Please help!!!! Circle U is shown. Chords R T and Q S intersect at a point forming 4 angles. The top left angle is angle 1, and the top right angle is angle 2. Arc R Q is 53 degrees and arc S T is 47 degrees. Angle 1 intersepts arc R Q. Angle 2 intersepts arc R S. What are the measures of angles 1 and 2?
m∠1 = °
m∠2 = °

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

Answer:

1/2

Step-by-step explanation:

because I just took the test

Answer:

Step-by-step explanation:

35/100 = 7/20

Answer:

The boat traveled 781.5 feet from point AA to point BB

Step-by-step explanation:

Find the height of the small triangle then find the base of the big triangle then subtract the two answers to find the distance between a and b

:)

The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

To know more about the slope of line, here

https://brainly.com/question/3493733

#SPJ10

Answer:

Step-by-step explanation:

A fixed expense is an ongoing, regular cost that does not change in relation to the quantity of goods or services produced or sold. Fixed expenses are typically things like rent, insurance, property taxes, or salaries, which need to be paid on a regular basis regardless of changes in the business's sales or production levels. They are called "fixed" because they are not affected by fluctuations in sales volume or other variables that may impact the business's profitability. Fixed expenses are an important consideration in budgeting and financial planning, as they represent a steady drain on a company's resources that must be accounted for and managed to ensure the business's long-term viability.

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer: y = -0.5x +1

Step-by-step explanation:

Answer:

225 calories

Step-by-step explanation:

1 recipe makes

12 standard sized pancakes

2 pancakes are 1/6 of the recipe

1/6 of the recipe has 150 calories

6 × 150 calories = 900 calories

The full recipe of 12 pancakes has 900 calories

1/2 recipe was made

1/2 recipe has 1/2 × 900 calories = 450 calories

1/2 recipe made 8 pancakes

4 pancakes are half of the half recipe or 1/4 recipe

1/4 × 900 calories = 225 calories

Answer:

yes all of the points are on the same line

Step-by-step explanation:

The cosine of twice the angle is given as follows:

cos(2θ) = -527/625.

The identity to obtain the cosine of twice the angle is given as follows:

cos(2θ) = cos²(θ) - sin²(θ).

The relation between the sine and the cosine is given as follows:

sin²(θ) + cos²(θ) = 1.

Hence the cosine squared is obtained as follows:

cos²(θ) = (7/25)²

cos²(θ) = 49/625.

The sine squared is given as follows:

sin²(θ) = 1 - cos²(θ)

sin²(θ) = 1 - (49/625)

sin²(θ) = (625/625) - (49/625)

sin²(θ) = 576/625.

Meaning that the cosine of twice the angle is given as follows:

cos(2θ) = cos²(θ) - sin²(θ).

cos(2θ) = 49/625 - 576/625

cos(2θ) = -527/625.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

Step-by-step explanation:

8 = 23 - 5w

subtract 23 from both sides to cancel out 23

-15 = -5w

divide both sides by -5 to isolate w

3 = w, dividing a negative by a negative will result in a positive

The sketch of the front elevation and the side elevation of the prism are added as an attachment

From the question, we have the following parameters that can be used in our computation:

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

Read more about prism at

brainly.com/question/23178481

#SPJ1

Answer:

9

Step-by-step explanation:

i dont know

if it right or wrong

Answer:

30

Step-by-step explanation:

I did the test i hope it helps brainlist plz :>

-lexi

Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

Answer:

12 x^9 + 15 x^8 - 8 x^6 - 10 x^5 = A.) is the answer

Step-by-step explanation:

Expand the following:

x^4 (3 x^3 - 2) (4 x^2 + 5 x)

Hint: | Multiply 3 x^3 - 2 and 4 x^2 + 5 x together using FOIL.

(3 x^3 - 2) (4 x^2 + 5 x) = (3 x^3) (4 x^2) + (3 x^3) (5 x) + (-2) (4 x^2) + (-2) (5 x) = 12 x^5 + 15 x^4 - 8 x^2 - 10 x = 12 x^5 + 15 x^4 - 8 x^2 - 10 x:

x^4 12 x^5 + 15 x^4 - 8 x^2 - 10 x

Hint: | Distribute x^4 over 12 x^5 + 15 x^4 - 8 x^2 - 10 x.

x^4 (12 x^5 + 15 x^4 - 8 x^2 - 10 x) = x^4 (12 x^5) + x^4 (15 x^4) + x^4 (-8 x^2) + x^4 (-10 x):

12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^4 x

Hint: | Combine products of like terms.

x^4 (-10) x = x^(4 + 1) (-10):

12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 + -10 x^5

Hint: | Evaluate 4 + 1.

4 + 1 = 5:

12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^5

Hint: | Combine products of like terms.

x^4 (-8) x^2 = x^(4 + 2) (-8):

12 x^4 x^5 + 15 x^4 x^4 + -8 x^6 - 10 x^5

Hint: | Evaluate 4 + 2.

4 + 2 = 6:

12 x^4 x^5 + 15 x^4 x^4 - 8 x^6 - 10 x^5

Hint: | Combine products of like terms.

x^4×15 x^4 = 15 x^8:

12 x^4 x^5 + 15 x^8 - 8 x^6 - 10 x^5

Hint: | Combine products of like terms.

x^4×12 x^5 = x^(4 + 5)×12:

12 x^9 + 15 x^8 - 8 x^6 - 10 x^5

Hint: | Evaluate 4 + 5.

