Triangle ABC is a right triangle, with right angle B. Side AC has a
length of 13. Side AB has a length of 5. Find the length of side
CB.

To solve for a we just have to divide both sides of the equation 4a = 32 by 4, lik this:

Then, a equals 8

Answer:  It will be 3/8.   Hope that help.

The values of the trigonometric functions are as follows.tan(t) = 1/5; cot(t) = 5cos(t) = -5/√26; sec(t) = -√26/5; csc(t) = -√26/1; sin(t) = -1/√26

Given that tan(t) = 1/5 and the terminal point of t is in quadrant III

To find the values of the other trigonometric functions of t, we need to find the other sides of the triangle, or the radius vector and use them to evaluate the trigonometric functions.

Sin(t) = y/r; Cos(t) = x/r; tan(t) = y/x; csc(t) = r/y; sec(t) = r/x; cot(t) = x/y

As tan(t) = 1/5, we can draw a right triangle with opposite side = 1 and adjacent side = 5.

This will give us the hypotenuse (r).

Now we can use the Pythagorean theorem to find the hypotenuse.

r² = 5² + 1² = 26r = √26

The terminal point is in quadrant III.

Therefore, x = -5 and y = -1

Now we can evaluate all the trigonometric functions as shown below.tan(t) = 1/5; cot(t) = 5cos(t) = -5/√26; sec(t) = -√26/5; csc(t) = -√26/1; sin(t) = -1/√26

So, the values of the trigonometric functions are as follows.tan(t) = 1/5; cot(t) = 5cos(t) = -5/√26; sec(t) = -√26/5; csc(t) = -√26/1; sin(t) = -1/√26

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Yes, the two triangles are similar because they have equal angles.

Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling.

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

The missing side of the first triangle is 180-(111+24)

= 180-135

= 45°

The Missing angle of the second triangle is 180-(45+24) = 180-79

= 111°

This means that the corresponding angle of the triangle are equal and hence they are similar.

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Yes, the triangles are similar.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Therefore, similar triangle have the corresponding angles equal to each other and the corresponding sides as a ratio of each other.

Hence, If two triangles have two of their angles equal, the triangles are similar by AA(angles angles).

Hence, let's check if two angles are equal in the triangles as follows:

180 - 111 - 24 = 45 degrees.

Therefore, the triangles are similar.

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Answer:

131 1/2 miles per gallon

Step-by-step explanation:

52 1/2 × 2 1/2 = 131 1/2

Answer:

Right. Triangles. 60. º. 60. º. 60. º. 50. º. 45. º. 85. º. Not . Right Triangles. Classify Differentiate Test. A right triangle is a TRIANGLE that HAS ONE RIGHT ANGLE  

Answer:

the answer is 38

Step-by-step explanation:

The triangle = 10 180 and 180-142 is 38

Answer:

5(x-3)

Step-by-step explanation:

The word "SUM" means the answer to an "ADDITION".

"SUM" is always used with the word "AND" to indicate which numbers are being added.

The SUM of a number AND -3 is written as:  

( x + ( − 3 ) ), or  ( x -3 )

(where we have chosen the number to be  x .)

But we want FIVE of those sums; this means:

5  ( x − 3 )

To solve a quadratic equation means to determine the values of x that are solution to such equation.

In the case of a quadratic equation you have two solutions for x.

Other two words for a solution of a quadratic equation, are roots and zeros of the equation.

The latest 2.5% of bills will be received more than 42.76 days after mailout. Rounded to the nearest integer, this is 43 days. Hence, the correct option is 43. We have the following information : Number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random variableMean = 31 daysStandard .

Deviation = 6 daysWe have to find the number of days for which the latest 2.5% of bills will be received more than. Since this is a normal distribution, we can use the z-table and the z-score formula.z = (x - mean) / standard deviationHere, we need to find the z-score for the latest 2.5% of bills. The z-score corresponding to the latest 2.5% of bills is 1.96 (as we can read from the z-table).z = (x - mean) / standard deviation1.96 = (x - 31) / 6x - 31 = 1.96 x 6x - 31 = 11.76x = 42.76So,

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The quotient is n^2+5n-5 and the remainder is 9. The solution has been obtained by using the synthetic division.

