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3 years ago

What is the length of the altitude

Mathematics

1 answer:

egoroff_w [7]3 years ago

4 0

There are a few ways you could go about this. One way is to use sin 60 to calculate the value of a. In other words, sin 60 = a / 8sqrt(3). Simplifying that you should get a = 12.

So F should be the right answer.

Cheers and good luck

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Ashley is making cookies for the party. Each batch of cookies takes 0.75 cup of sugar. If she

____ [38]

Answer:

5/25

Step-by-step explanation:

she will need 5.25 sugar if she mak eit with batches

5 0

3 years ago

The owner of a busy coffee shop wanted to see if it was worth keeping tea on the menu. She logged the number of cups of tea she

Nimfa-mama [501]

Answer:

mean = 7

median = 7

range = 9

mid range = 7.5

Step-by-step explanation:

3, 5, 6, 7, 7, 9, 12

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

12 - 3 = 9

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

3, 5, 6, 7, 7, 9, 12

median = 7

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(6 + 12 + 5 + 7+ 7 + 3 + 9) / 7 = 7

Mid range = (highest value + lowest value) / 2

(12 + 3) / 2 = 7.5

8 0

3 years ago

Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

C + 1/4c please help me i need this done now

abruzzese [7]

Answer:

$1\frac{1}{4} c$

Step-by-step explanation:

$c+\frac{1}{4}c$

Rewrite the expression

$= 1c+\frac{1}{4} c$

Add

$= 1\frac{1}{4} c$

Therefore, $c+\frac{1}{4}c$ is equal to $1\frac{1}{4} c$ .

I hope this helps!

5 0

3 years ago

Find the size of each interior angle of a regular hexagon

Serhud [2]

Answer:

Each interior angle = 180° -60° = 120°

Step-by-step explanation: We know that the three angles in a triangle, add up to 180°, and all the three angles are 60° in an equilateral triangle. The total number of angles of an enclosed space is 180° (n-2) where in is the number of sides.
A hexagon has six sides, so: s= 180° (6-2)

s= 180° x 4

s= 720°

now since in a regular shape, each interior angle is equal. We just divide the total interior angle with a number of sides

720° divided by 6 is equal to 120°

8 0

1 year ago