In a right triangle, one angle should be a right angle, which means that angle should be 90°. Right angles are always 90°.
And in any triangle, the sum of the 3 interior angles should add up to 180°, this rule is always the same. Therefore, to find the third angle, we should simply subtract the angles we already know from the angle sum of triangle.
We can therefore list this equation:
Third angle = 180° - 24° - 90°
Third angle = 66°
Your answer should be 66°
Answer:
11th floor
Step-by-step explanation:
So to figure out what floor Rosa's office is in, we need to declare some variables.
x = Rosa's office
down 5 floors = -5
up 8 floors = 8
down 13 floors = - 13
One major clue to find Rosa's office is that she went down 13 floors to get to the 1st floor. So let's declare that Rosa is on the first floor.
x - 5 + 8 - 13 = 1
x - 10 = 1
x = 1 + 10
x = 11
So Rosa's office is at the 11th floor of the building.
Answer:
x=0.27
Step-by-step explanation:
The given expression is
To solve this equation, we graph the functions:
and
From the graph, the two curves intersects at x=-0.24 and x=0.27.
But the domain of the logarithmic function is x>0
Therefore x=0.27
Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than.
Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125
Answer:
Step-by-step explanation:
The original price of the math book is
50$, The amount of money that you have with you is $35.
If you get a discount of 20%, it means that you get 20% of $50. This is expressed as
20/100 × 50 = 0.2 × 50 = $10
The new cost of the math book is determined by subtracting the discount from the original price. It becomes
50 - 10 = $40
Since the amount that you have with you is $35, the amount that you need to borrow in order to buy the math book is
40 - 35 =$5
