Can you please help me solve this? It is for HW

The value of ∠T is 38.722° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".

An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.

Here,

Side t = 82

Side u = 128.98238

Side v = 86

Angle ∠T = 38.722°

Angle ∠U = 100.278°

Angle ∠V = 41°

∠T = sin⁻¹(t·sin(V)/v)

=38.722°

Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠T is 38.722°.

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Answer:

3 degrees

Explanation:

Using the theorem that states that the measure of the angle at the circumference is equal to the half of its intercepted arc. Hence;

31x+ 3 = 1/2(192)

31x + 3 = 96

Subtract 3 from both sides

31x + 3 - 3 = 96 - 3

31x = 93

Divide both sides by 31

31x/31 = 93/31

x = 3

Hence the value of x is 3 degrees

The number 14.235 would round down to 14.2

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to round  14.235 to the nearest tenth, hundredth, one and ten

We can see that the 35 is below 50 so it goes down, and it rounds down to 14.2 instead of, 14.62 then that would round up to the decimal is higher than 50.

Since it is 235, then it rounds down to 14.2

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Given:

There is a equation of circle given in the question as below

Required:

We want to find the center and radius of given circle

Explanation:

The general equation of circle is

where (h,k) is the center of circle and r be the radius of circle

Now by comparing we get

Final answer:

C

ANSWER

B. False

EXPLANATION

The Pythagorean Theorem states that the sum of the squares of the two legs of a right triangle, a and b, is equal to the square of the hypotenuse, c:

And this theorem is true for all right triangles.

Hence, this statement is false.

we have the equation

To remove the fractions, multiply both sides by (4*3=12)

this is the equation of a line

that means

is a linear equation

b)

Given:

Hence,

So, the measurements in the data between 8.08 and 12.32 are 11, 9, 12, 10 12, 12 , 12, 9, 9, 9, 11, 11, 12 and 11.

Therefore, the number of measurements in interval x±s is 14.

The percentage of the measurements that fall between the interval x±s is,

Therefore, the percentage of the measurements that fall between the interval x±s is 70%.

Now,

So, all the measurements in the data are between 5.96 and 14.44.Therefore, the number of measurements in interval x±2s is 20.

Therefore, the percentage of the measurements that fall between the interval x±2s is 100%.

Now,

So, all the measurements in the data are between 3.84 and 16.56.Therefore, the number of measurements in interval x±3s is 20.

Therefore, the percentage of the measurements that fall between the interval x±3s is 100%.

Last part: compare the percentage .

According to empirical rule, approximately 68% of the measurements in a sample will fall within the interval x±s.

From part b, the obtained percentage of measurements that fall within the interval x±s is 70%.

Therefore, percentage of measurements that fall within the interval x±s is greater than the predicted percentage for x±s using the empirical rule.

Option C is correct.

Explanation

First of, you should know that integers are whole numbers.

There are positive integers (positive whole numbers, that is, normal whole numbers greater than 0, for example, 7, 98, 14 etc.) and there are negative integers (negative whole numbers, that is, whole numbers less than 0, for example, -3, -37, -101 etc.)

So, the first tip about adding and subtracting these numbers is to look at them in monetary terms.

Always look at positive numbers like money you have in your pockets (cash at hand).

And look at negative numbers like money you're owing someone.

So, we can then go through the different types of addition and subtraction of integers now.

- Addition of two positive numbers

** 2 + 2

You can interprete this simple addition as having $2 and another $2 is given to you, this means you've got $4 now.

2 + 2 = 4

** 17 + 7

You can interprete this simple addition as having $17 and another $7 is given to you, this means you've got $24 now.

17 + 7 = 24

- Subtraction of two positive integers

** 7 - 3

Look at this like having $7, then -3 means $3 is taken away from it, then you've got only $4 left.

7 - 3 = 4

** -15 + 10

This means you're owing $15, and you've got only $10, after paying the $10, there's still a debt of $5 left. So,

-15 + 10 = -5

Before the next two further types of adding/subtracting integers, weneed to also note the following

(+) × (+) = (+)

(+) × (-) = (-)

(-) × (+) = (-)

(-) × (-) = (+)

These helps us to simplify these additions and subtractions that involve a mix of positve numbers and negative numbers or just strictly working with negative numbers.

