Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters away from the hook. If Michelle is 20 meters away from the fish, how far below Michelle is the hook?

Answer:

x = 7

y = -2

Step-by-step explanation:

Equation 1:  2x + y = 12

Equation 2:  x - y = 9

Rewrite Equation 2 to make x the subject:

⇒ x = 9 + y

Substitute this into Equation 1 and solve for y:

⇒ 2(9 + y) + y = 12

⇒ 18 + 2y + y = 12

⇒ 18 + 3y = 12

⇒ 3y = -6

⇒ y = -2

Substitute found value of y into the rewritten Equation 2 and solve for x:

⇒ x = 9 + (-2)

⇒ x = 7

Step-by-step explanation:

2x + y = 12 equ 1

x - y = 9 equ 2

from equ 2 make x the subject

x - y = 9

x = 9 + y equ 3

substitute equ 3 to equ 1

2x + y = 12

2(9 + y ) + y = 12

18 + 2y + y = 12

3y = - 6

y = -2

substitute y = -2 into equ 3

x = 9 + (-2)

x = 9 - 2 = 7

(x, y) = (7, -2)

let's prove and see if we are correct

2x + y = 12

input the values of (x, y) = ( 7, -2) into the question

2(7) + (-2) = 12

14 - 2 = 12

12 = 12

for the second equation

x - y = 9

Input the values of (x, y) = ( 7, -2) into the question

7 - (-2) = 9

7 + 2 = 9

9 = 9

Answer:

I think you meant cm, not em. So the answer is 6 cm.

Step-by-step explanation:

18cm x 6cm = 108 cm

Answer:

option c

Step-by-step explanation:

Let the sides of the right angled triangle = x , (x +1) , (x +2)

Perimeter = 12 feet

x + x +1 + x + 2 = 12

x +x + x + 1+2 = 12

Combine like terms

3x+  3 = 12

Subtract 3 from both sides

3x = 12- 3

3x = 9

Divide both sides by 3

x = 9/3

x = 3

x + 1 = 3 + 1 = 4

x + 2 = 3 + 2 = 5

The sides of the triangle are 3 , 4 ,5

The biggest side will be the hypotenuse.

So, hypotenuse = 5 ft. other legs are 3 and 4

[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]

another angle = 180 - [ 90 + 53.13]

                        = 180 - 143.13

                         = 36.87°

Answer:

  4 mph

Step-by-step explanation:

Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...

  825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time

  825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)

  58c² -928 = 0 . . . . . . . rearrange to standard form

  58(c -4)(c +4) = 0 . . . . factor

Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.

The speed of the current is 4 miles per hour.

Answer:

Step-by-step explanation:

Answer:

A Translation 2 units left and 1 unit down

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]\sf -\dfrac{1}{36}[/tex]

Explanation:

[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]

remove parenthesis

[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]

all the denominators has a common multiple of 108

[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]

join the fractions

[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]

simplify

[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]

Step-by-step explanation:

Let the larger no be = a

Difference of the numbers = a - 32

As per the question;

(a + 32) = 5(a - 32)

⇒ a + 32 = 5a - 160

⇒ 128 = 4a

⇒ a = 32

∴ The larger no is 32.

Answer:

I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.

Step-by-step explanation:

Write the equation of each circle.

1. center at (9, 0), radius 5

SOLUTION:  

ANSWER:  

2. center at (3, 1), diameter 14

SOLUTION:  

Since the radius is half the diameter, r = (14) or 7.

ANSWER:  

3. center at origin, passes through (2,2)

D or A not sure

The Twenty-fourth Amendment (Amendment XXIV) of the United States Constitution prohibits both Congress and the states from conditioning the right to vote in federal elections on payment of a poll tax or other types of tax.

Answer:

(D) they do not pay their taxes ​

Step-by-step explanation:

I got it correct on an exam I did.

AnswerAnswerAnswerAnswer:

the answer is  D h(x) = 1/4 x

Step-by-step explanation:

Have a great day!

A brainliest would help!

Answer:

  n = 6

Step-by-step explanation:

To find the exponent of 10, you can write the equivalent multiplier in standard form, then identify the place value of the 1 in the multiplier.

  0.000689 = 689 × 0.000001

The 1 is in the 6th place to the right of the decimal point. The place value of digits in that place is 10^-6

  0.000689 =689 × 10^n = 689 ×10^-6

  n = -6

_____

In the attached, your number would fill in the blanks to the right of the decimal point. The least-significant digit (9) would have a value of 9×10^-6.

The balance after one year if you deposit one $50 envelope each month, all year is  $613.95.

The balance after 1 year can be determined using this formula:

Amount deposited monthly x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082

Balance = 12.279082 x 50 = $613.95

To learn more about annuities, please check: https://brainly.com/question/24108530

Answer:

x=1.5 and x= -1.5

Step-by-step explanation:

thats where the graph crosses the x axis (which basically is y=0)

Answer:

Step-by-step explanation:

x² - 2 = y

x² - 2 = 0

x² = 2

x = √2

x = ±1.4

Answer: 40 minutes

Step-by-step explanation:

First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.

