Please help simplify the second question

Answer:

a = 22

Step-by-step explanation:

[tex]cot \: 4a = tan \: (a - 20)....(given) \\ \\ \implies \: tan(90 - 4a) = tan \: (a - 20) \\ [\because \: cot \theta = tan(90 \degree - \theta) ]\\ \\ \implies (90 - 4a) = tan(a - 20) \\ \\ \implies \: 90 + 20 = 4a + a \\ \\\implies \: 110 = 5a \\ \\ \implies \: a = \frac{110}{5} \\ \\ \huge \red{ \boxed{\implies \: a = 22}}[/tex]

Answer:

Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:sample

Answer: 19 cents

Step-by-step explanation:

Let's say that the cost of a lemon be L and the cost of an orange is O

We get the equation

4L + 3O = 5.45

7L + 4O = 9.30

The first equation can be made into the equation

28L + 21O = 38.15

And the second be made into

28L + 16O = 37.20

The second equation - The first question

5O = 0.95

O = 0.19

Answer:

Step-by-step explanation:

106/4 = 26[tex]\frac{2}{4\\}[/tex] = 26[tex]\frac{1}{2}[/tex]

Hope this helps!

Answer:

3x^2+11x+6

Step-by-step explanation:

          3x       +2

x       3x^2      2x  

+3       9x         6

3x^2+9x+2x+6
=

3x^2+11x+6

Answer:

60 Km / hour

Step-by-step explanation:

average speed (S) is calculated as

S = [tex]\frac{D}{T}[/tex] ( D is distance and T time in hours )

here D = 180 and T = 3 , then

S = [tex]\frac{180}{3}[/tex] = 60 Km / hour

Answer:

37/32

Step-by-step explanation:

5/8 + 3/16 + 11/32 = 37/32

Answer:

1.15625 or 1 and 5/32

Step-by-step explanation:

Result

5/8 + 3/16

= 13/16

Result in decimals: 0.8125

Calculation steps:

5/8 + 3/16 =  

5 × 2

8 × 2

+

3

16

=  

10

16

+

3

16

=  

10 + 3/16 =  13/ 16

The next  step would be:

home / math / fraction calculator

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.

Result

13

16

+

11

32

=

37

32

=

1 5

32

Result in decimals: 1.15625

Calculation steps:

13

16

+

11

32

=  

13 × 2

16 × 2

+

11

32

=  

26

32

+

11

32

=  

26 + 11

32

=  

37

32

=  

1 5

32

Hope this helps! Have a nice day!

Please give brainliest when possible!

:3

Answer:

Slope = 3

y- intercept = (0, 10)

Step-by-step explanation:

the equation is given by y=mx+c where m is the slope

- At y-intercept, x is equal to 0

Therefore, y = 3(0) + 10

y = 0 + 10

y = 10

Jen's average speed on the round trip will be 20mph

The formula for calculating speed is expressed as:

Speed = Distance/Time

d = st

Let the time taken on Jen's way to Cape Cod  be "t"

The time taken back to Boston will be t + 3

d1 = 60t
d2 = 60(t+3)

Since he traveled the same distance to and fro, hence;

Average speed = 60/3

Average speed  = 20mph

Hence Jen's average speed on the round trip will be 20mph

Learn more on speed here: https://brainly.com/question/4931057

Answer:

30 mph

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

From the number line we see that [tex]m[/tex] is negative and [tex]n[/tex] is positive

The expression in the parentheses, [tex](-m . n^2)[/tex] is positive since

[tex]-m[/tex] is the negative of a negative number and the sign of that is positive

[tex]n^2[/tex] is positive since a positive (or negative) number squared is always positive

[tex]\frac{m}{n}[/tex] is a negative number. If you divide a negative number, the sign of the result is negative

So evaluating the whole expression [tex]\frac{m}{n} .( m . n^2)[/tex]

gives us a negative number multiplied by a positive number and the result is a negative number

Answer:

1 + 4 = 5

Step-by-step explanation:

You did duplicates of all numbers, other than that one! :)

Hope this helps!!

There needs to be   6     gallons of 35 % alcohol solution

and    3     gallons of 50 % solution.

======================================================

Explanation:

x = number of gallons of the 35% solution

y = number of gallons of the 50% solution

The two amounts must add to 9 gallons, so x+y = 9

This solves to y = 9-x

Since we want 9 gallons of 40% alcohol solution, this means we want 0.40*9 = 3.6 gallons of pure alcohol.

----------------

0.35x = amount of pure alcohol from the first batch

0.50y = amount of pure alcohol from the second batch

0.35x+0.50y = total amount of pure alcohol

Set that expression equal to the 3.6 figure calculated earlier (the total amount of pure alcohol we're after) and we get this equation

0.35x+0.50y = 3.6

----------------

Next, we replace y with 9-x and then solve for x.

0.35x+0.50y = 3.6

0.35x+0.50(9-x) = 3.6

0.35x+4.5-0.50x = 3.6

-0.15x+4.5 = 3.6

-0.15x = 3.6-4.5

-0.15x = -0.9

x = -0.9/(-0.15)

x = 6

We'll need 6 gallons of the 35% solution

Use this x value to find y

y = 9-x

y = 9-6

y = 3

We'll also need 3 gallons of the 50% solution

Answer:

2

Step-by-step explanation:

18/9=2

its 9 times fewer than 18

Answer:

less than 1 bag

Step-by-step explanation:

[tex] \sf{12 \: sq \: yds \: require = 7.5 \: bags}[/tex]

[tex] \implies\sf{1 \: sq \: yd \: will \: require = \frac{7.5}{12} \: bags} \\ = \sf{ \underline{0.625}}[/tex]

which is less than 1.

