All categories

2 years ago

Given: △AFD, m∠F=90° DF=7√3 , m∠D=30° Find: Area of △AFD

Mathematics

1 answer:

Aliun [14]2 years ago

4 0

Using the definition of the tangent function, you can find ...

... FA = DF·tan(30°) = (7√3)·(1/√3) = 7

Then the usual formula for triangle area can be used:

... Area = (1/2)bh = (1/2)·(7√3)(7)

... Area = (49/2)√3 square units

... ≈ 42.44 square units

You might be interested in

Frank had hip replacement surgery and was given a prescription with instructions to take a 200 milligram (mg) tablet three times

IgorC [24]

Answer:

12,600mg per 21 days

Step-by-step explanation:

200mg three times a day → (200mg)(3) = 600mg per a day

21 days → (21)(600mg) = 12,600mg per 21 days

5 0

1 year ago

Which expressions are equivalent to 7^{-2}\cdot 7^67

AleksandrR [38]

Answer:

${7}^{ - 2} \cdot \: {7}^{6} = {7}^{ 4}$

Step-by-step explanation:

The given expresion is;

${7}^{ - 2} \cdot {7}^{6}$

We apply the product rule of indices;

${a}^{m} \cdot \: {a}^{n} = {a}^{m + n}$

We apply this property to our expression to get:

${7}^{ - 2} \cdot \: {7}^{6} = {7}^{ - 2 + 6}$

Simplify the exponent on the right;

${7}^{ - 2} \cdot \: {7}^{6} = {7}^{ 4}$

We can't see the options, but I hope this helps!

3 0

2 years ago

Read 2 more answers

Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured.

FromTheMoon [43]

Solution:

Albert's medical expenses is = $ 12,000

Sam's come = $ 8,000

Add the amount = 12000 + 8000 = $ 20000

Sue Jones is insured for the amount = 10/20

Now, find the insurance.

(10/20)*(20,000) = 10000

Hence, $10000 pay for the insurance.

7 0

2 years ago

Read 2 more answers

A dvd normally costs $15. It is reduced to $9.75 in a sale. How much is the percentage reduction

Ivahew [28]

Answer:

You are paying 65% of the original price.

Step-by-step explanation:

So what I did is trial and error by 5 so I started with 75% and then 70% and so on until 65%

5 0

2 years ago

Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

Debora [2.8K]

Option A

$2x^2(6x-1) + 3(6x-1)$ is one way to determine the factors of $12x^3-2x^2+18x-3$ by grouping

Solution:

Factoring by grouping means that you will group terms with common factors before factoring

Given expression is:

$12x^3-2x^2+18x-3$

Group the first two terms together and then the last two terms together.

$(12x^3-2x^2)+(18x-3)$

We can see that $2x^2$ is common in first two terms

And 3 is common in last two terms

Factor them out

$(12x^3-2x^2)+(18x-3) = 2x^2(6x-1) + 3(6x-1)$

$2x^2(6x-1) + 3(6x-1)$

Thus option A is correct

6 0

1 year ago

Read 2 more answers