Simplify the expression.

You make $11.29 per hour and worked 26 hours last week. They took out 5.2% for

sashaice [31]

Your answer would be 56

5 0

2 years ago

Alaska has 1,700,000 square kilometers. Flordia has a landarea one tenth the size of Alaska. What is the landarea of Florid

Scrat [10]

The land area of Florida is 170 000 square kilometres, this is because 1 700 000 divided by 10 is 170 000.

8 0

4 years ago

I need the whole solution

ddd [48]

Confused what the question is. Are you looking for the product or the zeroes?

If you are looking for the product, then:

Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)

= sec² + sec²csc² - 1 + csc²

= sec²csc² + sec² + csc² - 1

= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)

= sec²csc²

Answer: sec²csc²

***************************************************

If you are looking for the zeroes, then:

Using the zero product property, set each factor equal to zero and solve.

First factor:

sec²Θ - 1 = 0

sec²Θ = 1

secΘ = 1, -1

remember that secΘ is $\frac{1}{cos}$

$\frac{1}{cos}$ = 1 $\frac{1}{cos}$ = -1

cross multiply to get:

cosΘ = 1 cosΘ = -1

use the unit circle (or a calculator) to find that Θ = 0 and π

Second factor:

1 - csc²Θ = 0

1 = csc²Θ

1, -1 = cscΘ

remember that cscΘ is $\frac{1}{sin}$

$\frac{1}{sin}$ = 1 $\frac{1}{sin}$ = -1

cross multiply to get:

sinΘ = 1 sinΘ = -1

use the unit circle (or a calculator) to find that Θ = $\frac{\pi}{2}$ and $\frac{3\pi}{2}$

Answer: 0, π, $\frac{\pi}{2}$ , $\frac{3\pi}{2}$

7 0

4 years ago

Bob drove at an average speed of 15km/h correct to the nearest unit. He drove for 3 hours, correct to the nearest hour. What is

Mazyrski [523]

Answer:

45km

Step-by-step explanation:

Given data

Average Speed= 15km/h

Time = 3 hours

Required

The distance traveled

Speed= distance/time

Distance= speed*time

Distance= 15*3

Distance= 45km

Hence the lower bound of the distance is 45km

5 0

3 years ago

Which statements are always true regarding the diagram? Check all that apply. m∠3 + m∠4 = 180° m∠2 + m∠4 + m∠6 = 180° m∠2 + m∠4

Nostrana [21]

Answer:

The true statements are:

m∠ 3 + m∠ 4 = 180° ⇒ 1st

m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ 2nd

m∠ 2 + m∠ 4 = m∠ 5 ⇒ 3rd

Step-by-step explanation:

* Look to the attached diagram to answer the question

# m∠ 3 + m∠ 4 = 180°

∵ ∠ 3 and ∠ 4 formed a straight angle

∵ The measure of the straight angle is 180°

∴ m∠ 3 + m∠ 4 = 180° ⇒ true

# m∠ 2 + m∠ 4 + m∠ 6 = 180°

∵ ∠ 2 , ∠ 4 , ∠ 6 are the interior angles of the triangle

∵ The sum of the measures of interior angles of any Δ is 180°

∴ m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ true

# m∠ 2 + m∠ 4 = m∠ 5

∵ In any Δ, the measure of the exterior angle at one vertex of the

triangle equals the sum of the measures of the opposite interior

angles of this vertex

∵ ∠ 5 is the exterior angle of the vertex of ∠ 6

∵ ∠2 and ∠ 4 are the opposite interior angles to ∠ 6

∴ m∠ 2 + m∠ 4 = m∠ 5 ⇒ true

# m∠1 + m∠2 = 90°

∵ ∠ 1 and ∠ 2 formed a straight angle

∵ The measure of the straight angle is 180°

∴ m∠1 + m∠2 = 90° ⇒ Not true

# m∠4 + m∠6 = m∠2

∵ ∠ 4 , ∠ 6 , ∠ 2 are the interior angles of a triangle

∵ There is no given about their measures

∴ We can not says that the sum of the measures of ∠ 4 and ∠ 6 is

equal to the measure of ∠ 2

∴ m∠4 + m∠6 = m∠2 ⇒ Not true

# m∠2 + m∠6 = m∠5

∵ ∠ 5 is the exterior angle at the vertex of ∠ 6

∴ m∠ 2 + m∠ 6 = m∠ 5 ⇒ Not true

6 0

3 years ago

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