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2 years ago

What is the solution set of {x | x < -3} ∩ {x | x > 5}

1 answer:

7 0

Any $x$ in this set will be real numbers that are both less than $-3$ and greater than $5$ . But that's not possible, so this set is empty.

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The area of the triangle is 24 square feet. what is the length of the base?

Lubov Fominskaja [6]

Answer:

16 feet

Step-by-step explanation:

Area of a Triangle: (Base*Height)/2.

Therefore, Base:(2A)/Height =(2*24)/2=16

8 0

1 year ago

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $30 p

Mkey [24]

First, you need to write to expressions to model each situation:

Plan A: 10+0.15x

Plan B: 30+0.1x

Next, set the expressions equal to each other and solve for x:

10+0.15x=30+0.1x

*Subtract 0.1x from both sides to isolate the variable*

10+0.05x=30

*Subtract 10 from both sides*

0.05x=20

*Divide both sides by 0.05*

x=400

The plans would have the same cost after 400 minutes of calls.

To find how much money the plans cost at 400 minutes, plug 400 into either expression. We'll use Plan A:

10+0.15(400)

10+60

The plans will cost $70.

Hope this helps!

3 0

2 years ago

Whats the answer to this? Please help.

BaLLatris [955]

Answer:

The answer is just 1 and 3.

Step-by-step explanation:

To understand this problem, you must think of what whole numbers actually are.

Whole numbers consist of Positive integers and Zero.

Positive integers include 1, 2, 3, 4, 5, 6, ... etc

Zero is 0

The reason $\frac{23}{5}$ isn't a whole number is because that fraction doesn't reduce any further and does not yield a whole number.

7 0

2 years ago

Graph the linear equation y=x-3

IrinaK [193]

Start with a dot on -3 of the y-axis, then use slope 1/1 to go up one and right one, do that until you reach 3 on the x-axis and make a dot, and then just draw a line through both dots.

7 0

2 years ago

Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2

qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

$cos \theta = \frac{h}{L}$

Substituting figures, we have:

$cos(23) = \frac{h}{4}$

Let's make h subject of the formula.

$h = 4cos(23) = 3.68$

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

3 0

2 years ago