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3 years ago

14

In a right triangle the acute measure x+15and2x degrees. What is the measure of the larger acute angle of the triangle

1 answer:

denpristay [2]3 years ago

7 0

All 3 angles need to equal 180 degrees
the right angle = 90 degrees
so the other 2 angles need to equal 180 - 90 = 90 degrees

so now you have x +15 + 2x =90

combine like terms 3x +15 = 90

subtract 15 from each side: 3x = 75

divide each side by 3: x = 75/3 = 25

x = 25
x+15 = 25+15 = 40
2x = 2*25 = 50
the larger angle is 50 degrees

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The largest side of a triangle is six more units than the smallest side. The third side is twice the smallest side. If the perim

svetlana [45]

Equation: x + x + 6 = 2x = 25
smallest side is    4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is   2(4.75)= 9.5 units

smallest side is    x
largest size is x + 6
3rd side is 2x
-----------------------------------
4x + 6 = 25
-6 -6
<u>4x</u> = <span><u>19</u>
</span> 4 4

x = 4.75 is the smallest side

smallest side is    4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is   2(4.75)= 9.5 units

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2 years ago

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kow [346]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

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3 years ago

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How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?

Marta_Voda [28]

Answer: $45.03\ ft$

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is $\theta =30^{\circ}$

Suppose the height of the building is $h$

From the figure, we can write

$\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft$

The height of the building is 45.03 ft

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2 years ago

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Oduvanchick [21]

Answer:

138.3ft^3

Step-by-step explanation:

Volume for cylinders : V = pi*r^2*h

Volume for cones : V = pi*r^2*(h/3)

Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.

Volume for cylinder is about 125.7ft^3

Volume for cone is about 12.6ft^3

Then just add them together for a total of 138.3ft^3

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3 years ago

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Sergio [31]

Given:

The function is:

$f(x)=6x-3$

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

$f(x)=6x-3$

Step 1: Substitute $f(x)=y$ .

$y=6x-3$

Step 2: Interchange x and y.

$x=6y-3$

Step 3: Isolate variable y.

$x+3=6y$

$\dfrac{x+3}{6}=y$

Step 4: Substitute $y=g(x)$ .

$\dfrac{x+3}{6}=g(x)$

Therefore, the inverse of the given function is $g(x)=\dfrac{x+3}{6}$ and the graphs of these functions are shown below.

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2 years ago