What is the volume in cubic inches of the pyramid shown in the diagram? ​

Answer:

(0,-7) and (-7,0)

Step-by-step explanation:

Answer:

(4,6) and (-2,6) Then you draw a line between these two points.

Step-by-step explanation:

(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:

sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)

tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)

cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))

secθ = 1 / cosθ = 1 / (7/12) = 12/7

cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)

(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:

cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5

sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5

cotθ = 1 / tanθ = 1 / (4/3) = 3/4

secθ = 1 / cosθ = 1 / (3/5) = 5/3

cscθ = 1 / sinθ = 1 / (4/5) = 5/4

Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.

The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.

Learn more about Trigonometric functions  in brainly.com/question/29156330

#SPJ1

To be honest I don't know❤️

Answer:

no it is not equivalent

Step-by-step explanation:

4/3is not equal to 3/2

Answer:

yes

Step-by-step explanation:

not as a fraction, but as ratios they are equivalent

Answer:

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

hope it helps..

have a great day!!

Answer:

[tex]f(x) = 0.5(x+3)(x-1)[/tex]

Step-by-step explanation:

GIVEN :-

A quadratic function is represented by the graph in which :-

TO FIND :-

GENERAL CONCEPT USED IN THIS QUESTION :-

A quadratic function has 2 forms :-

SOLUTION :-

The quadratic function in the graph intersects x-axis at two points (-3 , 0) & (1 , 0). But there are infinite parabolas which also intersect the same two points. And those parabolas have their unique quadratic function.

To find the unique quadratic function , you need to use three points on the

curve so that you can form 3 equations & solve them.

Using the General form of quadratic function , substitute the known values for x & y.

Let the three points be -

Substitute (-3 , 0) in general form of function -

[tex]0 = a(-3)^2 + b(-3) + c[/tex]

[tex]=> 9a-3b+c = 0[/tex]  (eqn.1)

Substitute (1 , 0) in general form of function -

[tex]0 = a(1)^2 + b(1) + c[/tex]

[tex]=> a + b +c =0[/tex]  (eqn.2)

Substitute (0 , -1.5) in general form of function -

[tex]-1.5 = a(0)^2 + b(0) + c[/tex]

[tex]=> c = -1.5[/tex]

Substitute c = -1.5 in -

1) eqn.1 → [tex]9a - 3b - 1.5 = 0[/tex]

[tex]=> 9a - 3b = 1.5[/tex]  

[tex]=> 3(3a-b) = 1.5[/tex]

[tex]=> 3a-b = 0.5[/tex]  (eqn.4)

2) eqn.2 → [tex]a+b-1.5=0[/tex]

[tex]=> a+b=1.5[/tex] (eqn.5)

Add eqn.4 & eqn.5 to get the value of 'a'.

[tex](3a-b)+(a+b) = 0.5+1.5[/tex]

[tex]=> 4a = 2[/tex]

[tex]=> a = \frac{2}{4} = \frac{1}{2} = 0.5[/tex]

Substitute a = 0.5 in eqn.5 -

[tex]0.5 + b = 1.5[/tex]

[tex]=> b = 1.5 - 0.5 = 1[/tex]

Now, rewrite the function in general form by putting the values of 'a' , 'b' & 'c'.

[tex]f(x) = (0.5)x^2 + (1)x - 1.5[/tex]

[tex]=> f(x) = 0.5(x^2 + 2x - 3)[/tex]

Factorise the quadratic polynomial.

[tex]=> f(x) = 0.5(x^2 + 3x - x - 3)[/tex]

[tex]=> f(x) = 0.5[x(x+3)-1(x+3)][/tex]

∴  [tex]f(x) = 0.5(x+3)(x-1)[/tex]

Another way to find the function is by taking any point on the curve & using the vertex of the parabola ; substitute the known values for x , y , h & k in  the Standard form of the function.

Let that point on the curve be (-3 , 0)

Vertex = (-1 , -2)

Substitute the values of x , y , h & k in Standard form of function.

[tex]0 = a[-3 - (-1)]^2 + (-2)[/tex]

[tex]=> 0 = 4a-2[/tex]

[tex]=> 4a = 2[/tex]

[tex]=> a = \frac{2}{4} = 0.5[/tex]

Now rewrite the Standard form of the function by putting the values of h , k & a.

[tex]f(x) = 0.5(x+1)^2-2[/tex]

Expand it.

[tex]=> f(x) = 0.5(x^2+2x+1)-2[/tex]

[tex]=> f(x) = 0.5x^2+x+0.5-2[/tex]

[tex]=>f(x) = 0.5x^2 + x- 1.5[/tex]

[tex]=>f(x) = 0.5(x^2 + 2x - 3)[/tex]

Factorising it will give the final answer.

∴  [tex]f(x) = 0.5(x+3)(x-1)[/tex]

The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.

In other words, log2(x) = y, where 2^y = x.

Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.

Therefore, the log value of log2 is 1.

Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.

