Type the correct answer in the box.
If cos x = sin(20 + x3° and 0°

Answer:

d

Step-by-step explanation:

reciprocal theorem or whatever states that instead of dividing just flip and change sign to multiply

Answer:

Last option is the correct choice.

Step-by-step explanation:

d. (5,2).

The required solution to the system of inequalities [tex]2x+3y > 12, x -y\geq 1[/tex] is (5, 2). Option D is correct.

Given,
Systems of inequalities are given solution to inequalities to be determined.
[tex]\left \{ {{2x+3y > 12} \atop {x -y\geq 1}} \right.[/tex]

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

[tex]\left \{ {{2x+3y > 12} \atop {x -y\geq 1}} \right.[/tex]
Here,
2x +3y = 12    - - - - - (1)
   x - y = 1      - - - - - -(2)
From equation 2
x = y + 1
Put x into equation 1
2( y + 1 ) + 3y = 12
2y + 2 + 3y = 12
5y = 12 -2
y =10/5
y = 2
Now put y = 2 in equation (1)
2x + 3(2) = 12
2x + 6 = 12
x = 3
It is to be verified that value of x should be greater or equal to 3 and y should be greater or equal to 2 in order to have the solution to a system of inequalities. i.e. x ≥3  and y ≥ 2. from observation of the option it is seen that option D (5, 2) has the required solution.          


Thus, the required solution to the system of inequalities [tex]2x+3y > 12, x -y\geq 1[/tex] is (5, 2). Option D is correct.

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Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Hey there! :)

Answer:

First choice. 36/100 or 36%.

Step-by-step explanation:

Total # of squares:

10 × 10 = 100 squares.

# of squares shaded:

6 × 6 = 36 squares.

shaded/total to find the percent shaded:

Fraction: 36/100

Percentage: 36/100 × 100 = 36%.

Answer:

third quadrant.

Step-by-step explanation:

The points of Quadrant I have both positive x and y values.

The points of Quadrant II have negative x and positive y values.

The points of Quadrant III have negative x and y values.

The points of Quadrant IV have positive x and negative y values.

Since -2 and -5 are negative the answer is Quadrant III.

Answer:

A) 19,600

Step-by-step explanation:

A) How many ways can we choose three states to be represented?

To solve for the above question, we would be using the Combination formula

The combination formula is given as:

C(n , r) = nCr = n!/r! (n - r)!

Where n = 50

We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,

r = 3 ( senator committee)

nCr = n!/r! (n - r)!

50C3 = 50! / 3! (50 - 3)!

50C3 = 50! / 3! × 47!

50C3 = 19,600

Therefore, the number of ways can we choose three states to be represented is 19,600 ways.

Answer:

1/8

Step-by-step explanation:

Let's pick some simple points with which to set up an example for ourselves for this. Let's let the smaller radius be 1, and the larger, twice that, be 2. The radius itself is a single unit measure; in other words, it's measured as inches, feet, cm, etc., while the volume is a cubed measure. Volume is measured in inches cubed, feet cubed, cm cubed, etc. Therefore, if we have the radii measuring 1:2, we simply cube those single unit measures to find the ratio of their volumes. 1 cubed is 1, and 2 cubed is 8. So your answer for this is 1/8.

Answer:

Step-by-step explanation:

the answer is b

The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given expression are 3x² + 5x + 1 and x² - 2x + 4

Now,

           3x² + 5x + 1

         × x² - 2x + 4

         __________

           12x²+20x+4

    -6x³-10x²-2x

3x⁴+5x³+x²

_______________

3x⁴-x³+3x²+18x+4

Therefore, option B is the correct answer.

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Step-by-step explanation:

I hope it's correct

HAVE A GOOD DAY!

The value of a in the triangle is 10

The sine of an angle is:

sin(angle)= opposite/hypotenuse

Using the question parameters, we have:

sin(30) = 5/a

Substitute sin(30) = 1/2

1/2 = 5/a

Cross multiply

a = 2 * 5

Evaluate

a = 10

Hence, the value of a in the triangle is 10

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Answer:

pm/ 100 is answer.

Step-by-step explanation:

here, p% of m

=p/100× m

= pm/ 100 ...is answer.

hope its what you are searching for..

Answer:

1

Step-by-step explanation:

Halves:

0

0.5

1

1.5

2

1 1/16 = 1.0625

1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1

Answer:

Its C

Step-by-step explanation:

The statement which best describes what is happening in section C is His car is slowing down.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

The graph is attached below.

There are 4 sections on the graph.

In the section A, the car is speeding up since the speed is increasing as the time increases.

In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.

In the section C, speed is decreasing with time. So the car is slowing down.

In the section D again the car travels at a constant speed.

Hence in section C, car is slowing down.

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Answer:

20

Step-by-step explanation:

The area of a kite is equal to the product of both of its diagonals and 1/2.

First diagonal:

2 + 2 = 4

Second diagonal:

8 + 2 = 10

Find the area.

10 × 4 × 1/2

40 × 1/2

= 20

Answer:20

2+2=4

8+2=10

10x4x1/2

40x1/2

=20

This question bus incomplete because it lacks the appropriate options.

Complete Question

The total cost of a new calculator is

$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?

