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3 years ago

In the triangle, the length of side a is 5 ft., and m∠A=60°. Find the exact lengths of sides b and c.

Mathematics

2 answers:

ivann1987 [24]3 years ago

8 0

Answer:

b = $\frac{5\sqrt{3} }{3}$

c = $\frac{10\sqrt{3} }{3}$

Step-by-step explanation:

$\frac{5}{\sqrt{3} } =\frac{5\sqrt{3} }{3}$ side b

$\frac{5\sqrt{3} }{3} . 2= \frac{10\sqrt{3} }{3}$ side c

Ivanshal [37]3 years ago

6 0

Answer:

Lengths of B and c are 5 ft

Step-by-step explanation:

Since ∆is an equilateral ∆

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Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)

Marrrta [24]

Answer:

(n-2)180

Step-by-step explanation:

Let us assume the number of sides is 'n'.

So,

The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180

4 0

2 years ago

If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?

Anon25 [30]

Answer:

Option 3, p(0) = -10

Option 4, p(10) = 0

Step-by-step explanation:

Step 1: Check

x - 10 + 10 = 0 + 10

x = 10

f(0) = 0 - 10 = -10

x = -10

p(10) = 0

Answer: Option 3, p(0) = -10, Option 4, p(10) = 0

4 0

3 years ago

Read 2 more answers

Provide one reason for when you can use the distance formula.

Pepsi [2]

Answer:

Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.

6 0

3 years ago

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the

pychu [463]

Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height

Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7

9 years after it was planted: 16 feet
so x= 9 y=16

With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )

Now we can make the equation
y = 3x -11

7 0

3 years ago

Please help

earnstyle [38]

Please consider the graph of the sphere.

We know that the volume of sphere is equal to $\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is $\frac{30}{2}=15$ inches.