Answer:
-√2+√6/4
Step-by-step explanation:
Answer:
B. 187
Step-by-step explanation:
I think this is correct I took a test on this before
Answer:
Step-by-step explanation:
Let the equal number of hours be represented by variable H;
The two equations will be as follows;
Jack; 40 +30H
Mark; 50 +25H
Next, equate them;
40 + 30H = 50 + 25H
30H - 25H = 50 - 40
5H = 10
H =10/5
H = 2hrs
Therefore, they charge the same amount at 2 hrs.
B.) The amount charged;
Replace the variable H in any of the two equations above with 2 to solve for the amount.
Equation 40+30H = 40 + (30*2)
=40 + 60
= $100
Answer:
<em>The resulting zygote will have 78 chromosomes.</em>
Step-by-step explanation:
The sperm and eggs are the sex cells of animals. These cells contain half the number of chromosomes compared to the number of chromosomes present in the somatic cell of that particular organism.
When the sperm and the egg cell unite to form a zygote, the 39 chromosomes in the wolf's sperm and the 39 chromosomes in the female wolf's egg will add up to male 78 chromosomes in the zygote.
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm