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3 years ago

Missing side of the triangle 5 yds 4yds

Mathematics

1 answer:

Vitek1552 [10]3 years ago

4 0

Answer:

6.4yds if you are finding the hyp

Step-by-step explanation:

5^2+4^2=square root41

square root of 41 is 6.4

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If f(x)= x/2 -2 and g(x) = 2x2 +x-3, find (f +g)(x).

Molodets [167]

Answer:

Step-by-step explanation:

(f+g)(x) means add f(x) and g(x) together:

(x/2)-2 + 2x^2 +x -3

collect all the like terms:

2x^2

(x/2) + x = 3/2x (explanation below)

-2 -3 = -5

x/2 + x can be turned to 1x/2 + 2/2x (2/2 = 1, so when you simplify it to 1x, it is still x)

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3 years ago

The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum

vladimir2022 [97]

199 + 200 = 399
199 and 200 is the pair.

6 0

3 years ago

14.4 as an improper fraction

boyakko [2]

Answer:

72/5

Step-by-step explanation:

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4 years ago

A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is 60 miles.

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = u mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$

While moving against the current, speed = $(u-5)\ mph$

Formula for Distance = Speed $\times$ Time

Distance traveled in each case is same i.e. D.

So,

$D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph$

Now,

$D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}$

So, the distance between two cities is 60 miles.

6 0

3 years ago

Given lines are parallel, find the value of x. Then determine the measure of the angle.

Nadya [2.5K]

Answers:

x = 45
angle measure = 104 degrees

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Explanation:

These angles are on alternating sides of the transversal line, and they are exterior of the parallel lines. Therefore, these are alternate exterior angles.

Alternate exterior angles are congruent when we have parallel lines like this.

Set the two expressions equal to each other. Solve for x.

3x-31 = x+59

3x-x = 59+31

2x = 90

x = 90/2

x = 45

Then we can find that:

3x-31 = 3*45-31 = 135-31 = 104
x+59 = 45+59 = 104

Both alternate exterior angles are 104 degrees each, which confirms we have the correct x value.

7 0

3 years ago