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2 years ago

8

At a rate of 31 miles per hour, it takes henry 6 minutes to drive from the library to his house. Show how to find distance that

henry Traveled. Include units in your calculatio.

1 answer:

ankoles [38]2 years ago

5 0

Answer: Distance covered by Henry is about 0.52 mile.

Step-by-step explanation:

Formula : Distance = Speed x Time

Given : Speed = 31 miles per hour

Time = 6 minutes

Since 1 hour = 60 minutes

so, $\text{ 1 minute}=\dfrac{1}{60}\text{ hour}$

Now, Distance = $31\times\dfrac{1}{60}\text{ miles}\approx0.52\text{ mile}$

Hence, Distance covered by Henry is about 0.52 mile.

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Solve the given equation

AlexFokin [52]

Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.

36/4 = 9
36/9 = 4
36/12 = 3

New equation looks like:
$9(w-1) +4(w+1) = -3(w+1) \\ \\ 9w -9 +4w +4 = -3w -3 \\ \\ 9w +4w+3w = -3 +9 -4 \\ \\ 16w = 2 \\ \\ w = \frac{2}{16} = \frac{1}{8}$

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3 years ago

Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (–4, 0).

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Answer:

$y^{2}=-16x$

Step-by-step explanation:

we know that

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$(y-k)^{2}=4p(x-h)$

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In this problem we have

(h,k)=(0,0) ----> vertex at origin

(h+p,k)=(-4,0)

so

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2 years ago

A holiday costs £1900. Work out the<br> price after a 9% discount.

Svetradugi [14.3K]

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3 years ago

Read 2 more answers

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

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3 years ago

Shannon saves 1235 in november. In november, she saved $250 less than she did in december. How much money did she save in the tw

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