4 + 5 = 9:

Answer: 12 x^9 + 15 x^8 - 8 x^6 - 10 x^5

Answer:

The answer is the the first one

Answer:

157.6

Step-by-step explanation:

Use PEMDAS! In this rule, it is stated that we should always add/subtract before multiplying/dividing. Also, whatever you do on one side of an equation, you do to another. Therefore, in order to get rid of the -2/5, add 2/5 so we can get rid of it. We also (according to the rule), have to add it to the other side in order to balance out. So add the 2/5 to 39. Then the other side is now 39.4. Now we have to get x by itself. Divide both sides by 1/4 (or multiply by 4 on both sides) in order to get x=157.6

Solution

For this case we can do the following:

Coordinates

Dairy 1,0

Produce 3,3

Bakery 6,2

Frozen foods 2,6

Part A

B. (3,5)

Part B

D. (2,2)

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

Learn more about volume at:
#SPJ1

Answer:

Step-by-step explanation:

ODYSSEY

The quadratic equation is of the form y = ax² + bx + c

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree just 2, or simply known as a quadratic.

Complete question: The table represents a quadratic function. Write an equation of the function in standard form.

\($$\begin{array}{lllll}x & -9 & -7 & -5 & -3\end{array}$$$\begin{array}{lllll}y & 0 & 8 & 8 & 0\end{array}$\)

y=

To learn more about quadratic function visit:

https://brainly.com/question/18958913

#SPJ1

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

Read more about Perimeter of triangle at; https://brainly.com/question/24382052

#SPJ1

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

Learn more about quotient at https://brainly.com/question/11995925

#SPJ1

Answer:

Step-by-step explanation:

The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.

The first four terms of the sequence defined by the given formula are 7, 4, 15, and 4.

To find the first four terms of the sequence defined by the given formula, we need to evaluate the formula for the corresponding values of n.

Given:

an = 2 + 2 if n is even

an = 4n + 3 if n is odd

Let's find the first four terms:

For n = 1 (odd), substituting n into the formula for odd values:

a1 = 4(1) + 3 = 4 + 3 = 7

For n = 2 (even), substituting n into the formula for even values:

a2 = 2 + 2 = 4

For n = 3 (odd), substituting n into the formula for odd values:

a3 = 4(3) + 3 = 12 + 3 = 15

For n = 4 (even), substituting n into the formula for even values:

a4 = 2 + 2 = 4

Therefore, the first four terms of the sequence are: 7, 4, 15, 4.

For more such question on sequence. visit :

https://brainly.com/question/26263191

#SPJ8

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

Learn more about normal distribution here:

https://brainly.com/question/31327019

#SPJ1

The 10th term of the geometric sequence is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

Using the mth term as the reference, we have that:

\(a_n = a_mq^{n-m}\)

Hence:

\(a_5 = a_3q^2\)

\(q = \sqrt{\frac{a_5}{a_3}}\)

And then the 10th term is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1

Part A - The average value of v(t) over the interval  (0, π/2) is 6/π

Part B -  The displacement of the yo-yo from time t = 0 to time t = π is 0 m

Part C - The total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

The average value of a function f(t) over the interval (a,b) is

\(f(t)_{avg} = \frac{1}{b - a} \int\limits^b_a {f(t)} \, dx\)

So, since  velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. Its average value over the interval  (0, π/2) is given by

\(v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {v(t)} \, dt\)

Since v(t) = 3cost, we have

\(v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {3cos(t)} \, dt\\= \frac{3}{\frac{\pi }{2}} \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= \frac{6}{{\pi}} [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= \frac{6}{{\pi}} [{sin(\frac{\pi }{2})} - sin0]\\ = \frac{6}{{\pi}} [1 - 0]\\ = \frac{6}{{\pi}} [1]\\ = \frac{6}{{\pi}}\)

So, the average value of v(t) over the interval  (0, π/2) is 6/π

To find the displacement of the yo-yo, we need to find its position.

So, its position x = ∫v(t)dt

= ∫3cos(t)dt

= 3∫cos(t)dt

= 3sint + C

Given that at t = 0, x = 3. so

x = 3sint + C

3 = 3sin0 + C

3 = 0 + C

C = 3

So, x(t) = 3sint + 3

So, its displacement from time t = 0 to time t = π is

Δx = x(π) - x(0)

= 3sinπ + 3 - (3sin0 + 3)

= 3 × 0 + 3 - 0 - 3

= 0 + 3 - 3

= 0 + 0

= 0 m

So, the displacement of the yo-yo from time t = 0 to time t = π is 0 m

The total distance the yo-yo travels from time t = 0 to time t = π is given by

\(x(t) = \int\limits^{\pi}_0 {v(t)} \, dt\\= \int\limits^{\pi }_0 {3cos(t)} \, dt\\= 3 \int\limits^{\pi }_0 {cos(t)} \, dt\\ = 3 \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt + 3\int\limits^{\pi }_{\frac{\pi }{2}} {cos(t)} \, dt\\= 3 \times 2\int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= 6 [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= 6[{sin\frac{\pi }{2} - sin0]\\\\= 6[1 - 0]\\= 6(1)\\= 6\)

So, the total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

Learn more about average value of a function here:

https://brainly.com/question/15870615

#SPJ1

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1