Give step by step instructions and the final answer on how to find the volume of a right square pyramid who has a slant height of 5 inches and the length of the base is 4 inches

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

Answer:

240 miles

Step-by-step explanation:

1/2 + 1/2 + 1/2 + 1/2 = 2

60 + 60 + 60 + 60     or      60 * 4 = 240

Answer:

35/14

Step-by-step explanation:

Volume = 4 * h * 7 / 2 = 14h

35/14 = h

Answer:

the second one

Step-by-step explanation:

Answer:

Hope that answers your question

if I remember correctly, it’s the first one

This is the same as y = x+13

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Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

Answer:

-5x^5 + 2x^3 - 6x should be your answer

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35 dogs

Step-by-step explanation:

The ratio of cats to dogs can also be written as

3/5 = 21/x

x = 35

Answer:

8 is greater then -4

Step-by-step explanation:

Answer: Divide by -4 in the both sides, and change the sign < to >.

Step-by-step explanation:

Step-by-step explanation:

(-1,3)

just move the point over 5 lines and then up 4 lines. or

4-5 = -1

-1 +4=3

Answer:

143.3 degrees and 323.3 degrees

Step-by-step explanation:

Given the equation

3tanA +√5 = 0

3tanA = -√5

tanA =-√5/3

tanA = (-0.7454)

A = arctan(-0.7453)

A = -36.699

Since tan is negative in 2nd and 4th quadrant

A = 180 - 36.699

A = 143.3 degrees

In the fourth quadrant

A = 360 - 36.699

A = 323.3degrees

Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees

Answer:

81 / 64

Step-by-step explanation:

The ratio of the areas can be obtained thus :

Area of ∆ABC / Area of ∆PQR

Area of ∆ABC / Area of ∆PQR = AB² / PQ²

AB = 1.8 ; PQ = 1.6

AB² / PQ² = 1.8² / 1.6²

= 18² / 16²

= 324 / 256

= 81 / 64

Step-by-step explanation:

I hope that this helps:)

x-6+9x=10x-4

10x-6=10x-4

-6=-4

Tha statement is false for any value of x

x=0 no solution

Answer:

When y = 4, x is equal to 39

Step-by-step explanation:

The given parameters are;

x = a + b + 4

a ∝ 1/y²

b ∝ 1/(1/y) = y

When y = 2, x = 18

When y = 1, x = -3

Therefore, we have;

a·y² = j

a = j/y²

b ∝ 1/(1/y)

∴ b ∝ y

b = k·y

When y = 2, x = 18, we have;

a = j/y² = j/2² = j/4

b = k·y = k·2

x = a + b + 4

∴ 18 = j/4 + k·2 + 4...(1)

When y = 1, x = -3, we have;

a = j/y² = j/1² = j

b = k·y = k·1 = k

x = a + b + 4

∴ -3 = j + k + 4...(2)

Making 'j', the subject of equation (1) and (2) gives;

From equation (1), we have;

18 = j/4 + k·2 + 4

∴ j = (18 - 4 - k·2) × 4 = 56 - 8·k

From equation (2), we have;

-3 = j + k + 4

∴ j = -3 - 4 - k = -7 - k

Equating the two values of 'j', gives;

56 - 8·k = -7 - k

56 + 7 = 8·k - k

63 = 7·k

k = 63/7 = 9

k = 9

From equation (2), we get;

-3 = j + k + 4

k = 9

∴ -3 = j + 9 + 4

j = -3 - 9 - 4 = -16

j = -16

When y = 4, we get;

x = a + b + 4

a = j/y²

b = k·y

∴ x = j/y² + k·y + 4

Plugging in the values of 'j', and 'k' and y = 4, gives;

x = (-16)/y² + 9·y + 4

∴ x = (-16)/4² + 9 × 4 + 4 = 39

x = 39

Therefore;

When y = 4, x = 39.

Answer:

3, 50, 2

Step-by-step explanation:

By multiplying all terms by 5, we are trying to remove the fraction on the left hand side. On the right hand side of the equation, expand the bracket by multiplying 5 to each term in the bracket.

3(n +25)= 5(10) +5([tex] \frac{2}{5} n[/tex])

3(n +25)= 50 +2n

To find the value of n, expand the bracket on the left hand side:

3(n) +3(25)= 50 +2n

3n +75= 50 +2n

Bring all n terms to one side, constants to the other:

3n -2n= 50 -75

n= -25

Answer:

a)  y = 2 x - 1

b)  y = - x + 7

c)  y = 7 x + 2

Step-by-step explanation:

Use a pair of (x1, y1) and (x2, y2) points to find the equation of the line for each tables:

a) (5, 9) and (10, 19)

slope: (y2 - y1) / (x2 - x1) = (19 - 9) / (10 - 5) = 10 / 5 = 2

Then  y = 2 x + b

solve for b in:  9 = 2 (5) + b

b = 9 - 10 = -1

Then   y = 2 x - 1

b) (2, 5) and (5, 2)

slope: (y2 - y1) / (x2 - x1) = (2 - 5) / (5 - 2) = -3 / 3 = -1

Then  y = - x + b

solve for b in:  5 = - (2) + b

b = 5 + 2 = 7

Then   y = - x + 7

c) (3, 23) and (6, 44)

slope: (y2 - y1) / (x2 - x1) = (44 - 23) / (6 - 3) = 21 / 3 = 7

Then  y = 7 x + b

solve for b in:  23 = 7 (3) + b

b = 23 - 21 = 2

Then   y = 7 x + 2

Answer:

pretty sure its equation, if its wrong im sorry!

Answer:

gds

Step-by-step explanation:

hgfdz

b

Answer:

it's cosine

Step-by-step explanation:

cos45° = x/17

Answer:

zeros and AoS

Step-by-step explanation:

zeros, x = (1 , -7)

AoS:x =-1

Answer:

30.96 m^2

Step-by-step explanation:

Side length of the square is also the diameter of the semicircle so:

r = 0.5 * 12 m = 6 m

Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:

Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area

(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)

= 144 - 56.52 - 56.52

= 30.96 m^2

Answer:

13.33 hours

Step-by-step explanation:

[tex]\frac{12}{360} =\frac{x}{400} \\\\360x=4800\\x= 13.33[/tex]

Answer::::::::::

21.94cm^2

Answer:

Slope = 2

Step-by-step explanation:

Rise = 2

Run = 1

Rise/Run = 2/1 = 2

Answer: you will either Add or Multiply

Step-by-step explanation: