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deff fn [24]
3 years ago
12

This is a 30-60-90 triangle.

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

x = \frac{2\sqrt{21}}{3}

Step-by-step explanation:

For a 30-60-90 triangle:

  • Short leg = s
  • Long leg = s√3
  • Hypotenuse = 2s

Thus:

  • Short leg = √7/√3 = (√21)/3
  • Long leg = √7
  • Hypotenuse = x = 2(√21)/3
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there are 2.54 centimeters in 1 inch. how many centimeters are there in 1 foot? in 1 yard? explain your reasoning
AVprozaik [17]

Answer:

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1 yard = 91.44 centimeters

Step-by-step explanation:

If there are 2.54 centimeters in an inch, and 12 inches in a foot, then you need to multiply 2.54 by 12.

Their are 36 inches in a yard so you need to multiply 2.54 by 36

3 0
3 years ago
Cable company A charges $45 a month for cable plus a $18 installation fee. Cable B charges $39 a month for cable plus a $30 fee
blagie [28]

Question

Cable company A charges $45 a month for cable plus a $18 installation fee. Cable B charges $39 a month for cable plus a $30 fee for installation. Which inequality can be used to find out when the monthly cost for Cable company A is less than Cable company B?

a)39x+30<45x+18

b) 45x+18>39x+30

c) 45x+18<39x+30

d)39x+18<45x+30

Answer:

c) 45x+18<39x+30

Step-by-step explanation:

Step 1

We have to find the Algebraic expressions for the cable companies

Cable company A charges $45 a month for cable plus a $18 installation fee.

Let the number of months be represented as x

Hence, this is represented as:

$45 × x + $18

= 45x + 18

Cable B charges $39 a month for cable plus a $30 fee for installation.

Let the number of months be represented as x

Hence, this is represented as:

$39 × x + $30

= 39x + 30

The inequality that can be used to find out when the monthly cost for Cable company A is less than Cable company B?

= Cable company A < Cable company B

= 45x + 18 < 39x + 30

Therefore option c is correct

8 0
3 years ago
Two lines intersect to form a linear pair with equal measures. One angle has the measure 9x° and the other angle has the measure
VARVARA [1.3K]
My understanding is that the 2 angles add up to 180 degrees, so 9x+9y-54=180. Also, 9x=90 and 9y-54=90. 9x=90, so x=10. 9y=90+54. 9y=144. y=16. 


4 0
3 years ago
Use synthetic division and the remainder theorem to find P(-3) if P(x)=x^4 + 19x^3 + 108x^2 + 236x + 176.
Luda [366]
I think i am correct............

4 0
3 years ago
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