Find the volume of the following rectangular pyramid.
10 cm
7 cm
4 cm

Answer:

LHS,

hope it helps.

Answer:

x=28.8

Step-by-step explanation:

using cosine

cos x= adjacent/hypotenuse

cos x = 71/81

cos x = 0.8765

make x subject of the formula

x= cos^-1 0.8765

x= 28.77699973

x≈ 28.8

The required value of x is 28.8 degrees for the right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown

We have to determine the value of x for the triangle.

As we know the cosine ratio is:

cos x = adjacent/hypotenuse

As per the question, substitute the known values in the above ratio,

cos x = 71/81

Apply the division operation,

cos x = 0.8765

Solve for x, and we get

x= cos⁻¹ (0.8765)

x = 28.77699973

x ≈ 28.8

Thus, the required value of x is 28.8 degrees.

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Answer:

2pi

Step-by-step explanation:

Right on edg assignment

Answer:

x = 14

Step-by-step explanation:

The polygon given has 6 sides

Sum of interior angles of a 6-sided polygon = 180(n - 2)

substitute n = 6 into 180(n - 2)

Sum of the polygon = 180(6 - 2) = 720°

Thus:

10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720

Add like terms

52x - 8 = 720

52x = 720 + 8

52x = 728

x = 728/52

x = 14

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

Answer:  1,953,125

This is one single value and it is just a bit under 2 million.

Or more accurately, it's a bit over 1.9 million.

===========================================================

Explanation:

Note that dividing any term by its previous term gets us the common ratio

The r value must stay the same the entire time, or else the sequence isn't geometric.

The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)

-----------------

To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.

If we tried n = 2 for instance, then we find the 2nd term is

5(-5)^(n-1) = 5(-5)^(2-1) = -25

which matches what your teacher gave you. I'll let you verify the other terms.

-----------------

The last thing we need to do is plug in n = 9 and simplify

5(-5)^(n-1)

5(-5)^(9-1)

5(-5)^8

5(390625)

1,953,125  this is one single value (rather than 3 separate values)

Answer: 107/100x

1.07x

Step-by-step explanation:

Since the price of the model is x dollars, and she also has to pay a 7% tax, the amount that Leila will pay in total for the model will be the addition of the price of the model and the tax. This will be:

= x + (7% × x)

= x + (7/100 × x)

= x + (0.07 × x)

= x + 0.07x

= 1.07x

This can also be 107/100x

Answer:

g(x) = f(x + 2)

Step-by-step explanation:

The x value has been translated by 2

Feel free to mark it as brainliest :D

Answer:

x = 18.4

y = 35º

Step-by-step explanation:

cos∅ = adj/hyp

cos49 = x/28

28cos49 = x

x = 18.4

tany = opp/adj

tany = 19/27

y = arctan19/27

y = 35º

Answer:

the answer is a!

Step-by-step explanation:

Answer:

step 3 didn't divide by 2

Step-by-step explanation:

in step

[tex] \frac{ - 8 + \sqrt{100} }{2} = \frac{ - 8 + 10}{2} = 1 \\ \frac{ - 8 - \sqrt{100} }{2} = \frac{ - 8 - 10}{2} = - 9[/tex]

Answer:

14,977.8946

Step-by-step explanation:

Answer: b d a

Step-by-step explanation:

B

D

A

Answer:

Area of shaded part = 113 mm² (Approx.)

Step-by-step explanation:

Given:

Diameter of Semi-circle = 24 mm

Find:

Area of shaded part

Computation:

Radius of semi-cicrle = Diameter of Semi-circle / 2

Radius of semi-cicrle = 24 / 2

Radius of semi-cicrle = 12 mm

So,

Radius of small circle = 12 / 2

Radius of small circle = 6 mm

Area of shaded part = Area of semi circle - Area of small circle

Area of shaded part = [πR² / 2] - [πr²]

Area of shaded part = [(3.14)(12)² / 2] - [(3.14)(6)²]

Area of shaded part = [(3.14)(144) / 2] - [(3.14)(36)]

Area of shaded part = 226.08 - 113.04

Area of shaded part = 113.04

Area of shaded part = 113 mm² (Approx.)

Answer:  

f

−

1

(

x

)

=

x

−

12

5

Step-by-step explanation:

Answer:

[tex]14 \ 100 \1800[/tex]

Answer:

B

Step-by-step explanation:

Answer:

40-10=30

Step-by-step explanation:

x-10=30

we are going to flip the problem which would make it addition so you would do 10+30=X and we can fill in the blank of x equalling 40 because 10+30 is 40

Answer:

x = 40

Step-by-step explanation:

x - 10 = 30

=> x = 30 + 10

=> x = 40

Answer:

either 22/60 or .3666 recurring

Step-by-step explanation:

All you are doing is converting minutes to hours basically, so all you have to do is divide 22 by 60.

Answer:i dont know

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Researchers must increase the response rate to achieve a narrower confidence interval. Because we see that the trust gap is inverse to sample size. We must increase data in estimating a narrower 95-percent trust range. Since the sample has increased, its error margin has decreased, this reduces the width of the trust interval.

Answer:

91% markup

Step-by-step explanation:

$43.20 divided by 36 is $1.20 per package

if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19

if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup

Answer:

10.5

Step-by-step explanation:

Answer:

[tex]Area =55.4ft^2[/tex]

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

[tex]\tan(60) = \frac{4\sqrt 3}{x}[/tex]

Solve for x

[tex]x = \frac{4\sqrt 3}{\tan(60)}[/tex]

[tex]\tan(60) = \sqrt 3[/tex]

So:

[tex]x = \frac{4\sqrt 3}{\sqrt 3}[/tex]

[tex]x = 4[/tex]

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

[tex]Base = 4\sqrt 3[/tex]

[tex]Height = 4[/tex]

So, the area of the rhombus is 4 times the area of 1 triangle

[tex]Area = 4 * \frac{1}{2} * Base * Height[/tex]

[tex]Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4[/tex]

[tex]Area =2 * 4\sqrt 3 * 4[/tex]

[tex]Area =55.4ft^2[/tex]

Answer:tanQ=

adjacent

opposite

​

=

24

7

​

≈0.2917≈0.29

Step-by-step explanation:

trust me bro

The value of the tangent of ∠Q is 0.96.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

∠S=90°, SR = 7, QS = 24, and RQ = 25.

Using Trigonometry

tan Q = P/ B

tan Q= 24/ 25

tan Q = 0.96

Thus, the value of tan Q is 0.96.

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Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{10 - 5}{20 - 15} \\ = \frac{5}{5} \\ = 1[/tex]

Answer:

Step-by-step explanation:

first: x+(1/4)

second: (-1/3 )x +1/4

third: (3/4)x +1/3

Answer: 1238.916

Step-by-step explanation:

A = (Bh)/3

B = 14.7 x 14.7

The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.