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3 years ago

14

Jonathan's family took a road trip to the Grand Canyon. Jonathan fell asleep after they had travelled 260 miles. If the total le

ngth of the trip was 400 miles, what percentage of the total trip had they travelled when Jonathan fell asleep?

1 answer:

kipiarov [429]3 years ago

4 0

He was awake for 65% and then fell asleep for the remaining 35%.

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Diameter of a cone base is 5 cm and a slant height is 4M find surface area

Nutka1998 [239]

Hi there!

The total surface area (tsa) of a cone can be calculated with this formula :

TSA = ( $\pi$ × r × slant height) + $\pi$ × r²

The "r" stands for "radius". The radius is equal to half the diameter, so in order to be able to use the formula, you'll need to divide the diameter by 2 to find the radius :

5 ÷ 2 = 2.5 = radius

Since the slang height is in meters, you'll need to transform it into centimeters in order to have both values in centimeters. To do so you'll need to use the cross product method :

1 m = 100 cm

4 m = x cm

(100 × 4) ÷ 1 = x cm

400 ÷ 1 = x cm

400 = x cm → The slant height is 400cm.

Now replace all the information in the formula and calculate everything :

TSA = ( $\pi$ × 2.5 × 400) + ( $\pi$ × 2.5²)

TSA = ( $\pi$ × 1,000) + ( $\pi$ × 6.25)

TSA ≅ 3,141.59 + 19.63

TSA ≅ 3,161.22 cm²

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

3 years ago

In the equation 6x - 4y = 3, if x = -9, what is the value of y?

KIM [24]

I think is the third one

4 0

3 years ago

Express the complex number in trigonometric form. <br><br> -4i

jeka57 [31]

Answer:

-4i = 4(cos 270 +i sin 270)

Step-by-step explanation:

We have a+ib = r(cosθ+isinθ)

$r=\sqrt{a^2+b^2}\texttt{ and }tan\theta =\frac{b}{a}$

Here a = 0 and b = -4

Substituting

$r=\sqrt{0^2+(-4)^2}\\\\r=4\\\\tan\theta =\frac{-4}{0}\\\\\theta =270^0\texttt{(Since a is zero and b is negative)}$

-4i = 4(cos 270 +i sin 270)

3 0

3 years ago

What is the measure of the missing angle in the triangle below?

nirvana33 [79]

Answer:

<em>41 degrees</em>

Step-by-step explanation:

<em>According to Angle Sum Property, the sum of the internal angles of a triangle is equal to 180 degrees.</em>

<em>Therefore,</em>

<em>52 + 87 + ? = 180</em>

<em>139 + ? = 180</em>

<em>? = 180 - 139</em>

<em>? = 41 degrees</em>

8 0

2 years ago

Help! Does anyone know which answer is correct?

guapka [62]

What you do is solve all of the equations using the coordinates given for l and m

6 0

3 years ago