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kozerog [31]
3 years ago
8

What is the measure of L in

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Use trigonometry to find L.

Tangent = opposite over adjacent on any right triangle.

tan(L) = 18/23

Take the inverse on both sides.

arctan(tan(L)) = arctan(18/23)

L = 38.0470425318

L = 38.05°

Done.

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Evaluate. (15+12)2+310⋅5 Enter your answer as a mixed number in simplest form by filling in the boxes. $$
Sedbober [7]

Hey there!

(15+12)(2)+ 310(5)

= 27(2) + 310(5)

= 54 + 1,550

= 1,604

Therefore, your answer is should be: 1,604

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8 0
3 years ago
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
cricket20 [7]

Answer:

186 cm²

Step-by-step explanation:

<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>

<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>

<u>Left rectangle:</u>

A = lh

A = 12 (8)

A = 96 cm²

<u>Right rectangle:</u>

A = lh

A = 10 (9)

A = 90 cm²

<u>Total:</u>

A = 90 + 96

A = 186 cm²

4 0
2 years ago
Read 2 more answers
Hey yall i would really appreciate your help on this plz
Katarina [22]

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2

Therefore, the length of the opposite side (x), is 27.2

6 0
3 years ago
A log raft is moving downstream at a speed of 3 km/h. To insure that there are no river jams a supervisor travels along the raft
skad [1K]

Answer:

2000 meters

Step-by-step explanation:

When the motorboat is moving downstream, its speed relative to the ground is 18 km/h, so its speed relative to the raft is 15 km/h.

When the motorboat is moving upstream, its speed relative to the ground is 12 km/h, so its speed relative to the raft is again 15 km/h.

Converted to m/min, the relative speed is:

15 km/h × (1000 m/km) × (1 h / 60 min) = 250 m/min

It takes the motorboat 16 minutes to travel to the front of the raft and back.  Since the speed is the same in both directions, the motorboat takes 8 minutes to travel the length of the raft.

So the length of the raft is 250×8 = 2000 meters.

8 0
3 years ago
How can you write 23/3 as a mixed number?
Illusion [34]
23/3 = 7 2/3 <======
3 0
3 years ago
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