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2 years ago

Find the sides marked with lettersAlso explain how to solve it

Mathematics

1 answer:

NeX [460]2 years ago

3 0

Answer:

m = 10

Step-by-step explanation:

The triangles are similar. The scale factor is 15/9.

We multiply 6 by the scale factor and get m:

m = 6 * 15/9 = 10

Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.

a = 16,6 (circa)

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Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Jobisdone [24]

Answer:

The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = $\frac{- 3}{5}$

- sin Ф = $\frac{- 3}{5}$

So, sin Ф = $\frac{ 3}{5}$

Now, as sin Ф = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

So , $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$ = $\frac{ 3}{5}$

So, perpendicular = 3

And hypotenuse = 5

Now, From Pythagoras Theorem

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴ Base = $\sqrt{16}$

I.e Base = 4

Now, Cos Ф = $\dfrac{\textrm base}{\textrm hypotenuse}$

So, Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Now , Since

Cos ( - Ф ) = Cos Ф

So, Cos ( - Ф ) = Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Hence The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ . Answer

6 0

3 years ago

Geometry lesson 11.2 Finding sequence of similarity transformations

serious [3.7K]

Answer:

http://www.rosenmath.com/geom/11.2.pdf

Step-by-step explanation:

Answers are all there, good luck lol

8 0

3 years ago

Identify the equation that dose not belong with the other three explain your reasoning pls

arsen [322]

If you take a moment and solve each equation (find the value
of the letter in each one), it'll jump out at you.

Here, let me do it for you. Why should you tire yourself.

5x = 20 . . . . . x = 4

4b = 7 . . . . . . b = 7/4

8w = 32 . . . . . w = 4

12y = 48 . . . . . y = 4

The second equation is not like the others.
It's the only one where the letter is not equal to 4 .

5 0

3 years ago

Read 2 more answers

A. 15 b. 16 c. 9 d. 14

MAXImum [283]

A. 15
0 +0=0
0 +1 = 1
1+2=3
3+3=6
6+4=10
10+5 = 15

3 0

3 years ago

Read 2 more answers

How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?

valkas [14]

The convex heptagon has 14 distinct diagonals can be drawn

Step-by-step explanation:

A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon

The formula of number of diagonals in any polygon is $d=\frac{n(n-3)}{2}$ , where