Find the value of x.
390
107°
to

Answer:

34 m²

Step-by-step explanation:

Given,

Height ( h ) = 17 m

Base Area ( A ) = 6 m²

To find : Volume of Pyramid

Formula : -

Volume of Pyramid = Ah / 3

Volume of Pyramid

= 17 x 6 / 3

= 17 x 2

= 34 m²

Hence,

The Volume of pyramid is 34 m².

Answer:

64x^2-9........

Step-by-step explanation:

(8x+3(8x-3)

Step-by-step explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

The equation of the transformed function is y = (-5x)³.

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of modifying a shape's size or position.

we have, Function

y = x³

Scale factor = 1/5

Now, stretch the function horizontally by factor 1/5 then

y = (5x)³

Now, reflection of graph about y axis result change x to -x.

y = (-5x)³

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By using the Pythagorean identity the value of tan [tex]\theta[/tex] will be ∞.

tan [tex]\theta[/tex] = ∞.

Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. The fundamental identity states that for any angle [tex]\theta[/tex],

[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]

By Pythagorean Identity we have,

we have, [tex]sin \theta \; = \; -1[/tex]

So, [tex](-1)^{2} \; + \; cos^{2}\; \theta =\; 1[/tex]

[tex]\; cos^{2}\; \theta =\; 1 - \; 1[/tex]

[tex]cos^{2}\; \theta =0[/tex]

[tex]cos\; \theta =0[/tex]

Now, we know that

[tex]tan \; \theta= \frac{sin\; \theta}{cos\; \theta}[/tex]

        =  [tex]\frac{-1}{0}[/tex]

  [tex]tan \; \theta=[/tex] ∞....................... (1)

Again, tan [tex]90^{0}[/tex] = ∞

If we compare from equation (1), we have

[tex]\theta = 90^{0}[/tex]

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Answer:

2c+12

Step-by-step explanation:

I aced maths class

Answer:

see below

Step-by-step explanation:

5t+9t and 14t

Becuase the two numbers have the same variable, you can add them together. The exponents do not change.

5+9=14

5t+9t= 14t

Answer:

5t +9t is equivalent to 14t

5t -9v is not equivalent to 9v-5t

5(9t-5) is not equivalent to 45t-5 because 5(9t-5) is 45t-25

t +t + t +v is not equivalent to 4tv

Answer:

6 and 15

Step-by-step explanation:

n1 + n2 = 21

2(n1) + 3 = n2

n1 = 6

n2 = 15

6 + 15 = 21

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean is 83%, standard deviation = 4.2%, for x = 81.8:

z = (81.8 - 83)/4.2 = -0.29

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

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Answer:

I cannot see number 5 question there are many question please clarify

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

Bisect means to divide it into two, so you can draw a line such that both resulting sides are 45 degrees.

Answer: 16.8

Step-by-step explanation:

2:25 = X:210

210/25 = 8.4

Multiply 8.4 by 2

Answer:

9.1

Step-by-step explanation:

9.1 times 5.2 = 47.32

47.32 divided by 2 = 23.66

The length of the base of the triangle is, 9.1 inches

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The area of the triangle below is 23.66 square inches.

And, The height = 5.2 inches

We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values we get;

⇒ 23.66 = 1/2 × Base × 5.2

⇒ 23.66 = Base × 2.6

⇒ Base = 23.66 / 2.6

⇒ Base = 9.1 inches

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Answer:

See below

Step-by-step explanation:

π, pronounced as pi is the ratio between 2πr which is circumference to 2r which is diameter.

In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.

π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as π radians or π rad which is equivalent to 180°.

Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.

In calculus, you need π to do solid of revolution method which is:

[tex]\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}[/tex]

In trigonometry, you need it for measurement/angle.  

So anything that’s related to revolution, rotation or related to circle must require π at least.

In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.

Let me know if you have any questions!

Answer:

127,654

Place: hundreds, Value: 600

786,540

Place: Hundred thousands, Value: 700,000

45,902

Place: ten thousands, Value: 40,000

Hope this helps!

The solution to the system of linear equation x + y = 4 and x - y = 6 is (5, -1).

x + y = 4

x - y = 6

Therefore, let's add the equations.

