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Answer:

C

Step-by-step explanation:

Base area = n^2

V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)

The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the base edge length of the solid pyramid be = n units

So , the base area of the pyramid = n² units²

Let the height of the pyramid be = ( n - 1 ) units

And , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

V = ( 1/3 ) n² ( n - 1 ) units³

Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³

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Answer:

x = 2√2

Step-by-step explanation:

Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.

Now, since we see that it is also a right angled triangle, it means one angle is 90°.

Let the equal angles be a.

Thus;

a + a + 90 = 180 (since sum of angles in a triangle is 180)

2a + 90 = 180

2a = 180 - 90

2a = 90

a = 90/2

a = 45°

Now, using sine rule, we can find x. Thus;

x/sin 45 = 4/sin 90

sin 90 = 1

sin 45 = 1/√2

Thus;

x = (4 × 1/√2)/1

x = 4/√2

Let's rationalize the denominator to get;

x = (4/√2) × √2/√2

x = (4√2)/2

x = 2√2

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Answer:

  B) if the x-coordinate is negative, the cosine will equal a negative value

Step-by-step explanation:

The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.

  if the x-coordinate is negative, the cosine will be negative

Answer:

3/4

Step-by-step explanation:

Answer:

I think the answer is 4/8 ✨

Answer:

tan A = 4 / 7

Step-by-step explanation:

tan A = opp side / adjacent side

tan A = 4 / 7

Answer:

cosθ = 7/25

Step-by-step explanation:

To find hypotenuse, you use Pythagorean's Theorem.

a^2+b^2=c^2

7^2+24^2=c^2

625=c^2

25=c

This means cosθ = 7/25

Answer:

En total hay 36 gallinas en el gallinero.

Step-by-step explanation:

Dado que si en un gallinero contamos los picos, las crestas y las patas obtenemos 144, para determinar cuántas gallinas hay sabiendo que cada gallina tiene un pico, una cresta y dos patas, se debe realizar el siguiente cálculo:

X + X + 2X = 144

4X = 144

X = 144 / 4

X = 36

Por lo tanto, en total hay 36 gallinas en el gallinero.

[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]

[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]

[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]

Since bases i.e 6 are same exponents are equal

4x+10= 3x-3

4x-3x = -3-10

x= -13

Answer:

x = -13

Step-by-step explanation:

36 = 6^2

216 = 6^3

36^(2x + 5) = 6^(2)^(2x + 5)

When taking an exponent to an exponet: multiply the exponents

36^(2x + 5) = 6^(4x + 10)

216^(x - 1) = 6^(3)^(x - 1)

When taking an exponent to an exponet: multiply the exponents

216^(x - 1) = 6^(3x - 3)

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

Therefor

6^(4x + 10) = 6^(3x - 3)

Since the bases are the same the exponents are equal

4x + 10 = 3x - 3

Subtract 3x from both sides

x + 10 = -3

subtract 10 from both sides

x = -13

Answer:

D. H_0: μ > = 3 vs. H_1: μ < 3

Step-by-step explanation:

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam.

The claim is that the average student spends 3 hours studying, so the null hypothesis is that the mean is at least 3, that is:

[tex]H_0: \mu \geq 3[/tex]

At the alternative hypothesis, we test if the mean is less than 3, so:

[tex]H_1: \mu < 3[/tex]

This means that the correct answer is given by option D.

Answer:

The answers are

angle KHM and

angle MHK

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Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  [tex]e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}[/tex]

Answer:

18 inches

Step-by-step explanation:

just FYI this is using base and height this is not trigonometry or diagonals but whenever you want to find the area of a parallelogram you have the base times the height and so you have the formula A= B * H but here you want to find the base so we divide the area by the height since those are your givens

A/H=B

108/6=18

Answer: $678.83

Step-by-step explanation:

A = P(1 + r/n)nt

A = 600.00(1 + 0.0309/12)(12)(4)

A = 600.00(1 + 0.002575)(48)

A = $678.83

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm

Answer:

[tex]x=5,\\AC=14[/tex]

Step-by-step explanation:

Since one triangle is inscribed in another, the two triangles are similar. As marked in the diagram, the sides of the larger triangle are exactly two times larger than the corresponding sides of the smaller triangle.

Therefore, we have:

[tex]2(x+2)=4x-6,\\2x+4=4x-6,\\10=2x,\\x=\boxed{5}[/tex]

Since AC is marked by [tex]4x-6[/tex]:

[tex]AC=4(5)-6,\\AC=20-6,\\AC=\boxed{14}[/tex]

Answer:

I think B

Step-by-step explanation:

121.346° is more close to 121.3°, than 121.4°

if i'm wrong, the i'm sorry

Answer:

I reckon it's B ........

Answer: The answer is A, B, and D.

Step-by-step explanation: I just did it on USATestPrep

Answer:

See image below:)

Step-by-step explanation:

The x and y intercept is -4 or -6 and -16 respectively.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function: f(x)=- 4|x+5|+4

So, 0= -4|x+5|+4

    -4|x+5|=-4

    |x+5|=1

 x= -6 or -4.

 then y=-20+4

        y=-16

Hence, the intercepts are -6 or -4 and -16.

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Answer:

essentially the question is if

[tex] \frac{14}{8} or \ \: \frac{12}{7} [/tex]

is more

we can express the two fractions as 98/56 and 96/56

(56 is just 7*8)

now we can see that 14/8 is slightly more than 12/7, Drink a is your answer

Answer:

f(x) = |x|+48 would make the vertex be (0,48)

Step-by-step explanation:

Since the y-coordinate changed, this means that only vertical shift could have occured. Therefore, 48 must've been added to |x|.

Answer:

what next five shapes in the pattern

Answer:

I can make one up for you

Square , Circle ,  Square , Prism ,  Sphere , Cone , Semi-Circle , Square , Circle,

What are the next 5 shapes ?

Step-by-step explanation:

Answer:

3x + 7

Step-by-step explanation:

Answer:

14 shirts, 15 caps

Step-by-step explanation:

15 x 14 = 210$

14 × = 154$

210+154 = 364$

Answer:

D.  972 ft^2

Step-by-step explanation:

SA = 2B + PH

where SA = total surface area of the prism,

B = area of a base

P = perimeter of the base

H = height of the prism

SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)

SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)

SA = 972 ft^2

Answer:

r = 22.9 in.

Step-by-step explanation:

Central angle in radians, ∅ = π/4

Length of arc, S = 18 in.

radius (r) = ?

Length of arc, C = r∅

Plug in the values and find r

18 = r*π/4

18 = (πr)/4

Multiply both sides by 4

4*18 = πr

72 = πr

Divide both sides by π

72/π = r

r = 22.9183118

r = 22.9 in. (Nearest tenth)

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

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

Answer:

x：y：z

1：4

4：5

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

1：4：5

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

let a:b:c＝k:4k:5k

k+4k+5k=50

10k=50

k=5

y=4(5)

=20(D)

Answer:

D. 20

Step-by-step explanation:

x:y:z

1:4:5

1+4+5=10

50÷10=5

1=5

4=?

4=4×5

=20

Answer:

Step-by-step explanation:

Hope this helps u!!