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Flura [38]
3 years ago
6

Give the digits in the ones place and the hundredths place. 16.89

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0
Hundredths place=9
Ones place=6
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The length of a rectangle is 5 feet and the width is x the perimeter is less than 15 feet write and solve an inequality to find
topjm [15]

Answer:

5 ft * x ft

x ≤ 3 ft

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Given: f(x) = x - 7 and h(x) = 2x + 3
LenKa [72]

<u>ANSWER</u>


h(f(x))=2x-11


<u>EXPLANATION</u>


Given f(x)=x-7


and

h(x)=2x+3


We want to find


h(f(x))=h(x-7)

This means we substitute the function f in to another function h and evaluate.

This implies that;

h(f(x))=2(x-7)+3


We expand the parenthesis to obtain;


h(f(x))=2x-14+3

We simplify further to obtain;

h(f(x))=2x-11


Hence the correct answer is A

8 0
3 years ago
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4 Tan A/1-Tan^4=Tan2A + Sin2A​
Eva8 [605]

tan(2<em>A</em>) + sin(2<em>A</em>) = sin(2<em>A</em>)/cos(2<em>A</em>) + sin(2<em>A</em>)

• rewrite tan = sin/cos

… = 1/cos(2<em>A</em>) (sin(2<em>A</em>) + sin(2<em>A</em>) cos(2<em>A</em>))

• expand the functions of 2<em>A</em> using the double angle identities

… = 2/(2 cos²(<em>A</em>) - 1) (sin(<em>A</em>) cos(<em>A</em>) + sin(<em>A</em>) cos(<em>A</em>) (cos²(<em>A</em>) - sin²(<em>A</em>)))

• factor out sin(<em>A</em>) cos(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (1 + cos²(<em>A</em>) - sin²(<em>A</em>))

• simplify the last factor using the Pythagorean identity, 1 - sin²(<em>A</em>) = cos²(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (2 cos²(<em>A</em>))

• rearrange terms in the product

… = 2 sin(<em>A</em>) cos(<em>A</em>) (2 cos²(<em>A</em>))/(2 cos²(<em>A</em>) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(<em>A</em>)

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - 1/cos²(<em>A</em>))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - sec²(<em>A</em>))

• divide through again by cos²(<em>A</em>)

… = (4 sin(<em>A</em>)/cos(<em>A</em>)) / (2/cos²(<em>A</em>) - sec²(<em>A</em>)/cos²(<em>A</em>))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(<em>A</em>) / (2 sec²(<em>A</em>) - sec⁴(<em>A</em>))

• factor out sec²(<em>A</em>) in the denominator

… = 4 tan(<em>A</em>) / (sec²(<em>A</em>) (2 - sec²(<em>A</em>)))

• rewrite using the Pythagorean identity, sec²(<em>A</em>) = 1 + tan²(<em>A</em>)

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (2 - (1 + tan²(<em>A</em>))))

• simplify

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (1 - tan²(<em>A</em>)))

• condense the denominator as the difference of squares

… = 4 tan(<em>A</em>) / (1 - tan⁴(<em>A</em>))

(Note that some of these steps are optional or can be done simultaneously)

7 0
2 years ago
Jen is planning a trip to France. The exchange rate is 3 Euros for $4. How many Euros will she get if she exchanged $28? DO NOT
Nonamiya [84]
The answer would be 21 euros
8 0
2 years ago
Someone, please help! Thank you!
Setler79 [48]

Answer:

324°

Step-by-step explanation:

Totak angles in a 7 sided polygon = 900°

Side A = 3

Side B = 1

Side C = 4

Side D = 1

Side E = 5

Side F = 9

Side G = 2

Total = 25

The largest angle has the largest ratio which is side F

Angle in side F = Ratio of side F / total ratio × 900°

= 9/25 × 900°

= 0.36 × 900°

= 324°

The largest angle = 324°

The smallest angles are angles with the lowest ratio which are side B and side D

Angle in side B = Ratio of side F / total ratio × 900°

= 1/25 × 900°

= 0.04 × 900°

= 36°

The smallest angles are angles 36°

4 0
3 years ago
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