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notsponge [240]
3 years ago
6

Can you please help me i’ll give extra points

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)

x = 22/sin(67°) = 23.9

Use pythagorean theorem to find the last side.

a^2 + 22^2 = 23.9^2

a^2 + 484 = 571.21. Subtract each side by 484

a^2= 87.21. Take the square root of each side.

a = 9.3

x = 23.9 and the other side is 9.3

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Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
If the radius is 18 cm and the angle at centre of circle is 120° then the
PolarNik [594]

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }

Given that;

  • Radius r = 18 cm
  • Angle θ =  120°

Then. the area of the sector can be calculated as:

\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }

\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }

A = 339.336 cm²

Learn more about the area of a sector here:

brainly.com/question/7512468?referrer=searchResults

4 0
2 years ago
Select the locations on the number line to plot the points 2, 1, and −4 .
rodikova [14]

Answer:

-5-4-3-2-1 0 1 2 3 4 5

Step-by-step explanation:

5 0
3 years ago
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Jane's Ice Cream Shoppe has 33 ice cream flavors, 5 syrups, and 11 toppings. How many different ways can you construct a sundae
matrenka [14]

Answer:

18 combinations

Step-by-step explanation:

thank u

3 0
2 years ago
How many solutions does the equation −2y + 2y + 3 = 3 have? One Zero Infinitely many Three
AnnZ [28]

Answer:

Infinitely many solutions.

Step-by-step explanation:

In the equation −2y + 2y + 3 = 3  we see only one variable, and that variable is of the first power.  Ordinarily, we'd say that this equation will have 1 solution.  However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values.  Infinitely many solutions.

3 0
3 years ago
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