3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25°. He then walks 5 km to the hut at H and takes a second bearing, 345°

(a) Work out the angles in the triangle. Show it is a right angled triangle.

(b) From the mountain at M, what is the bearing of the camp?

(c) How far is it from the camp to the mountain?

(d) Tim walks back to camp from the hut. What bearing does he follow?

Answer:

What makes a number friendly?

In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.

Step-by-step explanation:

Answer:

False    -5.25 is < (less than) -3

Step-by-step explanation:

Answer:

6237

Step-by step explanation

60 x 30 = 1800

30x3=90

9x60=540

9x3=27

1800+90+540+27=6237

Answer:

yes Bro it is correct ar u writing an exam

Answer:

3

Step-by-step explanation:

First of all simplify 4/5 to .8

Then Multiply:    .8*3.75=3

9514 1404 393

Answer:

  4/5×3.75 = 3

Step-by-step explanation:

There are many solution strategies available. Among them are ...

__

Additional comment

The mental arithmetic involved in adding a number to itself (doubling a number) is usually pretty easy. This means it is relatively easy to multiply by powers of 2, such as 4, 8, or 16. The second strategy listed above can be done in your head as ...

  8/10×3.75 = 2×(2×(2×3.75))/10 = 2×(2×7.5)/10 = 2×15/10 = 30/10 = 3

The same product can be found as ...

  8/10×3.75 = 8×(3.75/10) = 8×0.375 = 8×(3/8) = 3

In all cases, it is helpful to know your times tables, decimal equivalents of common fractions, and a few shortcut strategies for mental arithmetic. These are not difficult, but they do require you put some effort into memorizing them.

(f+g)(7)=f(7)+g(7)

Step-by-step explanation:

A) f(7)=7²=49 and g(7)=√5=~2,2 and 49+2,2=51,2

B) f(7)/g(7)=49/2,2= 22,2

-3/5  is greater than -4/5

Step-by-step explanation:

If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.

Answer:

19 19/20 in fraction

19.95 as a decimal

Step-by-step explanation:

Answer:

19 and 19/20

Step-by-step explanation:

The bar in a fraction stands for dividing

so you divide 399 by 20 which is 19 and 19 remainder

you turn the remainder into a fraction and the number into a whole number

Answer: the sun is 389.015069067 times further away from earth to the moon

Step-by-step explanation: 92935700/238990=389.015069067

Answer:

-9m-4

Step-by-step explanation:

Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:

-4 + 4 = 0

9m ‹ 5m

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 87}{25}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 87}{25}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{125 - 87}{25}[/tex]

[tex]Z = 1.52[/tex]

[tex]Z = 1.52[/tex] has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at https://brainly.com/question/24863330

Answer:

4624 hope this helps

[tex] \sqrt{2 ^{2} } \times \sqrt{17} [/tex]

4. Simplify the radical expression and get

[tex]2 \sqrt{17} [/tex]

Step-by-step explanation:

thanks for the 5 points

......

Answer:

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

As a decimal 253 and 19/23 can be written as 253.73

If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.

Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.

Answer:

$4.03

Step-by-step explanation:

because 15% of 3.50 is 0.525

take 0.525 and round it up (0.53)

3.50 + 0.53 = $4.03

Answer:

$4.03

Step-by-step explanation:

there are two ways to work this problem:

a) find out what 15% of 3.50 and add it to 3.50; requires two steps

b) multiply 3.50 and 1.15 which will give you the answer in one step

Solutions:

a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny

now add 3.50 and 0.53 to get 4.03

b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03

Answer:

[tex]\sf\longmapsto \: x = 6[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 12[/tex]

[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]

[tex]\sf\longmapsto \: x = 6[/tex]

Answer:

x = 6

Step-by-step explanation:

Hey there,

[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]

[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]

Answer:

-23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + c

f(4) = -7

Step 2: Solve for c

Step-by-step explanation:

customer need to purchase each year to save money = 100/15 × $12

= 1200/15

= $80

Answer:

Step-by-step explanation:

To save money, the customer needs to save the cost of the card first.

Solve it by ratios:

Solve for x:

Answer:

Horizontal Asymptote:    y=2

Vertical Asymptote: x=3

Step-by-step explanation:

One way: Look at graph

Look at for a horizontal or vertical line that both lines don't touch.

Second Way:

When you look for vertical asymptotes, you set the denominator equal to zero and solve.

For example, the second question has a denominator of x-3.

x-3=0

x=3 (This is the vertical asymptote)

When you look for horizontal asymptote, you do long division.

For example, the first question [tex]f(x)=\frac{2x}{x-3}[/tex]

The answer will be 2. 2 is the quotient. You only want quotient not remainder.

y=2.

Answer:

-28

Step-by-step explanation:

You have to do the parenthesis 1st, then the [tex]\frac{8}{3}[/tex], and multiply the result :D

Answer:

4(2x+3)

Step-by-step explanation:

8x+12

factor out 4

4(2x+3)

Answer:

The answer is 4

Step-by-step explanation:

2(2/3)2(1/2)3

Answer:

seven and a half

Step-by-step explanation:

Answer:which one

Step-by-step explanation: which one 50

Answer:

$37.52

Step-by-step explanation: