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Alexus [3.1K]
3 years ago
15

Simplify the expression 7(a−3+4b).

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer: 7a -21 +28b

Step-by-step explanation:

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Each number contains a different amount than others.
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In ΔDEF, the measure of ∠F=90°, FE = 21, DF = 20, and ED = 29. What is the value of the cosine of ∠E to the nearest hundredth?
luda_lava [24]

Answer:

43.60°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29

As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side

Cosine ∠E = 21/29

∠E = cos-1 0.724137931

∠E = 43.60° to the nearest hundredth

8 0
3 years ago
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Given: AC and BD are diameters. If chord CD is drawn, the measure of angle ACD would be
Elina [12.6K]

Step-by-step explanation:

1=78°

3= 78°

4= 360°- 78° - 78°

= 204° ÷ 2

= 102°

2= 102°

Note that 1+2+3+4=360°

180° - (4)

= 180° - 102°

= 78° ÷ 2

= 39°

ans; angle ACD is 39°

6 0
4 years ago
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In which situation is the maximum possible work done?
Luden [163]

Answer:

So the answer is the OA :P

Step-by-step explanation:

This means that when the force is applied on a body and the displacement of the body takes place in the direction of the force applied then work done is maximum. So when theta=0°, work done is maximum. !

^^ I hope I helped you ;) ^^

4 0
4 years ago
Can someone please help with parts a, c, and e (picture included)
Ivanshal [37]
I think the answer is D and the reason why is because the picture shows
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