What is the volume of the regular pyramid?
576m
96 m
480 m
240 m

Answer:

Answer:

x = -3

y = 1

z = -2

Step-by-step explanation:

-2x + 3y + z = 7

-4x - y -2z = 15

x + 2y +3z = -7

|-2 3 1|

|-4 -1 -2|

|1 2 3|

Determinant of this from online determinant calculator is;

D = 21

For Dx, we have;

|7 3 1|

|15 -1 -2|

|-7 2 3|

Determinant of this from online determinant calculator is;

Dx = -63

For Dy, we have;

|-2 7 1|

|-4 15 -2|

|1 -7 3|

Determinant of this from online determinant calculator is;

Dy = 21

For Dz, we have;

|-2 3 7|

|-4 -1 15|

|1 2 -7|

Determinant of this from online determinant calculator is;

Dz = -42

From creamers rule;

x = Dx/D

y = Dy/d

z = Dz/d

Thus;

x = -63/21

x = -3

y = 21/21

y = 1

z = -42/21

z = -2

Thus,

x = -3

y = 1

z = -2

Answer:

15.6

Step-by-step explanation:

SOH -CHA-TOA

Tan = opp / adj

Tan(60) = 27/x

x = 27/tan(60)

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{9.3}{x}[/tex] ( multiply both sides by x )

x × tan60° = 9.3 ( divide both sides by tan60° )

x = [tex]\frac{9.3}{tan60}[/tex] ≈ 5.4 ( to the nearest tenth )

Answer:

Teresa tiene 1 chocolate.

Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:

1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.

Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:

2/3 - 1/4

recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:

(4/4)*(2/3) - (3/3)*(1/4)

(a cada fracción la multiplico y divido por el denominador de la otra)

8/12 - 3/12 = (8 - 3)/12 = 5/12

Es decir, Teresa finalmente tiene 5/12 del chocolate.

Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:

1 - 5/12 = 12/12 - 5/12 = 7/12

Ella repartió 7/12 de su chocolate.

La fracción de chocolate que repartió Teresa es 7/12

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]

That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we're provided that:

So, the total part she gave is addition of those fractions.

Total part of chocolate Teresa gave = 1/3 + 1/4

LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).

Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]

And their addition is:

[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]

Thus, the portion of the chocolate that Teresa distributed is 7/12.

Learn more about fraction addition here:

https://brainly.com/question/17544795

Answer:

0.9

Step-by-step explanation:

In order to get halfway between -0.5 and 2.3, first, we need to take their sum:

Sum of digits

Sum =  [tex]{-0.5+2.3}[/tex]

Sum =  [tex]1.8[/tex]

Take the average of the sum

Average = [tex]\frac{1.8}{2} = 0.9[/tex]

Hence the halfway between the numbers is 0.9

Answer:

The answer is "6 paper cups".

Step-by-step explanation:

Calculating the volume of cone:

[tex]V=\pi r^2 \frac{h}{3}[/tex]

   [tex]=3.14 \times 1.5^2 \times \frac{2}{3}\\\\=4.71239[/tex]

Calculating the volume of cylinder:

[tex]V=\pi r^2h[/tex]

   [tex]=3.14 \times 1.5^2 \times 4\\\\=28.27433[/tex]

Calculating the paper water cups:

[tex]=\frac{28.27433}{4.71239}\\\\= 5.99999788\\\\=6[/tex]

Answer:

D

Step-by-step explanation:

25×5=125

I hope it helps

Answer:

67.3

Step-by-step explanation:

Let x = unknown angle

Supplementary angles add up to equal 180

Hence 112.7 + x = 180

Solve for x

112.7 + x = 180

Subtract 112.7 from both sides

x = 67.3

An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]

Take the reciprocal of both sides:

[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]

Multiply both sides by 8:

[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]\displaystyle RX\approx 76.1149[/tex]

Hence, our answer is B.

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Answer:

1

Step-by-step explanation:

Answer:

C. ∆ABD ≅ ∆CBD by the SSS Postulate

Step-by-step explanation:

We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.

The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.

From the diagram shown,

AB ≅ CB,

AD ≅ CD

BD = BD

We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.

Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate

Answer: Triangles ABD and CBD are congruent by the SSS Congruence Postulate.

Hope it helps :)

Answer:

84 ft

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side / hypotenuse

sin 50 = y / 110  where y is the height above the ground

110 sin 50 = y

84.26488 = y

To the nearest foot

84 ft

Answer:

84 feet

Step-by-step explanation:

Since you are given an angle and the length of hypotenuse, you can use the trigonometric function sine.  

sinθ = opposite length / hypotenuse length

sin (50) = x / 110

sin(50) * 110 = x

~84 feet

Answer:

sin C = 12/13

Step-by-step explanation:

Since this is a right triangle

Sin C = opp side / hypotenuse

sin C = 36/39

sin C = 12/13

Answer:

2

Step-by-step explanation:

f(x)=x^2+1

now,

f(1)=1^2+1

=1+1

=2

Answer:

∠2 ≅ ∠B

Step-by-step explanation:

Let the triangle be ABC,

Given that,

∠A = 50°

∠C = 65°

Using angle-sum property of the triangle,

∠A + ∠B + ∠C = 180°

50° + ∠B  + 65° = 180°

∵ ∠B = 65°         ...(i)

A.T.Q.

Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.

Since the adjacent angles comprising a straight line is equals to 180°.

so,

∠2 + 50° + 65° = 180°

∠2 + 115° = 180°

∠2 = 180° - 115°

∵ ∠2 = 65°   ...(ii)

Using (i) and (ii),

∠2 ≅ ∠B

Therefore, ∠2 and ∠B are congruent to one another.

Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.

Step-by-step explanation: its the sample response

Answer:

Don't know

Step-by-step explanation:

Translate it into English

Answer:

20

Step-by-step explanation:

There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third

6*5*4

But order doesn't matter

Divide by the number of items factorial

3! = 3*2*1 = 6

6*5*4

--------

6

20

Answer:

PV = nRT

Step-by-step explanation:

The ideal gas equation says that the product of the pressure, P, and the volume of a gas, V, is equal to the number of miles of the gas,n, times the gas constant, R, times the temperature of gas,T.

which of the following equations is equivalent to the ideal gas equation?

P = pressure

V = volume

n = number of miles

R = gas contact

T = Temperature

Products means multiplication (×)

Times means multiplication (×)

product of the pressure, P, and the volume of a gas, V = P × V

number of miles of the gas,n, times the gas constant, R, times the temperature of gas,T = n × R × T

Therefore,

P × V = n × R × T

PV = nRT

The ideal gas equation is PV = nRT

Answer:

T=PV/nR

Step-by-step explanation:

this is the answer for edmentum

Hi!

[tex]A=(-1,-3) \ and \ B=(11,-8)\\\\|AB|=\sqrt{(11-(-1))^2+(-8-(-3))^2}\\\\|AB|=\sqrt{(11+1)^2+(-8+3)^2}\\\\|AB|=\sqrt{12^2+(-5)^2}\\\\|AB|=\sqrt{144+25}\\\\|AB|=\sqrt{169}\longrightarrow\boxed{|AB|=13}[/tex]

Answer:

d=13

Step-by-step explanation:

the steps are in the pics below

Answer:

24/91

Step-by-step explanation:

6 red socks and 8 black = 14 socks

P( red) = red/total = 6/14 = 3/7

Keep the red sock

5 red socks and 8 black = 13 socks

P(black) = black / total = 8/13

P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91

Answer:

16 × X + 3=

Step-by-step explanation:

u will get your answer

Answer:

Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).

Answer:

114.89 degrees

245.11 degrees

Step-by-step explanation:

cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).

so, the first answer for the second quadrant is

114.89 degrees.

the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation

360 - 114.89 = 245.11 degrees

Answer:

x = 2

Step-by-step explanation:

Given

- 3 + 6x = 25 - 8x ( add 8x to both sides )

- 3 + 14x = 25 ( add 3 to both sides )

14x = 28 ( divide both sides by 14 )

x = 2

Answer:

x = 2

Step-by-step explanation:

-3 +6x = 25 -8x

Add 8x to each side

-3 +6x+8x = 25 -8x=8x

-3+14x = 25

Add 3 to each side

-3+3+14x = 25+3

14x = 28

Divide by 14

14x/14 = 28/14

x = 2

Answer:

A- The mean, because the data distribution is symmetrical

Step-by-step explanation:

When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of  centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.

answer ..........(114,0.16)

Answer:

I dont mind answering but what is the question comment the question and i will solve it for you ;)

Answer:

52

Step-by-step explanation:

It is given that the picnic spot is in the Plainview. The picnic spot is also located between the md point of the places Lubbock and Amarillo.

In the figure the sign shows that from the place where we are standing,

-- the distance to Lubbock = 5 units

-- the distance to Plainview = 52 units

-- the distance to Amarillo = 128 units

So, form this we can say that the distance from the sign board to the picnic area in Plainview is 52.

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.