Help please
1 answer:
Answer:
The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Step-by-step explanation:
Consider the provided number line.
From the number line we can observed that:
1) A, B, C and D lies between -1 and 0.
2) Point A and B lies between -1 and -0.5
3) Point C and D lies between -0.5 and 0
Therefore, the value of A and B must have a negative value lying between -1 and -0.5
Also, the value of C and D must have a negative value lying between -0.5 and 0.
Now consider the provided options.
Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16
This is Incorrect representation because the value of A and B should lying between -1 and -0.5.
Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.
Also they are in ascending order from -1 to 0.
Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
You might be interested in
Answer:
23.7°
9.1~ft
Step-by-step explanation:
Formula for the area of a sector of central angle n (in degrees) and radius r:
We have:
A = 100 ft^2
r = 22 ft
We need to find:
r
The central angle measures 23.7°.
Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:
We have:
n = 23.7°
r = 22 ft
We need to find:
s
If the angle in B is 45º, that means the angle in A is also going to be 45º, considering it's a right triangle, so AC and BC are they have the same length.
Then using Pythagoras, you'll get that
equals 
.
Now, you know that AC=BC and that AB=24.
So you'll get
. You do the square root in both sides and you get that 2AC=24 and AC=12.
Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus<span> will be the height)
And so the area is equal to 72.</span>
Then using Pythagoras, you'll get that
Now, you know that AC=BC and that AB=24.
So you'll get
Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus<span> will be the height)
And so the area is equal to 72.</span>