Answer: the answer is not in the multiple choice.

area = 60 in^2

Step-by-step explanation:

Digram:-

[tex] \\ [/tex]

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]

[tex] \\ [/tex]

STEP :-

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

{Linear pair}

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf q = 16 \degree[/tex]

[tex] \\ \\ [/tex]

Verification:

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

LHS = RHS

HENCE VERIFIED!

Answer:

Value of [tex]\sf\purple{q\: = \:16.}[/tex]

Step-by-step explanation:

[tex]\rightarrow[/tex]As we know that,

Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]

So,

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]

Thus, [tex]\sf\purple{q\: = \:16.}[/tex]

_________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

Let the blank is x, solve the equation for x:

Let that be x

Answer:

Step-by-step explanation:

when  3(2x^2+4x+7)−(x^2−8x+11) is solved you get

5x^2 + 20x + 10.

the x term is

−

2

+

√

2

,

0

)

,

(

−

2

−

√

2

,

0

)

[tex]3(2x^2+4x+7)-(x^2-8x+11)\\\\=6x^2 +12x + 21 -x^2+8x -11\\\\=5x^2+20x +10\\\\\text{The coefficient of the x term is 20}[/tex]

Here's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf

Answer:

g is 37

Step-by-step explanation:

supplementary means two angles that add up to 180°

180-143=37

the measure of angle c is 120

Answer:

C = M = 120

i hope this helps

Answer:

x=-3/7;x=-5/7

Step-by-step explanation:

Answer:

7.5% compounded continuously yields the greatest return after 9 years

Step-by-step explanation:

Compounded interest = P(1+r/n)^(nt), where P is the principle, r is the rate of interest, n is the number of times compounded annually, and t is the time of the investment.

7.6% compounded semiannually:

I = 11000(1+0.076/2)^(2*9) --> 11000(1.038)^18 ~ $21525.09

7.5% compounded continuously:

Since it is compounded continuously, we use the mathematical constant e.

I = 11000e = $29901.01

Answer:

Step-by-step explanation:

17) In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠A +  ∠D = 180

5x + 30 + x = 180  

5x +x + 30 = 180    {Combine like terms}

     6x + 30 = 180 {Now, subtract 30 from both sides}

6x + 30 - 30 = 180 - 30

             6x  = 150

Now divide both sides by 6

              x = 150/6

              x = 25

∠A = 5x + 30

     = 5*25 + 30

     = 125 + 30

     = 155

In parallelogram, opposite angles are congruent.

∠C = ∠A

∠C = 155°

18)In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠A +  ∠D = 180

3x + 4 + x = 180  

3x +x + 4 = 180    {Combine like terms}

     4x + 4 = 180 {Now, subtract 4 from both sides}

4x + 4 - 4 = 180 - 4

             4x  = 176

Now divide both sides by 4

              x = 176/4

x =44

19) In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠GAC +  ∠ACF = 180

125 + ∠ACF  = 180  

       Now, subtract 125 from both sides

∠ACF = 180 - 125

∠ACF = 55

21) In parallelogram, adjacent angles are supplementary (add up to 180)

∠CFG + ∠ACF = 180

2w +30 + w + 15 = 180

2w +w + 30+ 15 = 180

          3w + 45   = 180

                      3w  = 180 - 45

                      3w = 135

                        w = 135/3

w = 45

∠ACF = w + 15

           = 45 + 15

∠ACF =  60

21) In parallelogram, opposite sides are congruent.

GF = AC

4x - 14 = 2x + 2

       4x = 2x + 2 + 14

       4x = 2x +  16

4x - 2x  = 16

    2x    = 16

          x = 16/2

         x = 8

22) In parallelogram, the diagonals bisect each other.

XC = GX

3y - 3  =2y + 2

       3y = 2y + 2 + 3

       3y = 2y + 5

  3y - 2y= 5

         y = 5

23) The length of the  middle segment of trapezium is half the sum of the two parallel sides.

[tex]\dfrac{b_{1}+b_{2}}{2}=110\\\\\\b_{1}+b_{2}=110*2\\[/tex]

Answer: The answer should be the 2nd one

Step-by-step explanation:

Answer:

  821.20

Step-by-step explanation:

The tax is added to the listed price in order to find the total cost. The tax is computed by multiplying the listed price by the tax rate.

  tax = 749.95 × 0.095 = 71.25 . . . . . (rounded up from 74.24525)

  total cost = listed price + tax = 749.95 +71.25 = 821.20

The total cost of the bicycle with sales tax included is 821.20.

Answer:

$821.20 (nearest cent)

Step-by-step explanation:

If a sales tax of 9.5% is applied,
the final cost of the bicycle = 100% + 9.5% = 109.5% of its listed price

Convert 109.5% into a decimal:

109.5% = 109.5/100 = 1.095

So 109.5% of $749.95 = 1.095 × 749.95

                                     = $821.20 (nearest cent)

Answer:

x = 148⁰

Step-by-step explanation:

180⁰-32⁰= 148⁰

so 32⁰ angle is parallell to c angle so that means x equals to 148⁰

p and x are parallels

Answer:

20 inches²

Step-by-step explanation:

perimeter = 8 + 3 + 5 + 4

= 20 inches²