What is the inverse of the function Fox(x) = 2x + 1?

Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan

rodikova [14]

The given pyramid's total surface area is 3. 24.0 square feet.

Step-by-step explanation:

Step 1:

To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.

There are 3 triangles and 1 square in the figure.

Step 2:

All the triangles are similar.

The surface area of a triangle = $\frac{1}{2} (baselength)(height).$

The similar triangles have a base length of 3 feet and a height of 2.5 feet.

The surface area of 1 similar triangle = $\frac{1}{2} (3)(2.5)= 3.75$ square feet.

The surface area for all the similar triangles = $3.75 (4) = 15$ square feet.

Step 3:

The surface area of a square is the square of its side length. The square has a side length of 3 feet.

The surface area of the square = $a^{2} = 3^{2} =9$ square feet.

Step 4:

To calculate the total surface area we sum up all the individual surface area.

The total surface area = $15 + 9 = 24$ square feet which is the third option.

3 0

2 years ago

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

6 0

2 years ago

The legs of an isosceles trapezoid have lengths of 48 - 7x and x + 8. What is the length of one of the legs?

sdas [7]

Answer:

13 units

Step-by-step explanation:

The legs of an isosceles trapezoid are congruent, then

x + 8 = 48 - 7x ( add 7x to both sides )

8x + 8 = 48 ( subtract 8 from both sides )

8x = 40 ( divide both sides by 8 )

x = 5

Then

leg = x + 8 = 5 + 8 = 13

4 0

2 years ago

dwight can drive 60 miles for each gallon of gas on his motorcycle how far can dwight go if he has 3 gallons of gas

Aleksandr-060686 [28]

Answer:

180

Step-by-step explanation: 60+60 =120 120+6

5 0

2 years ago

Evaluate the expression 10^2+(3+5)^2 - 5=

vampirchik [111]

Answer:

159

Step-by-step explanation:

10^2+(3+5)^2-5

-> 100 + (3+5)^2 -5

-> 100 + 8^2 - 5

-> 100 + 64 - 5

-> 159

8 0

1 year ago

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What is the inverse of the function Fox(x) = 2x + 1? ​

What is the inverse of the function Fox(x) = 2x + 1?