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andrezito [222]

2 years ago

13

Write the following expression in standard for a + bi

TexFormula1" title="\frac{6-i}{1+i}" alt="\frac{6-i}{1+i}" align="absmiddle" class="latex-formula">

1 answer:

Arte-miy333 [17]2 years ago

3 0

Answer:

5/2-7/2 i or 2.5-3.5i

Step-by-step explanation:

expand the fraction remove the parenthesis and then calculate

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Frieda friendly works for a local car dealership. she noticed that 3/4 of the cars were sedans and that half of them are white.

AleksandrR [38]

So 3/4 are sedans
1/2 of all sedans are white
(excluding the probability that there are probably other white, non-sedan cars out there)

so 1/2 of 3/4
'of' translates to multply
1/2 times 3/4=3/8
3/8 are white

6 0

3 years ago

Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4

vfiekz [6]

<span>The distance to the base of the tower is
tan 40=100/x

x=100/tan 40=119.18 m
from the top of the building, we know the adjacent side but not the opposite
tan 30=opposite/119.18
opposite is 119.18*tan30=68.81 m
The opposite side is the height of the tower ABOVE the apartment building. The tower itself is 100 m high, and the remainder of the height, 31.19 m, is the height of the building.</span>

7 0

3 years ago

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What is the largest number that can be rounded to 2500 when rounded to the nearest ten

Nookie1986 [14]

2499.9999999... is your answer

hope this helps

3 0

3 years ago

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The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder?

Radda [10]

Hello!

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

$A_l = 2*\pi*R*h$

$80 = 2*3.14*4*h$

$80 = 25.12\:h$

$25.12\:h = 80$

$h = \dfrac{80}{25.12}$

$h = 3.18 \to \boxed{\boxed{h \approx 3.2\:in}}\:\:\:\:\:\:\bf\green{\checkmark}$

Answer:

≈ 3.2 inches

________________________

$\bf\green{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}$

8 0

3 years ago

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For any integer x,x2-x will always produce an even value

Levart [38]

Consider expression $x^2-x.$ First, you can factor it:

$x^2-x=x(x-1).$

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, $x^2-x$ is always even.

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3 years ago