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max2010maxim [7]
3 years ago
11

Emily can walk 3/4 of a mile in 1/4 of an hour.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

20 minutes

Step-by-step explanation:

Method 1:

(0.75)/(0.25)=(1)/(x)

0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!

0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.

Method 2:

(0.75)/(0.25)=(1)/(x)

Cross-multiply

0.75x=0.25

(0.25)/(0.75)=x

x=0.33333 hours

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Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°​
Lerok [7]

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is sin\: x = cos 19^{\circ}, where 0°< x < 90°?

Solving:

sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}

So, we get x = 71°

Option B is correct answer.

5 0
3 years ago
Compare the following rational numbers with &gt; or &lt;..<br> -7.56 _____ -5.76
babunello [35]

Answer:

<

Step-by-step explanation:

-7.56 < -5.76

3 0
3 years ago
Read 2 more answers
What is the final amount if 286 is increased by 7% followed by a further 9% increase?
sladkih [1.3K]

Answer:

333.56

Step-by-step explanation:

286×1.07=306.02

306.02×1.09=333.56

4 0
3 years ago
Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your th
RideAnS [48]

Answer:

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Step-by-step explanation:

Lets solve!

We have to find out how much of the candle needs to be burned!

14cm - 6cm = 8cm

The candle must burn 8cm in 4 hours!

Lets find out how much the candle burns in 1 hour.

\frac{8cm}{4hours}= 2cm per hour

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Woohoo, We did it! <u>Would you like to mark my answer as brainliest?</u> I would love that!

6 0
3 years ago
Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a
SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}

where \theta represents the angle of reference.

Plugging in the values from the triangle.

\tan 35\° =\frac{BC}{AC}

\tan 35\° =\frac{70}{AC}

Multiplying both sides by AC.

AC\times \tan 35\° =AC\times \frac{70}{AC}

AC\times \tan 35\° =70

Dividing both sides by \tan 35\°

\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}

∴ AC=99.97\ m\approx 100\ m

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

7 0
3 years ago
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