Mathematics College

which statements are true about angle b in this triangle?

Answers

Answer 1

Answer:

b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

e) [tex]\tan(B) = 1[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

The true statement about B

The given options show that we determine the correct trigonometry ratio of B.

So, we have:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(B) = \frac{a}{c}[/tex]

Where:

[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]

Also:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(B) = \frac{b}{c}[/tex]

Where:

[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

Lastly:

[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]

This gives:

[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]

[tex]\tan(B) = 1[/tex]

Hence, (b) and (e) are true

Related Questions

Please help! Tell the numbers that I have to add to demostrate the answer

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Answer:

I am not sure what you mean but the answer is

Step-by-step explanation:

I'll give points + brainalist please help this is a finals test and I'm on a time limit (:

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My guess would be 130 but I have no idea

A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability that both marbles will be red

Answers

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

In how many ways can a starting team of 5 players be chosen from a team of 14

Answers

Answer:

There are thousands of different combinations possible.

Step-by-step explanation:

I need help ASAP i will give brainlist

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Answer:

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

If 18 is 45% what is 100%

need help ASAP any random answers just for points will be reported

Answers

Answer: 45

Step-by-step explanation:

Solution for What is 45 percent of 100:

45 percent * 100 =

(45:100)* 100 =

(45* 100):100 =

4500:100 = 45

Now we have: 45 percent of 100 = 45

Question: What is 45 percent of 100?

Percentage solution with steps:

Step 1: Our output value is 100.

Step 2: We represent the unknown value with $x$x.

Step 3: From step 1 above,$100=100\%$100=100%.

Step 4: Similarly, $x=45\%$x=45%.

Step 5: This results in a pair of simple equations:

$100=100\%(1)$100=100%(1).

$x=45\%(2)$x=45%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{100}{x}=\frac{100\%}{45\%}$

100

100%

45%

Step 7: Again, the reciprocal of both sides gives 45

$\frac{x}{100}=\frac{45}{100}$

100=

100

$\Rightarrow x=45$⇒x=45

Therefore, $45\%$45% of $100$100 is $45$

Answer:

Step-by-step explanation:

I like to find common factors.

45% and 18 are both divisible by 9.

45% ÷ 9 = 5%

18 ÷ 9 = 2

2 is equal to 5%

100% ÷ 5% = 20

20 × 2 = 40

100% = 40.

The probability that it will be warmer today than it was yesterday is 0.1.
The probability that it will be colder today than it was yesterday is 0.7.
a .What is the probability that it will not be colder today than it was yesterday?
b What is the probability that it will not be warmer today than it was yesterday?

Answers

Answer:

a) 30% probability that it will not be colder today than it was yesterday

b) 90% probability that it will not be warmer today than it was yesterday

Step-by-step explanation:

In this question, we have that:

0.1 = 10% probability it will be warmer today than yesterday.

0.7 = 70% probability it will be colder today than yesterday.

a .What is the probability that it will not be colder today than it was yesterday?

70% probability it will be colder, so 100 - 70 = 30% probability that it will not be colder today than it was yesterday.

b What is the probability that it will not be warmer today than it was yesterday?

10% probability it will be warmer today than yesterday, so 100 - 10 = 90% probability that it will not be warmer today than it was yesterday

Help me please its due in 20 minutes!!!!

Answers

your mom is dead bro just give it up man

What is the recursive rule for an=4n-3

Answers

Answer:

Step-by-step explanation:

n=1

4×1=4

4-3=1

Help I need nhelp on this question and no links please

Answers

Image of answer

I hope that helps

- 4018669

What is the maximum number of boxes that can be purchased with $65.00?

Answers

What is the price of the individual boxes?

How ever much the boxes are

FOR 50 POINTS
Halp this is worth a lot of my grade

How many dogs were bought in 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, and 2020.

Answers

What class is this for? I’ll help you but i don’t see a picture or anything. How many dogs were bought around the world or in one particular area?

It takes Brent 9 minutes and 14 seconds to walk around the pond. It takes Dana 8 minutes 41 seconds to walk around the pond. How many more seconds does it take Brent to walk around the pond than Dana?

Answers

Answer:

0 min 33 sec

Step-by-step explanation:

9 min 14 sec

- 8 min 41 sec

-----------------------

8 min 60+14 sec

- 8 min 41 sec

-----------------------

8 min 74 sec

- 8 min 41 sec

-----------------------

0 min 33 sec

hi can you please help me with my work please no Link please no Link

Answers

Answer:

Its D i did this before cause I do i-Ready to! <3

-5x+3y-3x+2y show work please

Answers

To solve this, just add like terms. 3y+2y=5y; -5x+-3x=-8x. So, the answer is -8x+5y or 5y-8x.

IF PASSPORT is written as RCUURQTV, then how will BOOKLET be coded?

Answers

Answer: DQQMNGV

Step-by-step explanation: Each letter is shifted two letters to the right on a letter strip (a -> b -> c), so BOOKLET would be DQQMNGV.

Hope this helps!

I need help with Additional practice it is find the area of each trapezoids or kite

Answers

Answer:

♡●●♡♤●■

⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■

Step-by-step explanation:

86{\86{●

solve For X if 9( x²_1 )= 27 x 2187

Answers

Answer:

use photomath it'll slove it for you

Step-by-step explanation:

Find the circumference of a circle with a diameter of 35 ft. Use 22/7 for π.

Answers

Answer:

110

Step-by-step explanation:

the equation for circumference of a circle is 2 multiplied by pie multiplied by radius. so you do 22/7 multiply that by two and then divide 35 by 2 and get 17.5 and multiply that by the pie times 2

Select all expressions that are equivalent to 7x + 4 - (2x - 5).
A: 7x + 4 - 2x -5
B: 7x + 4 - 2x + 5
C: 7x + 4 + (-2x) - (-5)
D: 9x + 9
E: 5x -1
F: 5x + 9

Answers

Answer:

B, C, F

Step-by-step explanation:

7x + 4 - (2x - 5) = 7x - 2x + 4 + 5 or 5x + 9

The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the expression is :

7x + 4 - (2x - 5)

now, we have to simplify this to get the equivalent expressions.

so, we have,

7x + 4 - (2x - 5)

= 7x + 4 - 2x + 5

(Removing the brackets)

=7x + 4+ (-2x) - (-5)

= 7x + (-2x) +4 - (-5)

=5x +4 + 5

= 5x + 9

so, the equivalent expressions are, B,C,F.

Hence, The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).

To learn more on simplification click:

brainly.com/question/28996879

#SPJ3

What is the height (h) of the prism?
3ft
6ft

Answers

6ft is the answer!! hope this helps :-)

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

Use the distributive property to simplify the expression 7 (8x+3).

7(8X+3=

Answers

Answer:

56x+21

Step-by-step explanation:

7times 8x is 56x

7 times 3 is 21

add them together and you get 56x+21

I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa PART 2

Answers

Answer:

1) Yes

2) Yes

3) Yes

4) No

5) Yes

6) Yes

7) Yes

8) Yes

9) Yes

10) No

Step-by-step explanation:

The triangle inequality theorem states that the length of any 2 sides of a triangle must be greater than the third side of that same triangle.

1) By Inspection, 2 + 10 > 11.

Thus, this set can be lengths of the sides of a triangle

2) 7 + 9 > 10