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gladu [14]
2 years ago
13

1. There were 88 birds in the tree and then b of the birds flew away. Write an expression that shows how many birds are in the t

ree now.
2. Brice had $73 and then he earned d more dollars. Write an expression that shows how much money he has now.

3. Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
Mathematics
1 answer:
avanturin [10]2 years ago
4 0

Answer:

1. 88 - b

Since there is 88 birds and a few of them flew away. You know b represents the amount of birds present.

2. 73 + d

Since he is earning d (amount of dollars) so what you have to do is add the amount of dollars, d, to the orginial amount, which is 73.

3. 23 x g

Since Kurt has 23 miles. If he drives 23 miles to a gallon and we have g gallons then we would multiply to find how far he can drive.

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Suppose that theta is an angle in standard position whose terminal side Intersects the unit circle at (-11/61, -60/61)
Blizzard [7]

Answer:

The exact values of the tangent, secant and cosine of angle theta are, respectively:

\cos \theta = -\frac{11}{61}

\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}

\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}

Step-by-step explanation:

The components of the unit vector are x = -\frac{11}{61} and y = -\frac{60}{61}. Since r = 1, then x = \cos \theta and y = \sin \theta. By Trigonometry, tangent and secant can be calculated by the following expressions:

\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}

\sec \theta = \frac{1}{\cos \theta} = \frac{1}{x}

Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:

\cos \theta = -\frac{11}{61}

\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}

\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}

3 0
3 years ago
Where does a mathematician go when she commits a crime
Shkiper50 [21]
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2(x+4)

7 0
2 years ago
Complete the missing value in the solution to the equation −4x−y=24
Vedmedyk [2.9K]

Answer:

-4x-y=24= - 4 · (-7) - 4 = 24

 

6 0
3 years ago
Consider the expression 2√3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 This expression can be represented as the product of the factors.
Alla [95]

Answer with explanation:

The given expression is:

 2 \sqrt{3}\cos x * \csc x+4 \cos x-3 \csc x-2\sqrt{3}\\\\=2 \cos x*(\sqrt{3}*\csc x+2)-\sqrt{3}*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)=0\\\\(2\cos x -\sqrt{3})=0 \wedge (\sqrt{3}*\csc x+2)=0

  \cos x=\frac{\sqrt{3}}{2} \wedge \csc x=\frac{-2}{\sqrt{3}}\\\\x=\frac{\pi}{6},2\pi-\frac{\pi}{6}\\\\x=\frac{\pi}{6},\frac{11\pi}{6} \wedge x=\pi+\frac{\pi}{3} ,2\pi-\frac{\pi}{3}\\\\x=\frac{4\pi}{3},\frac{5\pi}{3}\\\\x={\frac{\pi}{6},\frac{11\pi}{6},\frac{4\pi}{3},\frac{5\pi}{3}}

Option C

8 0
2 years ago
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