Help trigonometry ( angles of evaluation and depression)

Answer:

Step-by-step explanation:

you move the -10 to the other side of the equation

3x=84+10

3x=94

x=31 1/3

Answer:

Your goal is to get x by itself

3x-10=84

First you want to add 10 to each side

3x=94 (-10+10=0, 84+10=94)

Last step is divide each side by 3

x= 31 and 1/3 or 94/3

Hope this helps ;)

Answer:

A15+B10=cents

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

5*30=150

Start by multiplying 5*3, which is 15 then add the 0 back on. =150

Answer:

5 * 30 = 150

Step-by-step explanation:

5 * 30 = 5 * 3 * 10 = 15 * 10 = 150

Answer:

Option fraction 1 and 2 over 3 units is correct

Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]units

Step-by-step explanation:

Given rectangle of length is fraction 1 over 3 units and width is fraction 1 over 2 units

It can be written as [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units

To find the perimeter of a rectangle :

Perimeter of a rectangle=2(l+w)

Substitute the values of [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units in the above formula we get

[tex]Perimeter of a rectangle=2(\frac{1}{3}+\frac{1}{2})[/tex]

[tex]=2(\frac{1(2)+1(3)}{6})[/tex]

[tex]=2(\frac{2+3}{6})[/tex]

[tex]=\frac{5}{3}[/tex]

[tex]=1\frac{2}{3}[/tex]

Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]

Therefore option fraction 1 and 2 over 3 units is correct

Answer:

Option fraction 1 and 2 over 3 units

Step-by-step explanation:

Answer:

[tex]4\ sea\ urchins[/tex]

Step-by-step explanation:

The correct question is

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.

Let

x ----> the number of seahorses

y ----> the number of sea urchins

we know that

The number of seahorses is 4 times the number of sea urchins

so

[tex]x=4y[/tex] -----> equation A

There are 16 seahorses

so

[tex]x=16[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]16=4y[/tex]

solve for y

divide by 4 both sides

[tex]y=16/4\\y=4\ sea\ urchins[/tex]

Answer:

4.

Step-by-step explanation:

if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.

Answer:

1 whole

Step-by-step explanation:

Answer:1

Step-by-step explanation:You have 6 sixths. That means it is a whole number

Answer:

c ≈ -29°

Step-by-step explanation:

To convert Fahrenheit to Celsius using the formula, substitute the degrees for Fahrenheit "f", then isolate Celsius "c".

f = [tex]\frac{9}{5}c[/tex] + 32

-20 = [tex]\frac{9}{5}c[/tex] + 32     Substitute "f" for -20

-20 - 32 = [tex]\frac{9}{5}c[/tex] + 32 - 32     Subtract 32 from both sides

-20 - 32 = [tex]\frac{9}{5}c[/tex]     +32-32 cancels out to 0. Simplify left side

-52 = [tex]\frac{9}{5}c[/tex]

-52/[tex]\frac{9}{5}[/tex] = [tex]\frac{9}{5}c/\frac{9}{5}[/tex]     Divide by 9/5 on both sides

-52/[tex]\frac{9}{5}[/tex] = c

-52[tex]*\frac{5}{9}[/tex] = c     When dividing a fraction, flip the fraction and change to multiplication

[tex]\frac{-52*5}{9}[/tex] = c     Multiply by combining into the numerator

[tex]\frac{-260}{9}[/tex] = c     Use a calculator

c = -28.8888888889°

c ≈ -29°      Round to the nearest degrees

Therefore -20°F is about -29°C.

38 double-occupancy apartments are currently rented

Solution:

Given that, apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant

Number of apartments with one occupant = 16

Number of apartments with two occupants = x

The apartment building has 92 total occupants

Therefore, we frame a equation as,

Number of apartments with one occupant + 2 x Number of apartments with two occupants = 92

[tex]16 + 2 \times x = 92[/tex]

16 + 2x = 92

Solve the above equation for "x"

2x = 92 - 16

2x = 76

x = 38

Thus 38 double-occupancy apartments are currently rented

Final answer:

To determine the number of double-occupancy apartments that are currently rented, we solve the equation: 2x + 16 = 92. After simplifying, we find that there are 38 double-occupancy apartments rented.

Explanation:

To determine the number of double-occupancy apartments that are currently rented, we need to solve the equation: 2x + 16 = 92.

First, we subtract 16 from both sides of the equation: 2x = 76.

Next, we divide both sides of the equation by 2 to isolate x: x = 38.

Therefore, there are 38 double-occupancy apartments currently rented.

Answer:

(4 × 3) + (1 × 1)

Step-by-step explanation:

Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.

Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.

You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.

Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).

