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1 year ago

101.19 / 4 using long division

Mathematics

1 answer:

vazorg [7]1 year ago

7 0

25.3 is the answer to your problem

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If D = Z + 6 and C = -2 + Z - Z^2, find an expression that equals 3D + C in standard form

kykrilka [37]

Answer:

4Z+16-Z²

Step-by-step explanation:

Given that,

D = Z+6

C = -2 + Z - Z²

We need to find the value of 3D+C.

So,

3D+C = 3(Z + 6)+(-2 + Z - Z²)

= 3Z+18-2+Z-Z²

= 4Z+16-Z²

So, the required expression is 4Z+16-Z².

6 0

2 years ago

Find the value of x and y.

Leya [2.2K]

Answer:

x = 63 y = 27

Step-by-step explanation:

The straight line is 180 degrees

subtract 117 from 180 to get 63

It says x+7= 90, so subtract x(63) from 90 to get 27

4 0

2 years ago

a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investm

klio [65]

Let the first investment be x
and second be 3000-x

so 3%of x + 4% of (3000-x) = 107
By solving x = 1300

First investment is 1300
second investment is 1700

7 0

3 years ago

X+5 divided by 3 is less than or equal to 2

hichkok12 [17]

$\frac{x+5}{3} \leq 2$
times both sides by 3
x+5≤6
minus 5 both sides
x≤1

5 0

3 years ago

Vector u has a magnitude of 5sq rt 3 feet and is directed due west. Vector v has a magnitude

Vikki [24]

The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively

The formula for calculating the resultant vector is expressed as:

$R^2 = u^2 + v^2\\R =\sqrt{u^2+v^2}$

Given the following distances:

u = -5√3 feet (west direction)

v = 5 feet

Substitute the given values into the formula above;

$R=\sqrt{(5\sqrt{3} )^2+5^2} \\R=\sqrt{(25 \times 3)+25}\\R=\sqrt{75 + 25}\\R=\sqrt{100}\\R = 10 feet$

The magnitude of the resultant vector is 10feet

Get the direction:

$\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}\frac{5}{-5\sqrt{3} }\\\theta =tan^{-1}\frac{-1}{\sqrt{3} }\\\theta = -60^0$

Since tan is negative in the second quadrant, hence;

$\theta = 180 - 60\\\theta = 120^0$

Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.

Learn more here: brainly.com/question/5177683

7 0

2 years ago