6 yd
8 yd
C=?
What’s the hypotenuse?

The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

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The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

Answer:

\(x=7,\\y=6\)

Step-by-step explanation:

The segment \(UV\)consists of \(UZ\) and \(VZ\). Therefore, we can write the following equation:

\(3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}\).

Since \(UV\) bisects \(TW\), \(TZ\cong WZ\).

Therefore,

\(3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}\)

Answer:

k=-13

Step-by-step explanation:

-2 = k+7/3

Multiply 3 to both sides.

-2 = k+7/3

-6=k+7

Subtract 7 from both sides.

-13=k

k equal -13.

Hope this helps!

Please mark as brainliest if correct!

Answer:

Step-by-step explanation:

−2=k+7/3

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

k+7/3=−2

k+7/3−7/3    =   −2−7/3

k=    −13/3

Answer:

x = 29

Step-by-step explanation:

The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.

2x - 10 + 4x + 16 = 180

6x + 6 = 180

6x = 174

x = 29

The annual maintenance collected in 2014 will be $1,750,000.

To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.

Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000

Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000

So, the total annual maintenance collected in 2014 will be:

$1,600,000 + $1,500,000*10% = $1,750,000

Therefore, the annual maintenance collected in 2014 will be $1,750,000.

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In the given angle JIH, vertex is I and sides are IJ and IH.

From the given angle JIH.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Here, vertex is I.

Sides of the given angle are IJ and IH.

Therefore, option A is the correct answer.

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Answer:

J':  (3, 6)

K':  (3, 4)

L':  (0, 4)

Step-by-step explanation:

When we translate a point 4 units right, the x-coordinate of the point increases by 4 units, the y-coordinate remains the same

When a point is translated 3 units down, the y coordinate increases by 3 units, the x-coordinate remains the same

When you translate by 4 units right and 3 units down both x and y coordinates increase by 4 and 3 respectively

So when we apply this translation to the triangle, every point on that triangle, (x, y) changes to (x + 4, y + 3)

If we take the vertices of the triangle we see that the 3 vertices are
J(-1, 3)   K(-1, 1) and L(-4, 1)

After applying the translation:
J(-1, 3) ==> J'(-1 + 4, 3 + 3) ==> J'(3, 6)

K(-1, 1) ==> K'(-1 + 4, 1 + 3) ==> K'(3, 4)

L(-4, 1)  ==> L'(-4 + 4, 1 + 3) ==> L'(0, 4)

The number of hours used is 3.93 hours

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

Rate = $14 per hour

Amount = $55

Using the above as a guide, we have the following:

Time = Amount/Rate

Substitute the known values in the above equation, so, we have the following representation

Time = 55/14

Evaluate

Time = 3.93

Hence, the time is 3.93 hours

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The distance from point A to point B is approximately 926.4 feet.

An angle is a measure of the amount of rotation between two lines, rays, or line segments that share a common endpoint, called the vertex. It is typically measured in degrees or radians.

Let's call the distance between point A and the lighthouse "x" and the distance between point B and the lighthouse "y". We want to find the value of "y".

From point A, the crew measures the angle of elevation to the lighthouse to be 6. This means that the angle formed between the horizontal line passing through point A and the line connecting point A to the top of the lighthouse is 6. We can draw a right triangle ABC where point A is the bottom left corner, point B is the bottom right corner, and point C is the top of the lighthouse. The line segment AC represents the height of the lighthouse (111 feet) and the line segment AB represents the distance between point A and the lighthouse (x).

Using trigonometry, we know that:

tan(6) = AC/AB

tan(6) = 111/x

x = 111/tan(6)

Now, from point B, the crew measures the angle of elevation to the lighthouse to be 13. This means that the angle formed between the horizontal line passing through point B and the line connecting point B to the top of the lighthouse is 13. We can draw a right triangle BCD where point B is the bottom left corner, point C is the top of the lighthouse (the same point as in the previous triangle), and point D is the bottom right corner. The line segment CD represents the height of the lighthouse (111 feet) and the line segment BD represents the distance between point B and the lighthouse (y).

Using trigonometry, we know that:

tan(13) = CD/BD

tan(13) = 111/y

y = 111/tan(13)

Therefore, the distance between point A and point B is:

y - x = 111/tan(13) - 111/tan(6)

Using a calculator, we get:

y - x ≈ 926.4 feet

Rounding to the nearest tenth of a foot, the distance from point A to point B is approximately 926.4 feet.

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The boolean functions implemented at the outputs f and g are XOR and AND. If a and b are interpreted as two-bit binary words, then the output g can be interpreted as the bitwise AND operation between the two words, i.e. g=a(1)b(1)a(0)b(0).

