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1 year ago

: Find the area of the shaded region for these two questions. Remember this

Mathematics

1 answer:

xxMikexx [17]1 year ago

6 0

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

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If a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month, wha

Rina8888 [55]

Answer:

A. $7.17

Step-by-step explanation:

We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nT}$ where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Periods of compounding,

T = Time in years.

Let us multiply our given rate by 12 to get APR and convert it in decimal form.

$APR=12\times 1.5\%$

$APR=18\%$

$18\%=\frac{18}{100}=0.18$

Since 1 year equals 12 months, so 1 month will be 1/12 year.

Upon substituting our given values in above formula we will get,

$A=477.95(1+\frac{0.18}{12})^{12\times\frac{1}{12}}$

$A=477.95(1+0.015)^{1}$

$A=477.95(1.015)$

$A=485.11925$

Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.

$\text{The monthly interest charge be at the end of the first month}=485.11925-477.95$

$\text{The monthly interest charge be at the end of the first month}=7.16925\approx 7.17$

Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.

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3 years ago

Find the percent increase from 85 to 125

Ilia_Sergeevich [38]

Answer: 47.06

Step-by-step explanation: math

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2 years ago

In a large marathon, runners start the race in stages. Leanna started in group E and ran at a rate of 4.8 miles per hour. During

grandymaker [24]

Answer: Leanna ran 39.96 miles before she was passed by Irina.

Step-by-step explanation:

When Irina would pass Leanna, they would have ran the same distance.

Let t represent the time that Leanna ran before she was passed by Irina.

Distance = speed × time

Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is

4.8 × t = 4.8t

During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is

t - 0.333

Distance ran by Irina is

5(t - 0.333) = 5t - 1.665

Since they ran the same distance, then

4.8t = 5t - 1.665

5t - 4.8t = 1.665

0.2t = 1.665

t = 1.665/0.2 = 8.325 hours

Therefore, the distance that Leanna ran before she was passed by Irina is

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3 years ago

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Mariulka [41]

Step-by-step explanation:

here's the solution: -

=》

$\frac{x {}^{6} }{ {x}^{4} } \times {x}^{2}$

=》

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=》

$x \times x \times x \times x$

=》

${x}^{4}$

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2 years ago

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Yuki888 [10]

Answer:

Step-by-step explanation:

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2 years ago