Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Answer:
Step-by-step explanation:
Let the smaller integer be x
x+x+2 =34
2x+2=34
2x=32
x=16
Smaller even integer = 16
Larger even integer = 16+2 = 18
Answer = 16,18
Answer:
a=11
Step-by-step explanation:
So, the line that (9a+6) and 75 are sharing is straight, meaning that it is 180 degrees. Also, (9a+6) and 75 are sharing the line. Even though we don't know there exact measurements, when know that by adding them together we will get 180 degrees.
1. (9a+6) + 75 = 180
2. 9a + 81 = 180
3. 9a = 99
4. a = 11
Hope this helped!
Answer:
-11
Step-by-step explanation:
Plug in -2 for x
5(-2) - 1
Order of operations (or PEMDAS) tells you to multiply first giving you:
-10 - 1
-10 - 1 = -11
3² = x + 5. The equivalent equation to log₃(x+5) = 2 is 3² = x + 5.
In order to solve this problem we have to know about Logarithm.
Logarithm is defined as the exponent of a power with a certain base, that is, the number to which a given base must be raised to obtain a given result.
logₐ b = x ----------> aˣ = b
Solving for log₃(x+5) = 2 where a = 3, x = 2, and b = x + 5
3² = x + 5