Addition of two negative numbers

** -5 + (-3)

Normally, with the former approach, this just means a debt of $5 is added to a debt of $3, these come together to give a bigger debt of $8.

But we can simplify the given equation further because we know that

(+) × (-) = (-), So,

-5 + (-3) = -5 - 3 (The plus sign before the -3 and the minus sign in the bracket multiply to give a negative/minus sign).

So,

-5 + (-3) = -5 -3 = -8

** -7 + (-4)

-7 + (-4) = -7 - 4 = -11

Subtraction of two negative integers

** -5 - (-5)

Recall that

(-) × (-) = (+), So,

-5 - (-5) = -5 + 5

Which then translates to owing $

Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be [tex]1800(1.6)=\$ 2880[/tex].

Thus, each ticket must sell for [tex]\frac{2880}{5000}=\$ 0.576[/tex]

$0.576 should be charged so there is a 60% profit per ticket.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The prizes are $1000, $500, $200, and $100.

So, total prize = 1000+ 500+ 200+ 100 = $1800.

The, the price of ticket to break

= 1800 / 5000

= $0.36

Now, the price for 60% ticket = 0.36 (1 + 0.6)

                                                 = 0.36 x 1.6

                                                 = $0.576

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Given equation of line is,

If one object costs $x then p objects will cost $px.

Given data:

It is given that they spend $250 on decorations and $12 per person for dinner.

Now the cost $250 is fixed.

Now, if cost od dinner for one person is $12.

So the cost of dinner for p persons will be $12p

Therefore, total cost 't' will be

All numbers in scientific notation or standard form are written in the form

where m is a number between 1 and 10 and the exponent n is a positive or negative integer.

To convert 64500 into scientific notation, follow these steps:

1. Move the decimal 4 times to left in the number so that the resulting number, m = 6.45, is greater than or equal to 1 but less than 10

2. Since we moved the decimal to the left the exponent n is positive

n = 4

3. Write in the scientific notation form, m × 10^n

= 6.45 × 10^4

Given: Parallel lines PQ and RS. Triangle ABD and BDC are such that

Required: To determine the triangle ABD type and calculate the angle BDC, ABD, and angle BAD.

Explanation: Since line PQ is parallel to line RS,

Now since BD=CD, triangle BCD is an isosceles triangle. Hence,

Now, in triangle BCD, we have

Now RS is a straight line. Hence at point B, we have

Finally, in triangle ABD, we have

Now since in triangle ABD, we have

The triangle ABD is isosceles.

Final Answer:

The triangle ABD is isosceles.

The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)

Explanation:

The first thing we do is to write the vertices of the original shape:

A = (-2, 2)

B = (2, 5)

C = (6, 3)

D = (4, -3)

A rotation of (x, y) 180° clockwise about the origin = (-x, -y)

We take the negative of the x and y coordinates of the original shape

180° clockwise about the origin becomes:

A' = (-(-2), -2) = (2, -2)

B' = (-2, -5)

C' = (-6, -3)

D' = (-4, -(-3)) = (-4, 3)

The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)

From the given figure

Since every two opposite sides are parallel

AB // DC

AD // BC

Then the given quadrilateral is a parallelogram

ABCD is a parallelogram

From the properties of the parallelogram,

Every 2 opposite sides are equal in length, then

AB = DC

AB = x + 2, and DC = 13, then

x + 2 = 13

Subtract 2 from both sides to find x

x + 2 - 2 = 13 - 2

x = 11

Since the opposite angles in the parallelogram are equal in measures

Since

m

Since m

y = 70

The value of x is 11 and the value of y is 70

General equation of a parabola:

Equation of the axis of symmetry:

x = h

In this case, the axis of symmetry is x = 2, then h = 2.

