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2 years ago

Simplify the trigonometric expression. Sinx Tanx/Cosx

Mathematics

1 answer:

Eduardwww [97]2 years ago

6 0

tan(x) * cos(x) = (sin(x)/cos(x)) * cos(x) = sin(x)

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An adventure company wants to run a zip line from the top of one building that is 95 feet tall to the top of another building th

Alex777 [14]

The difference of the length between the 2 buildings
D=L1-L2
D=95-55
D=40 feet
we use Pythagoras formula
D^2+X^2=Z^2
X=distance between buildings
Z=length of the zip line
Z=50 feet

7 0

3 years ago

There is a total of $39.55. There are 3 times as many dimes as nickels, how many of each coin type was collected ?

katovenus [111]

Number of dimes collected is 339 and number of nickels collected is 113

Solution:

Given that There is a total of $39.55

There are 3 times as many dimes as nickels

To find: Number of dimes and nickels collected

Let "d" be the number of dimes collected

Let "n" be the number of nickels collected

We know that,

1 dime = $ 0.10

1 nickel = $ 0.05

From given information,

There are 3 times as many dimes as nickels

So, we get

Number of dimes = 3(number of nickels)

d = 3n

Given that there is total of $ 39.55

number of dimes collected x value of 1 dime + number of nickels collected x value of 1 nickel = $ 39.55

$3n \times 0.10 + n \times 0.05 = 39.55\\\\0.3n + 0.05n = 39.55\\\\0.35n = 39.55\\\\n = \frac{39.55}{0.35}\\\\n = 113$

Substitute n = 113 in d = 3n

$d = 3(113) = 339$

Summarizing the results:

number of dimes collected = 339

number of nickels collected = 113

4 0

3 years ago

Pls help, thank you

Lemur [1.5K]

Answer:

y = -3x² + 7x - 9

Step-by-step explanation:

Given quadratic function:

y = ax² + bx + c

Points on the graph:

(-2,-35), (1,-5), (3,- 15)

Substitute values of x and y and solve the system of equations:

-35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c ⇔ eq 1
-5 = a(1)² + b(1) + c ⇒ -5 = a + b + c ⇔ eq 2
-15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c ⇔ eq 3

Subtract eq 2 from eq 1:

-35 - (-5) = 4a - 2b + c - a - b - c
-30 = 3a - 3b
b = a + 10 ⇔ eq 4

Subtract eq 2 from eq 3:

-15 - (-5) = 9a + 3b + c - a - b - c
-10 = 8a + 2b
b = -4a - 5 ⇔ eq 5

Compare eq 4 and eq 5, solve for a:

a + 10 = -4a - 5
a + 4a = -5 - 10
5a = -15
a = -3

Find the value of b using eq 4:

b = -3 + 10
b = 7

Find the value of c using eq 2:

-5 = -3 + 7 + c
c = -5 - 4
c = -9

We now have a, b and c:, the function is:

y = -3x² + 7x - 9

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2 years ago

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Help me answer dis .

iren [92.7K]

Answer:

Step-by-step explanation:

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2 years ago

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Can i please have more daily answers please.

V125BC [204]

No maaaaaaaaaaaaaaaaaam

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3 years ago

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