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2 years ago

Which of the following is an example of a method that can be used to model 45%? Select all that apply.

Mathematics

1 answer:

Yuki888 [10]2 years ago

8 0

Answer:

Step-by-step explanation:

Since there are 100 squares and you shaded 45 that is 45/100 which is equal to 45%

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Find all solutions to the equation. <br> cos^2 x +2cosx+1=0

Schach [20]

$x= \pi$

Step-by-step explanation:

$\cos^2x+\cos x+1=0$

Let $u= \cos x$

Then $u^2+2u+1=(u+1)^2=0$

$\cos x = -1$

This gives us $x= \pi$ or all integer multiples of $\pi (n \pi)$

4 0

2 years ago

Question and choices are in the photo please explain the answer

Natasha_Volkova [10]

Answer:

$\text{A) }68\:\mathrm{cm}$

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a $90^{\circ}$ , creating right triangles $\triangle TOP$ and $\triangle SOP$ .

The Pythagorean Theorem states that the following is true for any right triangle:

$a^2+b^2=c^2$ , where $c$ is the hypotenuse, or the longest side, of the triangle

Thus, we have:

$10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24$

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

$TP=SP=24$
$TO=SO=10$

Thus, the perimeter of the quadrilateral PTOS is equal to $24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}$

7 0

3 years ago

Read 2 more answers

Find the surface area of the triangular prism please.

Kobotan [32]

Surface area = area of 3 rectangles + 2 triangles

= 3*(3*7) + 2 * ( 1/2 * 3 * 2.6)

= 63 + 2* 3.9

= 70.8 in^2

3 0

3 years ago

PLEASE ANSWER QUICK

Kazeer [188]

Step-by-step explanation:

1. 3x + 4 = 19

3x = 15

x = 5

2. 7 + 2x = 15

2x = 8

x = 4

3 0

3 years ago

Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.

Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

$\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}$

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

$\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}$

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

$\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}$

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

$\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

$\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

3 0

3 years ago