Boolean functions are mathematical functions that map an input to a binary output. In this way, they can be used to represent logical statements.

Boolean functions are typically used in computer programming and mathematics to represent logical operations such as AND, OR, and NOT. Boolean functions are also used in digital logic designs and in the design of digital circuits.

XOR (Exclusive OR) and AND are two logical operations that are used to compare two bits of data. XOR returns a true result if one, but not both, of the bits is true. AND returns a true result if both of the bits are true.

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Consider that the area of a sector of a circle is given by:

where θ is the angle of the sector and r is the radius.

For θ=40 and r = 8cm, you obtain:

The area of the small sector is about 22.34 cm^2.

Now, for θ=320 and r = 8cm, you obtain:

The area of the small sector is about 178.72 cm^2.

Answer:

7.5e-5

Step-by-step explanation:

To find the Taylor polynomial T3(x) for the function f(x) = ex sinx at a = 0, we can use the Taylor series expansion. The Taylor polynomial of degree 3 is given by:

\(T3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3\)

First, let's find the derivatives of f(x):

f(x) = ex sinx

f'(x) = ex cosx + ex sinx

f''(x) = 2ex cosx

f'''(x) = 2ex cosx - 2ex sinx

Evaluate the derivatives at x = 0:

\(f(0) = e^0 sin(0) = 0\\f'(0) = e^0 cos(0) + e^0 sin(0) = 1\\f''(0) = 2e^0 cos(0) = 2\\f'''(0) = 2e^0 cos(0) - 2e^0 sin(0) = 2\)

Now, substitute these values into the Taylor polynomial formula:

\(T3(x) = 0 + 1x + (2/2!)x^2 + (2/3!)x^3\)

Simplifying:

\(T3(x) = x + x^2 + (1/3)x^3\)

Now, let's evaluate the limit:

\(lim(x- > 0) (e^x sinx / x^3)\)

We can use the Taylor polynomial T3(x) to approximate the function \(e^x sinx\)  as x approaches 0.

The term \(e^x sinx\) can be approximated as x when x is close to 0. Thus, as x approaches 0, the limit becomes:

\(lim(x- > 0) (x / x^3) = lim(x- > 0) (1 / x^2)\)

However, the limit of \(1 / x^2\)as x approaches 0 is infinity.

Therefore, the limit is infinity.

Please note that this is an approximation using the Taylor polynomial, and the actual behavior of the function may differ.

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Part A

I'm assuming you want the area of a circle with radius 17 yards.

We'll use the formula below

A = pi*r^2

A = (22/7)*17^2

A = (22*17^2)/7

A = 6358/7

A = 908  2/7

The sprinkler covers an area of about 908  2/7 square yards.

You'll type 908 in the left-most box

Then for the other two boxes, you'll have 2 up top and 7 down below to represent the fraction 2/7

The number 908  2/7 is a mixed number.

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

Part B

You mentioned that the radius reduces to 11 yards here. We'll use the same formula as above and pi = 22/7 approximately

A = pi*r^2

A = (22/7)*11^2

A = (22*11^2)/7

A = 2662/7

A = 380  2/7

The sprinklers can water an area of about  380  2/7  square yards.

This value is also a mixed number

380 is the value in the left most box (it's the whole part)

The other two boxes are filled out the same exact way as the previous part above.

Answer:

I'm pretty sure it's D

Step-by-step explanation:

I could be wrong tho

Answer:

y=1 x=5

Step-by-step explanation:

from the second equation

x=5y

then,when we substitute the equation

4(5y)+3y=23

20y+3y=23

23y=23

y=1

if and only if,x=5y and y=1

then x=5

Answer:

\(a_{n}\) = 1 + (n-1)84

Step-by-step explanation:

to solve a sequence there's a formula-

\(a_{1}\)+(n-1)d

where a1 is the first term, and d is the common difference

since we know the first term, and we have a few subsequent terms we can solve for d and creat the general formula for the nth term

to find d we simply check the difference between two terms-

168-x = 84

168-84 = x

84 = x

we can confirm this by checking the next two even

252- x = 168

252 - 168 = x

84 = x

now we have enough for a general formula

\(a_{n}\) = 1 + (n-1)84

4. We start with the base case of \(5^0 = 1\) and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. if a divides \(b\) and \(b\) divides \(a\), either a equals \(b\) or \(a\) equals negative \(b\).

4. The recursive definition of the set of positive integer powers of 5 can be expressed as follows:

Base case: \(5^0 = 1\) is in the set.

Recursive step: If n is in the set, then \(5^(n+1)\) is also in the set.

