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Marizza181 [45]
3 years ago
15

Help please,,

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

4. tan(D)=7/24 ≈ 0.2917

    tan(F)=24/7 ≈ 3.4286

6. tan(K)=3/5=0.6000

   tan(J)=5/3 ≈ 1.6667

Step-by-step explanation:

The tangent is the side opposite of the angle divided by the side adjacent to the angle.

4. tan(D)=7/24 ≈ 0.2917

EF  is opposite to D and has length 7. The adjacent side is the side forming the angle that is not the hypotenuse, so it's DE and the length is 24 units.

Do the same thing for the rest of the angles. (You probably already know that acute angles are smaller than 90 degrees, so you have to find the tangent of 2 angles in each problem.) I just used a calculator to divide, but you could do it by hand, and I'm guessing you know how to round. Hope I could help!

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Please solve with explanation.
Vesna [10]

Answer:

Area = 160 cm²

Perimeter = 55.31 cm

Step-by-step explanation:

Applying,

Area of the figure = area of the rectangle- area of the triangle

A = lw+bh/2............... Equation 1

From the question,

Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm

Substitute these values into equation 1

A = (16×12)-(8×8/2)

A = 192-32

A = 160 cm²

Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/

Applying pythagoras theorem to get /FG/

FG² = GE²+EF²

FG² = 8²+8²

FG² = 64+64

FG² = 128

FG = √128

FG = 11.31 cm

Therefore,

P = 16+12+4+8+11.31+4

P = 55.31 cm

3 0
3 years ago
What’s the distance between 240 and 0
kakasveta [241]

Answer:

The distance between 240 and 0 is 240

Step-by-step explanation:

You can find the distance between two values by getting it's absolute value.

You can setup the equation like this:

| 0-240 |

When you solve the equation you will find the absolute distance between 240 and 0.

5 0
2 years ago
Calculate the area of the figure below using the following information:
vekshin1

Answer:

106.5 square units.

Step-by-step explanation:

See the attached diagram.

The pentagon ABCDE consists of three triangles namely Δ ABC, Δ ACD, and Δ ADE when we join the diagonals AC and AD.

So, Area of Pentagon ABCDE = Area of  Δ ABC + Area of Δ ACD + Area of triangle Δ ADE.

⇒ Area of Pentagon ABCDE = (31.8 + 39.2 + 35.5) = 106.5 square units. (Answer)

6 0
4 years ago
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Step-by-step explanation:

mutiply

306.9 * 6.4

=1964.16

to one significant figure

=2000

8 0
3 years ago
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