The curve through the ordered pairs (0, 10), (1,5), and (2,2.5) can be represented by the function f(x) = 10(0.5). What is

Mathematics

1 answer:

Leto [7]2 years ago

8 0

Answer:

Step-by-step explanation:

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A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim

RSB [31]

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: $Perimeter=2(length+width)$

Putting values and making equation:

$244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16$

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

4 0

2 years ago

A person in a balloon which is 2,000 feet above the airport finds that the angle of depression to a ship out at sea is 21°. Find

maria [59]

The horizontal distance is given by the formula:
tan θ=opposite/adjacent
where:
θ=21
opposite=2000 ft
adjacent=a
thus calculating for a we get:
tan 21=2000/a
thus
a=2000/tan 21
a=5210.18 ft

Answer: 5210.18 ft

4 0

2 years ago

Read 2 more answers

Marcia biked 600 meters on friday. On saturday, she biked 3 kilometers. One sunday she biked 2 kilometers and 700 meters. How ma

zepelin [54]

Answer:

6.3 km.

Step-by-step explanation:

The question asks for kilometers, so all amounts have to be calculated in the same units -- kilometers.

Convert meters to kilometers.

600 m = .6 km

700 m = .7 km.