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Nikitich [7]
3 years ago
12

The first term of the sequence is -9 and the common ratio is -2

Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

2nd \: term =  - 9 + ( - 2) \\  =  - 11 \\ 3rd \: term =  - 11 +(  - 2) \\  =  - 13 \\ 4th \: term =  - 13 + ( - 2) \\  =  - 15 \\  \\ ..........

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Find AC <br> What Is The Equation To AC?
In-s [12.5K]

<u>Given</u>:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

<u>Length of AC:</u>

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Where the value of \theta is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

cos \ 65^{\circ}=\frac{AC}{AB}

Substituting AB = 7, we have;

cos \ 65^{\circ}=\frac{AC}{7}

Multiplying both sides by 7, we get;

cos \ 65^{\circ} \times 7=AC

  0.423 \times 7=AC

        2.961=AC

Rounding off to the nearest hundredth, we get;

2.96=AC

Thus, the length of AC is 2.96 units.

6 0
3 years ago
The perimeters of the square and the triangle shown below are equal. What is the value of x?
Rudiy27
Perimeter is the sum of all the sides. So we can set up an equation:

\sf 3x+1+3x+1+3x+1+3x+1=2x+8+x+8+4x+2

Now solve for 'x', combine like terms:

When it comes to terms with variables it's just like normal addition but we keep the variable:

\sf 3x+3x+3x+3x=12x
\sf 2x+x+4x=7x

So we have:

\sf 12x+1+1+1+1=7x+8+8+2

Add:

\sf 12x+4=7x+18

Subtract 7x to both sides:

\sf 5x+4=18

Subtract 4 to both sides:

\sf 5x=14

Divide 5 to both sides:

\boxed{\sf x=2.8}
8 0
3 years ago
Meg has a can that contains 80% orange juice and the rest water. The can has 1 liter of water.
serious [3.7K]

Answer:

1w+4o=5

Step-by-step explanation:

w=water o=orange juice there is 4 liters of orange juice

3 0
3 years ago
If ab= 7x-6 and bc= 12-2x. Then what does ac equal?
ra1l [238]
Ab = (7x-6) →   b = (7x-6)/a   (1)

bc = (12-2x) → b = (12-2x)/c   (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR  a/c = (7x-6)/(12-2x)  (3)

Multiply  both numerators of (3) by the SQUARE of their  respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x)  or ac = -14x² + 96x - 72


4 0
3 years ago
Need help please guys.
KengaRu [80]

Answer: x= 21.6

Step-by-step explanation:

12^2  + 18^2  =x^2

144 + 324 =x^2

468  = x^2

c=  21.633  

To the nearest tenth place  is c= 21.6

3 0
3 years ago
Read 2 more answers
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