Learn more about logarithm here

https://brainly.com/question/28596588

#SPJ4

Answer:

Step-by-step explanation:

[tex]y=x^2+6x+10\\\\y=x^2+6x+9-9+10\\\\\bold{y=(x+3)^2+1}[/tex]

a = 1 > 0  ← it means the parabla opens up, so, the vertex is minimum

The vertex form is  y = a(x - h)² + k, where (h, k) is the vertex

So, from  y = (x + 3)² + 1   the vertex is:  (-3, 1)

Answer:

1.5x=3

x=3/1.5

x=2

.....

Answer:

Hello! answer: x = 2

Step-by-step explanation:

1.5 × 2 = 3

therefore x = 2 Hope that helps!

Answer:

slope is 1/2

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Answer:

The common difference is 6

Step-by-step explanation:

14 - 6 = 8

8 - 6 = 2

Answer:

[tex]C = \{0,7,14,21,28\}[/tex]

Step-by-step explanation:

Given

[tex]C \{7n: n < 5\}[/tex]

Required

List the elements

Assume that n is not negative, the values of n are:

[tex]n = \{0,1,2,3,4\}[/tex]

So, the values of C is:

[tex]C = 7 * n[/tex]

[tex]C = 7 * \{0,1,2,3,4\}[/tex]

Multiply each set element by 7

[tex]C = \{7 *0,7 *1,7 *2,7 *3,7 *4\}[/tex]

[tex]C = \{0,7,14,21,28\}[/tex]

Answer:

1 and 2 is adjacent. 1 and 3 are vertical. 3 and 4 are adjacent. 2 and 4 are vertical angles.

Angles ∠1 and ∠2 as well as angles ∠3 and ∠4 are linear and supplementary angles. And angles ∠2 and ∠4 as well as ∠1 and ∠3 are vertically opposite angles.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

Angles ∠1 and ∠2 are linear and supplementary angles.

Angles ∠1 and ∠3 are vertically opposite angles.

Angles ∠3 and ∠4 are linear and supplementary angles.

Angles ∠2 and ∠4 are vertically opposite angles.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer:

x^4

Step-by-step explanation:

[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]

Answer:

this app is good

Step-by-step explanation:

yah

The algebraic solutions are x < -5 and x > 3.

The graph is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + 2x > 15

x² + 2x - 15 > 0

x² + (5 - 3)x - 15 > 0

x² + 5x - 3x - 15 > 0

x(x + 5) - 3(x + 5) > 0

(x - 3)(x + 5) > 0

x + 5 > 0 and x - 3 > 0

x < -5 and x > 3

The graph is given below.

Thus,

x < -5 and x > 3 is the solution.

The graph is given below.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

f(x)=2499(0.079)

Step-by-step explanation:

Answer: x = 14

Step-by-step explanation:

    For points A, B, and C to be collinear, angle ABD and EBC must be vertical angles. Vertical angles are congruent so we will set them equal to each other and solve for x.

    Given:

126 = 9x

    Divide both sides of the equation by 9:

14 = x

    Reflexive property:

x = 14

Answer:

4

Step-by-step explanation:

Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.

Answer:

Step-by-step explanation:

the side length of the cube is not given so i cant answer this

Answer:

1.centre

2.chord

3.chord

4.radius

5.diameter

BRAINLY ME PLEASE IF HELPFUL!!!

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3, 1/5 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ1

Answer:

a): A line has a total degree of 180. So just subtract it. 180-92 is

y=88

b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.

y=45.

These are all the ones I can figure out. I hope someone else can get c) and d).

Answer:

19/3

Step-by-step explanation:

x+1 2/3=8

1 2/3=5/3

x+5/3=8

x=8-5/3

x=24/3-5/3

x=19/3

As per the power rule of exponents, the solution of 3 to the power of 3 is 27.

The term exponent in math is defined as a number shows how many times the number is multiplied by itself.

Here we have to solve 3 to the power of 3.

Here according to the Power Rule of Exponents then we have the rule as

=> aⁿ = a × a × a... (n times)

Therefore, the given expression is written as

=> 3³

Now, based on the power of exponent rule it can be rewritten as,

=>  3 × 3 × 3

Then we have to multiply the values then we get

=> 27

Therefore, the value of 3 raised to 3rd power is 27.

To know more about Exponent here.

https://brainly.com/question/29125740

#SPJ4

Answer:

scalene acute triangle

Step-by-step explanation:

By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.

Answer:

B

Step-by-step explanation:

It's B

First we multiply the coefficients. 6*3= 18, so we can immediately cross out A and D. Now, c^2 * c is c^3. So, its B.

Hope this helps !!

-Ketifa

Step-by-step explanation:

Answer:

I'm not sure what equation is needed here. Could you share the table?

Either way, you can take the number of students there are and multiply that to the number of chaperones needed per group of 12- basically see how many groups of 12 you can fit in the overall group of students

The algebraic expression is represented as 4d - 2.5

An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.

They are also composed of mathematical operations, such as;

From the information given, we have that;

The variable = d

The constant = 2.5

The coefficient = 4

This is represented as;

4d - 2.5

Hence, the expression is 4d - 2.5

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Answer:

Step-by-step explanation:

26° + 100°

= 126°

360° - 126°

234°