Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the angle from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done

Answer:

114 red marbles, 6 black marbles.

Step-by-step explanation:

120/20=6

6*19=114

Answer:

21

Step-by-step explanation:

1. (-4)2= 16

2.15/(-3)= 5

3. 16+5=21

Answer:

11

Step-by-step explanation:

First do -4^2

Then divide -15 and -3

Then 16-5

11

[tex]f(x) = x + 2[/tex]

[tex]y = x + 2[/tex]

Subtract the sides of the equation minus 2

[tex]y - 2 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = x - 2 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Arithmetic

Step-by-step explanation:

Since the common difference remains the same between terms, its arithmetic!

The first five terms of the given AP is 8, 20, 32, 44 ,56.

A sequence is a list of numbers written in form of a constant difference or ratio.

According to the given question the given question the first term (a₁) of the AP is 8 and the common difference (d) is 12.

This is an AP because given in the question it self of common difference.

We know than n term of an AP is aₙ = a₁ + (n-1)d.

Given,

a₁ = 8.

a₂ = 8 + (2-1)12

a₂ = 8 + 12

a₂ = 20.

Similarly.

a₃ = 32.

a₄ = 44.

a₅ = 56.

learn more about AP here :

https://brainly.com/question/16947807

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Answer:

8/12 or 2/3

Step-by-step explanation:

Answer:

[tex](2 \times 7) - (9 \times 6) = - 40[/tex]

Answer:

480

Step-by-step explanation:

u multiply 10x6x8=480

Answer:

2J-70

Step-by-step explanation:

Answer:

I believe its true, Im reallly sorry if its wrong

Step-by-step explanation:

Answer: the range is 41, when finding the range you're finding the difference between the largest number and the smallest number so 42-X=1=41

Step-by-step explanation: when finding the domain you're simplifying the number, but since 41 can't be simplified it remains as 41

... The End

Answer:

What are your choices

Step-by-step explanation:

Answer:

It would be A.

Step-by-step explanation:

You can simply add the numbers to coordinates to see if matches.

For example, if you add the x + 2 to -3 and 2, its -1 and 4. Then if you add y+3 to -1 and 1, it's 2 and 4. I hope that makes sense :)

Answer:

2

Step-by-step explanation:

plug in the answer

The value of x from the given angles is 6.3.

Given that, m∠4=(10x+5)° and m∠5=(20x−15)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the figure given below,

m∠4+m∠5 = 180° (Adjacent angles adds upto 180 degree)

⇒ (10x+5)°+(20x−15)° = 180°

⇒ 10x+20x+5-15 = 180°

⇒ 30x-10 = 180°

⇒ 30x=190

⇒ x=190/30

⇒ x=6.3

Therefore, the value of x from the given angles is 6.3.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

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Answer:

6m + 5

Step-by-step explanation:

Answer:

6 +5 m

Step-by-step explanation:

Here all the given equations are in the form of

[tex]ax^2+bx+c=0[/tex]

The value of [tex]x[/tex] can be determined by the perfect square method as follows:

[tex]ax^2+bx+c=0[/tex]

[tex]\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0[/tex]

[tex]\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0[/tex]

[tex]\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}[/tex]

[tex]\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)[/tex]

Now, for [tex]x^2+3x-4=0[/tex]

[tex]a=1, b=3, c=-4[/tex]

So, from equation (i)

[tex]x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}[/tex]

[tex]\Rightarrow x=\frac{3\pm5}{2}[/tex]

[tex]\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}[/tex]

[tex]\Rightarrow x= 4, -1[/tex]

Similarly, for [tex]9x^2+12x+4=0[/tex]

[tex]a=9, b=12, c=4[/tex]

So, from equation (i)

[tex]x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}[/tex]

[tex]\Rightarrow x=\frac{-12\pm0}{18}[/tex]

[tex]\Rightarrow x=\frac{-2}{3}[/tex]

For [tex]x^2-2x-3=0[/tex]

[tex]a=1, b=-2, c=-3[/tex]

[tex]x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{2\pm\sqrt{16}}{2}[/tex]

