What is the value of sin 53° to the nearest ten-thousandth?
0.9325
O 1.4663
O 0.5314
O 0.7986

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

Answer:

yes you should be surprised

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Answer:

$30

$90

Step-by-step explanation:

Given parameters:

    Selling price of belt = $120

     Percentage discount = 25%

Unknown:

Discount = ?

Sale price of the dress  = ?

Solution:

Discount is a reduction in the price of a commodity.

     Discount  = percentage discount x selling price of belt

 Input the parameters and solve;

I.    Discount  = [tex]\frac{25}{100}[/tex] x 120 = $30

II. Sale price of the dress;

               = selling price - discount amount

                 = $120 - $30

                  = $90

Answer:

y

=

m

x

+

b

to find the equation.

y

=

−

2

x

+

8

Step-by-step explanation:

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            [tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]

       ysin 90 = 17 sin 47

         y = 12.43ft

Answer:

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

_______________________________________

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x --------------------equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

Answer:

1) 0.08

2) -20

3) -4/15 or -0.26 repeating

4) -9/16 or -0.5625

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

Answer:

-54

Step-by-step explanation:

[tex]8(-9) - 6(-3)\\[/tex]

Multiply 8 by -9 and 6 by -3

[tex]-72 - (-18)[/tex]

Subtract[tex]Value = -54[/tex]

Hope this helps

plz mark brainliest

Answer:

2.32

Step by Step Explanation:

5 and above, Give it a shove

1 rounds to 2 because of the 7

2.317 = 2.32

Answer:

Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!

Hope this helps!

Answer:

it is cubix 12

Step-by-step explanation:

yw hope it helps!

Answer:

7060                                                                                                         Step-by-step explanatiojo:

Answer:

4.5 gallons

Step-by-step explanation:

18/4

After conversion 18 gallons will be equal to 4.5 quarts .

Given,

1 gallon is equal to 4 quarts

Convert  18 quarts to gallons

Few unit conversions :

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

Now 1 gallon is equal to 4 quarts ,

Here,

1 gallon = 4 quarts

Hence ,

18 quarts = 4.5 quarts .

Know more about unit conversion,

brainly.com/question/14614674

#SPJ6

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

The dollar amount of shoes she sold is $1800

It is the amount earned on a product bought or sold.

If  she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:

11.5% of x = 207

0.115x = 207

Divide both sides by 0.115

x = 207/0.115

x = $1800

Hence the dollar amount of shoes she sold is $1800

Learn more on discount here: https://brainly.com/question/24304697

Answer:

$1.00

Step-by-step explanation:

20/10=2

Answer:

$2 per candy

Step-by-step explanation:

20 \ 10 = 2

Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8

Answer:

x1=-1/97/12xx2=1 1=/97/12

Step-by-step explanation:

       2

X=6x^2+4=0

-6x2^-x+4=0

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Answer:

i do i am right noww lol

Step-by-step explanation:

Answer:

808

Step-by-step explanation:

Answer:

(4x - 10) + x = 90 degrees

x = 20

Answer:

30

26

Step-by-step explanation:

Answer:

[tex]x = - 1.[/tex]

Step-by-step explanation:

[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]

♨Rage♨

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{x} = \frac{1}{2} [/tex]

We know that (1/2) can be written as 2^-1. So, it will be;

[tex] {2}^{x} = {2}^{ - 1} [/tex]

Looking on both sides we find that both have same base. So,

x = -1

(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)

Hope it helps...

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles