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3 years ago

Let u be an angle in the 4th quadrant with cos u=8/9 Then sin u=

1 answer:

5 0

To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9

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If 3 is added to a number and the sum is multiplied by 7,gives 91 as result. Find the number.

WINSTONCH [101]

Answer:

Step-by-step explanation:

10+3 = 13

13 x 7 = 91

4 0

3 years ago

Read 2 more answers

In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the

docker41 [41]

1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70 /* 4
4 x + 2y = 258

4 x + 4 y = 280 (R1)
4 x + 2y = 258 (R2)

2y = 22 /:2 it is R1 - R2
x = 70 - y

y = 11 /motorcycles
x = 70 - 11 = 59 /cars

check:
59 + 11 = 70 ok
59 * 4 + 11 * 2 = 236 + 22 = 258 ok

5 0

3 years ago

Activity 1. Evaluate the following limits.

Vikki [24]

Can you give me an idea of what you want

6 0

2 years ago

What is the equivalent expression to 9+(5+3). <br><br> Help

Gelneren [198K]

9+(5+3) is going to be 17

3 0

3 years ago

What will the length of segment I' J' be?<br>

Ymorist [56]

Answer:

5.333

Step-by-step explanation:

To find the length of dilated I' J' we need to dilate the shape.

To do this you multiply each coordinate by 8/3.

Ex: (x,y) ---> (8/3x, 8/3y)

H: (0,3) ---> (8/3*0, 8/3*3)

I: (1,1) ---> (8/3*1, 8/3*1)

J: (3,1) ---> (8/3*3, 8/3*1)

K: (2,5) ---> (8/3*2, 8/3*5)

Now we plot this. (Picture attached)

The new I' coordinate: (2.667, 2.667)

The new J' coordinate: (8, 2.667)

The new length would be 8 - 2.667 so we can find the distance between the two points.

Note we are subtracting the y coordinates and not x because x coordinates represent height and y represents length

8 - 2.667 equals 5.333

So the length of segment I' J' will be 5.333

5 0

2 years ago