Answer
87 measures an acute angle
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
y-3=2(x+1)
y - 3 = 2x + 2
+3. +3
y=2x+5
-1 is the x value so plug it in where the x is in the equation
y=2(-1) +5
y= -2 + 5
y= 3
Step-by-step explanation:
(5.6) × 1/8

Here the unit fraction is 1/8
multiply 5.6 times 1
so its 5.6. then divide the decimal by 8
we know that 8 times 7 is 56
so 56 divide by 8 is 7
we have decimal point 1 number to the left
so we move decimal point 2 place left
Hence 5.6 divide by 8 is 0.7

Answer: 0.7
Answer:
To find the mode you need to check the number which is more often repeated in the set than the other.But as you can see here there is no number which is repeated more often than the other everyone is repeated once,so in this case we say that the set of data values has no mode.
To find the the range of the set of data you need to first place the numbers in ascending order (as it is already in) and then find the greatest and the smallest number and subtract them.
Range :
10,20,30,40,50,60,70,80,90,100,110,120,130,140,150.
Greatest number = 150.
Smallest number = 10.
Subtract = 150-10 = 140.
Step-by-step explanation:
Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