which of the following is located over the center of the base of a regular pyramid
A vertex
B slant height
C face
D edge

Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].

Sp, by the corresponding angles theorem, x=35

Given, a = 1

common difference = 3

Eighth term = a+(n-1)d = 1+(8-1)3

= 1 + 21 = 22

Hope this helps :)

Answer:

it's 9

Step-by-step explanation:

type it in a calculater

The measure of the angle shown is 280°

From the question, we are to determine the measure of the angle shown

For the given protractor,

The measure between any two lines is 10°.

Also, there are 10 tick marks between any two lines.

∴ 15 tick marks will have a measure of 15°

Then,

The measure of a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees will be

265° + 15° = 280°

Hence, the measure of the angle shown is 280°

Learn more on Calculating angles here: https://brainly.com/question/15132158

#SPJ1

Answer:

9

Step-by-step explanation:

Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:

4x + 9 + 16x - 9 = 180 add like terms

20x = 180 divide both sides by 20

x = 9

Make the equations equal and solve for x

For x=0

For x=-1

The solutions are

Graph attached

f(x) = 4²ˣ, this is an exponential function. Then the correct option is E.

Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as

y = aˣ + b

The exonentuial functions are given below.

a. f(x)=x³ + 2x²² -6, this is not an exponential function.

b. f(x) = 5/x, this is not an exponential function.

c. f(x) = 5x + 2, this is not an exponential function.

d. f(x) = 4x², this is not an exponential function.

e. f(x) = 4²ˣ, this is an exponential function.

Then the correct option is E.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year ,  a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.

The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.

The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.

and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .

To know more about Grasslands

https://brainly.com/question/15443381

#SPJ1

Answer:

4^3 = 4x4x4

Step-by-step explanation:

its just a shortened version of 4x4 3 times

Answer:

122.5 squared

Step-by-step explanation:

bahh have have aheve shaved she sbdnabd sjsbd akdbd

You could vote on it? There are as many ways as you can think of. It’s not set in stone.

Answer:

No, I don't think so....

Step-by-step explanation:

Volume = 1/2 * Base * Height * Length

     Height =  Base * tan 10  

The underlined items you have,but there is still 2 unknowns and only one equation to solve them <=====  so I think you need one more piece of the puzzle to solve....    either the base or the length of the prism.

Answer:

Step-by-step explanation:

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

[tex]a^{-n} = \frac{1}{a^{n} }[/tex]

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]

Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]

= 9

Here, 9 is the answer of the above example.

For more negative exponent related content visit here

https://brainly.com/question/1773695

#SPJ1

Answer:

$42 would be the correct answer.

Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

The point divides the line in the respective ratios. The correct matches are done.

When a point lies on the line such that is gets divided into the ratio is said to be the division of line.

The coordinates of point can be find out by the following formula.

x = mx₂ +nx₁ / m+n   and y = my₂ +ny₁ / m+n

For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.

Substituting the values, we get

-3.6 =  2x₂ +3x₁ / 2+3                 and           -3.4 = 2y₂ +3y₁ / 2+3

 2x₂ +3x₁ = -18                           and               2y₂ +3y₁ = -17

The above equations are satisfied by the points A(-2,-1) and B (-6,-7)

For, Point C(4, 1.6) divides in the ratio 3 : 2.

Substituting the values, we get

4 =  3x₂ +2x₁ / 2+3                     and           1.6 = 3y₂ +2y₁ / 2+3

3x₂ +2x₁ = 20                          and               3y₂ +2y₁ = 8

The above equations are not satisfied by any of the points.

For, Point C(3.5, -2.5) divides in the ratio 1 : 7.

Substituting the values, we get

3.5 =  1x₂ +7x₁ / 1+7                     and           1.6 = y₂ +7y₁ /1+7  

x₂ +7x₁ = 28                          and                y₂ +7y₁ = -20

The above equations are not satisfied by any of the points.

For, Point C(8, 9) divides in the ratio 5 : 3.

Substituting the values, we get

8 =  5x₂ +3x₁ /5+3                    and           9 = 5y₂ +3y₁ /5+3  

 5x₂ +3x₁ =64                          and                5y₂ +3y₁ = 72

The above equations are satisfied by the points A (3,4) and B(11, 12).

For, Point C(-2, 5) divides in the ratio 2 : 6.

