1 year ago

Max finds the product 3/7 x 6. Which statement is true?

1 answer:

3 0

The correct answer is choice B. When you are multiplying anything by a value greater than one, the answer you get will always be bigger than what you started with.

The reason lies with in the concept of multiplication.

If you have more than one group of something, you will have more than what you started with.

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If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).

Yuliya22 [10]

We can use the Pythagorean Trigonometric Identity which says:
$sin^2(t)+cos^2(t)=1$

Since we need to find sin(t), we have to solve for it:
$sin(t)= \sqrt{1-cos^2(t)}$

Let's plug in the given cos(t) value:
$sin(t) = \sqrt{1-cos^2( \frac{2}{7})}$

And solve sin(t):
$sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }$

Simplify further:
$sin(t) = \sqrt{ \frac{45}{49} } = \frac{ \sqrt{45} }{7} = \frac{ \sqrt{9*5} }{7}$

And it all simplifies down to:
$sin(t) = \frac{3 \sqrt{5} }{7}$

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:
$sin(t) = - \frac{ 3\sqrt{5} }{7}$

Hope this helps!

7 0

2 years ago

On a december day, the probability of snow is .30. the probability of a "cold" day is .50. the probability of snow and "cold" we

Svetradugi [14.3K]

Events A and B are independent if the following holds true:

P(A ∩ B) = P(A) * P(B)

where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.

Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.

7 0

2 years ago

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp

grin007 [14]

Answer:

ryan had a head start 10 meters

Step-by-step explanation:

hope this help

5 0

2 years ago

The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa

astraxan [27]

Answer:

same amount of money

Step-by-step explanation:

3 0

1 year ago

Find the volume of the composite space figure to the nearest whole number.

Alika [10]

Figure 1:
3 x 8 x 5 = 120cm³

Figure 2:
2 x 5 x 6 = 60cm³

Total Volume = 120 + 60 = 180cm³

3 0

2 years ago

Read 2 more answers