A classic car is completely repainted, taking 120 hours total to finish the job. Using an
8-hour workday, how many days did it take to do the job?

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

learn more on ratio here: https://brainly.com/question/20331008

Answer: 70 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a triangle:

base = 4 units

height = 3 units

[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]

Answer:

Step-by-step explanation:

Answer: Translation, reflection, rotation

Step-by-step explanation:

Answer:

T9 = 5/256

Step-by-step explanation:

You can tell it by looking at the pattern of the progression whether each term +- or ×÷.

From the question,

First term, a = 5

Common ratio, r = (5/2)/5 = ½

n = 9

Using the formula for nth term of a geometric progression,

[tex] t_{n} = a {r}^{n - 1} [/tex]

T9 = 5(½)^(9-1)

= 5/256

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

     (look at the diagram attached for a better understanding)

Information Given:

Information Wanted:

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67

Therefore, your answer is: y = 67

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

x=5 or -7

step by step:

x2+2x−35=0

Step 1: Factor the left side of the equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Answer:

Your X value would equal to:
5 or -7




(images attached below show a step by step explanation)

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The angle shown is less than 90 degrees so it is an acute angle.

answer: acute

Answer:

A

Step-by-step explanation:

Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216

Answer:

A

Step-by-step explanation:

4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3

Answer:

[tex](x + 2) ^{2} = - 8[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]

Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

Answer:

79.8

Step-by-step explanation:

Answer:

this makes no sense

Step-by-step explanation:

The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.

First assume that the number we are looking for is x.

One side of the equation will be:

= 3 × x

= 3x

The other side of the equation would be:

= 5 + x

Equating these numbers gives:

3x = 5+ x

3x - x = 5

2x = 5

x = 5/ 2

x = 2.5

In conclusion, the number is 2.5.

Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.

Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

Answer: 2m+5

Step-by-step explanation:

4−2m+4m+1

Combine −2m and 4m to get 2m.

4+2m+1

Add 4 and 1 to get 5.

5+2m

Answer: 2m + 5

Step-by-step explanation:

Just do:

So, 2m + 5

Answer:

Both are 1/2

Step-by-step explanation:

Count just the tails, that's the numerator

Count all the heads and tails, that's the denominator.

And for the 2nd fraction:

Count just the evens, that's the numerator

Count all the even and odd numbers, that's the denominator.

Answer: The answer to this question is 3/4

Step-by-step explanation:

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by: p=9/12=3/4

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week

Answer:

i don't know how much will l loose

Answer: x = 16, y = 9

D. x + y = 25

x - y = 7

Step-by-step explanation:

        Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.

    The sum of two numbers is 25

x + y = 25

    Their difference is 7

x - y = 7

          D. x + y = 25

          x - y = 7

Answer:

180 angles usually up and down from each other

Step-by-step explanation:

85.2

94.8

Answer:

Step-by-step explanation:

First a translation then a reflection.