A helicopter hovers 1100 The above a small island the figure shows the angle of depression from the helicopter to point P is 46° how far off the coast to the nearest foot is the island?

Answer:

Step-by-step explanation:

1)  

The given angle is 57°   at least I think it is .  so we need to look at the triangle being formed inside the circle.   the legs from the center to the edge are both the radius. so they are the same lengths.   so that triangle is an isosceles.  and the two angle at the circles perimeter are going to be both the same, b/c that's a rule of an isosceles triangle.   so now we not both angles on the perimeter of the circle of that inner triangle are both 57°  :)  that's great, b/c now we can find the angle of the inner point of that triangle.   it's going to be  180 = 57 + 57 +  inner angle x  

180 - 57 -57  = inner angle x

66 = x    , so that inside angle on the isosceles is 66°  

that's great to know, that angle is also part of the bigger triangle that goes outside the circle and I'm pretty sure the angle that is at the top of the triangle , at least in the picture,  is a right angle or 90° sooo we now know two angle of the triangle and can figure our the  "?"  one.  :)

180 = 66 + 90 + ?

180-66-90 = ?

24 = ?

so that angle at the point with the "?" is 24 °  :)

2)

The given angle is 24°  :0   look above.. that last we we solved was also 24°

everything is the same in drawing 2, as in drawing 1.   We can simply use all the things we know about drawing 1..    The inside angle at the center of the circle will be 66 °  and the two angle out by the perimeter of the circle will be 57° just like in drawing 1.     They made that a little too easy  :D  Le'ts hope we get a few more like that  :)

3)

I'm just sure why the drew the circle in this drawing.  we don't need it to solve this triangle.  Maybe  you're not supposed to use this very common way to solve the triangle yet?   but maybe it's good to introduce it anyway?  since we are given the hypotenuse (long side) and the adjacent side (next to)  the angle we can just use SOH CAH TOA to find any angle or side of this triangle.    I'll put the useful remind of how trig functions ( sin, cos, ect.) fit on triangles and then we'll use them to find the parts we want. :)

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above down.  and put in in a handy place on your computer , for quick reference any time you have to solve a triangle.  it's really super helpful :)

okay now look at the triangle in question 3)  what do we know, and what do we want to find?   we know the Hyp and Adj and one angle and want to find the Opposite  (Opp) side from the known angle.  sooo we have a choice of SOH or TOA.. let's use SOH,  

SOH ⇒ Sin(Ф) = Opp / Hyp

Sin(53) = Opp/ 10

algebra skill engage :P

10* Sin(53) = Opp

7.9863551 = Opp  

so that side with the question mark is 8.0  long. ( rounded to nearest 10th)

4)

On this triangle we are given the Opp and the Adj sides and an angle and are asked to find the Hyp

which trig function would you like to use?

Let's use CAH this time.  We could also use SOH , but we just used that one. let's try out the "tools" of the trade :)

CAH ⇒ Cos(Ф) = Adj / Hyp

Cos(37) = 8/Hyp

use algebra skillz

Hyp = 8 / Cos(37)

use calculator to find  Cos(37) :/

Hyp = 10.01708

? = 10.0  ( rounded to nearest 10th )

5)

oh for this one we do need the circle, and I don't know why they want people to know this , nobody uses this math  :?  Anyway,  

there is a confusing formula for this type of problem

∠ = (bigger arc - smaller arc ) / 2

since we're given the 65° , we know that 2*65= 130 which is the angle of the bigger arc - smaller arc = 130 °

now we have to use our really keen algebra skillz to see that

if the total all the way around a circle is 360 and we have 130 of those left  so

eq. 1)  360 = big arc + small arc

then

360-smal arc = big arc

and

eq. 2)  130 = big arc - small arc

plug in for "big arc" what we know from above :P

130 = 360-small arc - small arc

130 = 360 - 2small arc

130 + 2 small arc = 360

2 small arc = 230

small arc = 115

:0  wow.. we solved it..  that was a lot of fancy algebra huh  :P

? = 115°  ( the small arc)

6)

same as 5

given 72°

72*2=144°

eq. 1)   360 = big arc + small arc

eq. 2 ) 144 = big arc - small arc

solve for big arc this time

360-bigl arc = small arc

now plug into eq. 2

144 = big arc - (360-big arc)

144 = big arc - 360 + big arc

144 = 2big arc - 360

144+ 360 = 2 big arc

504 =  2 big arc

252° = big arc

yay solved !! phew.. that was a lot of algebra.. :P

5 and 6 are tough, ask the teacher how many others got it  :)

Answer:

B. A square

Step-by-step explanation:

Answer:

121 donuts in each box

Step-by-step explanation:

969 divided by 8 = 121.125

(Ignore the remainder)

Step by step solution:

We know that there are 969 doughnuts, and there are 8 doughnuts per box. What we need to find out is how many boxes of doughnuts were made.

Step 1:

Set up an equation for Number of doughnuts (969) / Number of doughnuts per box (8) = Number of boxes made (x), which would look like this:

969/8 = x

Step 2:

Doing this, we can get 121.125, which leaves us with

121.125 = x

121.125 = 121.125

Which gives us the answer of 121.125, which we can shorten to 121, as the decimal is not necessary.

Checking our answer:

We can check our answer simply be rewording our 1st equation to solve for the number of doughnuts made. This would give us the equation Number of doughnuts per box (8) * Number of boxes made (121.125) = x. Solving this equation would look like

8 * 121.125 = x

969 = x

969 = 969

Answer: By completing the steps above we get 121, and we can check our work by rewording the problem to solve for the number of Doughnuts. Good Luck!

If you help me with my last question I will help you with this one

Answer:

b

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

bc 7x5=35 and under will work to but 7x6 will makeit 42 so 5is the best choice

hopes this helps :)

Answer:

A water bottle

Step-by-step explanation:

It's a water bottle because you cannot measure volume with a dollr bill or postage stamp.

Answer:

no it doesnt matter unless you do this The fundemetal principle of counting.

7 ways 3 people = 21 ways

Step-by-step explanation:

Answer:B

Step-by-step explanation: i have the same test

Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

Answer:

the top wpuld be 73.14 and i cant see the numbers at the bottom

Step-by-step explanation:

The total surface area of the given figure which has cone and hemisphere is 944.08 square inches

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Let us find the height of the cone by using pythagoras theorem

7²+h²=15²

49+h²=225

Subtract 49 from both sides

h²=225-49

h²=176

h=13.2

Now let us find surface area of cone

A=πr(r+√(h²+r²))

A = 482.5

The surface area of hemisphere is 3πr²

A=3×3.14×(7)²

=3×3.14×49

=461.58

The total surface area = 482.5+461.58

=944.08 square inches

Hence, the total surface area of the given figure which has cone and hemisphere is 944.08 square inches

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Answer:

136

Step-by-step explanation:

theory: sum of opposite interior angles is equal to exterior angle

do oh understand?

Step-by-step explanation:

x=75+61{ sum of of interior angle of triangle is is equal to its opposite exterior angle }

x=136°

ACD=x=136°

hope it helps.

the answer would be B. I used m a th way to find out what the answer was, you could use that app if you ever come across a similar question!

I'm positive its B.3

Step-by-step explanation:

Answer:

B. 3

Step-by-step explanation:

[tex]interquatile \: range = (Q _{3} - Q _{1}) \\ = ( ( \frac{3}{4} \times 6) - ( \frac{1}{4} \times 6)) \\ = (4.5 - 1.5) \\ = 3[/tex]

Answer:

The volume of the tissue is 42 cubic inches

Step-by-step explanation:

Given

[tex]Base\ Area = 8.4in^2[/tex]

[tex]Height = 5in[/tex]

Required

The volume of the tissue

This is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

So, we have:

[tex]Volume = 8.4in^2 * 5in[/tex]

[tex]Volume = 42in^3[/tex]

Answer:

perimeter of square=4×side

perimeter of square =4×13cm

perimeter of square = 52cm

area of square = side²

area of square = (13cm)²

area of square = 169cm²

Answer:

52 cm / 169 cm²

Step-by-step explanation:

To find the perimeter, we can add together the lengths of all the sides. Since the height and width of the square are the same length, we can tell all four sides are equal.