Using this definition, we start with the base case of \(5^0 = 1\)and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. To prove that if a divides \(b\) and \(b\)divides \(a\), then a equals \(b\) or \(a\) equals negative \(b\), we can use the definition of divisibility.

Assume that \(a\) divides \(b\), denoted as \(a | b\) , and \(b\) divides \(a\), denoted as \(b | a.\)

By definition, if a divides b, there exists an integer k such that b = ak.

Similarly, if \(b\) divides \(a\), there exists an integer m such that \(a = bm.\)

Substituting the expression for\(b\) in terms of \(a\), we have \(bm = ak.\)

Dividing both sides by b (since b is nonzero), we get m = a/b.

Since \(m\) is an integer, \(a/b\) must be an integer, which means \(a\) is divisible by \(b\).

If \(a/b\)  is an integer, it implies that \(b/a\)is also an integer, which means \(b\) is divisible by \(a\).

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), it follows that \(a/b\) and \(b/a\) are both integers.

If \(a/b = m\) and \(b/a = k\), then we have \(a = bm\) and\(b = ak.\)

\(If m = k = 1, then $a = b.\)

\(If m = k = -1, then a = -b.\)

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), either \(a\) equals \(b\) or \(a\) equals negative \(b\).

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The number of rows = 10The first row has 1 box.The second row has 3 boxes.The third row has 5 boxes...There is an arithmetic progression of boxes in each row of the display.

The common difference (d) between the number of boxes in each row is 2.Find:The total number of gift boxes in the display.

This is an arithmetic progression problem. We are supposed to find the sum of terms in the given series.Sum of the first n terms of an arithmetic progression is given by:

S_n = (n/2)[2a + (n-1)d]

Where: S_n = Sum of n term sa = first term of the arithmetic progression d = common difference of the arithmetic progressionn = number of terms in the arithmetic progression

We can use the given information to find a and d:a = 1 (number of boxes in the first row)d = 2 (the difference in the number of boxes in successive rows)S_n = (n/2)[2a + (n-1)d]

Substituting the given values:S_10 = (10/2)[2(1) + (10-1)2]S_10 = 5[2 + 18]S_10 = 100The total number of gift boxes in the display is 100.

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Answer:

I found a picture of a male human body diagram and a woman human body diagram. I attached both of the pictures to this answer because I am not sure which one you wanted.

Step-by-step explanation:

1. I searched up human body diagram

2. I found a male one and a female one

3. I attach them both to this answer

4. Voila here is my answer

Answer:

105 \(cm^{2}\)

Step-by-step explanation:

I hope this helps!

Answer:

B- 105 cm

Step-by-step explanation:

Answer:

\(5\sqrt{3}\) or 8.66

Step-by-step explanation:

use tan:

tan = \(\frac{opposite}{adjacent}\)

⇒ tan 60 = \(\frac{x}{5}\)

tan of 60 is 1.73

⇒ 1.732 = \(\frac{x}{5}\)

multiply 5 on both sides

⇒ 1.732 x 5 = \(\frac{x}{5}\) x 5

⇒ 8.66

Answer:

\(\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}\)

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

\(tan \theta= \frac {opposite}{adjacent}\)

\(tan60=\frac {x}{5}\)

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

\(5(tan60)=\frac {x}{5} *5\)

\(5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x\)

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

\(8.66 \approx x\)

x is about 8.66 or 5√3, which is choice D.

Answer:

where is the equation? And I will help.

Step-by-step explanation:

Answer:

i cant answer if there is no problome

Step-by-step explanation:

Equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of n is -4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As the equation is given to us, therefore, the value of the n can be found as,

\(3n+2(n+2)=9n+12\\\\3n+4n+4=9n+12\\\\7n-9n=12-4\\\\-2n = 8\\\\n =\dfrac{8}{-2}\\\\n=-4\)

Hence, the value of n is -4.

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Answer:

u ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ TUV, that is

\(\frac{t}{sinT}\) = \(\frac{u}{sinU}\) , substitute values

\(\frac{2.5}{sin26}\) = \(\frac{u}{sin85}\) ( cross- multiply )

u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )

u = \(\frac{2.5sin85}{sin26}\) ≈ 5.7 ( to 1 dec. place )

Answer:

<R = 26degrees

Step-by-step explanation:

Making <R as the reference angle

Adjacent side = 12.7

Hypotenuse = 14.1

Cos <R = adj/hyp

Cos <R = 12.7/14.1

Cos <R = 0.9007

<R = arccos(0.9007)

<R =25.7

<R = 26degrees

Answer:

A. 26°

Step-by-step explanation:

I took it on EDG