Please help urgent!
Ex 3: Quadrilateral ABCD is a parallelogram.
a) m/BAC = 54°,
find m/DCA =
D
D
A
c) m/DCB = 142° & m/DCA =
37⁰,
find m/BAC=
D
A
E
A
E
7
C
e) AE = 14 cm & DE = 18 cm,
find EB =
E
B
?
C
B
B
find m/DAB =
D
D
d) m/ABC = 73° &
m/DBA = 31°,
find m/DBC =
b) m≤ADC = 78°,
D
A
A
A
E
O
E
f) EC = 10 cm & EB = 15 cm,
find AC =
E
C
B
OB
C
B

Answer:

1. using the formula (aX2/h)-22

17

Step-by-step explanation:

Take area multiply by 2

234x2=468

Divide answer by height which is 12 you get 39

39subtract 22 you get your answer as 17

Let us make the line from the picture, pointing the given equations:

From the draw and the given equations, we note that:

Therefore, we can solve the equation for y as follows

Where in the last line, we add the similar terms, for example 3y+4y=7y. Let us continue the calculations

where in the second line of the equation above, we pass the 12 from the right to the left with opposite sign. We discover y as follows

That is, we have y=6.

Let us now calculate the value of RD an RT. We know from the question that

as we discover that y=6, substituting this value in the equations above we find:

We conclude that RS=27 and ST =27 .

Answer:

The 3rd-grade teacher should say that the school systems and ways of teaching get updated each year.

Step-by-step explanation:

Children's parent's schools would have probably taught different techniques and ways of learning a topic. As years go by, more efficient ways of learning that topic are presented and selected.

If the parent would like the child to learn that way, they may teach them at home, but the school has decided on a system for at-school learning that seems to have worked the best.

Hopefully, that should answer the parent's questions!

The following statements "In any comparison, the two values compared can be either variables or constants" is True.

In any comparison, the two values compared can be either variables or constants. Variables are values that can change, while constants are fixed values. Comparisons can involve any combination of these (e.g., variable-variable, variable-constant, or constant-constant).

In computer programming, variables and constants are two fundamental concepts used to store and manipulate data.

A variable is a named storage location in computer memory that holds a value of a certain data type, such as a number, a string of characters, or a Boolean value (true/false). The value stored in a variable can change during program execution, hence the name "variable". Variables are typically used to store data that may change frequently, such as user input, intermediate results of calculations, or data read from a file.

For example, in a program that calculates the area of a circle, the radius of the circle would be stored in a variable. If the user changes the value of the radius, the value stored in the variable would also change accordingly.

A constant, on the other hand, is a value that remains the same throughout the program execution. It is also a named storage location in memory, but unlike a variable, the value stored in a constant cannot be changed after it has been defined. Constants are typically used to store data that does not change, such as mathematical constants (e.g., pi), physical constants, or configuration settings.

For example, in the same program that calculates the area of a circle, the value of pi would be stored in a constant. The value of pi would not change during program execution, and hence it would be defined as a constant.

In summary, variables and constants are two important concepts in programming used to store and manipulate data. Variables are used to store data that may change during program execution, while constants are used to store data that remains constant throughout the program.

To know more about variables and constants, refer here:

https://brainly.com/question/17367653

#SPJ11

Answer:

The answer is b

Answer:49.5

Step-by-step explanation:

Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)

Answer:

10 + 3π cm

Step-by-step explanation:

In the given figure,

Here, we are asked to find the perimeter of the shaded figure, i.e, SA + AC + CT + Arc SBT.

The perimeter of arc SBT can be found using the formula 2πr/4 [Given ⟶ arc SBT = quarter (¼) of a circle].

So,

2πr/4

= 2π(6)/4

= 12π/4

= 3π cm

Now, from the figure..

SA + AC + CT

= (SR - AR) + AC + (RT - RC)

By, rearranging the terms...

= SR + AC + RT  - (AR + RC) ---------> (1)

Again, from the figure, we can see that,

So, by substituting these values in (1)

SR + AC + RT  - (AR + RC)

= 6 + 6 + 6 - (8)

= 18 - 8

= 10 cm

And, the perimeter of the shade figure is,

SA + AC + CT + Arc SBT.

\(= \boxed{\tt\:10 + 3\pi \: cm}\)

_________

Hope it helps!

\(\mathfrak{Lucazz}\)

Answer:

Step-by-step explanation:

Take into account that:

Since R is the center and B is on the circle we have:

The arc SBT is the quarter of the length of circle:

Find the sum of SA and CT:

So the perimeter of shaded zone is:

Answer:

Total cost= 55 + 0.42*x

x= miles driven

Step-by-step explanation:

Giving the following information:

Bob's cost for his truck was $112.96 for 138 miles.

Carl's cost for his truck was $142.78 for 209 miles.

To calculate the fixed cost and variable cost per mile, we need to use the high-low method:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (142.78 - 112.96) / (209 - 138)

Variable cost per unit= $0.42 per mile

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 142.78 - (0.42*209)

Fixed costs= $55

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 112.96 - (0.42*138)

Fixed costs= $55

Finally, the cost equation:

Total cost= 55 + 0.42*x

x= miles driven

Answer:

The answer is D

Step-by-step explanation:

The coefficient a3 is -48.

Taylor's Theorem  gives the approximation for the value of a function.

The Taylor's theorem states that a function is equal to the sum of its derivatives at a single point divided by the factorial of the derivative number multiplied by the power of the difference between the argument of the function and the reference point.

The Taylor polynomial P3(t) can be computed as follows, By Taylor's theorem, we can find a Taylor polynomial P3(t) of degree 3 for the function

g(t)=cos(2t)sin(4t)

near t=0 such that g(t)

=P3(t)+R3(0,t) in some interval

where R3(0,t) is the remainder term. Writing P3(t) as P3(t)=a0+a1t+a2t2+a3t3a0

=g(0)=cos(0)sin(0)

=0a1=g′(0)

=−2sin(0)sin(0)+4cos(0)cos(0)

=0a2=g′′(0)

=−4cos(0)sin(0)−16sin(0)cos(0)

=0a3=g′′′(0)

=8sin(0)sin(0)−48cos(0)cos(0)

=−48

To know more about Taylor's Theorem visit:

https://brainly.com/question/13264870

#SPJ11

Answer:

2(7(9) + 9(10) + 7(10)) = 2(63 + 90 + 70) = 2(223) = 446 square meters

Answer:

that would be ten dollars $10

Answer: $28

Step-by-step explanation:

regular price = 35

20% = 20/100 = 0.20

35(0.20) = 7

35 - 7 = 28

28

The exact value of tan(S) in simplest radical form is 2/(√42).

Given,

ST = √42 (opposite side to angle S)

TU = 2 (adjacent side to angle S)

US = √46 (hypotenuse of the triangle)

To find the value of tan(S), we need to determine the ratio of ST to TU.

In triangle it is mentioned that the angle of each.

Now, we can calculate the value of tan(S):

tan(S) = TU / ST

tan(S) = 2 /(√42)

Therefore, the exact value of tan(S) in simplest radical form is 2/(√42).

for similar questions on radical form.

https://brainly.com/question/30459960

#SPJ8

Answer:

there would be a total of 25 roses.

Step-by-step explanation:

the total cost is $60

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

Learn more about Gaussian distribution at: brainly.com/question/29734279

#SPJ11

The correct match of each equation on the left to the mathematical property it uses on the right goes as:

Commutative property for addition:

When adding variables to one another, the order by which the variables are added does not affect the sum or the outcome.

Commutative Property for multiplication:

When multiplying variables by each other, the order by which the variables are multiplied does not affect the product or the outcome.

Associative Property for addition:

When adding variables to each other, they may be grouped in different ways, not affecting the sum or outcome.

Associative Property for multiplication:

When multiplying variables by each other, they may be grouped in different ways, not affecting the product or outcome.

Read more about mathematical property

brainly.com/question/28210762

#SPJ1

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Step-by-step explanation:

Step 1: Define

3(14 + x) = 57

Step 2: Solve for x

Answer:

x=5

Step-by-step explanation:

First multiply 3(14+x) = 42 + 3x

Now you have the equation 42 + 3x =57

Then subtract 42 from both sides

The equation would be 3x = 15

Divide 3 from each side to get the x value

15/3=5

So therefore your answer would be x = 5

Hope this helps!

Answer:

Does this count as stander form 6.95880148018

Step-by-step explanation:

The induced current in the bar is 0.08 A.

A bar of length 80 cm, which is moving in a magnetic field of 0.3 T, produces an induced EMF, which generates an induced current in the bar.

The bar is moving at a speed of 50 cm/s and has a resistance of 60 mW. We need to determine the induced current in the bar.

To calculate the induced current, we can use the following formula;I = (V / R),Where V is the induced EMF, and R is the resistance of the bar. We can calculate the induced EMF by the formula;

E = B L V,Where B is the magnetic field, L is the length of the bar, and V is the velocity of the bar.

Substituting the given values in the equation,

E = B L V = 0.3 × 0.8 × 50 = 12 V.

Now, we can calculate the induced current by using the formula;I = (V / R) = (12 / 0.06) = 200 mA = 0.2 A.

However, we need to be careful here. We have calculated the induced EMF and the induced current in the S.I. unit. But the given resistance is in milli-ohms, so we need to convert it to ohms.60 mW = 0.06 W = 60 x 10⁻³ Ω,

Substituting the value of resistance in the formula,I = (V / R) = (12 / 60 x 10⁻³) = 200 mA = 0.2 A.So, the induced current in the bar is 0.2 A, which flows in the direction as shown in the figure. The indued current in the bar is 0.08 A

To  know more about induced current visit:

brainly.com/question/31686728

#SPJ11

Answer:

Two-times the x-value and two-times the opposite y-value.

Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

Your teacher may want you to delete the comma.

===============================================================

Explanation:

Let's start with these facts

The main takeaways here are that 1 mile = 5280 ft and 1 hr = 3600 sec.

We'll use those two facts to then convert from mph to feet per second.

