Answer:
?=19
x=30
Step-by-step explanation:
5/6x - 1/5x = 19
5(5/6x) - 6(1/5x) = 19
25/30x-6/30x=19
19/30x=19
19x=19(30)
19x=570
x= 570/19
x=30
Slope = 1/2 :)
rise over run (rise/run)
so... 2/4 = 1/2
hope this helps!
Answer:
864 cubic meters
Step-by-step explanation:
Rectangular prism = 5x9x12=540
Triangular prism = 1/2(9)(6)(12)=324
540+324=864 cubic meters
Answer:

Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.

Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7

Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49

Add.


Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.
Step-by-step explanation:
Since we have given that
Initial temperature = 2500
At t = 0,
we get that

After 2 minutes, the temperature of the steel is 1500 degrees.
so, it becomes,

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.
So, it becomes,

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.