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A triangle has an area of 900m2 . If a parallelogram has the same height and base as the triangle, what is the area of the paral

timama [110]

Answer:

1800 $m^{2}$ is the area of parallelogram.

Step-by-step explanation:

Given that:

Area of a triangle = 900 $m^{2}$

To find:

Area of a parallelogram which has same height and base as that of the given triangle.

Solution:

First of all, let us have a look at the formula for Area of a parallelogram:

$Area_{Par} = Base \times Height$ ...... (1)

So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.

Now, let us have a look at the formula for area of a triangle:

$Area_{Tri} = \dfrac{1}{2} \times Base \times Height$

Given that height and base of triangle and parallelogram are equal to each other.

So,the product of base and height will also be equal to each other.

$900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2$

By equation (1):

<em>Area of parallelogram = 1800 </em> $m^{2}$ <em> </em>

4 0

3 years ago

Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?

Fantom [35]

Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

$\frac{28}{1}$ ÷ $\frac{4}{9}$ = $\frac{a}{1}$ ÷ $\frac{9}{9}$

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

5 0

2 years ago

What should be done so that the expression 4+4 to the power of 2 - 5×2 will have a value of 10?

Olin [163]

Answer: 8 x 8 = 64 - 10 = 64 so you need add the another times operation 64 - 54 x 1 = 10

3 0

3 years ago

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

$D = \frac{72}{7.7} = 9.35$ .

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

$A = 2P$

$r = 0.077$

There are 52 weeks in a year, so $n = 52$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.077}{52})^{52t}$

$2 = (1.0015)^{52t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.0015}(1.0015)^{52t} = \log_{1.0015} 2$

$52t = 462.44$

$t = \frac{462.44}{52}$

$t = 8.89$

The exact answer is that the doubling time is 8.89 years.

6 0

3 years ago

Brenda invests $4,848 in a savings account with a fix annual interest rate of 5% compounded 2 times per year.what will the accou

Mashutka [201]

A = P(1 + rt)

A= 4,848(1+.05*6)

A=6302.4

7 0

3 years ago