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3 years ago

A.75/1 dollars per daythe cost $75 for each day.

Mathematics

2 answers:

Rama09 [41]3 years ago

5 0

Answer:

Step-by-step explanation:

Count by 25. Its a no-brainer honestly.

NISA [10]3 years ago

3 0

D cause it can be and it’s the easy way to do it I’m not gonna lie to you

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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

3 years ago

What is the length of segment AB? answer choices are... 10 12 13 15

gogolik [260]

Answer:

Step-by-step explanation:

3 0

3 years ago

Someone help me with this question!!

Zinaida [17]

Answer:

k = 6.5

Step-by-step explanation:

y = 2x + c is given. Thus, we know immediately that the slope of this line is m = 2. If (k, 10) is a point on this line, then the following must be true:

10 = 2(k) + c, and

-3 + 2(0) + c

10 = 2k + c

c = -3

Thus, 10 = 2k + -3 becomes 13 = 2k, so that k = 6.5

3 0

4 years ago

What is y equal to when x= -2 Y=-x+4

Alex17521 [72]

Y= -2+4

If X equals -2, you want to plug -2 in for X.

I hope I helped!

5 0

3 years ago

Are the two triangles simliar? How do you know?

lesya [120]

The triangles could be similar by both having right angles, same sides, measurements, ect.

7 0

3 years ago