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3 years ago

How do you find the diagonal distance when a girl hikes 3 miles north and 4 miles east?

2 answers:

5 0

Think of this as a triangle. The height is 3 miles and the side is 4. It's a 3,4,5 triangle. You are using the Pyhtagorean Theorem to find the hypotenuse, or the diagonal distance. 3 squared plus 4 squared equals the perfect square of the distance. So, 9 plus 16 equals 25. Square root that, and you get 5. So, the diagonal distance is 5 miles.

Rama09 [41]3 years ago

3 0

We can find the diagonal distance using the Pythagorean Theorem (PT). PT is a formula that calculates the diagonal distance (c) when it knows the value of north/south (a) and east/west (b).

PT is a²+b²=c², so we simply need to substitute 3 and 4 in for a and b, respectively.

a²+b²=c²
3²+4²=c²
9+16=c²
25=c²
$\sqrt{25}= \sqrt{c^{2}}$
5=c

Using the math above, we can see the diagonal distance from her starting point is 5 miles.

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Natasha is making fudge. The recipe calls for 2 pounds of chocolate. Natasha uses a digital scale to weigh the chocolate she has

SpyIntel [72]

Answer:

Yes

Step-by-step explanation:

Th .06 lbs of chocolate will not affect the recipe because .06 is only 3% off.

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4 years ago

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Sonbull [250]

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4 years ago

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8

RSB [31]

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

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3 years ago

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the

alukav5142 [94]

Answer:

See Explanation

Step-by-step explanation:

Given

$Initial = 8$

$Increment = 3$ (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

$y = Initial\ Figurines + Increment * x$

This gives:

$y = 8 + 3 * x$

$y = 8 + 3x$

Reorder

$y = 3x + 8$

A linear equation is of the form

$y = mx + b$

By comparison,

$y = mx + b$ is equivalent to $y = 3x + 8$

<em>Hence, we can conclude that the situation is linear</em>

8 0

3 years ago

Read 2 more answers

Please help me , I need it

alexgriva [62]

Answer:

A would be 150 times.

Step-by-step explanation:

I can't see the options for Part B so i cant help with that sorry. I think A would be 150 times though because with numbers 1-10, half of them are even and half of them are odd and half of 300 is 150.

7 0

2 years ago