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3 years ago

Consider the given right triangle. If angle B = 43 degrees and c = 26.7 meters, find a.

Mathematics

2 answers:

AVprozaik [17]3 years ago

5 0

Answer:

a ≈ 19.53 m

Step-by-step explanation:

The triangle is a right angle triangle . This means one angle is 90°. The picture below demonstrate a right angle triangle. If the angle B = 43° and side c = 26.7 meters the side a can be gotten below.

a = adjacent side

b = opposite side

c = hypotenuse

To find side a we use SOHCAHTOA principle

cos 43° = adjacent/hypotenuse

cos 43° = a/26.7

a = 26.7 × cos 43°

a = 26.7 × 0.73135370161

a = 19.5271438332

a ≈ 19.53

Nady [450]3 years ago

3 0

Answer: Side a equals 19.5 metres

Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.

A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).

Cos B = Adjacent/Hypotenuse

Cos 43 = a/26.7

Cos 43 x 26.7 = a

0.7314 x 26.7 = a

19.52714 = a

a ≈ 19.5 (rounded to the nearest tenth)

Therefore the length of side a equals 19.5 metres.

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What is the solution to the inequality below?

Svetlanka [38]

Answer:

B. x < -8 or x > 8

Step-by-step explanation:

You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.

Process:

You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.

This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.

Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!

Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)

The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.

We've proven that this solution is accurate for both parts, so it is definitely the one we want!

Hope this helps!

4 0

3 years ago

You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day a

Deffense [45]

Answer: 30+x+y

Step-by-step explanation:

Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend + Total CDs sold by you

= 14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

6 0

3 years ago

How do you convert decimals between standard and expanded form

nordsb [41]

Answer:

Heres how:

Step-by-step explanation:

Example, 7.831 , here you can see that there are 3 numbers relating to a decimal. the 1 by itself is 0.1000, 3 by itself is 0.300, and the 8 by itself is 0.80 . If you add this, you get 0.831. now add the whole number, Seven. if there is more digits in the decimal, then just add another zero.

7 0

2 years ago

Read 2 more answers

Is Jeff correct or incorrect?

bulgar [2K]

Jeff is correct because:

2 sides of a triangle must always be longer than the other side, so:

12+8>19
19+8>12
12+19>8

Since all of them are true, Jeff is correct

4 0

3 years ago

Write the quadratic function in standard form

Murrr4er [49]

Answer:

B. f(x) = x² + 10x + 17

Step-by-step explanation:

Given:

f(x) = (x + 5)² - 8

Required:

Write in standard form

SOLUTION:

f(x) = (x + 5)² - 8

Expand (x + 5)²

f(x) = (x + 5)(x + 5) - 8

f(x) = x(x + 5) +5(x + 5) - 8

f(x) = x² + 5x + 5x + 25 - 8

Add like terms

f(x) = x² + 10x + 17

6 0

3 years ago