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2 years ago

If angle ABC equals 130, what would the vertical angle equal to?

Mathematics

1 answer:

Mariulka [41]2 years ago

7 0

Answer:

400

Step-by-step explanation:

400

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Mr.Ramirez teaches dance. He has 16 sixth-grade students and 24 seventh-grade students. He wants to put the students in equal gr

Dahasolnce [82]

Mr. Ramirez can use many different group sizes, but the largest group size possible is 8. This results in 16/8=2 sixth-grade groups and 24/8=3 seventh-grade groups.

6 0

2 years ago

The area of a circle is 2464cm2.calculate it's diameter to 2 significant figures

tigry1 [53]

Answer:

Step-by-step explanation:

Answer:

The diameter of the circle is 56 cm.

Step-by-step explanation:

Given : The area of the circle is 2464 cm square.

To find : The diameter of the circle?

Solution :

The area of the circle is defined as

Where, A=2464 cm² is the area,

r is the radius

Substituting the values,

Radius of the circle is 28 cm.

The diameter of the circle is

Therefore, The diameter of the circle is 56 cm.

3 0

2 years ago

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

Given:

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

Use the Power Rule Law:

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

Simplify:

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

2 years ago

What is the solution to the inequality? −6x+5>−1

Bogdan [553]

Answer:

$\boxed{x$

Step-by-step explanation:

$-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x$

3 0

3 years ago

Calculate the discriminant and use it to determine how many real-number roots the equation has.

Vladimir79 [104]

In a quadratic equation with the general formula of:

ax^2 + bx + c = 0

The discriminant is equal to b^2 - 4(a)(c). If the answer is a perfect square, then there are two real numbers. If not, then there are no real number root.

The discriminant for this equation is

(-6)^2 - 4(3)(1) = 24

Since 24 is not a perfect square, there are no real number roots.

4 0

2 years ago