Answer:

5x+7

Step-by-step explanation:

Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]

⇒ S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]

⇒ S  = -2/5

The statement is not reversible.

A reversible statement is one where the implication goes both ways. In simpler terms, if the statement is true, its converse (reversing the hypothesis and conclusion) must also be true, and vice versa.

The statement is: "If (x=3) then (x²=9)". The converse, "If (x² = 9) then (x = 3)" is not always true. For example, if  x = -3, then  x² is also 9.

A biconditional statement is true if and only if both the statement and its converse are true. Because the converse of the original statement is not always true, the biconditional statement " (x = 3) if and only if (x² = 9)" is also not true.

Answer:

Step-by-step explanation:

1200÷2=600

Answer: D. 100

Step-by-step explanation:

Answer:

3.14 x 4.46^2= 62.39 square centimeters

Step-by-step explanation:

Answer:

infinite

Step-by-step explanation:

Answer:

6 numbers

Step-by-step explanation:

Note that [tex]4<8<9,[/tex] then

[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]

and [tex]64<72<82,[/tex] then

[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]

List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]

[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]

Hence, there are 6 such numbers

Answer:

A) is the correct answer (6,1)

Step-by-step explanation:

Answer:20000

Step-by-step explanation:

He must have worked for 50 weeks in that year.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here:  hourly rate=10/hr and annual rate is $20000 and he worked 40 hours per week

Thus in a week he earns 40×10=$400

let the person work for x weeks then we have the equation

400×x=20000

        x=50 weeks

Hence, He must have worked for 50 weeks in that year.

Learn more about the unitary method here:

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hi, i cant see the question :(

The area of a circle can be found using this formula: A = πr²

A = area

π = 3.14

r = radius (half of diameter)

A = (3.14)(12.5)^2

A = (3.14)(156.25)

A = 490.63

Answer:

they are similar as the enlargement has a scale factor divide it then woke it out

The given equation is non-linear.

Solution:

Given expression is [tex]\frac{3}{x} +\frac{4}{y} =2[/tex].

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ [tex]\frac{3}{x} +\frac{4}{y} =2[/tex]

Do cross multiply for the fractions to make the denominators same.

⇒ [tex]\frac{3y}{yx} +\frac{4x}{yx} =2[/tex]

⇒ [tex]\frac{3y+4x}{yx} =2[/tex]

Do cross multiplication.

⇒ [tex]3y+4x=2yx[/tex]

⇒ [tex]4x+3y-2yx=0[/tex]

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.

The distance around the wheel is 628 feet and distance traveled in one rotation is equal to 628 feet

Solution:

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel.

It measures 200 feet in diameter

Diameter = 200 feet

We know that diameter is twice of radius

[tex]diameter = 2 \times radius\\\\200 = 2 \times radius\\\\radius = \frac{200}{2}\\\\radius = 100[/tex]

Thus radius of wheel is 100 feet

The distance around the ferris wheel is the circumference of wheel

Since, wheel is of circular shape, we can use circumference of circle formula

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

Substitute r = 100 we get,

[tex]C = 2 \times 3.14 \times 100 = 628[/tex]

Thus distance around the wheel is 628 feet

Distance traveled in one rotation = circumference of wheel

The distance traveled in one rotation is equal to 628 feet

Answer:

61 bikes are regular the other 37 are moutain bikes.

Step-by-step explanation:

can i have brainliest

Answer:

61 bikes are not mountain bikes.

Step-by-step explanation:

To figure this out you have to simply subtract the amount of mountain bikes from the total amount of bikes.

98 - 37 = 61

Now you know that 61 of the bikes are not mountain bikes.

I hope this helped! :)

~CaityConcerto

Answer: Yes

Step-by-step explanation: Here, we want to decide if 3 is a solution for the equation 2n - 6 = 5n - 15. We can do this by simply plugging in 3 for n. If the statement holds true when 3 is plugged in for n, then 3 is a solution.

Plugging in 3 for n, we have 2(3) - 6 = 5(3) - 15.

2(3) is equal to 6 and if we subtract 6 we get 0.

On the right side, 5(3)  is equal to 15 and if we subtract 15 we get 0.

0 = 0 is a true statement so yes,

3 is a solution for the equation 2n - 6 = 5n - 15

Answer:

(1, 5 )

Step-by-step explanation:

To obtain a solution, substitute any value for x into the equation and solve for y, that is

x = 1 → y = 7(1) - 2 = 7 - 2 = 5 → (1, 5 )

x = - 1 → y = 7(- 1) - 2 = - 7 - 2 = - 9 → (- 1, - 9 ) is also a solution

Answer:

-1/64

Step-by-step explanation:

Just do 4 to the 3rd and make that the denominator

4^3 = 64

-1 / 64