Three planes intersect in<br> Select one:<br> O a. a plane<br> O b. a point<br> O c. a line segment

1.) Conrad earns a 7.5% commission on his sales of office supplies. Last month, he earned $836.50 in commissions. What were his

mylen [45]

Answer:

E.) None of these choices are correct.

Step-by-step explanation:

6 0

3 years ago

An answer would be nice

liberstina [14]

Answer:

1) 90

Step-by-step explanation:

157.50 / 7 = 22.50 or 270 / 12 = 22.50

22.50 * 4 = 90

5 0

3 years ago

Read 2 more answers

The fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds.

OLga [1]

Answer:

363 ft

Step-by-step explanation:

We can use a ratio to solve

330ft x ft

------------ = ---------------

10 seconds 11 seconds

Using cross products

330*11 = 10x

Divide by 10

330*11/10 = x

363 = x

3 0

2 years ago

Read 2 more answers

A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

8 0

3 years ago

A regular hexagon has a raduis of 20 inches. what is the approximate area of the hexagon?

lorasvet [3.4K]

600sqrt3 which equals 1039 inches

3 0

4 years ago

Three planes intersect in Select one: O a. a plane O b. a point O c. a line segment