Equation of the directrix:

y = k - p

In this case, the equation of the directrix is y = -9/4, then:

-9/4 = k - p (eq. 1)

Equation of the focus:

F(h, k+p)

In this case, the coordinates of the focus are (2,-7/4), then:

-7/4 = k + p (eq. 2)

Adding equation 1 to equation 2:

-9/4 = k - p

+

-7/4 = k + p

--------------------

-4 = 2k

(-4)/2 = k

-2 = k

Substituting this result into equation 2 and solving for p:

-7/4 = -2 + p

-7/4 + 2 = p

1/4 = p

Substituting with h = 2, k = -2, and p = 1/4 into the general equation, we get:

Given the equation of an elipse

from the question,

Given that

Substitute, for a,b, and x in the elipse formula to find y

Multiply through by 169

Hence, it clear the arch because the height of the archway of the bridge 7 feet from the center is approximatelyfeet

For the given shapes, we will draw a sketch

a) A cone

the sketch of the cone will be as follows:

The cone has a circular base of radius = r, and a height of (h) and has a flat surface and curved surface as shown.

b) The diameter of the circle:

The diameter is a line segment (d) that connects two points lying on the circle through the center of the circle

c) The radius of the circle:

The radius of the circle (r) is a line segment that connects the center of the circle and any point lying on the circle

Identity equations are always true, no matter the values that the variables take.

We have to calculate for each one, and if the result gives a true statement, then the equation is an identity:

1) 3(x - 1) = x + 2(x + 1) + 1

This is FALSE (for any value of x), so the equation is not an identity.

2) x-4(x + 1) = -3(x + 1) + 1

This is FALSE, so the equation is not an identity.

3) 2x + 3 = 1 (4x + 2) + 2

This equation holds true only for x=-1/12, so it is not an identity.

4) (6x - 3) = 3(x + 1) – x-2



This equation holds true only for x=1, so it is not an identity.

Neither of the options is an identity.

Let x=

1) Gathering the data

Ginny

Best pumpkin: 22 pounds

The growing rate of 2.5 pounds per week

Martha

Best pumpkin: 10 pounds

The growing rate: 4 pounds per week

Let x for the growing rate and y for the weight

2) Setting equations

Ginny's equation

2.5x=22

Martha's equation: ​

4x=10

In transformations, the Pre-Image is the original figure and the Image is the figure transformated.

In this case you can identify that the Pre-Image is the triangle ABC and the Image is the triangle A'B'C'.

Notice that the vertices of ABC are:

By definition, when the scale factor used in the dilation is between 0 and 1, the Image obtained is a reduction and, therefore, it is smaller than the Pre-Image. Since A'B'C' is smaller than ABC, then you can determine that ABC was dilated by this scale factor:

When a figure is reflected across the y-axis, the rule is:

If you dilate ABC by the scale factor shown above, and then you reflect it across the y-axis, the coordinates of the Image will be:

Notice that the coordinates of A'B'C' shown in the picture match with the vertices found above.

Therefore, the answer is: Option C.

Slope point formula:

y-y1= m (x-x1)

Where:

m= slope

(y1,x1) = point of the line

For:

y - 2 = 2/3 (x + 3)

m= 2/3

y1= 2

x1= -3

The error is that the point is not (3,2) is (-3,2)

y-2 = 2/3 (x-(-3))

y-2 = 2/3 (x+3)

Question:

Solution:

If we have the formula:

It is given that the distance is 6 miles and the time is 2 hours upstream and one and a quarter hour downstream.

The time downstream is given by:

Since the distance is constant, it follows:

So the distance is constant hence:

Let the speed of kayak be x and speed of current be y so the speed downstream is x+y and speed upstream is x-y so it follows:

Use the individual equation to find x and y as follows:

Hence the speed of the water current is 9/10 miles per hour.

The speed of the kayak is given by:

Hence the speed of the kayak without the water current is 3.9 miles per hour.

The time required without water current is:

Hence it will take approximately 1.5 hours without the current.

The given equation is

First, we subtract 0.6 on each side

Given:

Required:

To solve the given expression.

Explanation:

Consider

Final Answer:

ANSWER:

3rd option: 9 yards

STEP-BY-STEP EXPLANATION:

Given that:

Length = L

Width = W = 4L - 3

The perimeter is the sum of all the sides, therefore:

So the correct answer is 3rd option: 9 yards

Writing the slope-intercept form of a linear equation, we have:

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

So our equation is:

y = 2/3x - 4