To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.
If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.
Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
Answer:
A. 0.69
Step-by-step explanation:
We need to use cosine theorem:
c²=a²+b² - 2ab* cos(θ)
c=8, a=7, b=11
8² = 7²+11² - 2*7*11 *cos(θ)
64 = 49 + 121 - 154*cos(θ)
64 - 170 = - 154*cos(θ)
- 106/ (- 154) = cos(θ)
cos(θ) = 0.69
<span>The simulations have different theoretical probabilities of a 3-child family having exactly one girl, and the experimental probabilities they generate may differ.</span>
Answer:
The smallest bag that has enough food to feed his bag for one month
= 3.6 kilogram
Step-by-step explanation:
The quantity of dry food Ray feeds his dog = 0.12 kilogram
So the quantity of food he feeds his dog in one month
= 0.12 × 30 ∵ since 1 month = 30 days
= 3.6 kilogram
The smallest bag that has enough food to feed his bag for one month
= 3.6 kilogram
