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3 years ago

5

Never have done the area of a trapezoid. I need help

1 answer:

marysya [2.9K]3 years ago

5 0

$A = h( \frac{b_1+b_2}{2})$ is a very complicated way of saying: "add the two bases together then half that number then times by the height."

For the trapezoid in your question:
Add the bases: 125 + 81 = 206
Half it: 206 ÷ 2 = 103
Times by height: 103 × 75 = 7725 sq ft

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1. Jane saved up 20 coins, all nickels and

kompoz [17]

Answer:

10 nickels and 10 quarters

Step-by-step explanation:

Given

Number of coins: 20

Vaiue of coins = $3.00

Required

Number of Nickels and Quarters;

<em>Let N =Nickels and Q =Quarters</em>

The total coins is represented as:

$N + Q = 20$

1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So

$0.05N + 0.25Q = 3$

Make N the subject of formula in the first equation

$N = 20 - Q$

Substitute this in the second equation

$0.05(20 - Q) + 0.25Q = 3$

$1 - 0.05Q + 0.25Q = 3$

Collect like terms

$-0.05Q + 0.25Q = 3 - 1$

$0.2Q = 2$

Multiply both sides by 5

$5 * 0.2Q = 2 * 5$

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Recall that N = 20 - Q

$N = 20 - 10$

$N = 10$

6 0

3 years ago

Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

5 0

3 years ago

Having a hard time finding the area

Marina CMI [18]

Answer:

For the triangle, the area is 7.5 in.

For the trapezoid, the area should be 90 cm

Step-by-step explanation:

The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h

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3 years ago

a retailer buys a radio from the wholesaler for $75.he then marks up the price by 1/3 and sells it at a discount of 20%.what was

soldier1979 [14.2K]

He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
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3 years ago

Read 2 more answers

Does 27.93 equal to this 20.7+0.9+0.03

nexus9112 [7]

No,27.93 equals <span>20.00+7.00+0.9+0.03</span>

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3 years ago