The triangles area would be 3 x 4 = 12 / 2 = 6.
The perimeter would be 12.
Answer:
Step-by-step explanation:
The expression is:
First, we will multiply the numerators together and denominators together.
This gives,
Now, we use the exponent property .
This gives,
Now, we use the exponent property
This gives,
From the properties of exponents,
So,
Answer:
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
pmf of X.
Probability of each outcome, 0, 1, 2, 3 or 4 white balls drawn.
Before the trials, you are equally as likely to get the black ball in the 1st trial(0 white balls drawn) to the 5th trial(4 white balls drawn). So this is an uniform distribution with
Thus, the pmf is:
convert 7 1/2 to a decimal which becomes 7.5 and here are the 3 different expressions to find the garden's perimeter.
1) p= 2(l + w)
2) p= 2 x 90+ 2 x 7.5
3) p= 90 + 7.5 + 90 + 7.5
9514 1404 393
Answer:
- horizontal: 390 N
- vertical: 590 N
- 707.2∠56.5° N
Step-by-step explanation:
The problem statement tells you the two horizontal forces are 185 N and 205 N. The total horizontal force is (185 +205) N = 390 N.
The vertical forces are said to be 300 N and 290 N. The total vertical force is (300 +290) N = 590 N.
The magnitude of the resultant is the root of the sum of the squares:
√(390² +590²) = √(152100 +348100) = √500200 ≈ 707.248
The angle of the resultant (relative to the horizontal) is ...
α = arctan(vertical/horizontal) = arctan(590/390) ≈56.53°
The resultant force is about 707.2 N at an angle of 56.5° above the horizontal.