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AVprozaik [17]
2 years ago
12

A stalrcase handrall Is made from congruent parallelograms. In PORS, PO = 175, ST = 18, and m2

Mathematics
1 answer:
melisa1 [442]2 years ago
5 0

Answer:

<SPQ = 110°

Step-by-step explanation:

<QRS = 110°

<SPQ = <QRS ( BEING OPPOSITE ANGLES OF PARALLELOGRAM)

<SPQ = 110°

PLEASE MARK ME THE BRAINLLEST

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Please help me with this i will mark brainliest<br><br><br><br><br>QUICK!!!!!!
Yanka [14]

Answer:

w - 3.3 + -3.3 = 5.6 - 3.3

w = 2.3

3 0
3 years ago
Find all solutions of each equation on the interval 0 ≤ x &lt; 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
2 years ago
Read 2 more answers
The dimensions of the nations smallest post office are 8 feet 4 inches by 7 feet 3 inches why would you use the measurement 8 fe
viva [34]

Answer:

Because 16 inches is one foot and 4 inches, as there are 12 inches in a foot. So this one foot is added to the 7 inches. Or otherwise we can say: a hundred inches (100 in).

Step-by-step explanation:

If we tell the length in feet, only the rest of the integer number of feet is expressed in inches.

4 0
3 years ago
PLZ!!!
Len [333]

Answer:

16

Step-by-step explanation:

count each dot

5 0
2 years ago
Read 2 more answers
Natalie has a 15-pound yellow dumbbell. It is 3 times at heavy as the red dumbbell she has. How many pounds is the red dumbbell?
V125BC [204]
5 pounds is the red dumbbell
7 0
3 years ago
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