F(x)=x+6 and g(x)=a-2 then find f(6)+g(4)

Is a rectangle a plane shape

Triss [41]

Answer:

A plane shape with four straight sides and four right angles for corners is called a rectangle.

Step-by-step explanation:

3 0

2 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

so

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

: Emily’s family ordered a pizza for dinner. The radius of the pizza is 8 inches. How many square inches of pizza did Emily’s fa

denpristay [2]

Answer:

A = 201.06 square inches

Step-by-step explanation:

Radius of the pizza is 8 inches.

It is required to find the area of the pizza get by Emily's family.

Pizza is in the shape of circle. Area of a circular figure is given by :

$A=\pi r^2\\\\A=\pi (8)^2\\\\A=201.06\ in^2$

So, the Emily's family will get 201.06 square inches of pizza.

5 0

3 years ago

Which kind of function best models the data in the table? Graph the data and write an equation to model the data.

mestny [16]

linear; y = x – 2 is answer! pls mark me as brainliest i need only 2 more to rank up! Hope I Helped

8 0

2 years ago

Read 2 more answers

Translate this sentence into an equation. The product of Craig's savings and 4 is 76 . Use the variable c to represent Craig's s

pantera1 [17]

<span>The product of Craig's savings is 4 and 76. Use the variable g to represent
</span>Use the variable c to represent Craig's savings.<span>
g = 4*76 = 304</span>

4 0

3 years ago