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Phantasy [73]
2 years ago
11

Evaluate the expression below if a = 8 and b=-5 I a l - I b I

Mathematics
1 answer:
Grace [21]2 years ago
5 0
The answer should be 3 since its the absolute value and thats just how far a number is from 0 so it would be 8-5=3
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Please help with this question.
barxatty [35]

Answer:

Step-by-step explanation:

The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.

Csc is the inverse of sin. So we could rewrite as

\frac{1}{sinA}=2.5 or more easy to work with is this:

\frac{1}{sinA} =\frac{2.5}{1}

and cross multiply to get

2.5 sinA = 1 and

sinA=\frac{1}{2.5} which simplifies to

sin A = .4

Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.

We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180.  Therefore,

angle B = 180 - 23.58 - 90 so

angle B = 66.42

The area of a triangle is

A =\frac{1}{2}bh where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9.  Right triangle trig applies:

sin(66.42)=\frac{h}{3.9} and

3.9 sin(66.42) = h so

h = 3.57

Now for the base.  Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:

sin(23.58)=\frac{b}{3.9} and

3.9 sin(23.58) = b so

b = 1.56

Now we can find the area:

A=\frac{1}{2}(1.56)(3.57) so

A = 2.8 cm squared

3 0
3 years ago
John had 84 dollars, and his brother Fred owed 12 dollars to his friend. John gave his brother some money. Fred paid his debt an
kumpel [21]

Answer:

John gave Fred $48

Step-by-step explanation:

Let

x be the amount of dollars John gave fred

y1 be the amount of dollars Fred has at the end

y2 be the amount of dollars John has at the end

Fred has

y1 = - $12 + x

John has

y2 =  $84 - x

y1 = y2

- $12 + x =  $84 - x

2*x = $96

x = $48

5 0
3 years ago
WILL GIVE BRAINLIEST AND 30 POINTS! SHOW WORK!
MA_775_DIABLO [31]

Answer:

this is true yung blood

Step-by-step explanation:

cause this is why 8839?/+ienjnciwj[2i0392 = TRUE

3 0
3 years ago
Graph the inequality below on the number line.<br><br> x&gt;-6
lina2011 [118]

Plot an <u>open hole</u> at -6; shade to the <u>right</u>

The open hole is because we don't include -6 itself.

The shading to the right indicates all numbers larger than -6.

3 0
3 years ago
Read 2 more answers
To sell suren
Viktor [21]

Answer:

15 bundles

Step-by-step explanation:

Given

Bundles= 3

Bundles= 5

Required

The least number of bundles that could be sold

To do this, we simply calculate the LCM of the given number of bundles.

For 3, we have:

Bundles = 3, 6, 9, 12, 15, 18...

For 5, we have:

Bundles = 5, 10, 15, 20...

<em>The least common factor between both is: 15. Hence, the least number of bundles is 15</em>

7 0
3 years ago
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