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3 years ago

Find the length of the missing side. If necessary, round to the nearest tenth.

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.

So:

35^2 + b^2 = 40^2

1225 + b^2 = 1600

b^2 = 375

b = $\sqrt{375}$

b = 19.3649

The missing side's length rounded to the nearest tenth is Option C, 19.4

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According to the Distributive Property, a(b + c) = ab + ac for all real

solong [7]

ab + ac + ad is the same as a(b + c + d) according to the distributive property

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3 years ago

-2x+3=15? What is the answer

const2013 [10]

-2x+3=15

Subtract 3 from both sides:

-2x=12

Divide -2 from both sides:

X=-16 is your answer

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2 years ago

The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl

gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

from perihelion to the sun in terms of ellipse is a-c;
from aphelion to the sun in terms of ellipse is a+c.

Then

$\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.$

Add these two equations:

$2a=1,558,000,000 \\ \\a=779,000,000$

and subtract first equation from the second:

$2c=76,000,000 \\ \\c=38,000,000.$

Note that $b=\sqrt{a^2-c^2},$ thus

$b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.$

The equation for the planet's orbit is

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.$

7 0

3 years ago

Match the following items.

Misha Larkins [42]

Based on the points on the graph, the correct matches are:

A - (-4, -2).
B - .(2, -4)
C - (4, -2).
D - (2, 5)
E - (-1, 1)
F - (-5, 0)
G - (4, 2)
H - (0, -5)

<h3>How are points located on a graph?</h3>

To find a point, you need to look at the x-axis first and then the y-axis.

Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.

For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.

Find out more on the coordinates of points on graphs at brainly.com/question/11337174.

#SPJ1

5 0

1 year ago

Describing Key Features of a Graph of a Polynomial Function:

Diano4ka-milaya [45]

End behavior:

The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.

Zeroes:

f(x) = x³ + 2x² - 8x

0 = x³ + 2x² - 8x

0 = x(x² + 2x - 8)

0 = x(x + 4)(x - 2)

0 = x 0 = x + 4 0 = x - 2

x = 0 x = -4 x = 2

Intervals:

Put the zeroes in order: -4, 0, 2

since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.

Graph:

see attachment

3 0

3 years ago

Read 2 more answers