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3 years ago

Help please !!! Timed *********

Mathematics

1 answer:

sertanlavr [38]3 years ago

7 0

What class is that? If I have it I can give you the answers for the assignments‼️‼️

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You are sitting at the edge of the Grand Canyon admiring the view when you notice a tour group at the bottom of the canyon. You

ololo11 [35]

Answer:

7949.13 feet

Step-by-step explanation:

We are given that,

Angle of depression from the spot to the group = 39°

Height of Grand Canyon = 5000 feet.

So, we will get the following figure of a right triangle.

<em>As, 'in a right triangle, the angles and the sides can be written in trigonometric form'.</em>

We get, $\sin A=\frac{perpendicular}{hypotenuse}$

i.e. $\sin 39=\frac{5000}{x}$

i.e. $x=\frac{5000}{\sin 39}$

i.e. $x=\frac{5000}{0.629}$

i.e. x = 7949.13 feet

Thus, the line of sight distance is 7949.13 feet.

5 0

3 years ago

Let S = {A, B, C, D} be some set of four elements of a vector space. Suppose that D = 2A + B + 3C and C = A − B. Is {A, B, D} li

Olin [163]

Answer:

As explained

Step-by-step explanation:

given that D = 2A + B + 3C and S = {A, B, C, D}, C = A − B

for {A, B, D} to be linearly dependent implies that A B and D will have values that not dependent on the sample space C.

if C = A -B is substituted in the original equation, the generated equation, 5A -2B will have values each as against C which is linearly independent.

Also, D will have values that are linearly dependent.

4 0

3 years ago

Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3

igor_vitrenko [27]

Answer:

$y=\frac{1}{2}x-7$

Step-by-step explanation:

So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.

First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

$m_1\cdot m_2=-1$

Plug -2 for one of the slopes.

$-2\cdot m_2=-1$

Divide by -2 to find the slope of our line.

$m_2=1/2$

Thus, our line needs to have a slope of 1/2.

Now, let's use the point-slope form. The point-slope form is given by:

$y-y_1=m(x-x_1)\\$

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

$y-(-4)=\frac{1}{2}(x-6)\\$

Simplify and distribute:

$y+4=\frac{1}{2} x-3$

Subtract 4 from both sides:

$y=\frac{1}{2}x-7$

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.

5 0

3 years ago

What is the measure of a straight angle?

slavikrds [6]

Answer:

180°

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is found by using the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the w

velikii [3]

Answer:

#1: 11 cm

#2: 16.5 in

#3: 2.5 feet

Step-by-step explanation:

$P=2l+2w$ Solve for width by substracting 2l on both sides to isolate 2w

$P-2l=2w$

$2w=P-2l$

Replace.

$2w=26-2(2)\\2w=26-4\\2w=22\\w=\frac{22}{2}\\ w=11cm$

----------------------------------------------------------------------------

$P=2l+2w$

$P=2(3.5)+2(4.75)\\P =7+9.5\\P=16.5in$

----------------------------------------------------------------------------

$P=2l+2w$

Solve for l

$2l=P-2w\\2l=7-2(1)\\2l=7-2\\2l=5\\l=\frac{5}{2}\\ l=2.5feet$

5 0

3 years ago