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Oliga [24]
3 years ago
11

A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the resultant distance traveled?

Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0

Answer:

The distance traveled is 357.54km.

Step-by-step explanation:

The situation is illustrated in the figure attached.

From the law of cosines the distance d is given by

d^2 = (250km)^2+(115km)^2-2(250km)(115km)cos(155^o)

d^2 = 127837.698 km^2

\boxed{d = 357.54km}

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Is this correct pls help
Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \pi r^2h (where r is the radius and h is the height)

Radius = \dfrac12 diameter ⇒ r=\dfrac72=3.5

⇒ volume of round cake pan = \pi \times 3.5^2 \times 2=24.5\pi

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = wlh (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0
2 years ago
use the point–slope formula to write an equation of the line that passes through(-5, -16 )and has a slope of m = 3 . Write the a
scoray [572]

Answer:

y + 16 = 3(x + 5)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

  • point: (-5, -16)
  • slope (m): 3

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (-16) = 3(x - (-5))

Simplify.

y + 16 = 3(x + 5)

This is your equation.

Learn with another example:

brainly.com/question/24436844

5 0
2 years ago
Simplify the expression.<br> 2u + 8u - 5u
MAXImum [283]

Answer:

= 5u

Step-by-step explanation:

You combine like terms

( 2u+ 8u = 10u )

( -5u + 10 u =5u)

3 0
3 years ago
Find log_{3} [27*\sqrt[4]{3} ] wihout using a calculator. Please show all work!
Zigmanuir [339]
\bf \textit{logarithm of factors}&#10;\\\\&#10;log_a(xy)\implies log_a(x)+log_a(y)\\\\&#10;-------------------------------\\\\&#10;log_3(27\sqrt[3]{3})\qquad &#10;\begin{cases}&#10;27=3\cdot 3\cdot 3\\&#10;\qquad 3^3\\&#10;\sqrt[3]{3}=\sqrt[3]{3^1}\\&#10;\qquad 3^{\frac{1}{3}}&#10;\end{cases}\implies log_3\left( 3^3\cdot 3^{\frac{1}{3}} \right)&#10;\\\\\\&#10;log_3\left( 3^{3+\frac{1}{3}} \right)\implies log_3\left( 3^{\frac{4}{3}} \right)\implies \cfrac{4}{3}\cdot log_3(3)\implies \cfrac{4}{3}\cdot 1\implies \cfrac{4}{3}
4 0
3 years ago
suppose the z-score of your grade in this statistics course turns out to be .97. interpret this z-score.
Anon25 [30]

A z score of 0.97 corresponds with a probability of 83.40%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation

From the normal distribution table:

P(z < 0.97) = 0.8340 = 83.40%

A z score of 0.97 corresponds with a probability of 83.40%

Find out more on z score at: brainly.com/question/25638875

5 0
2 years ago
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