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3 years ago

12

Rory found that 4/12 of the trading cards in his collection that are hockey cards. in simplest form, which fraction of rorys car

ds are hockey cards

1 answer:

elena-s [515]3 years ago

4 0

1/3 of his cards are hockey cards

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Solve tan 10 - tan 50 +tan 70 with trigonometry.

Jobisdone [24]

Below is the solution, I hope it helps.

<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)

= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}

ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:

= 8*tan(10)/{1 - 3*tan²(10)}

iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)

= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}

= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}

= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}

= 3*tan(30) = 3*(1/√3) = √3 [Proved]

[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>

7 0

3 years ago

the volume of a rectangular dog kennel is modeled by the polynomial x3 +14x2 +60+72. If the height of the kennel is modeled by (

grandymaker [24]

Answer: I don’t really know

7 0

3 years ago

Malik joins a gym. He gets $2 per month of the regular monthly rate for 3 months. Malik pays $49.50 for 3 months. What is the gy

Cloud [144]

Answer:

$18.50

Step-by-step explanation:

$49.50/3months=$16.50

$16.50+$2=$18.50

3 0

2 years ago

Read 2 more answers

Helpp I'm struggling

Alona [7]

Answer:

The surface area is $198.75\ ft^2$

Step-by-step explanation:

<u>Step 1: Determine the area of the bottom</u>

$A = s^2$

$A = (7.5\ ft)^2$

$A = 56.25\ ft^2$

<u>Step 2: Determine the area of the triangles</u>

$A = \frac{h * b}{2}$

$A = \frac{9.5\ ft * \frac{7.5\ ft}{2}}{2}$

$A=\frac{9.5\ ft*3.75\ ft}{2}$

$A = 17.8125\ ft^2$

There are two of these right triangles on every side which means that we have 8 of these triangles so we multiply the area that we got by 8.

$A = 17.8125\ ft^2 * 8$

$A=142.5\ ft^2$

<u>Step 3: Combine the area to get the surface area</u>

$A_{total}=56.25\ ft^2+142.5\ ft^2$

$A_{total}=198.75\ ft^2$

Answer: The surface area is $198.75\ ft^2$

7 0

2 years ago

Elimination of <br> x-y=11<br> 2x+y=19

Scorpion4ik [409]

Ggeasy

we can eliminate the y terms by adding the equations

x-y=11
<u>2x+y=19 +</u>
3x+0y=30

3x=30
divide by 3
x=10

subb ack
x-y=11
10-y=11
minus 10 both sides
-y=1
times -1
y=-1

(x,y)
(10,-1)

6 0

3 years ago