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2 years ago

Diane is riding her bicycle. She rides 19.2 kilometers in 3 hours. What is her speed?

Mathematics

1 answer:

Sedbober [7]2 years ago

3 0

To find speed, divide total distance by total time:

Speed = 19.2 / 3 = 6.4 kilometers per hour

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Step-by-step explanation:

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- In the following diagram of triangle QRS, QR = 8 and QS = 17. Determine the value of sin Q. Show how you

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Answer:

$SinQ=\frac{15}{17}$

Step-by-step explanation:

We draw the right triangle as shown in the image attached.

Δ QRS

Where R is the right angle

Given

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Now, using Pythagorean Theorem, we can find RS:

$QR^2+RS^2=QS^2\\8^2+RS^2=17^2\\RS^2=17^2-8^2\\RS^2=225\\RS=\sqrt{225}\\RS=15$

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$SinQ=\frac{15}{17}$

This is the value of SinQ.

We don't want the angle, so we'll stop here.

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2 years ago

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2 years ago

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

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Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$

$b = 5$

If we know that $p = 18$ and $b = 5$ , then the height of the rectangle is:

$2\cdot h = p-2\cdot b$

$h = \frac{p-2\cdot b}{2}$

$h = \frac{p}{2}-b$

$h = 4$

There are two possible solutions for the other two vertices of the rectangle:

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