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3 years ago

Find the compliment of an angle whose supplement is 115 degrees.

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Answer:

25°

Step-by-step explanation:

A supplementary angle refers to two angles that measure up to 180° degrees when added together.

Let x = one of the angles

Let y = 115°

$x + y = 180^{\circ}$

$x = 180 - y$

$x = 180 - 115$

x = 65°

To find the complementary angle;

A complementary angle refers to two angles that measure up to 90° degrees when added together.

Let a = one of the angles.

Let b = 65°

$a + b = 90^{\circ}$

$a = 90 - b$

$a = 90 - 65$

a = 25°

Therefore, the complement of an angle whose supplement is 115 degrees is 25 degrees.

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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Dovator [93]

Keywords

quadratic equation, discriminant, complex roots, real roots

we know that

The formula to calculate the roots of the quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}$

where

The discriminant of the quadratic equation is equal to

$b^{2}-4ac$

if $(b^{2}-4ac)> 0$ ----> the quadratic equation has two real roots

if $(b^{2}-4ac)=0$ ----> the quadratic equation has one real root

if $(b^{2}-4ac)< 0$ ----> the quadratic equation has two complex roots

in this problem we have that

the discriminant is equal to $-8$

the quadratic equation has two complex roots

therefore

the answer is the option A

There are two complex roots

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3 years ago

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zheka24 [161]

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3 years ago

If M is the midpoint of AB, find the coordinate of point B if the coordinate of point A are (7,10) and the midpoint, M is(6,1)

xeze [42]

Answer:

(5, - 18)

Step-by-step explanation:

IN MIDPOINT, WE SUM BOTH X VALUES AND Y VALUES AND DIVIDE BY TWO.

(x+7)/2=6. (y+20)/2=1

X+7=12. Y+20=2

X=12-7. Y=2-20

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8 0

3 years ago

The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel

Vilka [71]

Answer:

Constant of proportionality: $k=3$

Equation: $c=3d$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

$c=kd$

Then, the first step is to find the Constant of proportionality "k".

Knowing that:

$c=24;d=8$

We can substitute values into the equation:

$24=k(8)$

Now, solving for "k", we get:

$\frac{24}{8}=k\\\\k=3$

Therefore, we can write the following equation that represents that proportional relationship:

$c=3d$

6 0

3 years ago

Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi

Lilit [14]

ANSWER

• Circumference: 18.84 ft

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

$C=2\pi r$

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

$C=2\cdot3.14\cdot3ft=18.84ft$

Hence, the circumference of this circle is 18.84 feet.

The area of a circle of radius r is,

$A=\pi r^2$

In this case, r = 3 ft and π = 3.14,

$A=3.14\cdot3^2ft^2=28.26ft^2$

Hence, the area of this circle is 28.26 square feet.

6 0

1 year ago