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slava [35]
2 years ago
14

Please help

Mathematics
1 answer:
koban [17]2 years ago
5 0

Step-by-step explanation:

240.70×4=962.8 (for return)

569×4=2240 (hotel cost)

28×4=112 (return airport)

962.8+2240+112=3,314.8

it will cost $3,314.8 for a family of 4.

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Determine the dimensions of the screen of a 42-inch TV with a 4:3 aspect ratio.
Nitella [24]

For this case, the first thing you should do is know that the measurement of a television is given by the diagonal of the television.

Therefore, to find the value of x, we use the Pythagorean theorem.

We have then:

(3x)^2+(4x)^2=42^2

Rewriting we have:

25x ^ 2 = 1764\\x = \sqrt {\frac {1764} {25}}\\x = \sqrt {70.59}\\x = 8.4

Then the dimensions are given by:

4x = (4 * 8.4) = 33.6\\3x = (3 * 8.4) = 25.2

Answer:

the dimensions of the screen are: 33.6* 25.2

5 0
3 years ago
Read 2 more answers
Verify a ÷ b ≠ b ÷ a , if a = −3/4 and b = 4/5
Shalnov [3]

Given:

a=-\dfrac{3}{4}

b=\dfrac{4}{5}

To verify:

a\div b\neq b\div a

Solution:

We have,

a=-\dfrac{3}{4}

b=\dfrac{4}{5}

Now,

a\div b=\dfrac{a}{b}

a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}

a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}

a\div b=-\dfrac{15}{16}               ...(i)

And,

b\div a=\dfrac{b}{a}

b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}

b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})

b\div a=-\dfrac{16}{15}               ...(ii)

From (i) and (ii), it is clear that

a\div b\neq b\div a

Hence verified.

5 0
2 years ago
A ball is thrown from a height of 105 feet with an initial downward velocity of 9 ft/s. The ball's height h (in feet) after t se
zloy xaker [14]

Answer:

t = 2.28 s

Step-by-step explanation:

h = 105 - 9t - 16t ^ 2

0 ft = 105 ft - 9t -16^t

To find the roots of a quadratic function we have to use the Bhaskara formula , the roots will give us the time it takes to reach zero height

ax^2 + bx + c  = 0

-16^t - 9t + 105 ft = 0 ft

a = -16    b = -9    c = 105

t1 = (-b + √ b^2 - 4ac)/2a

t2 =(-b - √ b^2 - 4ac)/2a

t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)

t1 = (9 + √(-81 + 6720))/ -32

t1 = (9 + √6639)/ -32

t1 = (9 + 81.84)/ -32

t1 = 90.84 / -32

t1 = -2.83 s

t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)

t2 = (9 - √(-81 + 6720))/ -32

t2 = (9 - √6639)/ -32

t2 = (9 - 81.84)/ -32

t2 = -72.84 / -32

t2 = 2.28 s

we have two possible values, we are only going to take the positive one, beacause we are talking about time

t2 = 2.28 s

3 0
3 years ago
Find the product.
valkas [14]
(3n-10p)^2
=(3n-10p)(3n-10p)
=9n^2-10p-10p+100p^2
=9n^2-20p+100p^2
7 0
3 years ago
Need help solving for X
artcher [175]
X+10=110-4x

-x from both sides

10=110-5x

subtract 110 from both sides

-100=-5x

divide both sides by -5

x= 20
6 0
3 years ago
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