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2 years ago

A circus artist is climbing a 20 m long rope, which is

1 answer:

7 0

Length of the rope is 20 m and angle made by the rope with the ground level is 30°.
Given:
AC = 20 m and angle C = 30°
To Find:
Height of the pole
Let AB be the vertical pole
In right ΔABC,
using sine formula
sin 30° = AB/AC
Using value of sin 30 degrees is 1/2 , we have
1/2 = AB/20
AB= 20/2
AB= 10
Therefore,the height of the pole is 10m.

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⅜ of the animals at the zoo equals to 600. 40% of all the animals at the

raketka [301]

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

5 0

2 years ago

What is the slope of this line?

Mamont248 [21]

Answer:

y= 2x

Step-by-step explanation:

The slope is 2

The y-intercept is zero because it intersects the origin so you do not need to right that.

Now just put it is slope-intercept form.

Hope you remember me because I just answered your other question 2 minutes ago! LOL :D

Can you please name me the brainiest in both of those answers. Thanks!

4 0

2 years ago

A mixture of compounds X and Y in a 0.100-cm cell had an absorbance of 0.215 at 272 nm and 0.191 at 327 nm. Find [X] and [Y] in

Oksi-84 [34.3K]

Answer: The concentration of X is $7.13582\times 10^{-6}$ and the concentration of Y is $2.53159\times 10^{-5}$ .

Step-by-step explanation:

Since we have given that

At 272 nm, absorbance = 0.215

At 327 nm, absorbance = 0.191

As we have given that

Compound X Compound Y

272 16400 3870

327 3990 6420

So, our equations becomes

$16400C_1+3870c_2=0.215\\\\3990C_1+6420C_2=0.191$

By solving these two equations, we get that

$C_1=7.13582\times 10^{-6}\\\\C_2=2.53159\times 10^{-5}$

Hence, the concentration of X is $7.13582\times 10^{-6}$ and the concentration of Y is $2.53159\times 10^{-5}$ .

5 0

3 years ago

Select the quadrant in which the terminal side of the angle falls.

Sedbober [7]

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

8 0

3 years ago

What is the domain of the function (-1,1) (0,0) (1,2)

galben [10]

Answer:

{-1,0,1}

Step-by-step explanation:

The domain of a function is the set of all input values. The input values are the first coordinate in any coordinate pair (x,y).

So the domain here is {-1, 0, 1}.

8 0

2 years ago