Can someone please help solve this equation?<br> log, 4r = 4<br> 12

How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?

professor190 [17]

If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example: (plus) 927 added to (negative) 927 = zero

If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==> (plus) 92 added to (negative) 91
   92 and 91 are 1 number apart on the number line.
   The positive number is bigger than the negative number.
   So the sum is +1 .

==> (plus) 35 added to (negative) 37
      35 and 37 are 2 numbers apart on the number line.
      The negative number is bigger than the positive one.
So the sum is -2 .

3 0

3 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

3 years ago

ÜSLÜ SAYILAR

omeli [17]

cant understand your language can you translate in English

7 0

3 years ago

What are the x and y intercept for the graph of 4x - 3y = -12

Mama L [17]

Answer:

(-3,0) = x and (0,4) = y

Step-by-step explanation:

7 0

3 years ago

I don't get this can somebody help me

Alex17521 [72]

2x° + 1 + x° - 6 + 59°= 360°

3x° + 54° = 360°

3x = 306°

x = 102°

2(102°) + 1°= 204° + 1° = 205°

102° - 6°= 96°

205° + 96° + 59°= 360°

7 0

3 years ago

Can someone please help solve this equation? log, 4r = 4 12