13 + 13 + 13 + 13 = 52

The perimeter is 52 cm.

The area is the length times the width of the shape, so we have to multiply 13 by 13.

13 · 13 = 169

The area is 169 cm².

The answer is the third option, 52 cm / 169 cm².

Good luck :)

Answer:

Step-by-step explanation:

In the screenshot

Answer:

-62

Step-by-step explanation:

(8 – 6b)(5 – 36)

(8 – 6b)(-31)

-248 + 186

-62

Answer:

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

Sample of 35:

This means that [tex]n = 35, s = \frac{17}{\sqrt{35}}[/tex]

What is the probability of having a sample mean of 116.8 or less for a random sample of this size?

This is the pvalue of Z when X = 116.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}[/tex]

[tex]Z = -0.42[/tex]

[tex]Z = -0.42[/tex] has a pvalue of 0.3372

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Answer:

50

Explanation:

The difference is always 5

The number 9.636363 is rational

Answer:

7 percent.

Step-by-step explanation:

Hope this helps!

Answer:

Area 108cm2

Step-by-step explanation:

triangle =1/2 ×base× height

rectangle =length × width

then add the area of each shape

Answer: The answer is 3.

Step-by-step explanation: You would multiply 9x1/3 which would give you 3. If you want to understand even better here's how to do so: Put 3(the answer that you got from multiplying 9x1/3) into the fraction 1/3 as 1. In other words,  it would look something like this 3/3. Then, just multiply the two numbers 3x3 and that equals 9, the number you started with.

Hope that this helped!!:)

Considering the provided information in the given question, we have :

We need to find how many seashells did Saniyah have left.

⇒ Number of seashells Saniyah have left = Total seashells – Number of seashells she gave to her sister

⇒ [tex] \sf {Left \: seashells = 9 - \Bigg \lgroup \dfrac{1}{3} \times 9 \Bigg \rgroup } [/tex]

⇒ [tex] \sf {Left \: seashells = 9 - \Bigg \lgroup 1 \times 3 \Bigg \rgroup } [/tex]

⇒ Left seashells = 9 – 3

⇒ Left seashells = 6

Therefore, Saniyah have left [tex] \bf {6 \: seashells } [/tex].

Answer:

I don't have a picture but since it is a rhombus, I'll give it my best shot.

IF those two angles are across from each other, they are equal, then:

2x+4 = 5x-5

add 5 to each side of the equation:

2x+9 = 5x

subtract 2x from each side:

3x = 9

divide both sides by 3:

x = 3

IF those two angles are adjacent, their sum is 180°, then:

2x+4 + 5x-5 = 180°

combine like terms:

7x - 1 = 180

add 1 to each side of the equation:

7x = 181

divide both sides by 7:

x = 25.86

Answer:

12% of 36 is 4.32

Answer:

[tex]P(Green\ or\ Red) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]White = 40[/tex]

[tex]Green = 24[/tex]

[tex]Red = 12[/tex]

[tex]Yellow = 24[/tex]

[tex]Blue = 20[/tex]

Required

[tex]P(Green\ or\ Red)[/tex]

The total numbe of candy is:

[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]

[tex]Total = 120[/tex]

This probability is calculated as:

[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]

For each, we have:

[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]

Take LCM

[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]

[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]

[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]

[tex]P(Green\ or\ Red) = 0.30[/tex]

Answer:

3 / 10

Step-by-step explanation:

The required outcome = mexico ; number of spins = 6 spins

Total possible outcomes = sum. Of all spins = (6 + 4 + 5 + 5) = 20

P(Mexico on next spin) = required outcome / Total possible outcomes

P(Mexico on next spin) = 6 / 20 = 3 / 10