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2 years ago

12

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

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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Solving Inequalities

Elden [556K]

????????

Step-by-step explanation:

5 0

4 years ago

Right △ABC has its right angle at C, BC=4 , and AC=8 .

PolarNik [594]

Answer:

Part A) $sin(A)=\frac{\sqrt{5}}{5}$

Part B) $tan(B)=2$

Part C) $sec(A)=\frac{\sqrt{5}}{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side AB (hypotenuse of the right triangle)

Applying the Pythagorean Theorem

$AB^2=BC^2+AC^2$

substitute the given values

$AB^2=4^2+8^2$

$AB^2=80$

$AB=\sqrt{80}\ units$

simplify

$AB=4\sqrt{5}\ units$

step 2

Find sin(A)

we know that

In the right triangle ABC

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(A)=\frac{4}{4\sqrt{5}}=\frac{\sqrt{5}}{5}$

step 3

Find tan(B)

we know that

$tan(B)=\frac{AC}{BC}$ ----> by TOA (opposite side divided by adjacent side)

substitute the values

$tan(B)=\frac{8}{4}=2$

step 4

Find sec(A)

we know that

$sec(A)=\frac{1}{cos(A)}$

$cos(A)=\frac{AC}{AB}$ ----> by CAH

so

$sec(A)=\frac{AB}{AC}$

substitute the values

$sec(A)=\frac{4\sqrt{5}}{8}$

simplify

$sec(A)=\frac{\sqrt{5}}{2}$

3 0

4 years ago

Multiply and find product in its lowest terms.

soldi70 [24.7K]

Answer:

1/30

Step-by-step explanation:

$\frac{4}{9} \times \frac{3}{5} \times \frac{1}{8} \\ \\ =\frac{4 \times 3 \times 1}{9 \times 5 \times 8} \\ \\ =\frac{1}{3 \times 5 \times 2} \\ \\ =\frac{1}{30}$

7 0

2 years ago

PLEASE HELP BRAINLY - which option is correct?

LuckyWell [14K]

Answer:

$y > \frac{2x}{3} + 1$

Step-by-step explanation:

Given:

The graph in the attachment where the coordinates are (3,3) and (-3,-1)

Required:

Which inequality represent the graph

The first step is to determine the slope of the graph

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where m represents the slope, $(x_1, y_1) = (3,3)$ and $(x_2, y_2) = (-3,-1)$

$m = \frac{-1 - 3}{-3 - 3}$

$m = \frac{-4}{-6}$

Simplify to lowest term

$m = \frac{2}{3}$

Next is to determine the equation of the line using the slope formula

$m = \frac{y - y_1}{x - x_1}$ , $(x_1, y_1) = (3,3)$ and $m = \frac{2}{3}$

$\frac{2}{3} = \frac{y - 3}{x - 3}$

Cross multiply

$2 * (x - 3) = 3 * (y - 3)$

Open both brackets

$2 x - 6 = 3y -9$

Collect like terms

$2 x - 6 +9= 3y$

$2 x+3= 3y$

Divide through by 3

$\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}$

$\frac{2x}{3} + 1 = y$

Reorder

$y = \frac{2x}{3} + 1$

Next is to determine the inequality sign

The dotted lines on the graph shows that the inequality sign is either > or <
Since the shaded region is the upper part of the graph, then the > inequality sign will be considered,

The inequality becomes

$y > \frac{2x}{3} + 1$

7 0

3 years ago

Which inequality is represented by the graph?

Flura [38]

Answer:

The first answer is : y > 2x + (3/4)

The second answer is : (2, 5)

6 0

3 years ago

Read 2 more answers