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Naddika [18.5K]
3 years ago
11

Guys Help!! I Don´t Know How To Do This!!

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Answer:

Frank

Step-by-step explanation:

First let's start by calculating the speed of each runner.

Let's use feet per second

Frank's speed is already given in feet per second: 14 feet/second

We are given that Jake runs 382 feet in 38 seconds. To bring this down to feet/second we need to divide both numbers by 38.

382/38=10.05 feet/second (about)

We are given that Will runs 1 mile in 394 seconds. 1 mile is equivalent to 5280 feet. Now we divide both numbers by 394 to bring it down to feet/second.

5280/394=13.401  feet/second (about)

We are given that Ron runs 555 feet in 1 minute. 1 minute is equivalent to 60 seconds. Now we divide both numbers by 60 to bring it down to feet/second.

555/60=9.25 feet/second

After comparing all the speeds, we can conclude that Frank runs the fastest

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Item 11
marysya [2.9K]

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

7 0
3 years ago
What's your answer????/????????/////??
Alja [10]

Answer:

Top right

Step-by-step explanation:

The two sides are parallel to each other. :)

8 0
3 years ago
Help. and please show workout so I can know how to understand it (and both questions)
Arlecino [84]
Just remove the parenthesis since you are adding them and combine like terms
x+5+2x+3
3x+8
8 0
3 years ago
2 × (2,230 + 829) Which of the following is true about the expression above? A. The given expression is 2 more than (2,230 + 829
goblinko [34]

Answer:

B - the expression given is 2 timex as large at (2,230 + 829)

Step-by-step explanation:

Multiply 2 by each set of numbers then add.

2X 2230 = 4460

2x829 = 1658

Add them together

4460+1658 = 6118

3 0
3 years ago
PLEASE HELP ME! g +16/4 - 16 Simplify the variable expression by evaluating its numerical part, and enter your answer below.
Jobisdone [24]
Apex? I just did got this question and I put
g - 4
and got it right ✌️
3 0
3 years ago
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