What is synthetic division?

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

We are given the expression as (n^3+3n^2-15n+19)

The expression is to be divided by (n-2)

So, by using the synthetic division, we get

2 |  1     3     -15      19    

     -     2      10     -10        

     1     5      -5       9    

Quotient =  n^2+5n-5

Remainder = 9

Hence, the quotient is n^2+5n-5 and the remainder is 9.

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(a) The covariance for X and Y i.e., Cov(X,Y) = -0.01

(b) rho for X and Y is -0.00038 (rounded to two decimal places).

To compute the covariance of X and Y, we have the following formula:

Cov(X,Y) = E[XY] - E[X]E[Y]

Where E[X] and E[Y] represent the expected values of X and Y respectively, while E[XY] represents the expected value of the product of X and Y.

Now to compute the covariance:

XY: 0(0.03) + 5(0.04) + 10(0.01) + 5(0.15) + 10(0.15) + 15(0.02) + 20(0.2) + 30(0.1) + 15(0.13) + 30(0.01) = 8.2E[X] = 0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) = 7.3E[Y] = 0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) = 10.1

So Cov(X,Y) = E[XY] - E[X]E[Y] = 8.2 - 7.3(10.1) = -0.01

Therefore, Cov(X,Y) = -0.01

To compute the correlation coefficient, we have the formula:

ρ = Cov(X,Y) / (σ_xσ_y)

Where Cov(X,Y) is the covariance, σ_x is the standard deviation of X, and σ_y is the standard deviation of Y.

To find σ_x:

σ_x = sqrt[0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) - (7.3)^2]σ_x = 4.25

To find σ_y:

σ_y = sqrt[0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) - (10.1)^2]

σ_y = 6.48

So ρ = Cov(X,Y) / (σ_xσ_y) = -0.01 / (4.25)(6.48) = -0.00038

Therefore, rho = -0.00038 (rounded to two decimal places).

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Answer:

y = a - k

Step-by-step explanation:

k = a - y

=> k + y = a

=> y = a - k

Answer:

6.2 miles

Step-by-step explanation:

10 kilometers=.62 miles

.62*10= 6.2 miles

Step-by-step explanation:

The graph is a straight line with a slope of -1/2, passing through the y-axis at 2. It intersects the x-axis at x = 4, so the domain of the function is all real numbers except x = 0.

Answer:

70

Step-by-step explanation:

Answer:

y=16x ??

Step-by-step explanation:

Answer:

=11x+5

Step-by-step explanation:

Let's simplify step-by-step.

2x+3+9x+2

Combine Like Terms:

=2x+3+9x+2

=(2x+9x)+(3+2)

=11x+5

Answer:

=11x+5

Given:

The equation of the graph is, x - y = 19.

The objective is to find the x-intercept and y-intercept of the graph.

Explanation:

At x-intercept the value of y will be zero.

In the given equation, at y = 0,

Thus, the coordinate is (19,0).

Similarly, at y-intercept the value of x will be zero.

In the given equation, at x = 0,

Thus, the coordinate is (0,-19).

Hence, the x-intercept is (19,0) and the y-intercept is (0,-19).

Answer:   If x and y vary directly, it means that their ratio remains constant. We can use this relationship to solve the problem.

Let the constant of variation be represented by k. Then we can write:

y = kx

To find k, we can use the given information that "y is 88 when x is 11":

88 = k(11)

Solving for k, we get:

k = 8

Now that we know k, we can use the formula to find y when x is 7:

y = kx

y = 8(7)

y = 56

Therefore, when x is 7, y is 56.

Step-by-step explanation:

Answer:

when x is 7, y is 56.

Step-by-step explanation:

Please mark branliest

Answer:

\(x=30\)

Step-by-step explanation:

\(5x=3x+60\)

\(-3x\)   \(-3x\)

\(2x=60\)

\(/2\)     \(/2\)

\(x=30\)

Check:

\(5(30)=3(30)+60\)

\(150=90+60\)

\(150=150\)

Hope this helps!

