The figure below is a square. Find the length of side T in simplest radical form with a
rational denominator.

Answer:

∠e = 105° because ∠e and the 105° angle are vertically opposite angles

∠h = 75° because ∠h and the 105° angle are supplementary angles

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles

∠b = 75° because ∠b and ∠f are corresponding angles

∠a = 105° because ∠a and ∠e are corresponding angles

∠d = 75° because ∠d and ∠h are corresponding angles

Step-by-step explanation:

The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines

By sing angle properties, we have;

∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal

∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal

Similarly, we have;

∠b = ∠f = 75° because ∠b and ∠f are corresponding angles

∠a = ∠e = 105° because ∠a and ∠e are corresponding angles

∠d = ∠h = 75° because ∠d and ∠h are corresponding angles

Answer:

d. 180 ft

Step-by-step explanation:

Answer:

well that will be 180ft

Step-by-step explanation:

Answer:

it would be either a or b

Step-by-step explanation:

3/4 is 1/4 plus 1/4 1/4

but B is 1/4 plus 2/4

Answer:

m=1/2

Step-by-step explanation:

2lb---------------------------->7.96

5lb----------------------------->X

Using cross multiplication:

Answer:

I'll keep calculating for this problem. but hope this can help you. but I'll keep calculating havea good day.

Answer:

Step-by-step explanation:

4x + 5 ≤ - 4x

4x + 4x ≤ - 5

8x ≤ - 5

x ≤ - \(\frac{5}{8}\)

x ∈ ( - ∞ , - 0.625 ]

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

no idea

Step-by-step explanation:

Jk the answers square

We can use the substitution $u=x^2+9$ to find the indefinite integral of the given expression. We have:

\(∫�2�2+9��=\)\(12∫2��2+9���∫ x 2 +9​\)

\(x 2\)

​

\(dx= 21​ ∫ x 2 +9​ 2x​ xdx\)

Let $u=x^2+9$, then $\frac{du}{dx}=2x$ and $dx=\frac{du}{2x}$, so we have:

\(12∫2��2+9���=12∫1���21​ ∫ x 2 +9​ 2x​ xdx= 21​ ∫ u​ 1​ du\)

Integrating with respect to $u$, we get:

\(12∫1���=�+�=�2+9+�21​ ∫ u​ 1​ du= u​ +C= x 2 +9​ +C\)

where $C$ is a constant of integration. Therefore, the indefinite integral of $\frac{x^2}{\sqrt{x^2+9}}$ is $\sqrt{x^2+9} + C$, where $C$ is a constant.

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Answer:

4 invitations

Step-by-step explanation:

diameter = 12 cm

radius = 6 cm

total ribbon = 180 cm

EDGE of invitation (circumference)  =  2*pi*r

1 invitation = 12*pi cm of ribbon (i'll be using 3.14 as pi)

= 37.68 cm of ribbon

180/37.68 = 4.77707006369 invitation s

BUT! you can't have 0.777 of an invitation, so the most invitations she can make is 4

I hope this helped :)

Answer:

So, basically AB goes through (bisects) CAD, which CAD is the kite-like shape you see. So line AB goes through line CAD. Now what they what you to do is prove if lines AB and lines AC are equal.

The statement is False.

The range of the transformation t is the set of all possible outputs of the transformation, which is the set of all linear combinations of the columns of the matrix A.

Therefore, the range of the transformation t is a subspace of R^m that is spanned by the columns of A.

The dimension of the range of t is the rank of A, which can be at most min(m, n).

Therefore, the statement that the range of t is R^m is not necessarily true, since the dimension of R^m is m, which may be larger than the rank of A.

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Answer:

12

Step-by-step explanation:

Let Rahul's age be x now

Now:

Rahuls age = x

Rahul's father's age = 3x (given in the question)

4 years ago,

Rahul's age = x - 4

Rahul's father's age = 4*(x - 4) = 4x - 16 (given in the question)

Rahul's father's age 4 years ago = Rahul's father's age now - 4

⇒ 4x - 16 = 3x - 4

⇒ 4x - 3x = 16 - 4

⇒ x = 12

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Answer:

15 Cents each

Step-by-step explanation:

3.60 Divided by 24

Answer:

Jamie subtracted 4x from the right-side of the equation.

