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3 years ago

8

PLSSS ANSWER!!!!!!!!!!!!

1 answer:

Brums [2.3K]3 years ago

5 0

Look at the picture.

The formula of an area of a triangle:

$A_\Delta=\dfrac{1}{2}ab\sin\alpha$

In the equilateral triangle, the measures of all angles are the same and equal to 60°.

Therefore your answer is:

$\dfrac{1}{2}aa\sin(60^o)=\dfrac{1}{2}a^2\sin(60^o)$

You might be interested in

How many different 11-letter arrangements can be made using the letters in the word Firecracker?

zhenek [66]

Answer:

Total number of arrangements = 1,663,200

Step-by-step explanation:

Given:

11 - letter

FIRECRACKER

F = 1

I = 1

R = 3

E = 2

C = 2

A =1

K = 1

Find:

Total number of arrangements = ?

Computation:

Note: Repeated letter will be avoid.

$Number\ of\ arrangements = \frac{!11}{!3 \times !2 \times !2}\\\\Number\ of\ arrangements = \frac{!11}{!3 \times !2 \times !2} \\\\Number\ of\ arrangements = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3}{3 \times 2 \times 2 } \\\\Number\ of\ arrangements = 1,663,200$

Total number of arrangements = 1,663,200

6 0

3 years ago

The value of a two-digit number is 10 more than 3 times the sum of its digits. The units digit is 1 more than twice the tens dig

mrs_skeptik [129]

Answer:

49

Step-by-step explanation:

the number is "ab" (2 digits).

ab - 10 = 3×(a+b)

a number is actually the sum of multiplying the digits with their associated powers of 10.

a×10 + b - 10 = 3a + 3b

7a - 2b = 10

b-1 = 2×a

b = 2a + 1

7a - 2×(2a+1) = 10

7a - 4a - 2 = 10

3a = 12

a = 4

b = 2×4 + 1 = 9

8 0

3 years ago

Our class has 50 students. Assuming that no students are born on leap days (February29), what is the probability that no two stu

madreJ [45]

Answer: a) $\dfrac{799}{31250}$ b) $\dfrac{30451}{31250}$

Step-by-step explanation:

Since we have given that

Number of days in a year = 365

Number of students = 50

Probability that no two students share the same birthday. It means each student has different birthday.

Probability(no two students share the same birthday) $=\dfrac{365-1}{365}\times \dfrac{365-2}{365}........\times \dfrac{365-50}{365}$

Probability(no two students share the same birthday) $=\dfrac{^{365}P_{50}}{365^{50}}$

Probability(no two students share the same birthday) $=\dfrac{799}{31250}\approx 0.025568$

Probability that at least one of the students has the same birthday as another student in the class is given by

$1-P(\text{no student share the same birthday})\\\\=1-\dfrac{799}{31250}\\\\=\dfrac{30451}{31250}=0.974432$

5 0

3 years ago

Help! I’ll give Brainly! It’s not 2,875 , thank you !!

olchik [2.2K]

9514 1404 393

Answer:

$2,617.50

Step-by-step explanation:

Using this table, the tax is ...

tax = 2% × $3000 + 3% × (5000 -3000) + 5% × (17000 -5000) + ...

5.75% × (50,000 -17,000)

= $60 + 60 + 600 + 1897.50

tax = $2,617.50

__

<em>Additional comment</em>

Above $17,000, the tax is more easily computed as ...

tax = (5.75% × income) - 257.50

Each tax bracket can have a simplified formula like this.

8 0

3 years ago

What is the volume of the rectangular<br> pyramid shown?<br> 22 yd.<br> 20 yd<br> 15 yd

borishaifa [10]

Answer:

C. <em>3,300</em>

<em />

Step-by-step explanation:

5 0

3 years ago