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Sindrei [870]
3 years ago
5

If a°, 30° and 2a° are the angle of triangle find a°​

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

a=50

Step-by-step explanation:

a + 2a + 30 = 180

3a + 30 = 180

(-150 from both sides)

3a = 150

(Divide by 3 from both sides)

a = 50

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The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

3 0
2 years ago
7 is one tenth of what number
Sloan [31]

<u><em>Answer:</em></u>

70


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

one tenth is interpreted into \frac{1}{10}


Now, we know that one tenth of the number is 7, this means that:

\frac{1}{10} * x = 7


Solve for x by multiplying both sides of the equation by 10, we get:

\frac{1}{10} * x * 10 = 7 * 10

x = 70


Hope this helps :)

5 0
3 years ago
Read 2 more answers
Y=2x^2+12x+14 in vertex form
balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

4 0
3 years ago
Look at the figure below:
8_murik_8 [283]

Answer:

The third one is the answer

Building B; it is around 16.35 feet taller than building A

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

cos y° = 6 divided by b cos y° = 6a cos

If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?

24 units

3 0
3 years ago
Read 2 more answers
I need help ASAP please. It's a contest
igor_vitrenko [27]

Answer:

3.25

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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