[tex]\Rightarrow x=\frac{2\pm4}{2}[/tex]

[tex]\Rightarrow x=\frac{6}{2},\frac{-2}{2}[/tex]

[tex]\Rightarrow x=3.00, -1.00[/tex]

For [tex]x^2-6x+9=0[/tex]

[tex]a=1, b=-6, c=9[/tex]

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{6\pm0}{2}[/tex]

[tex]\Rightarrow x=3.00[/tex]

For [tex]2x^2-4x-3=0[/tex]

[tex]a=2, b=-4, c=-3[/tex]

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}[/tex]

[tex]\Rightarrow x=\frac{4\pm\sqrt{40}}{4}[/tex]

[tex]\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=2.58, -0.58[/tex]

Answer:

greater than or equal to 1 and less than 10.

Step-by-step explanation:

The first number in scientific notation must be ...

greater than or equal to 1 and less than 10.

Answer:

16

Step-by-step explanation:

4 1/4

8 1/4

12 1/4

16 1/4

Answer:1.99

Step-by-step explanation:

520 × 7.65= 39.78

546 × 7.65 = 41.77

41.77 - 39.78 =1.99

Answer:

I would say 0 if you add it all to be honest, but I’m not TOO aware- Hope this helps at least a bit!

Step-by-step explanation:

Answer:

A-> a(n)=a+(n-1)d

B-> Yes, I do agree

Step-by-step explanation:

A=   a+(n-1)d

where a=the first term

           n=the term's location

           d= the difference between two adjacent terms

B= I agree

a3=12+2d=4.........equation 1

          2d=-8

             d=-4

a10=12+9d=-24.....equation 2

            9d=-36

              d=-4

Hence, to find the next term of the sequence, add -4 to  the previous term.

{I hope this answers your question}

Answer:

C (3rd one) is the answer since -5 is the smallest and 3 being the biggest.

Step-by-step explanation:

-5 -2 1 3

Answer:

The answer is the 3rd choice!! In letter options, Option "C"!!!

Step-by-step explanation:

Hope I helped!!! Have great day ahead!!

#StayKind #BeBlessed #ThisGirlBlessed

Answer:

40°

Step-by-step explanation:

Ratio of two supplementary angles = 2 : 7

The angles are 2x , 7x

2x + 7x = 180  {Supplementary}

       9x = 180

         x = 180/9

x = 20

Acute angle = 2x = 2*20 = 40

Answer:

a - 8^2

b-2^8

c-4^2

d-2^4

Answer:

The first on the left is the last one on the right, the second on the left is the second on the right, the third on the left is the third on the right, and the fourth on the left is the first on the right. Hope this helps.

Step-by-step explanation:

Answer:

x < -8

Step-by-step explanation:

I used a calculator

Answer:

x<-8

Step-by-step explanation:

Let's solve your inequality step-by-step.

122<−2(8x+3)

Step 1: Simplify both sides of the inequality.

122<−16x−6

Step 2: Flip the equation.

−16x−6>122

Step 3: Add 6 to both sides.

−16x−6+6>122+6

−16x>128

Step 4: Divide both sides by -16.

−16x /−16 > 128 /−16

x<−8

Answer:

11.9

Step-by-step explanation:

just add the two numbers :)

Answer:

the answer 11.9

Step-by-step explanation:

add by lining up the decimals

Answer:

Damon is 18, Damon's brother is 11 years old.

Step-by-step explanation:

So, the total age of them both is 29. Damon is 7 years older, so we use 29-7=22. Now, 22 is Damon's brother's age times 2, so we use 22/2=11. 11 is Damon's age is 11+7=18, and His brothers age is 11.

Answer:

daman's age = (7+x)

let his brother's age be 'x'

according to the question,

(7+x) + x =29

7+x+x = 29

2x = 29 - 7

2x = 22

x = 22÷2

x = 11 = age of daman's brother

age of daman = 7+11 = 18

Answer:

20/10 equals 2 rows. This is division

Step-by-step explanation:

Since you have 20 cupcakes and you put 10 in each row, you have to divide 20/10=2. This is your calculation.