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kvasek [131]
3 years ago
5

What is the value of sin(t) if cos(t)=0.1, and t is in quadrant 1

Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:

sin(t)=\frac{\sqrt{99}}{10}

Step-by-step explanation:

Remember that

If angle t belong to the First Quadrant

then

The value of sin(t) and cos(t) are positive values

we know that

sin^2(t)+cos^2(t)=1 ---> by trigonometric identity

we have

cos(t)=0.1=\frac{1}{10}

substitute

sin^2(t)+(\frac{1}{10})^2=1

sin^2(t)+\frac{1}{100}=1

sin^2(t)=1-\frac{1}{100}

sin^2(t)=\frac{99}{100}

sin(t)=\frac{\sqrt{99}}{10}

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If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will
miskamm [114]

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

7 0
3 years ago
What is the adult to child ratio of 8:5 if 390 attend how many are children
AVprozaik [17]
1. 8+5=13

2. 13 x 3 x 10 = 13 x 30 = 390

Using the information above transform the ratio 8:5.

8 x 30 : 5 x 30

If you do this, you'll end up with the ratio:

240 : 150

This means that 240 adults attended whilst 150 children attended.
6 0
3 years ago
6 times the difference of d and 5?​
densk [106]

Answer:

6d-30

Step-by-step explanation:

6(d-5)

6d-30             distributive property

4 0
2 years ago
The cumulative distribution function of a continuous random variable is the probability that the random variable X is greater th
ivann1987 [24]

Answer:

The correct answer is False.

Step-by-step explanation:

The cumulative distribution function of a continuous random variable is the probability that the random variable X is less than or equal to x, where x is a specific value of the continuous random variable X.

The cumulative distribution function is a function that is usually derived from a continuous random variable. We actually calculate the area underneath a probability density function between two points.

6 0
3 years ago
Please help me for number 1 and number 3
azamat
The middle is 2 :D hope this helps
8 0
3 years ago
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