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3 years ago

In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.

Mathematics

2 answers:

Crank3 years ago

5 0

Answer:

Step-by-step explanation:

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nikdorinn [45]3 years ago

4 0

Answer:

4/14

Step-by-step explanation:

1/2 of the small fish(8)are red so 4 small red fish out of 8 small fish, then you add the big fish to the denominator(bottom of fraction) and you get 4/14

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Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and cot θ= -6/7 . Find the exact values of

Llana [10]

Answer:

Part 1) $csc(\theta)=-\frac{\sqrt{85}}{7}$

Part 2) $sin(\theta)=-\frac{7}{\sqrt{85}}$ or $sin(\theta)=-\frac{7\sqrt{85}}{85}$

Part 3) $tan(\theta)=-\frac{7}{6}$

Part 4) $cos(\theta)=\frac{6}{\sqrt{85}}$ or $cos(\theta)=\frac{6\sqrt{85}}{85}$

Part 5) $sec(\theta)=\frac{\sqrt{85}}{6}$

Step-by-step explanation:

we know that

The angle theta lie on the IV Quadrant

sin(θ) is negative

cos(θ) is positive

tan(θ) is negative

sec(θ) is positive

csc(θ) is negative

step 1

Find the value of csc(θ)

we know that

$1+cot^{2}(\theta)=csc^{2}(\theta)$

we have

$cot(\theta)=-\frac{6}{7}$

substitute

$1+(-\frac{6}{7})^{2}=csc^{2}(\theta)$

$1+\frac{36}{49}=csc^{2}(\theta)$

$\frac{85}{49}=csc^{2}(\theta)$ rewrite

$csc(\theta)=-\frac{\sqrt{85}}{7}$ ----> remember that is negative

step 2

Find the value of sin(θ)

we know that

$csc(\theta)=\frac{1}{sin(\theta)}$

we have

$csc(\theta)=-\frac{\sqrt{85}}{7}$

therefore

$sin(\theta)=-\frac{7}{\sqrt{85}}$

$sin(\theta)=-\frac{7\sqrt{85}}{85}$

step 3

Find the value of tan(θ)

we know that

$tan(\theta)=\frac{1}{cot(\theta)}$

we have

$cot(\theta)=-\frac{6}{7}$

therefore

$tan(\theta)=-\frac{7}{6}$

step 4

Find the value of cos(θ)

we know that

$sin^{2}(\theta)+cos^{2}(\theta)=1$

we have

$sin(\theta)=-\frac{7}{\sqrt{85}}$

substitute

$(-\frac{7}{\sqrt{85}})^{2}+cos^{2}(\theta)=1$

$\frac{49}{85}+cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{49}{85}$

$cos^{2}(\theta)=\frac{36}{85}$

$cos(\theta)=\frac{6}{\sqrt{85}}$ ------> the cosine is positive

$cos(\theta)=\frac{6\sqrt{85}}{85}$

step 5

Find the value of sec(θ)

we know that

$sec(\theta)=\frac{1}{cos(\theta)}$

we have

$cos(\theta)=\frac{6}{\sqrt{85}}$

therefore

$sec(\theta)=\frac{\sqrt{85}}{6}$ ----> is positive

8 0

4 years ago

How do the values compare? Order the values from least to greatest.

aleksley [76]

Im pretty sure it would be ordered: -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
which is -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

Im not exactly sure if it is all correct, but i hope this helps! :)

8 0

2 years ago

Movie $5.50 Soda $1.75 Popcorn $2.25 Candy Bar $1.10 Jeffrey left home with $20 in his wallet. He had a quick lunch that cost $8

makvit [3.9K]

Answer:

He can do B.

Step-by-step explanation:

4 0

3 years ago

Kkhfjrjdjcvhrjrndjcvjvjcjdjdjejdnjf

Gwar [14]

Answer:

kkjyhtgrfgbhngbfefvrbgvn gbfevgb nbf

Step-by-step explanation:

8 0

3 years ago

Joanne buys a rectangular rug with and area of 35/4 square meters. The length of the rug is 7/2 meters. What is the width,in met

mezya [45]

The area is calculated as L * W
L = 7/2
A = 35/4

35/4 = 7/2 * x /multiply both sides by 4
35 = 2*7 * 4x
35 = 14 * 4x
4x = 35/14
4x = 5/2
x = 5/2 / 4
x = 5/2 * 1/4
x = 5/8

Check if its correct, I might be wrong :)

8 0

3 years ago