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2 years ago

Which triangles could not be similar to triangle ABC ?

Mathematics

1 answer:

docker41 [41]2 years ago

3 0

Answer:

B & C &D&E

Step-by-step explanation:

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Find the angles between -pi and pi that satisfy: (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

3 years ago

A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount

Ksivusya [100]

Originally without the 10% extra, both have 100%. since the question stated that the first salesperson have 10% more, the percentage of his paycheck will be a total of 110%. on the other hand, the second salesperson will have only 100%. the question then stated that when both oaychecks are added together, it will give a total of $1075.

110% + 100% represents $1075
210% represents $1075

so now you need to find what is 1 %
1% represents $(1075/210)

the first salesperson have 110%, so you
(1075/210) × 110% = $563. 0952381
round off to the nearest cent so it will become $563.10
the first salesperson paycheck is $563.10

the second salesperson paycheck 100%. so you....
(1075/210) × 100% = $511.9047619
=$511.90
therefore the second salesperson paycheck is $511.90.

4 0

3 years ago

How do you find an inequality on a graph ?

Helga [31]

There are three steps:Rearrange the equation so "y" is on the left and everything else on the right.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

3 0

3 years ago

A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys

Dahasolnce [82]

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78 equation 1

y + x = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

3 0

2 years ago

The parrots at the top of the tree is about 10 inches long and has a wing span of 15 inches what fraction represents the birds l

QveST [7]

The correct answer is 10/15, simplified to 2/3.

6 0

3 years ago