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mario62 [17]
2 years ago
9

Given the exact value for sides a and c.

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

a =  15 sqrt 2   sin 45

   = 15 sqrt 2  * sqrt( 2 ) /2  = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

   c =   15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

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A triangle whose angles have measures x x+5 and x+10
nirvana33 [79]
<span>the correct question is
A triangle whose angles have measures x x+5 and x+10.</span><span>How do you find the measure of each angle?

we know that
The </span><span>Sum of internal angles of any triangle = </span><span>180<span>∘
so
[x+(x+5)+(x+10)]=180---------------> 3x+15=180----------> 3x=165-------> x=55</span></span>°

the answer is
the measure of each angle is 
x=55°
x+5=60°
x+10=65°
4 0
4 years ago
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that
Alex73 [517]
This is an arithmetic sequence with first term 2 and common difference 7. The general term a[n] can be written as
  a[n] = 2 +7(n -1)
or
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7 0
3 years ago
What is the area of this triangle expressed as a monomial? height is 9x width is 6x
fiasKO [112]

Answer:

The area of triangle expressed as a monomial is 27x^{2}

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

In this problem we have

h=9x\ units

b=6x\ units

substitute

A=\frac{1}{2}(6x)(9x)=27x^{2}\ units^{2}

4 0
3 years ago
An artist is creating a stained glass design. She uses a lead border around each piece. The radius of the circle is 2 ¼ in. Use
NARA [144]

Answer:

The correct answer is -

a. 4.5 inches.

b. side or arm (a)

c. (a) or 4.5, and 18

d. (d) 4.5, and 14.1428

e. 22/7 × r^2 = 15.90

Step-by-step explanation:

Given :

Radius or r = 2 ¼ inches

Solution:

a. the diameter of the circle -

d = 2r

= 2 ¼  *2

= 2.25*2

= 4.5

b. The diameter of the circle is the same length as one side or arm of the square which is

a = d = 4.5

c. The perimeter of the square

P = 4a = 4d = 4*4.5 = 18

d. Perimeter of the circle =

2πr = πd = (22/7)*4.5

= 14.1428

e. the area of the circle =

22/7 × r^2

= 15.90

4 0
3 years ago
The gold leaf on your necklace is 0.000045 of an inch thick. How do you write 0.000045 in scientific notation?
kirill115 [55]
The answer would be 4.5 × 10^{-5}
6 0
3 years ago
Read 2 more answers
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