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3 years ago

Find the area of the shape shown below.

Mathematics

1 answer:

hichkok12 [17]3 years ago

6 0

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

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Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

4 years ago

Three friends collected aluminum cans from the neighborhood to recycle in total they receive 300 cans many collected 90 Jim coll

spin [16.1K]

Given

Total cans = 300

Manny= 90

Jim =100

Bob=110

Now their percentage

Manny percentage

$\begin{gathered} manny=\frac{90}{300}\times100\text{ \%} \\ \\ Manny\text{ percentage=}\frac{90}{3}\text{ \%} \\ \\ Manny\text{ percentage =30 \%} \end{gathered}$

Jim Percentage

$\begin{gathered} Jim=\frac{100}{300}\times100\text{ \%} \\ Jim\text{ percentage=}\frac{1}{3}\times100\text{ \%} \\ Jim\text{ percentage=33.333\%} \end{gathered}$

Bob percentage

$undefined$

6 0

1 year ago

What is this equation problem 3n+16=7n

Monica [59]

If you mean what is n, then n = 4

7 0

4 years ago

Read 2 more answers

Joseph needs 6 1/2 cups of cooked rice for a recipe of nasi gorang. If 2 cups of uncooked rice with 2 1/2 cups of water make 4 1

liraira [26]

Answer:

The number of the cups of uncooked rice is 3 cups

The number of the cups of water is $3\frac{3}{4}$ cups

Step-by-step explanation:

* Let us read the recipe of Nasi Gorang

- 2 cups of uncooked rice need $2\frac{1}{2}$ cups of water to

make $4\frac{1}{3}$ cups of cooked rice

- Joseph needs $6\frac{1}{2}$ cups of cooked rice

- We need to know how many cups of uncooked rice Joshep needs

for this recipe and how much water should be added

* We can solve this problem by using the ratio method

⇒ uncooked cups : water cups : cooked cups

⇒ 2 : $2\frac{1}{2}$ : $4\frac{1}{3}$

⇒ x : y : $6\frac{1}{2}$

- By using cross multiplication

∵ x ( $4\frac{1}{3}$ ) = 2 ( $6\frac{1}{2}$ )

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∴ x ( $\frac{13}{3}$ ) = 2 ( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ x = 13

- Divide both sides by $\frac{13}{3}$

∴ x = 3

∴ The number of the cups of uncooked rice is 3 cups

- By using cross multiplication

∵ y ( $4\frac{1}{3}$ ) = ( $2\frac{1}{2}$ )( $6\frac{1}{2}$ )

∵ $2\frac{1}{2}$ = $\frac{5}{2}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∴ $\frac{13}{3}$ y = ( $\frac{5}{2}$ )( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ y = $\frac{65}{4}$

- Divide both sides by $\frac{13}{3}$

∴ y = $3\frac{3}{4}$

∴ The number of the cups of water is $3\frac{3}{4}$ cups

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3 years ago

Using the exponential growth function for the U. S. population from 1970 through 2003:

jeka94

Answer:

Step-by-step explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

2028

2048

2018

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826

7 0

3 years ago