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2 years ago

I’m having trouble with this question can someone help me

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

5 0

Answer:

Step-by-step explanation:

sinP = ST/PS = RQ/PQ

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Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as

stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

$a=7\ cm\\c=13\ cm$

substitute

$13^{2}=7^{2}+b^{2}$

Solve for b

$169=49+b^{2}$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

we have that

<em>Jayden's Work</em>

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\b=13\ cm$

substitute and solve for c

$7^{2}+13^{2}=c^{2}$

$49+169=c^{2}$

$218=c^{2}$

$c=\sqrt{218}\ cm$

$c=14.76\ cm$

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\c=13\ cm$

substitute

$7^{2}+b^{2}=13^{2}$

Solve for b

$49+b^{2}=169$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

therefore

Sheridan's Work is correct

6 0

2 years ago

Read 2 more answers

If you get paid $15 and hour, how much would time and a half be?

madam [21]

Answer: If you mean five instead of time, then the answer would be 82.5

Step-by-step explanation:

15 × 5.5 = 82.5

4 0

3 years ago

Read 2 more answers

Solve for angle A with sides 6,10,9

OLga [1]

Answer:

c = 13.52 units.

Step-by-step explanation:

So for this, lets use the Law of Sines, which says that:

Sin A / a = Sin B / b = Sin C / c

We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.

180 - 80 - 33 = 67 degrees

With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines

Sin A / a = Sin C / c

sin 33/8 = sin 67/c

c = 8*sin67 / sin 33

c = 13.52 units.

4 0

2 years ago

Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 mph faster than the other. If t

Artemon [7]

Answer:

46 mph and 61 mph

Step-by-step explanation:

Distance=speed*time

Let speed of one bus be x and another x+15

After 3 hours

First bus would have traveled 3x while second bus 3(x+15)=3x+45

Total distance= 3x+3x+45=6x+45

6x+45=321

6x=321-45=276

x=276/6=46 mph

x+15=46+15=61 mph

4 0

2 years ago

y=3x+3 y=−2x+3 how many solutions does the system have

allochka39001 [22]

Answer: One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

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To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

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These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

5 0

2 years ago