Someone please solve and explain part a(i)

Someone Please Solve And Explain Part A(i)

Answers

Answer 1

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m


Related Questions

An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?

Answers

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!

Answers

Answer:

why did you need to play with you are you board of playing then stop playing game

What’s that. Anyways thanks for 5 points.

If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate

Answers

Answer:

6%

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

2400=4000x r x 10

2400=40000r

2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6

PLS HELP ASAP ILL GIVE BRAINLKEST

Answers

Answer:

4th option

Step-by-step explanation:

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?

b. Can he buy 2 pair of pants and 4 shirts?

c. Show the solution graphically.

Please answer quickly!

Answers

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

3/10y - 2/5 i need to find the coefficient and i dont know how

Answers

[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]

solve the equation.

[tex]\sqrt{x(x+2)} = 0[/tex]

Answers

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

5^-15 rewritten using a positive exponent.

Answers

Answer: 1/5 to the power of 15

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

Answer:

68ft

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

How to synthetically divide polynomials.

Answers

Answer:

Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.

Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.

Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.

Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.

Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:

-2| 1  2  -4  8

   ↓

   1

Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:

-2| 1  2  -4  8

       -2

   1

Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:

-2| 1  2  -4  8

       -2

   1   0

Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:

-2| 1  2  -4  8

       -2  0  

   1  

Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:

-2| 1  2  -4  8

       -2   0  

   1   0   -4

Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

   x2   + 0x    - 4    R 16

x2 - 4 R16

Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).

Step-by-step explanation:

That was quite long, but those are the steps to synthetically divide polynomials.

Simplify the expression.
I NEED HELP PLEASE!!!

Answers

Answer:

-27/64p^3  

Tell me if you want a step by step. :)

I just woke up i need help ;-;

Answers

Answer:

i think that the correct answer is 7/12

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Answer Please will give brainliest.

Answers

Step-by-step explanation:

blue is natural: 1, 4, 0, 2 and root of 25.

green is whole: -9 and -15.

yellow is rational: 2/3

orange is irrational: pi and root of 15.

white is real numbers.

don't know about that purple one.

Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)

Answers

Answer:

t=(v-u)/a

hope it will help you

There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items

Answers

190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x

Simplifying, we get that x=10x=10.

its 10

Gigi graphs the parabola (x+1)2=2(y−3).

How does she proceed?

Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.

Answers

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer:

I took the quiz.

Step-by-step explanation:

The elevators in an office building have been approved for a maximum load of 3,600 pounds.

Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?

Plz help thx.

Answers

Answer:

w [tex]\leq[/tex] 3,600

Step-by-step explanation:

[tex]\leq[/tex]  means less than or equal to.

Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?

Answers

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

can someone help me plsss

Answers

Answer:

c=23/24

Step-by-step explanation:

 c+3/8=1/1/3

 c+3/8=4/3

c+9/24=32/24

        c=32/24-9/24

         =23/24

What is the slope of the equation Y= 5/4 x - 7/4?

a. -7

b. -7/4

c. 5/4

d. 5

Answers

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG

Answers

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?

Answers

I think the answer is 4 because you add the 10 and 2 and you get 12 and then divide that by how many hens there are (3). The answer is 4

5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)

Answers

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

300
O
3) What is the value of x?
69'
7090
7100
3D

Answers

Answer:

71°

Step-by-step explanation:

exterior angle = sum of two opposite interior angle

142°=2x°

x°=142°/2

x°=71°.

hope this helps you.

y = 147° ( Vertically opposite angles)

[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.

Answers

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

I need it right now .

Answers

Answer:

y=9

a=1.5

n=74

v=8

k=11

a. y=14
b. a=6.5
c. n=-226
d. v=12
e. k=11

Help me please I’m bad at slopes

Answers

The slope of this line is 1/1
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