frac{y}{45 ft}$ (1)

Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

Isolating $y$ :

$y=40.78 ft$ (2)

For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

Finding $d$ :

$d=x+100 ft$ (5)

$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

So, in this case we will use the Pithagorean theorem:

$h^{2}=y^{2} +d^{2}$ (7)