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3 years ago

7

John went on a bike ride to the store 4 miles away. If it took John 310 of an hour to get there and 12 of an hour to get back, w

hat was his average rate of speed (miles per hour) for the entire trip?

2 answers:

Kaylis [27]3 years ago

6 0

Answer:

/???

Step-by-step explanation:

Assoli18 [71]3 years ago

4 0

Answer:

10

Step-by-step explanation:

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What angles do perpendicular lines form

Natasha2012 [34]

Answer:

Perpendicular lines form 90 degree angles. It creates 4 of them, to be exact. Hope this helps! :)

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3 years ago

Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees

drek231 [11]

Given:

In a right triangle at B,

$\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}$

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

$\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}$

Using the trigonometric ratio,

$\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}$

Using the angle sum property,

The angle B becomes,

$\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}$

Final answer:

The values are,

$\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}$

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1 year ago

Given the angles in the diagram, who is closer to the treasure chest and why

Klio2033 [76]

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3 years ago

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3 years ago

Find the area of circle o if DCBO is a rectangle and DB measure 10 units

Dmitrij [34]

Answer:

$100\pi$

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

$\pi {r}^{2}$

$\pi( {10}^{2} ) = 100\pi$

So the area of a circle is 100 pi.

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2 years ago

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