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amm1812
3 years ago
12

Can someone help me with this problem?

Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0
First, simplify the signs:

= - \frac{1}{2} + \frac{2}{3} - 1\frac{1}{6}

Now change the mixed numeral into a fraction:

= - \frac{1}{2} + \frac{2}{3} - \frac{7}{6}

Now change all fractions to the common denominator, 6:

= - \frac{3}{6} + \frac{4}{6} - \frac{7}{6}

Now combine the fractions together:

[tex]=  -\frac{6}{6}

-1
Deffense [45]3 years ago
4 0
The answer is -1.

First, distribute the negative inside the parenthesis of 1/2.
Next, turn all the denominators into 6 by multiplying by 3 or 2. 

-1/2 + 2/3 + -1 1/6 
Changes to -3/6 + 4/6 - 1 1/6 

-3/6 + 4/6 = 1/6 

1/6 - 1 1/6 = -1


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An engineer stands 200 feet from a tower and sights the top of the tower at a 45° angle of elevation. Find the height of the tow
Alik [6]
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite. 
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
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tan(45)= x/200
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6 0
3 years ago
The formula for the volume of a cone is V = jarh, where V is the volume, r is the radius, and h Is the heightWhat is the volume
olga nikolaevna [1]

Given:

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The height,

h=21xy^2

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V=\frac{1}{3}\pi r^2h

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\begin{gathered} V=\frac{1}{3}\pi\times(4x)^2\times21xy^2 \\ =\frac{1}{3}\pi\times16x^2\times21xy^2 \\ =\pi\times16x^2\times7xy^2 \\ =112\pi x^3y^2 \end{gathered}

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Thus, the correct option is option D.

7 0
1 year ago
Las edades de cuatro hermanos forman una progresión aritmética, y su suma es 32 años. El mayor tiene 6 años más que el menor. Ha
Masteriza [31]

Answer:

The ages of the four siblings are: 5, 7, 9 and 11 years old.

Step-by-step explanation:

The computation of the age of the four siblings is shown below:

Given that

n = 4

a1 =? a2 =? a3 =? a4 =?

a4 = a1 + 6 years

S4 = 32

Based on the above information

As we know that

Sn = (a1 + a4) ×  n ÷ 2

S4 = (a1 + a4) × 4 ÷ 2

32 = (a1 + a1 +6) × 2

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 a1 = 10 ÷ 2

= 5

So,  a4 = a1 +6

= 5 +6

= 11

a4 = a1 + (4-1) × d

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So,

a2 = a1 + d

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8 0
3 years ago
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ANEK [815]

Answer:

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Step-by-step explanation:

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