Implies that, each square yard requires about less than 1 bag of mulch.

Answer:

[tex] \boxed{\tt \: m = \boxed{\tt Undefined}}[/tex]

Step-by-step explanation:

Given Two Points are:

[tex] \sf \: \tt (6,-5) \: \sf and \: \tt (6,-4)[/tex]

We need to Find:

[tex] \longrightarrow \sf \: The \: Slope[/tex]

We know that,

[tex] \sf \: Slope = \tt \: Rise/Run \: , \: \sf \: i.e. \: \: \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex] \sf \: Slope= \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Where,

[tex] \tt \: y_2= -4[/tex]

[tex]\tt y_1= - 5[/tex]

[tex]\tt x_2=6[/tex]

[tex] \tt \: x_1=6[/tex]

So Substitute their values accordingly:

[Important Note: Slope is denoted as m generally.]

[tex] \tt\implies \: m = \cfrac{ - 4 -( - 5)}{6 - 6} [/tex]

Now Simplify it.[Follow BODMAS Rule strictly while simplifying]

[tex] \tt \implies m = \cfrac{ - 4 + 5}{0} [/tex]

[tex]\tt \implies m = \cfrac{ 1}{0} [/tex]

Here, We can find that 1 is divided by 0.

We know that any expressions divided by 0 is undefined .

Hence, the slope[m] would be undefined.

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Let me know if you have any questions! :)

Step-by-step explanation:

hope this helps you!

-s.

Answer:

D=35

Step-by-step explanation:

First, find a common multiple of both 15 and 6, we get 30, 14/6*5=70/6 meaning that 14/6=35/15

Answer:

730%

Step-by-step explanation:

600 - 72 = 528

528/72 = 7.3

7.3 * 100 = 730%

Answer:

y=3

Step-by-step explanation:

We can solve this using substitution (substitute 4 for x)...

4+y=7

Subtract 4 from both sides

y=3

Answer:

y = 3

Step-by-step explanation:

x + y = 7

x = 4

4 + y = 7

y = 7 - 4

y = 3

Answer:

W/m²K                  by-step explanation:

Now, Plug in the values in the formula

[tex] \boxed{ \sf \multimap \: x = ( \frac{a}{a + b})( x_{2} - x_{1}) + x_{1} }[/tex]

[tex] \tt\nRightarrow \: x = ( \frac{2}{2 + 3} )( - 3 - 2) + 2[/tex]

[tex] \bf \Rrightarrow \: x = (\frac{2}{5} )( - 3 - 2) + 2[/tex]

Answer:

-660

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Solve:

Answer:

x=72, y=108

Step-by-step explanation:

y-36=x

[tex]\left \{ {{y-x=36} \atop {y+x=180}} \right.[/tex]

⇒ 2y=216

108-36=x

Adding both

Put in eq(1)

Solution:

Note that:

Using the equation (4x - 27 = 3x + 4), solve for x.

The measure of x is 31.

Solve for X ~

[tex] \bf4x - 27 = 3x + 4[/tex]

[tex] \bf \: 4x - 3x = 4 + 27[/tex]

[tex] \boxed{ \bf \: x = 31}[/tex]

[tex] \tt \: ∠1 = 2x + 21 \\ \tt \: = 2 \times 31 + 21 \\ \tt \: ∠1= 83 \degree[/tex]

[tex] \tt \: ∠2 = 4x + 27\\ \tt \: = 4\times 31 - 27 \\ \tt \: ∠2= 97 \degree[/tex]

[tex] \tt \: ∠3 = 3x + 4 \\ \tt \: = 3\times 31 + 4 \\ \tt \: ∠3= 97 \degree[/tex]

Answer:

Melody

Step-by-step explanation:

3/6 = 0.5

3/5 = 0.6

i.e. If it has the same numerator but different denominator the one with the smaller denominator will be bigger  

Answer: Melody ate more.

Step-by-step explanation:

So, it would be Melody who ate more because

Over here:

Heather: ate 3 OUT of 6

Melody: ate 3 OUT of 5

Melody ate more because if you count up to 5 theres two cookies left, while Heather had 3 cookies left.

Hope this answers your question!

Answer:

  a) 1.2 seconds

  b) 50 bpm

Step-by-step explanation:

The period is the value of t that makes the angle be 2π:

  5πt/3 = 2π

  t = 3(2π)/(5π) = 6/5

The period of the function is 6/5 = 1.2 seconds.

__

The number of beats per minute is ...

  (1 beat)/(1.2 s) × (60 s)/(1 min) = 60/1.2 beats/min = 50 beats/min

Answer:

Let W be the width of the rectangle. The length will then be 6W (six times the width). The area is length times width. if this equals 216, then you have an equation

(6W)(W) = 216

6W2 = 216

W2 = 36

W = 6.

The width is 6 ft and the length must then be 6W = 36 ft.

To find the perimeter, use the formula

P = 2L + 2W.

Plug in:

P = 2(36) + 2(6) = 72 + 12 = 84 ft.

The perimeter is 84 ft. (Remember that area has units length units squared and perimeter has units same as length.)

Step-by-step explanation: