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Furkat [3]
3 years ago
9

Question 4 of 10

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

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What is the nth term rule for the liner sequence below 15,7,-1,-9,-17
Volgvan

Answer:

-8n+7

Step-by-step explanation:

the difference between the values is 8, as it decreases by 8, it withh be 8n

It does not start at 8 though, so you do 15-8 to find the different which is added on which is 7 in this case

8 0
2 years ago
The highlighted bottom layer of the prism has a volume of what is the volume of the prism?
Dimas [21]

Answer:

36

Step-by-step explanation

3 x 3 x 4=36

7 0
3 years ago
5x + 2y=7<br> - 2x + 6y=9
ollegr [7]

Answer:

x = \frac{12}{17} or 0.706

y = \frac{59}{34} or 1.735

Step-by-step explanation:

5x + 2y=7    ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7  

15x + 6y = 21  ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = \frac{12}{17}

put x = \frac{12}{17} in (eq 1)

5*\frac{12}{17} + 2y = 7

2y = 7- 5*\frac{12}{17}

2y = \frac{7*17 - 60}{17}

2y = \frac{119- 60}{17}

2y = \frac{59}{17}

y = \frac{59}{17*2}

y = \frac{59}{34}

6 0
3 years ago
How has the green figure been transformed to form the red figure?
Anastasy [175]

answer:

it was translated 5 units to the right and 2 units up

step-by-step explanation:

  • you can find the answer comparing each of the points
  • just look at the direction they go in
4 0
3 years ago
Meghan earns 20.00 dollars by walking dogs. She uses all of her earnings to buy a shirt for 12.85 dollars and some stickers for
PIT_PIT [208]

Answer:

She bought 11 stickers

Step-by-step explanation:

20 - 12.85

7.15

then

7.15/0.65

11

6 0
3 years ago
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