A. $77.69

B. $83.99

C. $78.80

D. $84.56

Answer:

D. $84.56

Step-by-step explanation:

From the question, we are given the following values

Total cost of a new calculator = $81.05

Student discount = 10%

Sales tax = 6.5%

The formula to use is

Total price = Original price ( 1 ± r)

Where r = rate of the discount or sales tax

Step 1

Find the original price of the calculator without the discount

Because we are calculating using discount we are using the minus sign

Total price = $81.05

r = 10% = 0.1

Total price = Original price ( 1 - r)

$81.05 = Original price (1 - 0.1)

$81.05 = Original Price × 0.9

Original price = $81.05÷ 0.9

= $90.055555556

Approximately, the original price without the 10% discount is $90.06

Step 2

Find the Original price without the sales tax

Because we are calculating using sales tax we are using the plus sign

Total price = $90.06

This is because the Original price without the discount = Current total price with sales tax for step 2

r = 6.5% = 0.065

Total price = Original price ( 1 + r)

$90.06 = Original price (1 + 0.065)

$90.06 = Original Price × 1.065

Original price = $90.06÷ 1.065

= $84.563380282

Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.

You need to find the unit price.

So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7

You need to do the same thing to 3 3/5 cups.

3 3/5 as an improper fraction is 18/5

2 4/7 as an improper fraction is 18/7

Now to divide you need to keep, change, and flip

keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18

18/5*7/18=7/5

7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies

The total number of cups of oats are required per pound of cookies is 7/5 and this can be determined by using the unitary method.

Given :

A bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies.

The following steps can be used in order to determine the total number of cups of oats are required per pound of cookies:

Step 1 - The unitary method can be used in order to determine the total number of cups of oats are required per pound of cookies.

Step 2 - According to the given data, a bakery uses 18/5 cups of oats to make 18/7 pounds of oatmeal cookies.

Step 3 - So, the total number of cups of oats are required per pound of cookies is:

[tex]=\dfrac{\dfrac{18}{5}}{\dfrac{18}{7}}[/tex]

Step 4 - Simplify the above expression.

= 7/5 cups/pound

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Answer:

Bruh.........................

Step-by-step explanation:

Answer:

Second number line.

Step-by-step explanation:

Answer:

The correct answer is the second number line.

Step-by-step explanation:

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

True statements: 1, 2, 3

Step-by-step explanation:

-|2x+3|=1

-|2x+3|/-1=1/-1

|2x+3|=-1

2x=-1-3

2x=-4

2x/2=-4/2

x= -2

Answer:

1/1

Step-by-step explanation:

because that is it

Answer:

22.4 cm

Step-by-step explanation:

Given

r = 10 cm

θ = 135°

Perimeter of sector is:

P = 2r + 2πr(θ/360)

P = 2*10 + 2(3.14)(135/360) = 22.4 cm (rounded)

Answer:

The equation of the burning of the candle is

[tex]y = -2x + 12[/tex]

It would take 6 hours for the candle to burn out completely.

Step-by-step explanation:

A candle is burning. It starts out 12 inches long.

After 1 hour, it is 10 inches long.

After 3 hours, it is 6 inches (5.5 must be a typing error)

2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,

The burning of this candle can be modeled by a linear equation of the form

[tex]y = mx + b[/tex]

where y is the length of the candle in inches, x is the time in hours, m is the slope and b is the y-intercept.

The height of the candle is clearly a function of time since it changes with time.

The slope m is given by

[tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]

Where

[tex](x_1, y_1) = (0, 12) \\\\(x_2, y_2) = (1, 10) \\\\[/tex]

[tex]$ m = \frac{10 - 12}{1 - 0} $[/tex]

[tex]m = -2[/tex]

The slope of negative 2 means that the length of the canlde is decreasing by a factor of 2.

To find the value of the y-intercept (b),

substitute (x, y) = (0, 12)

which means that at x = 0 the length of the candle is 12 inches.

[tex]y = mx + b \\\\12 = -2(0) + b \\\\b = 12[/tex]

So the equation of burning of the candle becomes

[tex]y = mx + b \\\\y = -2x + 12 \\\\[/tex]

1. When do you think the candle will burn out completely?

Since we have the equation now we can find the length of the candle for any given time and also find the time required for a specific length of the candle.

Burn out completely means the length of the candle becomes zero.

[tex]y = -2x + 12 \\\\0 = -2x + 12 \\\\-2x = -12 \\\\x = 12/2 \\\\x = 6 \: hours \\\\[/tex]

Therefore, it would take 6 hours for the candle to burn out completely.

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400.

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = [tex]\frac{bh}{2}[/tex]

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.

Slope is rise over run. We are given the points of (6, 13) and (10, 31).

[tex]m=\frac{rise}{run}=\frac{31-13}{10-6} =\frac{18}{4} =\huge\boxed{\frac{9}{2}}[/tex]

The slope, or 'm' should be [tex]\frac{9}{2}[/tex].

Answer:

A, B, D

Step-by-step explanation:

Answer:

12.56

Step-by-step explanation:

The shape is 1/4 of a circle.

The arc length is 1/4 of the whole circle’s circumference.

[tex]C=3.14 \times d[/tex]

[tex]r=8[/tex]

[tex]d=2r\\d=2(8)\\d=16[/tex]

[tex]1/4 \times 3.14 \times 16[/tex]

[tex]=12.56[/tex]

Answer:

12.56

Step-by-step explanation:

1. Circumference equation: 2πr

2. Substitute radius in equation: 2•8π

3. Simplify: 16π, or 50.24

4. Divide by 4, since you only need to find 1/4 of the circumference: 12.56

Answer:

PARALLELOGRAM have 2 pairs of congruent angles

Step-by-step explanation:

QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.

The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

A figure enclosed by the four sides and the sum of all the angles are equal to 360.

Properties of a quadrilateral are:-

A quadrilateral has four sides (edges)

A quadrilateral has four vertices (corners)

A quadrilateral has interior angles that add to 360 degrees:

Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.

So here  All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

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Answer:

D

Step-by-step explanation:

Answer:

y = 2x2 –12

Step-by-step explanation:

74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)

192=180-x

192-180=-x

12=-x

-12=x