[tex]42 \times 42 \times 29 = [/tex]

17 + 2 = 19 km is 1/2 of the total length, that is, 

19 = (1/2)h

(1/2)h = 19 multiply both sides by 2

h = 2*19

h = 38 km

The total length in kilometers is 38 km.

Answer:I

Step-by-step explanation:

Answer:
12

Explanation:

The greatest common factor (GCF) is the largest factor two numbers share within their respective factor trees. In order to find the GCF, list factors of each number and then select the biggest one they have in common.

Factors of 108 are:
1, 108; 2, 54; 4, 27; 6, 18; 9, 12

Factors of 132 are:
1, 132; 2, 66; 3, 44; 4, 33; 6, 22; 11, 12

As can be observed, the largest number they have in common is 12. Therefore the GCF of 108 and 132 is 12.

Answer: 49/100 is correct

( that other answer was bothering me )

Answer:

4.7 ft.

Step-by-step explanation:

Let x represent the distance of the bottom of the ladder from the base of the house.

We have been given that Eric leans a ladder against the roof of his house so that the ladder forms a 70 angle with the ground. The roof of the house is 13 feet above the ground.

Upon looking at our attached graph we can see that ladder and wall of house forms a right triangle with respect to ground, where x is adjacent and side with 13 ft length is opposite side to the angle of 70 degrees.

We know that tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{tan}(70^{\circ})=\frac{13}{x}[/tex]

[tex]x=\frac{13}{\text{tan}(70^{\circ})}[/tex]

[tex]x=\frac{13}{2.747477419455}[/tex]

[tex]x=4.7316\approx 4.7[/tex]

Therefore, the bottom of ladder is 4.7 feet away from the base of the house.

When you must multiply non whole numbers, decimals are easier to manipulate in the sense that setting up a multiplication problem with decimals rather than fractions is much simpler and easier to calculate.

Let each of the equal small angles be x.

The sum of three small angles is 145 degrees. One of these small angles is 65  degrees.

Now let us substitute the given information in an equation.

[tex]2x+65=145[/tex]

After subtracting 65 from both sides of equation we get

[tex]2x=80[/tex]

Dividing both sides of equation with 2 we get

[tex]x=\frac{80}{2}=40[/tex]

Therefore measure of each of the remaining angles is 40 degrees.

The measure of the other two smaller angles, given that they are equal would be 40 degrees.

Let's denote the measure of the other two smaller angles as "x."

We know that the sum of the three angles should be equal to the original 145-degree angle. Therefore, we can set up the equation:

65 + x + x = 145

Simplifying the equation:

65 + 2x = 145

Next, we can isolate "x" by subtracting 65 from both sides of the equation:

2x = 145 - 65

2x = 80

Finally, we divide both sides of the equation by 2 to solve for "x":

x = 80 / 2

x = 40

So, the measure of the other two smaller angles is 40 degrees each.

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The answer to the given solution is 8.

Given that,

Based on the above information, the calculation is as follows:

[tex]f(x) = 2x^4 - 4x^3-11x^2+3x-6\\\\= 2(-2)^4 - 4(-2)^3-11(-2)^2+3(-2)-6\\\\= 2\times 16 - 4\times -8 - 11\times 4+ 3 \times -2 - 6\\\\[/tex]

= 32 + 32 - 44  - 6 - 6

= 8

Therefore we can conclude that the answer is 8

Learn more: brainly.com/question/17429689

Tan(135°) is -1 because it lies in the second quadrant with sine positive and cosine negative, whereas tan(-135°) is 1 as it falls in the third quadrant with both sine and cosine negative. Thus, tan(135°) = -1 and tan(-135°) = 1.

1.  The tangent of an angle is defined as the ratio of the sine to the cosine of that angle: tan(θ) = sin(θ) / cos(θ). The tangent function is also periodic with a period of 180 degrees, meaning tan(θ) = tan(θ + 180°).

2. First, let’s find the value of tan(135°). Since 135° is in the second quadrant where sine is positive and cosine is negative:

3. Therefore, tan(135°) = (√2/2) / (-√2/2) = -1.

4. Next, we consider tan(-135°). Since -135° is in the third quadrant where both sine and cosine are negative:

5. So, tan(-135°) = (-√2/2) / (-√2/2) = 1.

In summary, tan(135°) = -1 and tan(-135°) = 1.

There are 50 total patrons. 16 like lattes, 12 like espressos, and 8 like both drinks.

Add the two totals for patrons that like either lattes or espressos:

[tex] 16 + 12 = 28 [/tex]

8 patrons like both drinks, so subtract this from the amount of patrons that like either drink:

[tex] 28 - 8 = 20 [/tex]

20 patrons like at least one drink.

Subtract the amount of patrons that like a drink from the total amount of patrons:

[tex] 50 - 20 = \boxed{30} [/tex]

30 patrons like neither drink.

Final answer:

Tree A, which lived for 65 years (6 decades and 5 years), lived longer than Tree B, which lived for 58 years.

Explanation:

To answer which tree lived longer, we can calculate the age of both trees. Tree A lived for 6 decades and 5 years. Since one decade is equal to 10 years, 6 decades would be 6 x 10 years, which is 60 years. Adding the additional 5 years, Tree A lived for a total of 60 + 5 = 65 years.

Tree B lived for 58 years. Comparing both ages, Tree A lived for 65 years while Tree B lived for 58 years. Therefore, Tree A lived longer than Tree B.

Maria bought 8 daisies and 4 tulips in the bouquet.

Let's assume that Maria bought x daisies and y tulips. Since the total number of flowers in the bouquet is 12, we can write the equation: x + y = 12.

Also, the total cost of the bouquet is $12.52. Using the cost per flower, we can write another equation: 0.99x + 1.15y = 12.52.

Now we have a system of equations that we can solve. Multiplying the first equation by 0.99, we get 0.99x + 0.99y = 11.88. Subtracting this equation from the second equation eliminates the x term, giving us 0.16y = 0.64. Dividing both sides by 0.16, we find that y = 4.

Substituting this value back into the first equation, we can solve for x: x + 4 = 12, x = 8.

Therefore, Maria bought 8 daisies and 4 tulips in the bouquet.