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GenaCL600 [577]
3 years ago
8

Last year, Mr. Jones made $30,000. His boss just informed him that he will be receiving at least an 11.2% raise for this year. H

ow much will he make this year?
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

$33 336

Step-by-step explanation:

Increase = 30 000 × 0.112

Increase = $3336

New salary = 30 000 + 3336

New salary = $33 336

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Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevat
Free_Kalibri [48]

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

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Angle of elevation = 70°

Building B:

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Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

5 0
3 years ago
Suppose that {v1, v2, . . . , vn} spans V and T∈L(V, W). Prove that {T(v1), T(v2), . . . , T(vn)} spans range(T).
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Answer:

Step-by-step explanation:

it’s 6

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