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vivado [14]
2 years ago
7

A submarine is 730 m below sea level. An airplane that is directly over the submarine is 9,144 m above sea level. What is the ve

rtical distance between the submarine and the airplane?
Mathematics
2 answers:
Dahasolnce [82]2 years ago
5 0

Answer:

9,874 meters.

Step-by-step explanation:

We have been given that a submarine is 730 m below sea level. This means that altitude of the submarine would be -730\text{ m}.

We are also told that an airplane that is directly over the submarine is 9,144 m above sea level. The altitude of the airplane would be 9,144\text{ m}.

To find the vertical distance between the submarine and the airplane, we will subtract elevation of submarine from elevation of airplane as:

\text{The vertical distance between the submarine and the airplane}=9,144\text{ m}-(-730\text{ m})

\text{The vertical distance between the submarine and the airplane}=9,144\text{ m}+730\text{ m}

\text{The vertical distance between the submarine and the airplane}=9,874\text{ m}

Therefore, the vertical distance between the submarine and the airplane would be 9,874 meters.

Rina8888 [55]2 years ago
4 0
Submarine: -730
Airplane: 9,144
|-730-9,144|=|-9,874|=9,874
|d|: absolute value
The vertical distance between the submarine and airplane is 9,874 meters.
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A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

                                             x / 31.5 = 8 / 14

Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

                                            x = 18.2 ft              

4 0
2 years ago
b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.
Ainat [17]

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

<u>Step-by-step explanation:</u>

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ 2x

The third box contained two more pounds than the first box i.e.

⇒ x+2

The last box contained one-fourth the amount in the second box i.e.

⇒ (\frac{1}{4})2x = \frac{x}{4}

Therefore , Sum of pounds of candy are :

⇒ \frac{x}{2} +x+2+2x+x=65

⇒ \frac{x}{2} +4x=63

⇒ \frac{9x}{2}=63

⇒ x=63(\frac{2}{9} )

⇒ x=14

Therefore , Candy in each box is :

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

8 0
2 years ago
Given ​ f(x)=x^2+12x+26 ​.
lapo4ka [179]

f(x)=x^2+12x+26

Vertex form of f(x) = a(x-h)^2 +k

We change f(x) into vertex form using completing the square method

f(x)=x^2+12x+26

We take half of square of middle term

middle term is 12

Half of square of 12 is \frac{12}{2}=6 then 6^2 = 36

Add and subtract 36 to complete the square

f(x)=(x^2+12x+36)+26-36

f(x)= (x+6)^2 +26 - 36 f(x)= (x+6)^2 -10

The vertex form f(x)= (x+6)^2 -10

6 0
1 year ago
Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order b
Firdavs [7]

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) =  P(A) × P(B)

=  0.5 × .7

=  0.35

P(A∪B) =  P(A) + P(B) - P(A∩B)

=  0.5 + .7 - 0.35

=  0.85

P(AΔB) =  P(A) + P(B) - 2P(A∩B)

=  0.5 + .7 - 2×0.35

=  0.5

P(A') =  1 - P(A)

=  1 - 0.5

=  0.5

P(B') =  1 - P(B)

=  1 - .7

=  0.3

P((A∪B)') =  1 - P(A∪B)

=  1 - 0.85

=  0.15

7 0
1 year ago
Washington is 44 miles south of Lawrence. and midland is 63 miles east of Lawrence. how far apart are Washington and midland?
gregori [183]
The answer is 21 miles
3 0
2 years ago
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