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2 years ago

Jan used 10

Mathematics

1 answer:

Lostsunrise [7]2 years ago

4 0

Answer:

2 yards

Step-by-step explanation:

10 divided by 5 is 2

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2 years ago

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50× 3/8 how to reduce answer to lowest te

hoa [83]

The lowest term is $\frac{75}{4}$ .

Solution:

Given expression is $50\times\frac{3}{8}$

<u>To reduce this term to the lowest term:</u>

$$50\times\frac{3}{8}=\frac{50}{1}\times\frac{3}{8}$

Multiply the numerator and denominator.

$$50\times\frac{3}{8}=\frac{150}{8}$

Now, divide the numerator and denominator by the greatest common factor.

Here 150 and 8 both have common factor 2.

So, divide numerator and denominator by 2.

$$=\frac{150\div2}{8\div2}$

$$=\frac{75}{4}$

$$50\times\frac{3}{8}=\frac{75}{4}$

Hence the lowest term is $\frac{75}{4}$ .

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3 years ago

Describe the pattern between the fractions 1/9 and 2/9 and their decimal form

Svetradugi [14.3K]

1/9 is equal to 0.11, and 2/9 is equal to 0.22. You can see the pattern here, if you look at the numerator of the fraction and the decimal.

5 0

1 year 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

What are the slope and Y intercept of the linear function graft to the left?

Anna35 [415]

Answer:

Slope - $\\\frac{1}{2}$

Y intercept 1

so option 2 or B

Step-by-step explanation:

Slope is rise over run so 1 over -2

so -1/2

and y intercept is where the line crosses the y axis and it crosses on this graph at positive 1.

6 0

2 years ago