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Mamont248 [21]
3 years ago
11

Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa

r is Harper from home, if the map shows the distance as 3 inches? Enter your answer in the box. yards
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

4.4 yd

Step-by-step explanation:

Scale = 50 yd:34 in

Distance from home = 3 × 50/34

Distance from home = 4.4 yd


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Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

===============================================

Problem 2

<h3>Answer: True</h3>

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
A jet is coming in for a landing. It's currently 25,000 feet in
Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

tanx = \frac{opposite side}{adjacent side}.

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

tan x = \frac{25,000}{45,000} = 0.5555.

So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0
3 years ago
What is 1 4/9 multiplied by 2
AnnZ [28]

Answer:

2 8/9

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
A boat is 170 inches long. A truck is 80% longer than the truck.How long is the truck?
Julli [10]

Answer:

306 inches

Step-by-step explanation:

80% = 0.8

170 inches × 80% = 170 × 0.8 = 136

The truck is 80% longer than the boat. 80% of the boat is 136.

So, the boat is 170 inches + 136 inches = 306 inches.

3 0
2 years ago
Read 2 more answers
What is 53.435 to the nearest whole number?
Leni [432]
53

when the first decimal number is 4 or below, then you leave the whole number as it is, and get rid of the decimals.
6 0
3 years ago
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