Step-by-step explanation:

-5x + 1 = 3 + 4x - 15

-4x             - 4x

-9x +1 = 3 - 15

Answer:

Ez *puts link epicly* B^)

Answer:

5.10

Step-by-step explanation:

The probability that the selected individual owns shares in the balanced fund is given as a percentage in the provided table. To express this probability as a decimal, we need to divide the percentage by 100.

To convert a percentage to a decimal, we divide the percentage value by 100. For example, if the percentage labeled "Balanced" in the table is 25%, we divide 25 by 100 to obtain the decimal form, which is 0.25.

By applying this conversion to the percentage given in the table, we can express the probability as a decimal. This allows us to use the decimal value in mathematical calculations or further analysis.

In summary, to express the probability that the selected individual owns shares in the balanced fund as a decimal, we divide the percentage provided in the table by 100. This conversion enables us to work with probability in decimal form for various calculations and analysis.

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Answer:      a. 8.4 meters       b. 14 wreaths

Step-by-step explanation:

The following equation shows the problem, with x representing the number of wreaths made:

12 = 9(0.4) + 0.6x

To answer a, get 0.6x alone:

12 = 9(0.4) + 0.6x

12 = 3.6 + 0.6x

8.4 = 0.6x

There were 8.4 meters available to make wreaths

To answer b, get x alone

8.4 = 0.6x

14 = x

Diego could make 14 wreaths with the available ribbon

Hope this helps!

Answer:

\(170in^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi *3^2*6=169.646\\=170in^3\)

Answer:

3:5 = 30:50 because it is ratio 3 x 10 = 30 5 x 10 = 50

The total number of hours spent on reading in a week is 14/3 hours.

For the given question-

Number of hours spent of reading = 2/3 hours.

Total number of days in a week = 7.

Total number of hours spent on reading = 2/3 x 7

Total number of hours spent on reading = 14/3

Thus, the total number of hours spent on reading in a week is 14/3 hours.

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AB ≠ I and BA ≠ I, the two matrices are not inverses of each other.

To check if two matrices are inverses of each other, we can multiply them and see if we get the identity matrix.

Let A be the first matrix and B be the second matrix. Then, the product of A and B is:

AB = 10(0) + 1(-1) 10(1) + 1(10)

(-1)(0) + 0(1) (-1)(1) + 0(10)

= -1 11

0 -1

Similarly, the product of B and A is:

BA = 0(10) + 1(-1) 0(1) + 1(10)

(-1)(0) + 10(1) (-1)(1) + 10(0)

= -1 -1

0 10

Since AB ≠ I and BA ≠ I, the two matrices are not inverses of each other.

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Answer:

30 min

Step-by-step explanation:

1 butcher can prepare 1 cows in 2 hours

2 can prepare twice as fast 2/2=1 hour

4 can prepare 4 times as fast 2 hours/4=30 min

Check work

30 min*4=120 min=2 hours

Answer:

y = (-5/9)x + 30/9

Step-by-step explanation:

To rewrite the equation 5x + 9y = 30 in slope-intercept form, we need to isolate y on one side of the equation.

5x + 9y = 30

Subtract 5x from both sides of the equation to isolate 9y:

5x - 5x + 9y = -5x + 30

9y = -5x + 30

Divide both sides of the equation by 9 to solve for y:

9y/9 = (-5x + 30)/9

y = (-5/9)x + 30/9

Answer:

The answer is C

Step-by-step explanation:

The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph C

Inequality is are expressions not separated by an equal sign

The correct graph must have a solid line and shaded below the graph. The correct inequality sign will be a greater than or equal

Given the inequality 3x + y ≤ 1

The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph C

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Answer: y = 1/4x +5

Step-by-step explanation:

3x-12y=10

Slove for y

-12y= 10-3x

Divide -12 from both sides, leaving u with

y = 10 -3x / -12

Then divide 10 -3x by -12 and then your answer will be

y = 1/4x + 5/6

Here the gradient ( m ) is 1/4

This equation is written in the form y=mx+c

So you replace your c value with the coordinates (-8,3)

y = 1/4x + 15/3

that is simplified into

y = 1/4x + 5