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3 years ago

IN the 30-60-90 triangle below, side s has a length of ? and side q has a length of ?

Mathematics

1 answer:

scZoUnD [109]3 years ago

7 0

The ratios for 30:60:90 are x:sqrt(3)x:2x

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Write an equation in slope intercept form (y=mx+b) for the graph below

mojhsa [17]

Answer:

y=-x+2

Step-by-step explanation:

Y intercept = 2

Slope = -1/1 = 1

y=-1x+2

Simplified

y=-x+2

4 0

3 years ago

A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the

Wittaler [7]

Answer:

The surface area of the given pyramid is 112 $inches^{2}$ .

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = $length^{2}$

= $4^{2}$

= 16

Area of its base = 16 $inches^{2}$

Area of one of its triangular surface = $\frac{1}{2}$ x base x height

= $\frac{1}{2}$ x 4 x 12

= 2 x 12

= 24 $inches^{2}$

Area of all its four triangular surfaces = 4 x 24

= 96 $inches^{2}$

surface area of the pyramid = sum of areas of all its surfaces

= 16 + 96

= 112 $inches^{2}$

The surface area of the given pyramid is 112 $inches^{2}$ .

8 0

3 years ago

Simplify: 3(6+6i)+i(6+6i)

GuDViN [60]

Answer:

the answer is 12+24i

6 0

3 years ago

Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25

denis-greek [22]

Answer:

D.) {256,64,16,4,...}

Step-by-step explanation:

Look for the sequence in which adjacent terms are related by a common ratio.

A. 10/6 ≠ 6/2

B. 9/5 ≠ 5/3

C. 8/4 ≠ 24/8

D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4

6 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Verdich [7]

Answer:

A) -18, 3, 24, 45, ... f(1) = -18, f(n) = f(n-1) + 21 for n = 2,3,4,5,...

B) 11, 33, 55, 77, ... f(1) = 11, f(n) = f(n-1) + 22 for n>1

C) -18, -108, -648, -3,888, ... f(1) = -18, f(n) = f(n-1) * 6 for n> 1

Step-by-step explanation:

-18, 3, 24, 45, ...

Let's take look at the possible difference patterns between terms:

-18 -> 3 ==> +21 or /-6

3 -> 24 ==> +21 or *8

We see we have a common pattern possible... +21

Which is confirmed from 24 to 45.

So the function will be f(1) = -18 of course

f(n) = f(n-1) + 21 for n = 2,3,4,5,...

11, 33, 55, 77, ...

Let's take a look at the possible difference patterns here again:

11 --> 33 ==> +22 or *3

33 --> 55 ==> + 22 or *5/3

Again, pattern of +22 confirmed with 55 -> 77

f(1) = 11

f(n) = f(n-1) + 22 for n>1

-18, -108, -648, -3,888, ...

Possible patterns:

-18 --> -108 ==> -90 or *6

-108 --> -648 ==> -540 or *6

Pattern of *6 confirmed with -648 and -3,888.

f(1) = -18

f(n) = f(n-1) * 6 for n > 1

8 0

3 years ago