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4 years ago

Simplify 3r+n2-r+5-2n+2

Mathematics

2 answers:

Ksenya-84 [330]4 years ago

8 0

2r+7+2n+n2

Because I combined the ones with like terms.

Free_Kalibri [48]4 years ago

3 0

Answer:2r-n2+7

Step-by-step explanation:combine all like terms

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Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the

kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

$\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}$

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

$\frac{a}{sinA} = \frac{b}{sinB}$

$\frac{28}{sinA} = \frac{12}{sin25}$

Cross multiply:

$28 sin25 = 12 sinA$

$11.83 = 12 sinA$

$Sin A = \frac{11.83}{12}$

$Sin A = 0.986$

$A = sin^-^1(0.986)$

$A = 80.44 degrees$

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0

3 years ago

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

$d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

$y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7$

So we have two points (-1, -9) and (3, 7) so:

$d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}$

Notice both equations gave the same length $4\sqrt{17}$ .

5 0

4 years ago

F(x+8)=x^2+2x+2 i need to simplify that

Rudiy27

Answer:

Step-by-step explanation:

whatthe letters nubers

4 0

3 years ago

50-10x=20 what is the value of x in this problem

Andrew [12]

So what I did was I wrote down the problem 50 - 10x = 20.

The first step I did was take 50 and subtract it from both sides: 50 - 10x = 20
-50 -50
After that i cross out the so 50's and take 20 and subtract it to 50 which gave me -30. So when you write this down you rewrite it as: -10x = -30

Last step: take the -10 and divide it by both sides the cross out the two -10's cause it's going to be written as -30/-10 which would give you x = 3. So there is your answer, hope this helps. :)

~Shadow

7 0

3 years ago

David rolls a fair dice 240 times. <br> How many times would David expect to roll a three?

jolli1 [7]

Answer:

Step-by-step explanation:

There are 6 numbers on an dice (1-6) Divide 240 by 6 and the reasonable amount of times to roll a 3 is 40 time

4 0

4 years ago