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3 years ago

Select from the drop-down menus to correctly complete each statement

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

Y axis for the first and what are the options for the second anwser

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Verify the following trig identities.

bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = $\frac{1}{sinx}$

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

-----------------------------------------------------------------

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0

3 years ago

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

pshichka [43]

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

$2x=6$

$x=\dfrac{6}{2}$

$x=3$

Now,

$BE=BD+DE$

$BE=6+x$

$BE=6+3$

$BE=9$

Therefore, the measure of side BE is 9 units.

6 0

3 years ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Natali5045456 [20]

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

7 0

3 years ago

What is the area of a semi circle that has a diameter of 1 1/2?

SVEN [57.7K]

Answer:

$A=0.8836$

Step-by-step explanation:

Area of circle:

$\pi r^2$

By using the area of a circle, we can get the area of a semicircle:

$\frac{\pi r^2}{2}$

Let's convert the mixed fraction to an improper fraction and then a decimal:

$1\frac{1}{2}$ = $\frac{3}{2}$ = $1.5$

Now, we solved for the diameter, to get the radius, we need to divide the diameter by 2:

$\frac{1.5}{2} =0.75$

Now we have the radius, so we can plug in our values and find the area:

$\frac{\pi0.75^2}{2} = 0.88357293$

$A=0.88357293$

5 0

3 years ago

Read 2 more answers

All of the names of the polygon are correct EXCEPT for:

fiasKO [112]

The correct answer would be c) GDFEABC

Please mark brainliest

8 0

3 years ago

Read 2 more answers