The scale on a map is 1cm=20miles.if two airports are 4cm apart on the map, what's the distance between the airports?

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot...

scZoUnD [109]

Answer:

240.6 ft is your answer of your question.

8 0

3 years ago

Read 2 more answers

The difference between the areas of the figures is less than 4.

coldgirl [10]

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

3 0

4 years ago

It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in y hours. If machine A operates alone

nlexa [21]

Answer:

The expression that shows how long the two machines will operate simultaneously is:

$\frac{y(100x-z)}{x+y}$

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

$\frac{z}{x}$

So, the remaining decks are given by:

$100-\frac{z}{x}=\frac{100x-z}{x}$

Then, the combined rate of machines A and B would be:

$\frac{1}{x} +\frac{1}{y} =\frac{x+y}{xy}$

The work-rate formula is:

$Amount= Rate \times Time$

Hence, the time that the two machines work simultaneously is:

$Time=\frac{Amount}{Rate}$

$Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}$

3 0

4 years ago

Direction: Match the exponential notation in Column A to its

Korvikt [17]

Answer:

446565688987888888 ti ifyx

4 0

3 years ago

Please help me I don't understand. If you could also explain I'll give brainiest.

Xelga [282]

Answer:

use the formula for area of the trapezium

and apply the given values in the question.

and give the answer in centimetre square

7 0

3 years ago