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3 years ago

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer:

7√3

Step-by-step explanation:

Given the following information,

Short = 7 = Opposite

Angle of elevation =30 degrees

Required

Long (Adjacent)

Using SOH CAH TOA identity

tan theta = 7/long

tan 30 = 7/long

long = 7/tan30

long= 7/1/√3

long = 7√3

Hence the long is 7√3

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If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false

Svetllana [295]

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.

4 0

3 years ago

3 1/5 less than 1, equal to 1, or greater than 1?

Contact [7]

Answer:

Greater than 1

Step-by-step explanation:

5 0

3 years ago

the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li

Burka [1]

Answer: The equation for line b is $y = -\frac{3}{4}x + 5$

The equation for line t is $y= \frac{4}{3} x+5$

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

3 0

3 years ago

If anyone could please help me with this question???I know that you can get three triangles out of the shape.

dem82 [27]

Answer:

See below.

Step-by-step explanation:

The triangles are similar because the angles marked 125 are equal and the sides either side of these angle are in the same ratio:

1.3 / 2.5 = 2.6 /5.

If we are given the length of AE we would find CF from the equation:

1.3 / 2.5 = CF / AE

CF = (1.3 * AE) / 2.5.

8 0

3 years ago

3x+5y-4=0<br> what is the slope and y-intercept?

zaharov [31]

Answer:

$3x + 5y - 4 = 0 \\ 3x + 5y = 4 \\ 5y = 4 - 3x \\ y = \frac{4}{5} - \frac{3}{5} x \\ y = mx + c \\ slope = m = \frac{ - 3}{5} \\ y \: intersept = c = \frac{4}{5} \\ thank \: you$

5 0

3 years ago