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2 years ago

I need help with this

Mathematics

1 answer:

laiz [17]2 years ago

5 0

Answer:

y = (3/2)x -3

Step-by-step explanation:

y = mx + b, where m = slope and b = y-intercept

The slope is 3/2 and the y-intercept is (0, -3)

y = (3/2)x -3

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Can someone answer this? Thanks :)

Maslowich

Answer:

15ft

Step-by-step explanation:

Draw out the picture and use the Pythagorean theorem (equation is written in blue) to solve.

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4 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

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

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

152 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 152, slightly less than

tatyana61 [14]

Answer:

1.22

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

9:18 in the lowest term

skelet666 [1.2K]

9/18 in lowest term is 1/2

Work:

9/18 ÷ 9/9 = 1/2

1/2 = 0.5

0.5 = 50%

6 0

3 years ago

Read 2 more answers

Solve the equation: 4 - 5(3- 2x) = -2x + 1

Rufina [12.5K]

Answer:

x=1

Step-by-step explanation:

4 - 5(3- 2x) = -2x + 1

Distribute

4 - 15 +10x = -2x+1

Combine like terms

-11 +10x = -2x+1

Add 2x to each side

-11+10x+2x = -2x+2x +1

-11+12x = 1

Add 11 to each side

-11 +11 + 12x = 11+1

12x = 12

Divide each side by

12x/12 = 12/12

x = 1

4 0

2 years ago

Read 2 more answers