Answer:
5
r
o
2
t
Step-by-step explanation:
(√3+√7)²
We know ,[(a+b)²=a²+2ab+b²]
=>(√3+√7)²=(√3)²+2(√3)(√7)+(√7)²
=>(√3+√7)²=3+2√21+7
=>(√3+√7)²=10+2√21
Hello! So Sophia cuts two pieces of ribbon that are different lengths and lines them up together. To find the total length of the two ribbons, let's add them up. Because there is no digit in the thousandths place, we'll fill that in with a zero. Now, let's add up the numbers. 9.281 + 7.740 = 17.021. There. The total length of the ribbons is 17.021 cm long.
N=number
A: n divided by 7 minus 10
B: n times 7 minus 10
C: 10 divided by 7 minus n
D: n divided by 7 minus 10
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Answer:
lin
Step-by-step explanation:
