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babymother [125]
2 years ago
13

45. Homer’s car has run out of gasoline. He walks 12 km west and then 5 km south looking for a gasoline station. If he is now h

km directly from his starting point, find the value of h.

Mathematics
2 answers:
yan [13]2 years ago
8 0

Answer:

13

Step-by-step explanation:

use pythagorean theorem

krok68 [10]2 years ago
6 0

Answer:

13

Step-by-step explanation:

we can use petagerom theorem  to find out the answer

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what is the area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry
Sophie [7]

Answer:153.9 cm

Step-by-step explanation:

The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9

5 0
3 years ago
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Find the domain of the graphed function?
MariettaO [177]

<span>Remember, the domain of a function is all of the x values in the (x,y) coordinates. For this, let’s take a few bench mark coordinates. (0,0) (1,2.5)(2,0) (3, -9). Those definitely aren’t all real numbers, so eliminate A. X is not only less than or equal to 0, so eliminate C. </span>

<span>It’s B.</span>

7 0
3 years ago
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In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1
iragen [17]

Answer:

6.36 years (the .36 repeats), so rounded is 6.4.

Step-by-step explanation:

First, I'm going to convert all measurements to meters.

Since 1000 mm = 1 m, divide 44 by 1000.

44/1000 = 0.044 m

Since 100 cm = 1 m, divide 72 by 100.

72/100 = 0.72 m

Next, I'm going to setup an equation using y = mx + b.

b is the beginning amount which is 0.72.

m in the equation represents the rate which is 0.044.

y represents the total which is 1.

Plugin the numbers and solve for x.

1 = 0.044x + 0.72

1 - 0.72 = 0.044x + 0.72 - 0.72

0.28 = 0.044x

0.28/0.044 = 0.044x/0.044

6.36 = x

7 0
1 year ago
The summit of a mountain pass is 8,050 ft above sea level. the valley below is 12 and 1/2 ft below sea level. what is the vertic
Veseljchak [2.6K]

Answer:

Vertical distance between the valley and the summit = 8062.5 ft

Step-by-step explanation:

Distances above the sea level are denoted by positive notations and below the sea level by negative notation.

Summit of a mountain pass = 8050 (above the sea level)

Valley below the sea level = 12 and half ft = (-12.5) ft

Distance between the summit and the valley = 8050 - (-12.5)

                                                                           = 8050 + 12.5

                                                                           = 8062.5 ft

Therefore, Vertical distance = 8062.5 ft will be the answer.

5 0
3 years ago
Consider the following expression: (1 + x)^n. A) Use the Binomial Theorem to find the first four terms of this polynomial. B) Wh
sergiy2304 [10]
Given:

The expression:  (1 + x)^n

The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one. 

The following formula is used:

(a + b)^n = nCk * a^(n-k) * b^k

we have (1 +x)^n,

where a = 1 
            b = x
let n = 4

First term, k = 1

4C1 = 4

first term: 4*(1^(4-1))*x^1

Therefore, the first term is 4x. Do the same for the next three terms. 

2nd term: k =2 
3rd term: k = 3
4th term: k = 4
<span />
3 0
2 years ago
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