divide an angle of 150grade in two parts such that the ratio of the no. of degree in the first part to the number of grades in the second part in 27:20 find each part of the angle in circular measure​

Answer:

[tex]-\frac{45}{16}[/tex]

Step-by-step explanation:

[tex]g(x)=\frac{x^{2} -7x+1}{4}[/tex]

Take the derivate of g:

[tex]g'(x)=\frac{x-7}{4}[/tex]

Find x that:

g'(x)=0

[tex]\frac{2x-7}{4}=0\\x=\frac{7}{2}[/tex]

This x give the least possible value that are g(7/2):

[tex]g(\frac{7}{2}) =-\frac{45}{16}[/tex]

Answer: the first answer choice or (6,4)

Step-by-step explanation:

where they intersect

Answer:

The answer is 75

Step-by-step explanation:

Sorry if am wrong.

Answer:

550

Step-by-step explanation:

12% of 550 is 66

Answer:

[tex]y= 90+15x[/tex]

Step-by-step explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Step one:

Given data

A babysitter gets paid $60 for 4 hours of work

let us find the pay per hour

pay per hour will be= 60/4

pay per hour will be= $15

let the number of hours be x and the money earned be y

the expression is

[tex]y= 90+15x[/tex]

Answer:

Definition of 18T - 18T stands for Tatum Airport.

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

Answer:

the answer is 568/15 if you need help on to computer just look up advanced calculator and its called Desmos Scientific calculator

Step-by-step explanation:

Given:

Francis earns a weekly salary of $475 plus a 5.5% commission on sales at a girt shop.

To find:

How much would he earn in a week if he sold $700 in goods?

Solution:

We have,

Fixed weekly salary = $475

Commission percentage = 5.5% on sales.

Total sales of goods = $700

Total commission = 5.5% of 700

                             [tex]=\dfrac{5.5}{100}\times 700[/tex]

                             [tex]=5.5\times 7[/tex]

                             [tex]=38.5[/tex]

Now,

Total weekly salary = Fixed weekly salary + Commission

                                 [tex]=475+38.5[/tex]

                                 [tex]=513.5[/tex]

Therefore, the total weekly salary is $513.5.

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

the height of the rail train is 15.3 feet

Step-by-step explanation:

The computation of the height of the rail train is given below:

= Height of the model train ÷ 2 cm × real train

= 10.2 cm ÷ 2 cm × 3 feet

= 15.3 feet

Hence, the height of the rail train is 15.3 feet

We basically applied the above formula in order to get the height of the rail train

Answer:

35

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

Using the slope formula we can easily find the slope

m=(y2-y1)/(x2-x1)

m=(-1-4)/(10-4)

m=-5/6

Answer:

20 tickets

Step-by-step explanation:

tickets/total tickets * 100% = 10% chance to win the raffle

x/200*100=10

solve for x

x/200 =  10/100

x = 200(0.1)

x = 20

Answer:

-9

Step-by-step explanation:

i think it's  -10

that's confusing

Answer:

110

Step-by-step explanation:

55 times 2/1 = 110 (you flip the fraction and change the sign to multiplication)

Answer:

110

Step-by-step explanation

Answer:

x < 2.4

Step-by-step explanation:

subtract 3.8 from each side to get x by itself. that leaves you with x < 2.4

he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.

So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.

r=raisins, p=peanuts

(r x $3.25) + (p x $5.75) = $7.50

The weight of the ingredients in the mixture are  1.8 pound and 0.2 pound respectively.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the amount of raisins be x pound,

And, the amount of peanuts be y pound,

Now, the equation for the total amount is given as,

x + y = 2                                  (1)

And, for the cost as,

3.25x + 5.75y = 7.50             (2)

Multiply equation (1) by 3.25 and then subtract from (2) as follows,

3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50

=> -2.5y = -0.5

=> y = 0.2

Then, x + 0.2 = 2

=> x = 1.8

Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ5

Answer:

y= -4x+20

x intercept is 5

y intercept is 20

slope is -4

if she buys three comics she will have $8 left

Answer:

[tex]80[/tex]° and [tex]10[/tex]°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of [tex]90[/tex]°. Therefore, if we let the measure of the bigger angle be [tex]x[/tex], then the measure of the smaller angle will be [tex]x-70[/tex] because we are given that the difference of the measures of the two angles is [tex]70[/tex]°. We can write the following equation to solve for [tex]x[/tex]:

[tex]x+x-70=90[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x-70=90[/tex]

[tex]2x-70=90[/tex] (Simplify LHS)

[tex]2x-70+70=90+70[/tex] (Add [tex]70[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]2x=160[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{160}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=80[/tex] (Simplify)

Therefore, the measure of one angle is [tex]80[/tex]° and the measure of the other angle is [tex]x-70=80-70=10[/tex]°. Hope this helps!

We know, sum of complementary angles = 90°

Let, one of the angle = x°

∴ Another angle = (90 - x)°

As per condition,

(x°) - (90 - x)° = 70°

⇒ x° - 90° + x° = 70°

⇒ 2x° = 70° + 90° = 160°

⇒ x° = 80°.

So, angles are:-

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds

Answer:

75 ÷k number of squares based on the k value

Step-by-step explanation:

Let us suppose the ovals number be x

And, the square number be y

Now in the case when the ovals number is proportional to the square number

So, it would be defined as

x∝y

And,  

x = ky

Here k is the constant

Now  

If there are 75 ovals,

So, x = 75

Now put this in the above equation  

75 = kx

x = 75 ÷k

Answer:

????????????????hmmmmm.....

Answer:

13

Step-by-step explanation:

cos(x)=adjacent/ hypotenuse

cos(x)=80/82

x=cos-1(80/82)

x=12.7

cloest to 13

Answer:

Call the sister's height x. The boy is twice as tall, so that's 2x. The father is 30 cm taller than the boy, so his height is 2x + 30. The combined height is 3.8m, which is 380cm. Now you can write an equation

x + 2x + 2x + 30 = 380

collect like terms

5x = 350

x = 70

the sister is 70cm tall, the boy is 2*70 = 140 cm, and the father is 140 + 30 = 170cm

Check that the heights add up to 3.8m: 70 + 140 + 170 = 380 cm = 3.8m. Correct

Step-by-step explanation:

hope it helps

Answer:

so can it be your age

Step-by-step explanation:

12 mybe

Answer:percent increase in the number of games won= 18%

Step-by-step explanation:

Number of game won last year = 11

Number of games won this year = 13

Percent increase = Increase in number of games won/ Number of games won lasT year ) X 100

= (13-11)/ 11 X 100

2/11 X100

=18.18= 18%

Answer:

43

Step-by-step explanation:

Answer:

e2 = 112 + 92 − 2(11)(9)cos(140°)

Answer:

A

Step-by-step explanation:

2020 Edge

Answer:

18.58

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

just took the test

Answer:

4th one

Step-by-step explanation:

just do it. i know im right