Hey there! I'm happy to help!
Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.
Here is what Sandy should have done.
STEP 1: 6·4+2÷2-7
STEP 2: 24+1-7
STEP 3: 25-7
STEP 4: 18
I hope that this helps! Have a wonderful day! :D
Answer:
1st and 3rd choices
Step-by-step explanation:
1st:
The graph follows the y=mx+b pattern, which if fits will always be a straight line.
This expression will be used throughout to explain answers.
3rd:
The y-intercept, or b, is -2. In the y-intercept, the x value is 0, so a point in the line is (0, -2).
The rest:
The 2nd is wrong because the y-intercept is -2. The line is two units below the origin when the x value is zero.
The 4th is wrong, because the slope, m, is 1/3, which is less than 3.
The 5th is wrong, because as explained in the 3rd choice, the y-intercept is -2, not 2.
The answer is 5 I just took the test
You were supposed to find the area of the darkened area
For this case we must find the area of the figure composed of a triangle and a rectangle.
Triangle area:
Where b is the base and h is the height.
Area of the rectangle:
Where a and b are the sides.
The base of the triangle measures:
We find the height by trigonometry:
So:
On the other hand:
Thus, the total are the sum:
Answer:
Option A
Answer:
The cone has a larger volume.
Step-by-step explanation:
The volume of a cone is given by:
Where:
r: is the radius = 5 cm
: is the height of the cone = 10 cm
Then, the volume of a cone is:
Now, the volume of a pyramid is:
Where:
: is the area of the base
: is the height of the pyramid = 5 cm
The area of the base can be calculated as follows:
Hence, the volume of the pyramid is:
Therefore, the cone has a larger volume.
I hope it helps you!