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3 years ago

Given triangle ABC, which equation could be used to find the measure of ∠C?

Mathematics

1 answer:

GREYUIT [131]3 years ago

5 0

Answer:

sin m∠C = 2 square root of 5 all over 5

Step-by-step explanation:

The mnemonic SOH CAH TOA is helpful for sorting this out. A picture can help, too. The mnemonic tells you ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Here, the hypotenuse is 3√5. Putting that in the denominator will result in a factor of (√5)/5 in the sine and cosine values. (This eliminates the third choice.)

We can examine the ratios that are offered in the answer list and see what they really represent:

(2√5)/5 = AB/BC = sin(C) . . . . not cosine

(√5)/5 = AC/BC = cos(C) . . . . not sine

(√5)/2 = BC/AB = 1/sin(C) = csc(C) . . . . not cosine

(2√5)/5 = AB/BC = sin(C) . . . . . the correct answer choice

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Two angles are said to be congruent if

dem82 [27]

Congruent means Same Side, Same Shape.
If two angles are congruent, they are to be of the same size and same shape or a fraction of it (Dilation)

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3 years ago

Read 2 more answers

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 Answer A is wrong.

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 Answer B is wrong.

C. A=(3+26)(3+15)=(29)(18)=522 Answer C is wrong.

D. A=(3+14)(3+8)=(17)(11)=187 Answer D is wrong.

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239 Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.

5 0

4 years ago

I need some help i cant figure this out

Luden [163]

Answer:

Um the picture isn´t very clear it is hard to see it.

Step-by-step explanation:

at least on my end it is.

8 0

3 years ago

A toy store has six shells with five gang boxes on each shelf how many game boxes are thA toy store has six shells with five gan

docker41 [41]

Answer:

30 game boxes

Step-by-step explanation:

We have to multiply the number of each shelf by the number of game boxes,

The store has 6 shelves and 5 game boxes on each shelf.

Therefore, the number of game boxes that there are is:

6 * 5 = 30 game boxes

7 0

4 years ago

Larry buys a tent that is on sale for 25% off the original price. The original price is $80 more than the sale price. What is th

myrzilka [38]

Answer:

The original price of the tent = $320

Step-by-step explanation:

Let the original price be =$ $x$

Discount offered = $25$ % of the orignal price = $\frac{25}{100}\times x=0.25\times x =\$ 0.25x$

Original price is $80 more than sale price

Discount = Original price - Sale price = $80

So, we have

$0.25x=80$

We need to solve for $x$ to find original price

Dividing both sides by $0.25$

$\frac{0.25}{0.25}x=\frac{80}{0.25}\\x=\$320$

∴ The original price of the tent = $320

3 0

4 years ago