\(21 \text{ mph} = \frac{21 \text{ mi}}{1 \text{ hr}}*\frac{5280 \text{ ft}}{1 \text{ mi}}*\frac{1 \text{ hr}}{3600 \text{ sec}}\\\\\\21 \text{ mph} = 21*\frac{5280}{3600} \text{ ft per sec}\\\\\\21 \text{ mph} = 21*30.8 \text{ ft per sec}\\\\\\21 \text{ mph} = 646.8 \text{ ft per sec}\\\\\\\)

This value is exact.

Since the bike is moving at exactly 646.8 ft per second, this means that after 30 seconds, the bike has traveled exactly 646.8*30 = 19,404 feet

I'm using the formula:  distance = rate*time

Side note: 19,404 feet is exactly equal to 3.675 miles (divide by 5280 to convert from feet to miles).

Answer:

a) 1/5

b) 3/8

Step-by-step explanation:

2 and 10 go in 2 table

2 times 1 = 2

2 times 5 = 10

3 times 3 = 9

3 times 8 = 24

Answer:

Hence, The time of a commercial plane ride at this rate is:

280 Minutes or (4 hours and 40 minutes)

First Step-by-step explanation:

Let the speed of the commercial Airplane be

X km/min

The speed of the jet plane is

2x km/min

Multiply both the left & Right sides of the equation by 2x:

1730 / x - 1730 / (2x) = 140

1730 * 2 - 1730 = 140 * 2x

1730 = 280x

x = 1730 / 280

x = 173 / 28

1730 / 173 /28 = 280 (min)

Hence, the time of a commercial plane ride at this rate is:

280 (minutes).

Second  Step by Step explanation:

Make a plan:

x km/h.  

2x km/h.

time = distance/speed

Solve the problem:

x km/h

2x km/h

1730/2x - 1730/x = 7/3 (using the ground truth)

x = 346 km/h (using the ground truth)

1730/2 * 346 = 5/2 hours (using the ground truth)

1730/346 + 140/60 - 5/2 = 5 hours

The time of a commercial plane ride on this route is Five (5) hours.

Hope this helps!

Step-by-step explanation:

a) The dependent variable is the velocity of the scooter, and the independent variable is time.

b) Using the kinematic equation v = u + at, where u is the initial velocity, a is the acceleration, t is time, and v is the final velocity, we can find the velocity as a function of time for t ≤ 6 seconds:

v = u + at = 1.0 + (a × t)

c) The graph of velocity as a function of time for the scooter would be a straight line with a positive slope, starting at (0,1.0) and ending at (6,4.0). The x-axis would be labeled "Time (s)" and the y-axis would be labeled "Velocity (mph)".

d) We can find the acceleration of the scooter by rearranging the equation from part (b) to a = (v - u) / t, where v = 4.0 mph, u = 1.0 mph, and t = 6 seconds:

a = (4.0 - 1.0) / 6 = 0.5 mph/s

We can label the acceleration as 0.5 mph/s on the graph.

e) The initial velocity of the scooter is 1.0 mph, which we can label on the graph.

f) To find the distance traveled by the scooter between 0 and 6 seconds using the graphical method, we can calculate the area under the velocity-time graph. The graph forms a trapezoid with a base of 6 seconds, a height of 3 mph (the difference between the final and initial velocities), and a top length of 1.0 mph. The distance traveled is therefore:

distance = 0.5 × (1.0 + 4.0) × 6 = 15.0 miles

g) To find the distance traveled by the scooter between 0 and 6 seconds using the kinematic equations, we can use the equation s = ut + 0.5at^2, where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is time. Since the acceleration is constant, we can use the average velocity (2.5 mph) to find the distance traveled:

s = 1.0 × 6 + 0.5 × 0.5 × 6^2 = 15.75 miles

The result from the kinematic equation is slightly larger than the result from the graphical method. This is likely due to rounding errors and the approximation of the trapezoidal area under the velocity-time graph. Overall, both methods provide a good estimate of the distance traveled by the scooter between 0 and 6 seconds.

Answer:

25/208 or 12.2%

Step-by-step explanation:

P(heart) = 13/52 = 1/4

P(red) = 26/52 = 1/2

because we are not replacing the first card drawn, the deck has 51 cards remaining

P(heart, red) = 1/4 × 25/52

= 25/208 or 12.2%

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

learn more about the statement

https://brainly.com/question/10705953

#SPJ11

a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

for such more question on integer

https://brainly.com/question/929808

#SPJ11

In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.

From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:

b² = a² + c² - 2ac Cos B

where;

b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)

b² = 2500 + 105625 - (32500 ×  (-0.4226))

b² = 108125 - (-13734.5)

b² = 121859.5

\(\mathbf{b =\sqrt{121859.5 }}\)

b = 349.08 mph

Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.

Learn more about bearing and distance here:

https://brainly.com/question/19017345?referrer=searchResults

Answer:B is the answer

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

\(\frac{x}{7}\) + 2y = 6

Multiply through by 7 to clear the fraction

x + 14y = 42 ( subtract 14y from both sides )

x = 42 - 14y

Answer:

it is b

Step-by-step explanation:

bc it is the one thing that i had right to start with