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3 years ago

The figure shows two similar triangles:

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Answer:

An exterior angle of a triangle is equal to the sum of the two remote

Step-by-step explanation:

2 a b c. 13. 10 z. 169 100 z. 269 z z. 269 16.4. +. = +. = +. = = = ≈. 3 – 4 – 5 x6 x6 x6 ... x 12. = = = = w y z x.

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8_murik_8 [283]

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3 years ago

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muminat

Concave- any <span>angle that is greater than 180°</span>

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3 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

This is the pic for the previous question...

Elina [12.6K]

Answer:

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8 0

3 years ago

Molly is making peanut butter cookies. To make a batch of cookies she needs cups of peanut butter, 1.5 cups of sugar, and 1 egg.

Rina8888 [55]

Answer:

4 batches

Step-by-step explanation:

one batch calls for:

3/4 PB

1 1/2 cup SG

1 EGG

3/.75(3/4)= 4

9/1.5(1 1/2)=6

5/1= 5

The maximum number of batches she can make before running out of ingredients is 4

6 0

3 years ago