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Licemer1 [7]
3 years ago
7

Write two division expressions that have the same value as 36.8 divided by 2.3 (16)

Mathematics
1 answer:
yarga [219]3 years ago
7 0

64 divided by 4=16

144 divided by 9=16

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Calculate the product: 4/5 x 55
Mars2501 [29]
4/5 x55
=4/5*55/1
=(4*55)/(5*1)
=220/5
=44/1
=44
5 0
3 years ago
Evaluate the expression and write your answer in the form a + bi. 1) (2-6i)+(4+2i)2) (6+5i)(9-2i)3) 2/(3-9i)4) (3 − 5i)(7 − 2i)
laiz [17]

Answer:

Step-by-step explanation:

Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.

1) (2-6i)+(4+2i)

open the parenthesis

= 2-6i+4+2i

collect like terms

= 2+4-6i+2i

= 6-4i

2)  (6+5i)(9-2i)

= 6(9)-6(2i)+9(5i)-5i(2i)

= 54-12i+45i-10i²

= 54+33i-10i²

In complex number i² = -1

= 54+33i-10(-1)

= 54+33i+10

= 54+10+33i

= 64+33i

3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i

= 2/3-9i*3+9i/3+9i

=2(3+9i)/(3-9i)(3+9i)

= 6+18i/9-27i+27i-81i²

= 6+18i/9-81(-1)

= 6+18i/9+81

= 6+18i/90

= 6/90 + 18i/90

= 1/15+1/5 i

4) For (3 − 5i)(7 − 2i)

open the parenthesis

= 3(7)-3(2i)-7(5i)-5i(-2i)

= 21-6i-35i+10i²

= 21-6i-35i+10(-1)

= 21-41i-10

= 11-41i

4 0
3 years ago
Using the formula find the slope of a line with the points (10,20) and (30,50).
VARVARA [1.3K]

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

3 0
3 years ago
The circumference of a circle is 24pi ft. What is the area, in square feet?
dexar [7]

Answer:

144π

Step-by-step explanation:

we need the radisu

circumference formula: 2πr

2πr=24π

12=r

area formula:

πr²

12²π= 144π

8 0
3 years ago
A triangular table has angles with measures in the ratio 7:9:4. What is the measure of the smallest angle?
Paraphin [41]
The angles must add to 180 degrees.
Since the angles are in the ratio 7:9:4, their measures are not 7, 9, and 4 since 7, 9, and 4 do not add to 180.  If you multiply 7, 9, and 4 by the same number, the new numbers will be in the same ratio. Since we do not know what that number is, we can use x for it.

Multiply 7, 9, and 4 by x to get
7x, 9x, and 4x.
Now add them and set equal to 180.
Then solve for x.

7x + 9x + 4x = 180

20x = 180

x = 9

Now that we know x equals 9, substitute x with 9 and evaluate 7x, 9x, and 4x to find the actual angle measures.

7x = 7 * 9 = 63
9x = 9 * 9 = 81
4x = 4 * 9 = 36

The angles measure 63, 81, and 36 degrees.
8 0
3 years ago
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