Answer:
From the bottom of the building to the top of the ladder, it is 16 feet.
Step-by-step explanation:
Depending on what grade you are in, you might know the Pythagorean theorem, whose equation is a^2+b^2=C^2 The measurement of the leaning ladder (20ft) is the hypotenuse of the right triangle, the distance from the bottom of the ladder to the building is the leg length (12ft). With this information we know the "c" of the equation, and the "b" or "a" of the equation. If we plug in the number for the letter the equation will look like this:
12^2+b=20^2. 20 to the second power is 400, and 12 to the second power is 144. You can use the subtraction property of equality and get b^2=256. Use can use a calculator for this part. The square root of 256 is 16, which leaves the equation with b=16
Answer:
See explanation
Step-by-step explanation:
Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.
Hope this helps!
Answer:
<h2>
43°</h2>
Step-by-step explanation:
In a cyclic quadrilateral, the sum of two opposite angles are equal.
m<R + m<P = 180°
plugging the values:
3y + 8 + y = 180°
Combine the like terms:
4y + 8 = 180°
Subtract 8 on both sides
4y + 8 - 8 = 180 - 8
Calculate the difference
4y = 172
divide both sides of the equation by 4
4y/4 = 172/4
calculate
y = 43°
Hope this helps...
Answer:
relating to or expressed as a number or numbers.
Step-by-step explanation:
Answer:
1) $8000
2) $1000
3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Step-by-step explanation:
We have the equation y = -1000x + 8000 which follows the linear equation:
y = mx + b, where m is our slope and b is our y-intercept
1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start
2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account
3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.
0 = -1000x + 8000
-8000 = -1000x
8 = x
It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
