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Alja [10]
2 years ago
13

16. What is the total number of different eight-letter arrangements that can be formed

Mathematics
1 answer:
lilavasa [31]2 years ago
4 0
The answer is 64 because u have to times 8 (number of letter arrangements) by 8 (number of letters in the word)
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Trigonometry
Alchen [17]

The area of the triangle PQR is 17.6 square units.

Explanation:

Given that the sides of the triangle are PQ = 12 and PR = 3 and m\angle P = 78^{\circ}

We need to determine the area of the triangle PQR

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

\text {Area}=\frac{1}{2} qr \sin P

Substituting the values, we get,

\text {Area}=\frac{1}{2}(12)(3) \sin 78

Simplifying, we have,

\text {Area}=\frac{1}{2}(36)(0.98)

Multiplying the terms, we have,

\text {Area}=\frac{35.28}{2}

Dividing, we get,

\text {Area}=17.64

Rounding off to the nearest tenth, we have,

Area=17.6

Thus, the area of the triangle PQR is 17.6 square units.

3 0
3 years ago
Read 2 more answers
Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
Peter paid $12.83 for a dvd. The price of the dvd was $11.98. How much sales tax did peter pay?
ArbitrLikvidat [17]
Peter paid 0.85 tax which is at 7.1% sales tax
6 0
3 years ago
The sum of two number is 50,and their difference is 30.find the numbers​
Mrac [35]

Answer:

40 and 10

Step-by-step explanation:

if you add them you get 50 and if you subtract them you get 30

6 0
3 years ago
Read 2 more answers
1.64 as a fraction in simplest form
mrs_skeptik [129]
<span>The correct answer is 1 16/25.

Explanation<span>:
This is read as "one and sixty-four one-hundredths." This means the fraction would be 1 64/100.

Both numerator and denominator are even, so we will divide both by 2 and get 1 32/50.

Again, both are even, so we divide by 2 again and get 1 16/25.</span></span>
4 0
3 years ago
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