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GenaCL600 [577]
3 years ago
7

a family biys airline tickets online. each ticket costs $167. the family buys travel insurance with each ticket that costs $19 p

er ticket. the web site charges a fee of $16 for the entire purchase. the family is charged a total of $1132. how many tickets did the family buy?
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
167 + 19 = 186x

186x + 16 = 1132

subtract 16 from both sides

186x = 1116

divide by 186 on both sides

x = 6

they bought 6 tickets total
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hram777 [196]

The side of the edge of the cube is 9. 9cm

<h3>How to determine the length</h3>

Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm

To find the edge of the face, we know that the face of the cube is a square

Formula for diagonal of a square = \sqrt{2a}

Where is the side of the square

We then have,

\sqrt{2a}  = 14

Make 'a' the subject

a = \frac{14}{\sqrt{2} }

Simplify the surd

a = \frac{14}{\sqrt{2} } × \frac{14}{\sqrt{2} }

a = \frac{14\sqrt{2} }{2}

a = 7\sqrt{2}

a = 9. 9cm

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Learn more about a cube here:

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2 years ago
Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper F c
inn [45]

Answer:

CORRECTED QUESTION:

Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper N, and the latitude of the second city is 36 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.

ANSWER: 1452.11 km

Step-by-step explanation:

Since the two cities both lies on the Northern latitude of the sphere along  the same longitude, we are going to subtract the angles the latitude that each city subtend at the equator.

36 - 23 = 13 degrees   i.e the angles between the with two cities on a cross section the large circle formed by the longitude and its center.

Applying   the formula for the length of an arc on a sector on the large circle  

(∅/ 360) x 2πR

where, ∅ = is the angle between the two cities

R = radius of the Earth.

13/360 x 2 x π x 6400 = 1452.11 km

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3 years ago
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