If the base angles of a triangle are congruent, use the Law of Sines to show the triangle is isosceles.

Answer:

sadfasdaf

Step-by-step explanation:

ok, this should be easyyyyyyyy

Answer:

B. 2.2 kilometers

Step-by-step explanation:

⭐What is the change in the cyclist's elevation?

Thus, we need to solve for the value of the height (x) of the hill.

Notice that the hill is in the shape of a right triangle. In order to find an unknown side length for right triangles, we need to use a trigonometric function.

⭐What is a trigonometric function?

First, let's see what kind of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length of 10km, which is the hypotenuse of the triangle, and we are given a side length of x, which is the opposite of θ (13°).

Therefore, we will use the trigonometric function sin(θ) to solve for x.

Substitute the side lengths and angle measures we are given:

\(sin(13) = \frac{x}{10}\)

Set the equation equal to x:

\(10sin(13) = x\)

Solve for x. I recommend using a scientific calculator (e.g. Desmos Scientific Calculator):

\(2.2 = x\)

∴ The cyclist's change in elevation is 2.2 kilometers.

The initial speed of the mountain lion as it leaves the ground is , 8.95 m/s.

We have,

A mountain lion jumps to a height of 3.10 m when leaving the ground at an angle of 40.5 degree.

Now, we can use the kinematic equation:

h = (v² sin²(θ)) / (2 g)

Where h is the height, v is the initial velocity, theta is the angle, and g is the acceleration due to gravity.

First, we need to convert the angle to radians:

θ = 40.5 degrees = 40.5 × (π/ 180) radians

= 0.706 radians

Now we can plug in the known values:

h = 3.10 m

θ = 0.706 radians

g = 9.81 m/s²

Solving for v, we get:

v = √((2 g h) / sin²(θ))

= √((2 × 9.81 × 3.10) / sin²(0.706))

= 8.95 m/s

Therefore, the initial speed is , 8.95 m/s.

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Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.

The degree of a polynomial is the highest power of x in the polynomial.

In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.

It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.

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Answer:

Step-by-step explanation:

Answer:

7 to the left, and up 2.

Step-by-step explanation:

Answer:

carbon dioxide + water sunlight glucose + oxygen

Step-by-step explanation:

glucose on the right because it is a by product of photosynthesis.

Answer:

According to the Fundamental Counting Principle, when we roll the die and spin the spinner the number of equally likely outcomes is (6)(4) = 24.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the number of solutions corelatea with number of cross-points in the graphs, in our exame, 1 point, hence 1 solution

The surface area of a regular pyramid can be calculated using the formula: Surface Area = base area + lateral area. To find the base area, we need to determine the shape of the base.

In the given case, the base shape is not specified, so we cannot determine the surface area without additional information. To calculate the surface area of a regular pyramid, we need to consider the base area and the lateral area.

The base area depends on the shape of the base, which is not provided in the given information. Without knowing the shape of the base, we cannot calculate the base area. The lateral area depends on the slant height and perimeter of the base, which are also not provided.

Therefore, without further information, we cannot determine the surface area of the given regular pyramid.

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Answer:

6k-14

Step-by-step explanation:

The algebraic expression for inequality is 14 < 6k.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the statement

14 less than the quantity k times 6

Now, k times 6 = 6k

and, 14 less than k times 6 can written into mathematical form as

14 < 6k

k > 14/6

k> 7/3.

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Answer:

5.52 cm

Step-by-step explanation:

area of circle =pi r^2

r=square root (95.75/pi)

=5.52

The question is an illustration of composite functions.

The given parameters are:

(a) Functions c(n) and n(h)

Let the number of system be n, and h be the number of hours

So, the cost function (c(n)) is:

\(\mathbf{c(n) = Fixed + Additional \times n}\)

This gives

\(\mathbf{c(n) = 5000 + 250 \times n}\)

\(\mathbf{c(n) = 5000 + 250n}\)

The function for number of systems is:

\(\mathbf{n(h) = 5 \times h}\)

\(\mathbf{n(h) = 5h}\)

(b) Function c(n(h))

In (a), we have:

\(\mathbf{c(n) = 5000 + 250n}\)

\(\mathbf{n(h) = 5h}\)

Substitute n(h) for n in \(\mathbf{c(n) = 5000 + 250n}\)

\(\mathbf{c(n(h)) = 5000 + 250n(h)}\)

Substitute \(\mathbf{n(h) = 5h}\)

\(\mathbf{c(n(h)) = 5000 + 250 \times 5h}\)

\(\mathbf{c(n(h)) = 5000 + 1250h}\)

(c) Find c(n(100))

c(n(100)) means that h = 100.

So, we have:

\(\mathbf{c(n(100)) = 5000 + 1250 \times 100}\)

\(\mathbf{c(n(100)) = 5000 + 125000}\)

\(\mathbf{c(n(100)) = 130000}\)

(d) Interpret (c)

In (c), we have: \(\mathbf{c(n(100)) = 130000}\)

It means that:

The cost of working for 100 hours is $130000

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Answer:

The base is 12.5 cm.​

Explanation:

From the diagram, the perpendicular height of the triangle = 32cm

Area = 400 square cm.

Substitute the given values into the formula:

The base is 12.5 cm.​

Answer:D or C

Step-by-step explanation:

Answer:

h/24= d

if you have any questions do ask

The ribbon length is 56 cm.

The area of the fabric is 558 cm.

