Answer:
30.6 cm²
Step-by-step explanation:
The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.
Area of square = 4.5 cm × 4.5 cm = 20.25 cm²
Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²
Area of parallelogram = 20.25 cm² + 10.35 cm² = 30.6 cm²
Hello again!
So just like in the last problem you would do the same here.
Solve for 3y + 6 = 3
Subtract 6 from both sides.
3y = -3
Divide by 3.
y = -1
Now plug it into 8y + 2.
8(-1) + 2 = ?
-8 + 2 = ?
= -6
I hope this helps love! :)
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
Answer:
these two apply:
10x + 12 = 38 and
10x = 26
Step-by-step explanation:
7x+6+3x+6 = 38
10x + 12 = 38
10x = 26
x = 2.6
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = 70 years, standard deviation (σ)= 5.5 years.
a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:
, for a sample size of n, the z score is: 
Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.
For x = 60:
For x = 80:
The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%
b) The z score that corresponds to top 10% is -1.28.
