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3 years ago

To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many

Mathematics

1 answer:

ANEK [815]3 years ago

5 0

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

You might be interested in

Use the following ordered pairs

Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

$(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})$

Putting the values

$=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)$

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

3 0

4 years ago

The drawing shows a stack of alternating cups. The cups are 9.2 cm high. How many cups will fit in a door that is 211.77 cm high

KIM [24]

Answer:

The total number of whole cups that we can fit in the dispenser is 25

Step-by-step explanation:

It is given that the height of each cup is 20 cm.

But when we stack them one on top of the other, they only add a height of 0.8 to the stack.

The stack of cups has to be put in a dispenser of height 30 cm.

So we need o find out how many cups can fit in the dispenser.

Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser

So,

30 - 20 = 10 cm

To stack the other cups we have 10 cm of height remaining

As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.

10 + 0.8x = 30

0.8x = 20

x = 25

The total number of cups that we can fit in dispenser is 25

7 0

3 years ago

The graph of the parent function f(x) = x is transformed such that g(x) = f(-2x). How does the graph of g(x) compare to the

Verdich [7]

Answer:

reflected across the y-axis
compressed by a factor of 2

Step-by-step explanation:

Replacing x by -x in f(x) causes it to be reversed horizontally, that is, reflected across the y-axis.

Replacing x by 2x in f(x) causes it to be compressed horizontally by a factor of 2.

Both of these transformations result in g(x) being a horizontally compressed horizontal reflection of f(x).

See the attachment for an example. The blue curve is g(x); the red curve is f(x).

3 0

3 years ago

Find the 12th number in the sequence below<br> 1/2, 1/10, 1/18, ...

Sergio [31]

Answer:

1/90.

Step-by-step explanation:

the pattern goes up by eight.

it would continue like so:

1/2, 1/10, 1/18, 1/26, 1/34, 1/42, 1/50, 1/58, 1/66, 1/74, 1/82, 1/90.

1/90 would be the 12th number in the sequence.

7 0

3 years ago

Rectangle QRST with vertices Q(-3,2), R(-1,4), S(2,1), and T(0,-1)) in the x-axis

charle [14.2K]

Answer:

Step-by-step explanation:

6 0

3 years ago