We have,

Arc length of a circle = 2πx angle/ 360

Now,

angle = 160

radius = 20 cm

So,

Arc length of a circle

= 2πx 160/ 360

= 2 x 3.14 x 20 x 160/360

= 55.82

= 56 cm

And,

Area of the sector = πr² x angle/360

angle = 160

radius = 20 cm

So,

Area of the sector

= π X 20 X 20 x 160/360

= 3.14 X 400 X 160/360

= 558.22

= 558 cm²

Thus,

The ribbon length is 56 cm.

The area of the fabric is 558 cm.

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The labor cost for concessions and parking lot operations is 35.57% of the total labor costs.

Percentage is a term used to describe a portion of a whole expressed as a fraction of 100.

Let's call the total labor costs "L". The labor cost for concession staff is 55,000, the labor cost for security is 82,500, the labor cost for parking lot operations is 45,000 and the labor cost for ticket/usher operations is 49,000.

L = 55,000 + 82,500 + 45,000 + 49,000

L = 281,500

The labor cost for concessions and parking lot operations is 55,000 + 45,000 = 100,000.

To find the percentage of L that is represented by the labor cost for concessions and parking lot operations, we divide 100,000 by 281,500 and multiply by 100:

100,000 / 281,500 * 100 = 35.57%

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Answer:

(2) The statement is true.

-1 < r < 1

The probability of a diffusing atom jumping from one site to another is influenced by temperature. It is typically described by the Arrhenius equation:

P = \(Ae^{(-Q/RT)}\)

Where:

P is the probability of a jump

A is the pre-exponential factor

Q is the activation energy

R is the gas constant

T is the absolute temperature in Kelvin

To calculate the probability at 500°C and 1000°C, we need to convert these temperatures to Kelvin:

\(T_{500C}\) = 500 + 273.15

= 773.15 K

\(T_{1000C}\) = 1000 + 273.15

= 1273.15 K

Assuming we have values for the pre-exponential factor (A) and activation energy (Q), we can substitute these values into the Arrhenius equation to calculate the probabilities at the given temperatures. However, without specific values for A and Q, we cannot provide a numerical answer.

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Answer:

A

Step-by-step explanation:

Use a calculator lol -10+-3=-13

Answer:

A

Step-by-step explanation:

There should not be a plus there because it is already -3

Thus,

-10-3=-13

Answer:

w(t-4)=t^2-9t+20

Step-by-step explanation:

w(t)=t^2-t

w(t-4)=(t-4)^2-(t-4)

w(t-4)= t^2-8t+16-t+4

w(t-4)=t^2-9t+20

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ \(\frac{2[g(x)]}{2}\) = \(\frac{10x}{2}\) + \(\frac{4}{2}\)

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

a. To identify the hypothesis test as two-tailed, left-tailed, or right-tailed, we need to look at the alternative hypothesis (H1).

If the alternative hypothesis is H1: p ≠ 0.547 (not equal), it is a two-tailed test.

If the alternative hypothesis is H1: p < 0.547 (less than), it is a left-tailed test.

If the alternative hypothesis is H1: p > 0.547 (greater than), it is a right-tailed test.

Since the claim is about the inequality (p ≠ 0.547), it is a two-tailed test.

b. To find the p-value, we need to compare the test statistic (z = 1.49) to the standard normal distribution.

For a two-tailed test, the p-value is the probability of observing a test statistic as extreme as the one obtained (in either tail) if the null hypothesis is true.

Using a standard normal distribution table or a statistical software, we can find the p-value associated with the test statistic.

In this case, the p-value represents the combined probability in both tails.

c. To determine whether we should reject or fail to reject the null hypothesis, we compare the p-value to the significance level (α).

If the p-value is less than the significance level (α), we reject the null hypothesis.

If the p-value is greater than or equal to the significance level (α), we fail to reject the null hypothesis.

Using a significance level of α = 0.05, if the p-value is less than 0.05, we reject H0. If the p-value is greater than or equal to 0.05, we fail to reject H0.

Please provide the p-value associated with the test statistic (z = 1.49) in order to determine the conclusion for this specific test.

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Answer:

D 1.29x+1.35y≤12

Step-by-step explanation:

Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12.

Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.

1.29x+1.35y≥121.29x+1.35y≥12

1.29x+1.35y>121.29x+1.35y>12

1.29x+1.35y<121.29x+1.35y<12

1.29x+1.35y≤12

This function f(x) = (2x + 1) / (3x) is not one-to-one.

Suppose we have two distinct elements a and b in the domain of the function f such that f(a) = f(b). We must demonstrate that this implies

a = b. In this case, we have f(a) = f(b) implies

(2a + 1)/(3a) = (2b + 1)/(3b)

Now cross-multiplying and simplifying, we get:

2ab + b = 2ab + a3b/3a =&gt; 3a(2ab + b)

= 3b(2ab + a)

=&gt; 6a²b + 3ab

= 6b²a + 3ab

=&gt; 6a²b

= 6b²a =&gt; a = b

If the above equation is valid for some pair of values (a,b), then f is not one-to-one because it maps two different domain values to the same range value. Therefore, the function f(x) = (2x + 1) / (3x) is not one-to-one.

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Answer:

x = 1

Step-by-step explanation:

First, combine like terms. Like terms are terms that share not only the same variable, but the same amount of that variable:

5x - 4 + 2x = 3

(5x + 2x) - 4 = 3

7x - 4 = 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

First, add 4 to both sides of the equation:

7x - 4 (+4) = 3 (+4)

7x  = 3 + 4

7x = 7

Next, divide 7 from both sides of the equation:

(7x)/7 = (7)/7

x = 7/7 = 1

x = 1 is your answer.

~

Answer:

x = 1

Step-by-step explanation:

5x - 4 + 2x = 3

7x - 4 = 3           (add the Xs together)

7x = 7                (add seven to both sides)

x = 1                  (divide both sides by 7)