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2 years ago

I’m really struggling! Please help me!!

Mathematics

1 answer:

Andrew [12]2 years ago

4 0

Answer:

8.0

Step-by-step explanation:

The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

$tan(37) = \frac{opposite}{adjacent}$

$tan(37) = \frac{6}{x}$

tan(37) evaluates to about , so we can plug it in and solve for x:

$0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962$

To the nearest tenth, x rounds to 8.0.

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What could be the coordinates of the third vertex, z, of triangle xyz so that it would have a hypotenuse with a length of square

ICE Princess25 [194]

Answer:

$z = (6,-1)$

Step-by-step explanation:

The missing parameters are:

$x = (3,-1)$

$y = (3,5)$

$yz= \sqrt{45$ --- Hypotenuse

Required

The coordinate of Z

First, calculate the distance xy

$xy = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$xy = \sqrt{(3 - 3)^2 + (-1 - 5)^2}$

$xy = \sqrt{0 + 36}$

$xy = \sqrt{36}$

$xy = 6$

By Pythagoras theorem, distance xz is:

$yz^2 = xz^2 + xy^2$

$(\sqrt 45)^2 = xz^2 + 6^2$

$45 = xz^2 + 36$

Collect like terms

$xz^2 =45-36$

$xz^2 =9$

$xz = \sqrt{9}$

$xz = 3$

This means that z is 3 units to the right of x

We have:

$x = (3,-1)$

The rule to determine z is:

$(x,y) \to (x + 3, y)$

So, we have:

$z = (3 + 3,-1)$

$z = (6,-1)$

8 0

3 years ago

Your race car weighs 1.5 tons. To make the car faster, you replaced the steel body with carbon-fiber and reduced the weight by 3

Ivan

2000 Pounds in a ton. 1.5 is 1 and a half. 2000/2 = 1000. 2000 + 1000 = 3000. 1.5 tons = 3k pounds. You reduce the weight of the car by 300 pounds. 3000 - 300 = 2700.
Your car weighs 2,700 pounds.
2,700 pounds is also equal to 1.35 tons

5 0

3 years ago

Read 2 more answers

One of the legs of a right triangle measures 15 cm and the other leg measures 6 cm.

antoniya [11.8K]

Answer:

16.2 cm

Step-by-step explanation:

use the pythagoran theorem

a² + b² = c²

15² + 6² = c²

225 + 36 = c²

261 = c²

Take the square root of both sides

16.1554944214 = c

Rounded

16.2 cm

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3 years ago

Someone please help me im abOUt To CrYY

Brrunno [24]

9514 1404 393

Answer:

A. Simon's unit rate is 2 more miles per hour than Eric's unit rate

Step-by-step explanation:

We are concerned with the number of miles each runs in 1 hour.

For Eric, that means x=1 in his equation, so his mileage is ...

y = 6×1 = 6 . . . . miles

For Simon, it means we want to find time = 1 hour on the horizontal axis at the bottom of the graph. Then we want to see where the graphed line crosses that vertical line. The point of crossing has horizontal line that goes over to 8 on the vertical distance axis. That is, Simon runs 8 miles in 1 hour.

Eric's unit rate (miles in 1 hour) is 6 miles per hour.

Simon's unit rate (miles in 1 hour) is 8 miles per hour.

Simon's unit rate is 2 more miles per hour than Eric's unit rate.

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2 years ago

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FACTOR....<br>x^2 + 10× - 2400 = 0

Vikki [24]

Answer:

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