simplify. consider all cases.
12-x

Answer:

62.2° (or 1.1 rad)

Step-by-step explanation:

Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.

Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.

∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°

Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.

α ≈ 90° - 27.82° = 62.18°

or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad

See above for properly rounded values.

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

5m<6m+6

Step 1: Subtract 6m from both sides.

5m−6m<6m+6−6m

−m<6

Step 2: Divide both sides by -1.

−m / −1 < 6 / −1

m>−6

Answer:

m>−6

Answer:

Step-by-step explanation:

B)  it is increasing,  the slope  of  2/3  tells you it's going up  

Using concepts of linear functions, it is found that the correct option is given by:

B) It is increasing.

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The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, being the value that describes its behavior.

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In this question, the equation of the line is:

[tex]f(x) = \frac{2}{3}x - 2[/tex]

The slope is [tex]m = \frac{2}{3}[/tex], which is positive, thus the function is increasing, and the correct option is B.

A similar problem is given at https://brainly.com/question/10026522

1) Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal.  and another pair of corresponding sides are equal in two right triangles.

2) check the picture (screen shot 2021...)

3) check picture (1200px-Compl..)

4)check picture (bwgCX8jKTG...)

5) Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

6) idonno what you discussed in class. if you tell me, i Draw it.

7) The Pythagorean Theorem describes the relationships between the sides of a right triangle. The square of the hypotenuse, the side opposite the right angle, is equal to the sum of the squares of the two sides. The formula is a2 + b2 = c2.

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

Answer:

x = 13

∠WZX = 57°

Step-by-step explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°

Answer:

8.06 units  = AD

(just write sq rt 65 = 8.062 ) then write or try sq rt of 65  to 3 sf = nearest tenth 8.06 tenth units rounded.

Step-by-step explanation:

AE = 7

ED = 4

We use Pythagoras Theorem as it is a right angle as AE^2 + ED^2 = AD^2

7^2 + 4^2 = AD^2

49 + 16 = 65 sq rt

sq rt  65 = AD^2 = 8.062^2

AD = 8.062 units

Answer:

5

Step-by-step explanation:

Given the profit equation ;P(x)

x = number of units sold

P(x) = profit made

P(x) = 101

101 = 0.2x^2+20x-4

0.2x^2+20x-4 - 101

0.2x² + 20x - 105 = 0

Using the formula:

-b±[sqrt(b² - 4ac) / 2a]

Where ;

a = 0.2 ; b = 20, c = - 105

Using the quadratic equation solver to save time :

The roots are :

-105 and 5

Items sold cannot be negative ;

Hence, x = units sold = 5

Answer:

No, the two sum of the two shorter sides of a triangle must be greater that the longer side.

Answer: yes it does and It will look something like this

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer

Total oranges in the basket = 20

Number of oranges = 12

what percentage of the pieces of fruit in the basket are orange

= Number of oranges / Total pieces of fruits × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percentage of the pieces of fruit in the basket that are oranges = 60%

Answer: Geometric sequence

Step-by-step explanation:

The common ratio will be:

= 2nd term / 1st term

= 2/4

= 1/2

Also, Using thw 3rd and 2nd term gives:

= 1/2

Common difference will be:

= 2nd term - 1st term

= 2 - 4

= -2

Using thw 3rd and 2nd term gives:

= 1 - 2

= -1

From the above, we can see that it's a geometric progression as the common ratio is thesame.

Answer:

x=10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: 7x-11=x-49

7x - 11 = x - 49 so add 11 to both sides 7x = x -60

Then 7x - x = 6 so 60/6= 10

Answer:

He won 4 games

Step-by-step explanation:

Percentage of games he lost= 75%

Let the total number of games be [tex]x[/tex]

75% of [tex]x[/tex] = 12

[tex]\frac{75x}{100}[/tex] = 12

75[tex]x[/tex]= 12 x 100

[tex]x[/tex]= [tex]\frac{1200}{75}[/tex]

 =16

Number of games he won = 16-12

                                            = 4

Answer:

4

Step-by-step explanation:

If Kent won 25% of the games, he lost 75% of them. Thus if g is the total number of games he played,

12 = 0.75(g) ---> g=16

So the number of games he won was 16 - 12 = 4.

The amount of money in the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.

First, let's find the number of pennies in the bank.

Since 10% of the coins are pennies, and there is 50 coins total, the number of pennies is :

10/100 × 50 = 5

Now let's find the number of dimes. Since 42% of the coins are dimes, and there is 50 coins total, the number of dimes is :

42/100 × 50 = 21

Since there are 4 more nickels than pennies, the number of nickels is :

5 + 4 = 9

Finally, the number of quarters is: 50 - 5 - 9 - 21 = 15

Thus, the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ2

write the equation.

3/4n=9

now solve.

3/4n=9

/3/4  /3/4

n=12

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hope it helps

Answer:

x = 12

Step-by-step explanation:

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

__

Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

__

2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Answer:

First, third and the last.

Step-by-step explanation:

y = 2^r + 1

The variable r is an exponent

Answer:

D)9x-3

Step-by-step explanation:

Perimeter = 2x + 4x - 2 + 3x - 1 ( add all the sides )

Bring the like terms together and simplify.

= 2x + 4x + 3x - 2 - 1

= 9x -3

Answer:

1/6

Step-by-step explanation:

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

[tex]m = \frac{change \: in \: y}{change in \: x\: } [/tex]

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{ - 4 - ( - 4)}{9 - (4)} [/tex]

Simplify.

[tex]m = 0[/tex]

Therefor, The slope is 0.

Answer:

Slope: 0

Step-by-step explanation:

The formula to finding slope is [tex]\frac{y1-y2}{x1-x2}[/tex]

We have the points (4,-4) and (9,-4)

So plug in:

[tex]\frac{-4-(-4)}{4-9}[/tex]

Simplify:

[tex]\frac{0}{-5}[/tex]

Slope: 0

Answer:

large triangle:

base = 6.64 cm

hypotenuse = 8.31 cm

small triangle:

base = 4 cm

Step-by-step explanation:

large triangle:

tan 37 = 5/base

0.7536 = 5/base

base = 6.64 cm

using the Pythagorean theorem:

hypotenuse² = 5² + 6.64²

hypotenuse² = 25 = 44.02 = 69.02

hypotenuse = 8.31 cm

small triangle:

using the Pythagorean theorem:

base² = 5² - 3²

base² = 25 - 9 = 16

base = 4 cm

Answer:

z^6

Step-by-step explanation:

I'm assuming you're meant to multiply here.

z^3(z^3) = z^6

Add exponents when multiplying.

Answer:

Rational numbers can be expressed as a fraction

Squared 5 = 25

25 can be expressed as  a  fraction- 25/1, so d is correct.

Let me know if this helps!

5 squared is right im sorry i miss read it

Answer:

35.6

Step-by-step explanation:

Answer:

you just copy and pasted from your canvas assignment or something. its a bunch of random code.Step-by-step explanation:

Answer:

111°

Step-by-step explanation:

angles around a point = 360

360-138=222

angles at the centre is double the circumference

222÷2

= 111

Answer:

69

Step-by-step explanation:

If 46-26 =26 then 46+26=69.