Find the value of x for the following

Answer:

I would say 9 nickels 4 dimes

Step-by-step explanation:

dime= .10

nickel = .05

10×4= 40

5×9= 45=85

All of the others add up to high

$1.10

$1.20

0.90

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

61

Step-by-step explanation:

aₙ = a₁ + (n - 1)d

aₙ = 4 + (20 - 1)3

aₙ = 4 + (19)3

aₙ = 4 + 57

aₙ = 61

Answer:

Step-by-step explanation:

Dilated by a factor of three means that the two dimensions needed for the are are multiplied by 3.

width = 6*3 = 18

Length = 10 * 3 = 30

Area of dilated rectangle = 18*30 = 540 inches ^2

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

By the Angle - Angle - Angle criteria both ΔDEF and ΔSTR are Similar to each other.

Two triangles are said to be similar triangles if all three corresponding angles are equal or if all three sides are equal. The symbol "∼" is used to represent the similarity between two triangles.    

AAA Similarity Criterion for Two Triangles:

When three angles in two triangles are equal then the two triangles are said to be similar triangles.    

Here we have

ΔDEF and ΔSTR

From ΔDEF  

∠D = 46° and ∠E = 46°  

As we know the sum of angles in a triangle = 180°

=> ∠D + ∠E + ∠F = 180°

=> 46° + 46° + ∠F = 180°

=> ∠F = 180 - 46 - 46

=> ∠F = 88°

Similarly, In ΔSTR  

=> ∠ T = 88°  

Thus,

Three corresponding angles of ΔDEF and ΔSTR are equal

Therefore,

By the Angle - Angle - Angle criteria both ΔDEF and ΔSTR are Similar to each other.

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Answer:

Exponential notion makes a big number easier to write and read.

Step-by-step explanation:

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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The range, in centimetres (cm), of the following lengths is 20.5 cm

What is the range?

The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm

So, the highest value of length = 21 cm

the lowest value of length = 0.5 cm

Then, range = the highest value - the lowest value

                    = 21 - 0.5 = 20.5 cm

Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm

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9514 1404 393

Answer:

  9/8

Step-by-step explanation:

To clear the fraction in the ratio 4.5 to 4, you can multiply both numbers by 2. This gives you the reduced ratio 9 to 8. As a fraction, that is 9/8.

Answer: $7416

Step-by-step explanation:

You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)

The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

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Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

A.  We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."

B. The factors are the variables.  The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments.  Another variable is the change in blood pressure recorded at the end of the period.

The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.

C. The principles of experimental design are Randomization, Repetition, and Control.  We are not aware of how the participants were chosen and this experiment was not replicated in the scenario.  We can affirm that there is Control because the three groups were not given the same treatment.

Step-by-step explanation:

In an observation, the researcher does not attempt to change any variables.  She simply observes and then records her observations.  In an experimental study, the researcher creates a control group and, also at least, one testable group.  The purpose is to compare the control group and the testable group.

To calculate the amount of wire needed to fence Mr. Woodstock's land, you will need to use the formula for the perimeter of a rectangular shape. The formula for perimeter is Length + Width x 2.

Plugging in the given dimensions for Length (36 meters) and Width (16 meters) will give us the following calculation:

36 + 16 x 2 = 88 meters

Therefore, Mr. Woodstock will need 88 meters of wire to fence his land.

9. To draw the rise, you can follow these steps:

- Identify a point on the line. In this case, this can be:

- Draw a vertical line that rises from that point. See the picture below:

10. To draw the line that represents the run, you need to Draw a horizontal line that goes from the endpoint of the line that represents the rise and extend it until it touches the function. See the picture below:

Therefore, the answers are (See the picture):

Step-by-step explanation:

200,000 X 50,000 = 100000000

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000 then  the revenue per month is 2083 and the cost per month is 25000

Two or more expressions with an Equal sign is called as Equation.

Given,

If the total profit per month is Rs 200,000

Revenue per month can be obtained twice the cost per month minus 50,000

2x-50000

2x=50000

x=25000

So cost per month is 25000

The revenue per month is 25000/12

2083

Hence, the revenue per month is 2083 and the cost per month is 25000

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if there is 4 digits and 9 numbers each there is a possibility of 9 to the power of 4 different combinations.

Answer:

544

.....................

Answer:

543

Step-by-step explanation:

The required number = 540 + 3 = 543

hope this helps

Answer: See attached image

Step-by-step explanation:

\(\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}\)

\(x < 2\quad \mathrm{or}\quad \:x > -1\)

See attached merged number line below:

The first number line is of x < 2

The second number line is of interval x > -1

The third number line is the merge of the overlapping intervals

Answer:

its just what the question says

Step-by-step explanation:

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

72 cubic meters

Step-by-step explanation:

Again to calculate volume you have to take all three measurements given and multiply them like so: x times y times z. In this case x = 4, y = 1 and z = 18. When you multiply all of these terms you get 72 cubic meters.

The volume of the rectangular prism that has height of 4 m, length of 118 m, and width of 10 m is calculated as: 720 m³.

Volume of any rectangular prism = length × width × height of the prism.

Given the parameters for the rectangular prism:

Plug in the values

Volume of the rectangular prism = 18 × 10 × 4 = 720 m³

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The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.