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3 years ago

The length of each side of the equilateral triangle is 10. what is the length of altitude h?

Mathematics

1 answer:

vova2212 [387]3 years ago

8 0

Answer:

30?

Step-by-step explanation:

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In Exercises 1–6, write the first five terms of the sequence whose th term is given.

Vadim26 [7]

Answer:

Step-by-step explanation:

1. Un = 3^ n

U1 = 3, U2 = 9, U3 = 27, U4 = 81, U5 = 243

2. Un = (-2/5)^n

U1 = -2/5, U2 = 4/25, U3 = 8/125, U4 = 16/625, U5 = 32/3125

3. Un = sin npi/2

U1 = 1, U2 = 0, U3 = -1, U4 = 0, U5 = -1

4. Un = 3n/n+4

U1 = 3/5, U2 = 1, U3 = 9/7, U4 = 3/2, U5 = 5/3

5. Un = (-1)^n+1(2/n)

U1 = 1, U2 = 2, U3 = -1/3, U4 = 3/2, U5 = -3/5

6. Un = 2 + 2/n - 1/n^2

U1 = 3, U2 = 11/4, U3 = 23/9, U4 = 39/16, U5 = 59/25

7 0

3 years ago

Find the two square roots of 144.

spin [16.1K]

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.

Two ways to look at it.

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

4 0

3 years ago

Read 2 more answers

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-inte

chubhunter [2.5K]

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

6 0

3 years ago

Arrange the pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40)

gavmur [86]

Answer: m1 = 0.5

M2= 0.375

M3 = 2.25

M4 = 3.0

M5 = 13.5

M6 = 0.285

M7 = 7.0

Step-by-step explanation:

(20,40)-(15,30)=(5,10), m1=5/10=0.5

(18,48)-(12,32)=(6,16), m2=3/8=0.375

(72,32)-(27,12)=(45,20), m3=9/4=2.25

(60,20)-(45,15)=(15,5), m4=3.0

(243,18)-(27,2)=(216,16), m5=27/2=13.5

(24,84)-(18,63)=(6,21), m6=2/7=0.285...

(84,12)-(63,9)=(21,3), m7=7.0

4 0

3 years ago

please help!!!!! what will be the balance in an account that was initially $400 and has been drawing 5.5% interest compounded co

Viktor [21]

Answer:

$621.08

Step-by-step explanation:

The formula for the amount (A) resulting from principal P being invested at rate r continuously compounded for period t is ...

A = Pe^(rt)

Filling in the given numbers and doing the arithmetic, we get ...

A = $400e^(0.055·8) ≈ $621.08

4 0

3 years ago