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ANTONII [103]
3 years ago
8

A space traveler saw 17 stars. All but 8 disappeared into a black hole. How many were left?

Mathematics
1 answer:
kompoz [17]3 years ago
7 0
9 are left take 17 and subtract 8
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Write an equivalent expression to
mel-nik [20]
1. Distributive Property. 
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20

2. Combine like terms
12a + 28 + 6a + 20
18a +48


The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent. 
</span>
5 0
3 years ago
I need the whole solution
ddd [48]

Confused what the question is. Are you looking for the product or the zeroes?

If you are looking for the product, then:

Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)

= sec² + sec²csc² - 1 + csc²

= sec²csc² + sec² + csc² - 1

= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)

= sec²csc²

Answer: sec²csc²

***************************************************

If you are looking for the zeroes, then:

Using the zero product property, set each factor equal to zero and solve.

<u>First factor:</u>

sec²Θ - 1 = 0

sec²Θ = 1

secΘ = 1, -1

remember that secΘ is \frac{1}{cos}

\frac{1}{cos} = 1 \frac{1}{cos} = -1

cross multiply to get:

cosΘ = 1 cosΘ = -1

use the unit circle (or a calculator) to find that Θ = 0 and π

<u>Second factor:</u>

1 - csc²Θ = 0

1 = csc²Θ

1, -1 = cscΘ

remember that cscΘ is \frac{1}{sin}

\frac{1}{sin} = 1 \frac{1}{sin} = -1

cross multiply to get:

sinΘ = 1 sinΘ = -1

use the unit circle (or a calculator) to find that Θ = \frac{\pi}{2} and \frac{3\pi}{2}

Answer: 0, π, \frac{\pi}{2} , \frac{3\pi}{2}

7 0
3 years ago
Suppose a spider was able to create one thread that would extend from the top-right back corner of a room to the bottom-left fro
NNADVOKAT [17]

Answer:

d^2 = 30^2 + 12^2

e^2 = d^2 + 8^2

e^2 = 30^2 + 12^2 + 8^2

e = √(30^2 + 12^2 + 8^2) = 33.3 ft

7 0
3 years ago
Read 2 more answers
See attached file for question
Leto [7]

Answer:

1/6

Step-by-step explanation:

1/3 + 1/2= <em>1</em><em>/</em><em>6</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>so</em><em> </em><em>1</em><em>/</em><em>6</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>answer</em>

4 0
3 years ago
Arabica coffee costs $28 per pound and Robusta coffee
Soloha48 [4]

Given parameters:

Cost per pound of Arabica coffee  = $28 per pound

Cost of Robusta coffee = $8.75

Given number of pounds of Robusta Coffee = 3 pounds

Total cost of blend per pound = $15.50

Unknown:

Number of pounds of Arabica coffee  = ?

Solution:

Let the number of pounds of Arabica coffee  = A;

  We have to interpret this problem algebraically and solve;

  28A + 8.75(3) = 15.5(A + 3)

Now solve the expression above for A;

       28A + 26.25 = 15.5A + 46.5

       28A - 15.5A  = 46.5 - 26.25

          12.5A = 20.25

                 A  = 1.62

Number of pounds of Arabica Coffee is 1.62 pound

3 0
3 years ago
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