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Umnica [9.8K]
3 years ago
5

A right triangle has one angle that measure 23. The adjacent leg measures 27.6 cm and the hypotenuse measure 30 cm. What is the

approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2 bh
Mathematics
1 answer:
frez [133]3 years ago
4 0
Two ways to find the base 
sin(23) = x/30
x = 30*sin(23) = 11.7
or pythagorean theorem
base = 30^2 - 27.6^2  = 11.7 

A = 1/2(11.7)(27.6) = 161.5 cm^2

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A rectangle has a height of a² + 3 and a width of a² + 2a + 5.
valentina_108 [34]

Answer:

Area =  a^4+2a^3+8a^2+6a+15

Step-by-step explanation:

The area of a rectangle is given by:

Area = Height * Width

The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.

Remember to use distributive property:

(a+b)(x+y) = ax + ay + bx + by

Thus, we have:

(a^2+3)(a^2+2a+5)\\=(a^2)(a^2)+(a^2)(2a)+(a^2)(5)+3a^2+6a+15\\=a^4+2a^3+5a^2+3a^2+6a+15\\=a^4+2a^3+8a^2+6a+15

THis is the expression for area.

5 0
3 years ago
Please someone help me out. I beggggg
bezimeni [28]

Answer:

1.  144  2. 16 3. 1   4. 3x-6  

Step-by-step explanation:

So think of this as a function in a function.  So you work from the inside to the outside.  So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).  

Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]

so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)

So take the h(x) function which is h(x) = x^{2} then h(12) = 12^{2} so h(12) = 144

4 0
2 years ago
Simplify 
aleksandr82 [10.1K]

Answer:

A. 7- i

B. -20 -10i

C. 50

D. -1 +2i

Step-by-step explanation:

7 0
3 years ago
Challenge question<br>please help<br>​
Pani-rosa [81]

Answer:

The 3 possible values of x are;

6, 4 and 2

Step-by-step explanation:

If the triangle is isosceles, then two of the sides must be equal

So we equate the sides, 2 at a time to get the different values of x

3x + 4 = 2x + 10

3x-2x = 10-4

x = 6

3x + 4 = x + 12

3x-x = 12-4

2x = 8

x = 8/2 = 4

2x + 10 = x + 12

2x - x = 12-10

x = 2

7 0
3 years ago
Can someone please help with this question? Please A cylindrical tank has a radius of 15 ft. and a height of 45 ft. How many cub
Reil [10]
I did the problem myself and my teacher always said thatif you don't get the exact answer then round to the closest one. The answer that i got was 31,808.6, the closest one to that would be letter C.
8 0
3 years ago
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