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Leto [7]
3 years ago
12

Find BC, Round to the nearest tenth

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

<u>Given</u>:

Given that the measure of ∠A is 74°

The length of side b is b = 6.

The length of side c is c = 5.

The length of side BC is a.

We need to determine the value of BC.

<u>Value of BC:</u>

The value of BC can be determined using the law of cosine formula.

Thus, we have;

a^2=b^2+c^2-2bc \ cos (A)

Substituting b = 6, c = 5 and ∠A = 74°, we get;

a^2=6^2+5^2-2(6)(5) \ cos \ 74^{\circ}

a^2=36+25-2(30)(0.28)

a^2=36+25-16.8

a^2=44.2

 a=6.6

Thus, the length of BC is 6.6 units.

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!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
stiks02 [169]

Answer:

Pythagorean Theorem: c2 = a2 + b2

Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh

Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.

The total area of the trapezoid is : A1 + A2 = ab + ½c2

You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2

You subtract out the 2ab: a2 + b2 = c2.

Then what is left is the proof: a2 + b2 = c2

6 0
2 years ago
Match each system to the correct choice.
pogonyaev

Answer:

Option A - Neither. Lines intersect but are not perpendicular. One Solution.

Option B - Lines are equivalent. Infinitely many solutions

Option C - Lines are perpendicular. Only one solution

Option D - Lines are parallel. No solution

Step-by-step explanation:

The slope equation is known as;

y = mx + c

Where m is slope and c is intercept.

Now, two lines are parallel if their slopes are equal.

Looking at the options;

Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.

Thus,the lines are parrallel, no solution.

Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.

Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.

Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.

Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.

Option B falls into this category.

8 0
2 years ago
Gretchen paid 2,5, and 3 dollors if she paid 4 dollors for each at a sale
VladimirAG [237]
40 I am pretty sure that is the right answer
5 0
3 years ago
Pleaseeeee hurryy need help!!
lord [1]

it is the last one

Step-by-step explanation:

by simplifying powers it becomes

8g^8/64h ^5

simplifying it further gives

g^8/ 8h^5

8 0
3 years ago
Read 2 more answers
The ratio of swordfish to marlins caught on a deep sea fishing trip was 20 to 15. If 27 marlins were caught, how many swordfish
Kisachek [45]
20/15=N/27
Do cross multiplication.
20x27=540
540/15=39
So the answer ia 39.
6 0
2 years ago
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