Answer:
<h3>t = 15d</h3>
Step-by-step explanation:
You must first know that 1 week = 7days
If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;
105 minutes = 7days
to calculate the total time t that she practices for any number of days, d, we will say;
t minutes = d days.
Solving both expression;
105 minutes = 7days
t minutes = d days.
Cross multiply;
7 * t = 105 * d
7t = 105d
Divide both sides by 7;
7t/7 = 105d/7
t = 15d
Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d
Answer:
sqrt(15² + 3²) = sqrt(15² + 3²)
Step-by-step explanation:
Using Pythagoras:
15 blocks North = 15 blocks south (direction opposite to each other)
3 blocks west = 3 blocks east (directions opposite to each other)
Hence distance traveled (d) :
JARON
D = sqrt(15² + 3²)
MARISOL:
D = sqrt(15² + 3²)
Hence ;
sqrt(15² + 3²) = sqrt(15² + 3²)
1. All you have to do to find the area of the figure. IS first find the area of the rectangle. This is easy because all you have to do is base times height.
22 x 17 = 374
Now to find the area of the triangle all you have to do is do base times height like a rectangle, but then divide it by 2 afterwords.
19 x 12 = 228 ÷ 2 = 114.
Now add the two area's together:
374 + 114 = 488.
Just do the same with the one below, I've altered the pic a bit to make it easier.
Answer:
x=13
Step-by-step explanation:
we can guess that the three angles are a linear pair and equal 180
in this case we can start writing a equation
x+105+62=180
now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.
x+167=180
now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer
180-167=13
so... x=13