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Tatiana [17]
3 years ago
5

Sarah drives 55 mi/h for h hours. which expression shows the number of miles that sarah drove?

Mathematics
2 answers:
jeyben [28]3 years ago
7 0

The expression that I can make from this data is 55 x h = miles traveled

Norma-Jean [14]3 years ago
5 0

Answer:

The expression is 55 x h = miles traveled

Step-by-step explanation:


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(−x)(16x2+1)

Step-by-step explanation:

−16x3−x

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3 years ago
Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, h
galben [10]

Pablo can ride his bicycle with speed of 18 miles per hour

<u>Solution:</u>

Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.  

Let the speed of Pablo be "n" miles per hour

Then the speed of the Pedro will be "2n" miles per hour

Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,  

We have to find how fast can Pablo ride his bicycle?

<em><u>The formula for speed is given as:</u></em>

\text { distance }=\text { speed } \times \text { time }

Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours

<em><u>In case of Pablo:</u></em>

\begin{array}{l}{72 \text { miles }=\text { speed } \times (t+2) \text { hour }} \\ {\rightarrow 72=n \times(t+2) \rightarrow(1)}\end{array}

<em><u>In case of Pedro:</u></em>

\begin{array}{l}{72 \text { miles }=\text { speed } \times \text { thours }} \\ {\rightarrow 72=2 n \times t \rightarrow(2)}\end{array}

Then, equate both (1) and (2)

\begin{array}{l}{n \times(t+2)=2 n \times t} \\\\ {\rightarrow t+2=2 \times t} \\\\ {\rightarrow t+2=2 t} \\\\ {\rightarrow 2 t-t=2} \\\\ {\rightarrow t=2}\end{array}

Now, substitute t = 2 in (2)

\begin{array}{l}{\rightarrow 72=2 n \times 2} \\\\ {\rightarrow 72=4 n} \\\\ {\rightarrow n=18}\end{array}

Hence, the speed of Pablo is 18 miles per hour.

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Angle bcd is a circumscribed angle of circle a. What is the length of line segment ac?
enyata [817]

Step-by-step explanation:

Answer:

The length of segment AC is 10 units ⇒ 1st answer

Step-by-step explanation:

Look to the attached figure

In circle A

∵ AB is a radius

∵ BC is a tangent to circle A at B

- The radius and the tangent are perpendicular to each other

    at the point of contact

∴ AB ⊥ BC at point B

∴ m∠ABC = 90°

In ΔABC

∵ m∠B = 90°

∵ AB = 8 units

∵ BC = 6 units

- By using Pythagoras Theorem (Square the hypotenuse is

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∵ (AC)² = (AB)² + (BC)²

∴ (AC)² = (8)² +(6)²

∴ (AC)² = 64 + 36

∴ (AC)² = 100

- Take √ for both sides

∴ AC = 10 units

The length of segment AC is 10 units

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