Substituting the values, we get

-2 =  2x₂ +6x₁ /2+6                    and           5 = 2y₂ +6y₁ /2+6  

 2x₂ +6x₁  =-16                          and                2y₂ +6y₁ = 40

The above equations are satisfied by the points A (-5,2) and B(7,14).

For, Point C(0,1) divides in the ratio 4 : 7.

Substituting the values, we get

0 =  4x₂ +7x₁ /4+7                   and           1= 4y₂ +7y₁ /4+7  

 4x₂ +7x₁  = 0                      and                4y₂ +7y₁ = 11

The above equations are satisfied by the points A (4,-3) and B(-7,8).

Thus, all the equations are joined with their satisfying points.

Learn more about division of line.

https://brainly.com/question/27065786

#SPJ1

The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°

From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;

∠KNU 1/2 * 100 = 50°

This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.

Read more about quadrilateral angles at; https://brainly.com/question/27420229

#SPJ1

The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex]   ...1

and

[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex]   ...2

Divide equation 2 by equation 1, then we have

[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

More about the tangent of the parameter curves at a point link is given below.

https://brainly.com/question/12648555

#SPJ4

The area of a 2D form is the amount of space within its perimeter. The correct option is D.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,

Area of L block = Area of A + Area of B

                          = (7×2) units² + (1 × 5) units²

                          = 14units² + 5units²

                          = 19units²

Hence, the correct option is D.

Learn more about Area:

https://brainly.com/question/1631786

#SPJ1

Answer:

x = 25

Step-by-step explanation:

First turn this into an equation:

[tex]\frac{4}{5}[/tex] times x = 20

Now divide both sides by [tex]\frac{4}{5}[/tex]. You can't divide by a fraction, instead you multiply by flipping the fraction. So now you're multiplying both sides by [tex]\frac{5}{4}[/tex].

20 times 5 = 100. Next you divide [tex]\frac{100}{4}[/tex]. This is equal to 25. You have completed the equation and now have the answer:

x = 25

Have a great day!

The area of the flower bed is 77 square feet

The given parameters are:

The area of the flower bed is calculated as:

Area = 0.5 * Product of perpendicular sides

So, we have:

Area = 0.5 * 14 * 11

Evaluate

Area = 77

Hence, the area of the flower bed is 77 square feet

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

The letter that will be on the side opposite D is letter B

The attached image represents the missing piece in the question

The opposite sides of a cube always have a face in between them, when represented as a net.

From the attached image, the adjacent sides are:

A B C D

F C E

The opposite sides as represented above are;

A and C

B and D

F and E

Hence, the letter that will be on the side opposite D is letter B

Read more about cubes at:

https://brainly.com/question/1972490

#SPJ1

By counting the total number of outcomes, we conclude that the spinner has 4 sections.

Let's say that the spinner has N sections.

If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.

Then for the experiment of spinning the spinner twice, the number of outcomes is:

O = N*N

And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:

16 = N*N = N^2

Solving for N, we have:

N = √16 = 4

Then we conclude that the spinner has 4 sections.

If you want to learn more about outcomes:

https://brainly.com/question/10837034

#SPJ1

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

The closest to x the distance between the two poles is gotten as; x = 75 ft

From the Brainly link attached, we can see the diagram and we can say that;

We are given a right angled triangle with;

A known angle of; θ = 20°

Length of the hypotenuse = 80

Now, we want to find the length of the base x. Thus, we will use trigonometric ratio to get;

cos θ = x/hypotenuse

Thus;

cos 20 = x/80

x = 80 cos 20

x = 75.17 ft ≈ 75 ft

Read more about trigonometric ratios at; https://brainly.com/question/11789367

#SPJ1

The length of EF which lie on line EC is 8.66 units.

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

Here,    EG = 6.9 ,        FC = 6.4,           GD = 5.1

Also. FG || CD

By Basic Proportionality Theorem,

               [tex]\frac{EF}{FC} = \frac{EG}{GD}[/tex]

               [tex]EF = \frac{EG . FC}{GD}[/tex]

               EF =  (6.9 X 6.4) / 5.1

               EF = 8.66 units

Thus, The length of EF which lie on line EC is 8.66 units.

Learn more about Parallel Lines from:

https://brainly.com/question/16701300

#SPJ1