All categories

3 years ago

What is b when b^2=46

Mathematics

2 answers:

lianna [129]3 years ago

8 0

Answer:

b^2 = 46

b = √46 (or 6.78 rounded)

Troyanec [42]3 years ago

4 0

Answer:

b≈6.78

Step-by-step explanation:

Just punch in your calculator the square root of 46.

$\sqrt{46} =b$

b≈6.78

You might be interested in

-2 (4x-9) = -18 ×=___

Dahasolnce [82]

Answer:

x = 9/2 or 4 1/2 or 4.5

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve. Hope this helped :)!

5 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

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

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

0.9 written as a fraction

Marianna [84]

Answer:

9/10

Step-by-step explanation:

90%

6 0

3 years ago

Read 2 more answers

Please help... Math is so hard for me. Can someone please explain?

777dan777 [17]

Answer:

3rd choice

Step-by-step explanation:

the 3rd choice is the same as all of the others just in fraction form .you need to keep fraction form for the statement to still be true

8 0

3 years ago

Read 2 more answers

Simplify: square root of 81+18<img src="https://tex.z-dn.net/?f=%5Csqrt%7B7%7D" id="TexFormula1" title="\sqrt{7}" alt="\sqrt{7}"

Lemur [1.5K]

$\sqrt{81 \: + \: 18 \sqrt{7} \: + \: 7}$

Factor the indicated expression:

$\sqrt{(9 \: + \: \sqrt{7} ) ^{2} }$

Simplified the index, the root and also the exponent using the number 2.

$\boxed{ \bold{9 \: + \: \sqrt{7} }}$

<h3><em><u>MissSpanish</u></em> </h3>

5 0

2 years ago