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4 years ago

9

A falcon flew 70 miles in 3 hours. What was the speed of the falcon? speed = distance over time ; 1 mile = 1609 meters the answe

r is not 23.3

1 answer:

kakasveta [241]4 years ago

5 0

Answer:10.4

Step-by-step explanation:

There are a lot of information's that are already given in the question. Based on these information's the answer can be deduced.

1 mile = 1609 meters

Then

70 miles = 1609 * 70 meters

= 112630 meters

again

1 hour = 3600 seconds

3 hours = 3600 * 3 seconds

= 10800 seconds

So

Speed = 112630/10800 meters/second

= 10.4 meters per second.

So the falcon was flying at a speed of 10.4 meters per second.

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

A $250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened by a customer. a. The s

iris [78.8K]

Answer:

a. Sale Price $=\$168.75$

b. Total percent discount $=32.5\%$

Step-by-step explanation:

First Discount:

Initial Price $=\$250$

Discount $=25\%$

$25\%\ of\ 250=\frac{25}{100}\times 250=62.5\\\\Now\ Price=250-62.5=$187.5$

Second Discount:

$Price=187.5\\\\Discount=10\%\\\\10\%\ of\ 187.5=\frac{10}{100}\times 187.5=18.75\\\\Now\ Sale\ Price=187.5-18.75=\$168.75$

Effective Discount:

Initial Price $=\$250$

Final Price $=\$168.75$

Total discount $=250-168.75=81.25$

$\%\ discount=\frac{81.25}{250}\times 100=32.5\%$

3 0

4 years ago

Compare the line passing through the points (–2, –9) and (4, 6) to the line given by the equation y = 25x – 4.

elena-s [515]

Answer:

D. They have the same y-intercep

Step-by-step explanation:

Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .

(–2, –9) and (4, 6)

Gradient= (6--9)/(4--2)

Gradient= (6+9)/(4+2)

Gradient= 15/6

Gradient= 5/2

Choosing (–2, –9)

The equation of the line

(Y+9)= 5/2(x+2)

2(y+9)= 5(x+2)

2y +18 = 5x +10

2y =5x -8

Y= 5/2x -4

Choosing (4, 6)

The equation of line

(Y-6)= 5/2(x-4)

2(y-6) = 5(x-4)

2y -12 = 5x -20

2y = 5x-8

Y= 5/2x -4

From the above solution it's clear that the only thing the both equation have in common to the given equation is -4 which is the y intercept

4 0

3 years ago

Help mewa plzzzzzzzz

Sophie [7]

Answer:

It has the same shape and angels as a trapezoid therefor it is a trapezoid

Step-by-step explanation: If u dont believe me, look for a pic of a trapezoid on google

8 0

3 years ago

Read 2 more answers

It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equatio

Andru [333]

You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression

<h3>What is an extraneous solution?</h3>

An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.

You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).

Learn more about extraneous solution: brainly.com/question/14054707

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7 0

2 years ago