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2 years ago

What is the sum of the first five prime numbers? 18 26 28 39

Mathematics

1 answer:

Kitty [74]2 years ago

8 0

Answer:

Step-by-step explanation:

So our first 5 prime numbers are 2,3,5,7,11. Hence, the answer is 28

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5 days = ? hours Can you please show work so i can understand better?

son4ous [18]

24 Hours in one Day

5 Days

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3 years ago

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0.09 is one tenth of

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0.9 10

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3 years ago

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If an angle is 16 degrees less than the measure of its complement. What’s the measure of the angle?

Margarita [4]

x-16+x=180

2x-16=180

2x=196

x=98 degrees

x-16= 82 degrees

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3 years ago

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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

4 0

3 years ago

In which step did Rob make a mistake?

Karolina [17]

Answer:

Explanation:

Using the PEMDAS rule:
P = parentheses
E = exponent
M = multiplication
D = division
A = Addition
S = subtraction

Step 1: 6 + 4 x 3 - 10/5

Step 2: 6 + 12 - 2

Step 3: 18 - 2

Step 4: 16

6 0

3 years ago