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Semenov [28]
3 years ago
7

Please help! (listing BRAINLIST and giving points) ​

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

Tan is the ratio of "opposite" side to "adjacent side

Cos is the ratio of "adjacent" to "hypotenuse"

Sin is the ratio of "opposite" to "hypotenuse"

We will write the trig ratios with respect to the angle "x"

Opposite Side is "c"

Adjacent Side is "b"

Hypotenuse is the side opposite of 90 degree angle, "a"

Now, let's write the ratios:

Step-by-step explanation:

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Please help me solve this, and show your work
zlopas [31]

6r+5=11r\ \ \ \ |\text{subtract 6r from both sides}\\\\5=5r\ \ \ \ |\text{divide both sides by 5}\\\\\boxed{r=1}\\-------------------------\\\dfrac{2x-4}{2}=6x+3\\\\\dfrac{2x}{2}-\dfrac{4}{2}=6x+3\\\\x-2=6x+3\ \ \ \ \ |\text{add 2 to both sides}\\\\x=6x+5\ \ \ \ |\text{subtract 6x from both sides}\\\\-5x=5\ \ \ \ \ |\text{divide both sides by -5}\\\\\boxed{x=-1}

6 0
4 years ago
A man has two more nickels than dimes. He has $1.15 in all. How many coins of each kind does he have?
zhannawk [14.2K]

Answer:

Man has 9 Nickels and 7 dimes.

Step-by-step explanation:

Let Number of dimes be x

and Number of Nickels be y

As Per given data he has two more nickels than dimes.

y= 2+x\\

As we know that

1\$ = 100 cent

1 nickel is worth = 5 cents = \frac{5}{100}= 0.05\$

1 dime is worth = 10 cents = \frac{10}{100} 0 .1\ $

According to given data he has \$\ 1.15 total nickel and dimes

So the equation becomes,

0.05y+0.1x=1.15

but y= 2+x

0.05(2+x)+0.1x=1.15\\0.1+0.05x+0.1x=1.15\\0.1+0.15x= 1.15\\0.15x= 1.15-0.1\\0.15x=1.05\\x=\frac{1.05}{0.15}= 7

Substituting value of x in equation y = 2+x we get

y= 2+7 =9

Man has 9 Nickels and 7 dimes.

5 0
4 years ago
If a = -9 and b = 4, what is the value of a + b ?<br> A. -5<br> B. 5 <br> C. -13 <br> D. 13
madreJ [45]

Answer:

A. -5

Step-by-step explanation:

-9 + 4 = -5

hope this helps

7 0
3 years ago
Solve the system of equations.
Slav-nsk [51]
13x - 6y = 2......multiply by 2
3x - 4y = -10....multiply by -3
------------------
26x - 12y = 4 (result of multiplying by 2)
-9x + 12y = 30 (result of multiplying by -3)
-----------------add
17x = 34
x = 34/17
x = 2

now sub 2 in for x into either of the original equations to find y
3x - 4y = -10
3(2) - 4y = -10
6 - 4y = -10
6 + 10 = 4y
16 = 4y
16/4 = y
4 = y

solution is (2,4)
8 0
3 years ago
lindsay bedford works at the baseball cap shop. she is paid $6.50 per hour plus $0.45 for each cap she embroiders. how many caps
crimeas [40]

15 caps are needed so that she can earn $85 in an 8hour day.

<h3>How is the direct equation calculated?</h3>

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables. In a coordinate plane, the direct variation graph is a straight line. A constant is the ratio of two quantities that vary directly. Relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.

For each hour she is compensated $6.50 with $0.45.

For an 8 hour day =6.50 *8 + 0.45x

Let x be the caps and earning is $85

6.50*8+0.45*x=85

=> 52+0.45x=85

=> 0.45x=33

=> x=15 (approx.)

To learn more about direct variation , click here:

brainly.com/question/14254277

#SPJ4

8 0
2 years ago
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