2 years ago

I’m A Triangle, The Sum Of Any Two Side Lenghts, Finish The Sentence

Mathematics

1 answer:

Alchen [17]2 years ago

4 0

Equals the third side length

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How do I solve this

ra1l [238]

-2+(-5)=-7 and 6+(-3)=3

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2 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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2 years ago

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

Reika [66]

See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.

$\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2$

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

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2 years ago

470.47 in expanded form

Aleksandr-060686 [28]

Four hundred seventy and forty seven hundredth

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2 years ago

A store received a shipment of soup cans. The clerk put an equal number of cans on each of 4 shelves. Write an equation to repre

icang [17]

To represent the number of cans in each shelf you will divide the total number of cans by the number of shelves.

This is represented as
t/4 = n.

8 0

2 years ago

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