2x = 10

divide both sides by 2

x = 10 / 2

x = 5

Let's find the value of y

Therefore,

x + y = 4

5 + y = 4

y = 4 - 5

y = - 1

Therefore, the solution of the system of equation is (5, -1)

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Answer:

1,017.36

Step-by-step explanation:

To find the volume of a cylinder, you need to figure out the radius and height.

We've already been given the height, which is 9 meters.

Now let's find the radius.

To find the radius you have to divide the diameter by 2, which means 12/2, which is 6.

Now let's plug it into the formula:  [tex]V = \pi r^{2} h[/tex]

So, 3.14 x [tex]6^{2}[/tex] x 9.

Solve the exponent, giving us 36.

3.14 x 36 x 9 = the volume.

Meaning, V = 1,017.36

Hope this helped, this is my first time answering a question.

The additional statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is this: B. Line l parallel to AB only.

The right statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is the expression that shows that line 1 is only parallel to AB.

This answer can be arrived at by summing up all of the angles and equating them to 180 degrees.

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Answer: Draw 41 circles and then divide them among her five friends.

Step-by-step explanation:

Answer:

[tex]\pi ^{3} *x^{4}[/tex]

Step-by-step explanation:

Simplifying using the exponent rule with the same base [tex]a^{n} *a^{m}[/tex]

[tex]=a^{n+m} :\pi ^{1+1+1} *\pi ^{1+1+1+1}[/tex]

Calculate the sum or difference: [tex]\pi^ {3} *x^{4}[/tex]

Answer: [tex]\pi^ {3} *x^{4}[/tex]

Answer:

V = 4/3 π (12)³

Step-by-step explanation:

The volume of a sphere is:

V = 4/3 π r³

where r is the radius.

Here, the ball has a diameter of 24 cm.  Radius is half the diameter, so r = 12.

V = 4/3 π (12)³

Answer: i am 90% sure its 75 milligrams (mg) a day for women and 90 mg a day for men.Step-by-step

explanation: i hope this helps

Answer:

What is the Value of Cot 75 Degrees in Terms of Tan 75°? Since the cotangent function is the reciprocal of the tangent function, we can write cot 75° as 1/tan(75°). The value of tan 75° is equal to 2 + √3.

If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Then the torque will also be zero.

The torque that may cause an item to revolve along an axis is measured as torque. The axis of rotation is the point at which the item rotates.

A rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95 Ampere, is oriented with the plane of its loop perpendicular to a uniform 1.50 Tesla magnetic field.

Then the torque that the magnetic field exerts on the coil will be

The torque is given as

[tex]\rm \tau = I \overrightarrow{A} \times \overrightarrow{B}[/tex]

The strength of magnetic torque on the current-carrying circle is given by θ: if θ is the angle between A and B. Then we have

[tex]\rm \tau = I AB \sin \theta[/tex]

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0

Then we have

[tex]\rm \tau = I AB \sin 0\\\\\tau = 0[/tex]

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The solution of the given expression will be equal to ( -1 / 36 ).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution of the given expression will be:-

[tex]=[\dfrac{2}{7}\times \dfrac{4}{9}]-\dfrac{1}{4}+[\dfrac{2}{7}\times \dfrac{1}{3}][/tex]

[tex]= \dfrac{8}{63}-\dfrac{1}{4}+\dfrac{2}{21}[/tex]

[tex]=\dfrac{32-63+24}{252}[/tex]

[tex]=\dfrac{-1}{36}[/tex]

Therefore the solution of the given expression will be equal to ( -1 / 36 ).

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Answer:

 A) 0

Explanation:

[tex]\sf \lim _{x\to \infty }\left(\dfrac{2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}\right)[/tex]

1) Limit does not exist when the numerator is bigger.

2) Limit is zero when the denominator is bigger.

3) Limit is the ratio of coefficients when both powers are equal.

Here, the denominator have a power of 4, bigger than the numerator.

Hence, the limit of the nth term is 0.

Answer:

-8m+24-32n

Step-by-step explanation:

-8 times m is -8m

-8 times -3 is 24

-8 times 4 is -32

put it together, you have -8m+24-32n

Answer:

12345.6

Step-by-step explanation:

when dividing by 10, just move the decimal point one time to the left. 123456 is changed to 12345.6

(a) Check the graph given below.

(b) 9 is located to the right of -6

(c) complete the statement: 9 > -6

Answer:

Just plot the points, then connect. It's very easy. Try it yourself.