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Stells [14]
3 years ago
8

In the triangle below, determine the value of a.

Mathematics
2 answers:
iren [92.7K]3 years ago
7 0
To be able to solve the problem above, we use trigonometric functions and their definitions. From the given, it would be useful to use the sine function which is equal to the ratio of the opposite length and the hypotenuse. We calculate as follows:

sin theta = opposite / hypotenuse
sin 47 = a / 51
a = 37.30
Anna35 [415]3 years ago
5 0
51sin(47) because 51 is the hypotenuse and a is the opposite so we use sine because sine=opp/hypotenuse therefore sin(47)=a/51 then rearrange the formula to make a the subject the final answer is 37.3 to the nearest 3 significant figures
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xz_007 [3.2K]

Answer:

x = -1/2 and -2

Step-by-step explanation:

Solve for <em>x</em>: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Using the quadratic formula: Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

7 0
3 years ago
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Suppose you work in a grocery store 4 hours on Friday and 5 hours on Saturday. You earn $6.25 an hour.
Shalnov [3]

Answer:

If the quetion is how much money I earned on both days it would be 56.25

Step-by-step explanation:

4hours times 6.25 an hour = 25 now we do 5hours times 6.25 an hour = 31.25 so add them to get 56.25

5 0
3 years ago
In need of help plz <br> Find the ∠VXW and ∠XVW
My name is Ann [436]

Answer:

∠VXW = 57°

∠XVW = 56°

Step-by-step explanation:

Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.

Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180  to find the ∠YXZ; 180° - 123° = 57°.

Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°

Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.

Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;

67° + 57° = 124°

180° - 124° = 56°

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∠VXW = 57°

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4 0
3 years ago
What is the correct answer to this?
ra1l [238]

Answer:

33.4933 ≈ 33.5 mm³

Step-by-step explanation:

Given that,

→ Radius (r) = 2 mm

Formula we use,

→ 4/3 πr³

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→ 4/3 πr³

→ 4/3 × 3.14 × 2 × 2 × 2

→ 4/3 × 3.14 × 8

→ 4/3 × 25.12

→ 100.48/3

→ 33.4933

→ [ ≈ 33.5 mm³ ]

Hence, volume of sphere is 33.5 mm³.

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