Answer:

https://socratic.org/questions/at-their-annual-car-wash-the-science-club-washes-30-cars-in-45-minutes-at-this-r

Step-by-step explanation:

answer is in here yw

Answer:

Yes

Step-by-step explanation:

The ratio for Danny would be 3 / 6 which simplifies to 1 / 2

For Jeff the ratio would be 2 / 4 which simplifies to 1 / 2 as well

Answer:

Step-by-step explanation:

In this world, wherever there is light – there are also shadows. As long as the concept of winners exists, there must also be losers. The selfish desire of wanting to maintain peace causes wars, and hatred is born to protect love.

Answer:

y=1/3x+4

Step-by-step explanation:

Yep

The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that has a block size of 128 bits. AES is used to encrypt sensitive data like passwords, credit card numbers, and other personal data.

Here's the answer to the question given:

Given values:

\(Plaintext = {0FOEODOCOBOA09080706050403020100}\)

\(Key = {02020202020202020202020202020202}\)

Solution:

First, we'll create a State array using the given plaintext.

State array is a 4x4 matrix.

\(State array (S) = 0F OE OD OC BO A0 90 80 70 60 50 40 30 20 10 00\)

Next, we'll apply the AddRoundKey transformation to the State array.

AddRoundKey:

In this step, the bits of the State array are XORed with the bits of the key to produce a new State array.

The AddRoundKey transformation is performed in the first round of AES and is repeated in every round thereafter.

For this example, we'll use the given key.

Key array is also a 4x4 matrix.

\(Key array (K) = 02 02 02 02 02 02 02 02 02 02 02 02 02 02 02 02\)

The State array is XORed with the Key array to produce the new State array.

\(State array (S) = 0F XOR 02 = 0D OE XOR 02 = OC OD XOR 02 = 0F OC XOR 02 = 0E A0 XOR 02 = A2 90 XOR 02 = 92 80 XOR 02 = 82 70 XOR 02 = 72 60 XOR 02 = 62 50 XOR 02 = 52 40 XOR 02 = 42 30 XOR 02 = 32 20 XOR 02 = 22 10 XOR 02 = 12 00 XOR 02 = 02\)

The value of State after initial AddRoundKey is:

\(0D OC 0F 0E A2 92 82 72 62 52 42 32 22 12 02\),

which is the output of the AddRoundKey transformation.

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A line segment can have one or more points on it. The numerical length of FG is 4

Given that:

\(FG = 3x - 5\)

\(EF = x\)

\(EG = 5x - 8\)

Because point F is on EG, then:

\(EG = EF + FG\)

So, we have:

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

\(5x - 8 = 4x - 5\)

Collect like terms

\(5x - 4x = 8 - 5\)

\(x =3\)

Recall that:

\(FG = 3x - 5\)

Substitute \(x =3\)

\(FG = 3 \times 3 - 5\)

\(FG = 9 - 5\)

\(FG = 4\)

Hence, the numerical length of FG is 4

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

-7

Step-by-step explanation:

30-16= -5n +3n

14 = -2n

multiplying both by half,u have -

7 = -n

multiply both by -1

7 = n

The equation X/y = w/z satisfies the Dividendo Theorem.

The Dividendo Theorem, also known as the Proportional Division Theorem or the Constant Ratio Theorem, is a principle in mathematics that relates to ratios. According to the theorem, if two ratios are equal, then the ratios of their corresponding parts (dividendo) are also equal.

In the given equation X/y = w/z, we have two ratios on both sides of the equation. To determine if the equation satisfies the Dividendo Theorem, we need to compare the corresponding parts.

In this case, the corresponding parts are X and w, and y and z. If X/y = w/z, then we can conclude that the ratios of their corresponding parts are equal.

To understand why this is true, consider the concept of ratios. A ratio expresses the relationship between two quantities. When two ratios are equal, it means that the relationship between the corresponding quantities in each ratio is the same. In other words, the relative size or proportion of the quantities remains constant.

By applying the Dividendo Theorem to the equation X/y = w/z, we can determine that the ratios of X to y and w to z are equal. This implies that the relative sizes or proportions of X and y are the same as those of w and z.

Therefore, we can confidently say that the equation X/y = w/z satisfies the Dividendo Theorem.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.