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IRISSAK [1]
2 years ago
6

The length of a rectangle is 6 meters shorter than its

Mathematics
1 answer:
rewona [7]2 years ago
6 0

Answer:

Width = 14m

Step-by-step explanation:

width = w

length = w - 6

area: w(w-6) = 112

w^2 - 6w = 112

14 x 14 = 196

6 x 14 = 84

196 - 84 = 112

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7 0
3 years ago
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Which of the following are identities? Check all that apply
Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}

Double angle tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula sin2\alpha =2sin\alpha *cos\alpha

sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)

D) False No further development towards a Trig Identity

[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)

7 0
3 years ago
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A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 83 feet and then dr
Simora [160]
Initially started 20 feet from the ground . 
Went uphill 83 feet. 
So: 20 + 83 = 103. The coaster is 103 ft above at this point. 

Went down 42 feet 
So: 103 - 42 = 61. 

Went up 128 feet
So: 61 + 128 = 189

Finally, went down 90 feet
So: 189 - 90 = 99

99 ft above ground.
3 0
3 years ago
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You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is
sveticcg [70]
Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a 30*1.26=37.8 cm model. Dividing this by how tall each toothpick is, you'll get:

\frac{37.8}{6.3} =6

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

\frac{37.8}{7.7} =5

ANSWER: The model would be 5 cotton swabs tall.
4 0
3 years ago
PLEASE help ASAP! BRAINLIEST to correct answer!
SIZIF [17.4K]

Answer:

ok so here is the answer:  n

hk

b

a

х

V

Angle a = 126. What is the measure of angle b? Explain how you calculated your answer.

Angle a = 126 Write an equation(s) in terms of b to find the measure of angle h.

Calculate the measure of angle h, using the equation(s) you wrote for Part B.

How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?

2021 Muminate Education Inc Your input: factor x2+4x+3.

To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

Solve the quadratic equation x2+4x+3=0.

The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).

Therefore, x2+4x+3=1(x+1)(x+3).

(x2+4x+3)=1(x+1)(x+3)

Step-by-step explanation:

4 0
3 years ago
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