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3 years ago

Please help I need this

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

8 0

Answer:

from side a _2,4.5

from side b _-4

5,-2.

hope this will be helpful for you.

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Name three solutions to the inequality. x<7

Gnom [1K]

Answer:

x=anything less than 7

x=5

x=-2

x=-7

x= anything less than 7

Step-by-step explanation:

7 0

3 years ago

What is the area of 38cm and 47cm help please

FinnZ [79.3K]

Answer:

1786

Step-by-step explanation:

Area of a rectangle = l x b

= 38 x 47

= 1786

4 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 5x - y = -7.

BARSIC [14]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$5x-y=-7\implies 5x-y+7=0 \\\\\\ \stackrel{\stackrel{m}{\downarrow }}{5} x+7=y\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so a line perpendicular to that one above will have a slope of

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{5\implies \cfrac{5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{5}}}$

3 0

2 years ago

Determine the solution set of x2 - 80 = 0

meriva

   x² - 80 = 0
Add 80
to each side: x² = 80

Square root
each side: x    = √80

Look it up: x = + 8.944... (rounded)
   and
   x = - 8.944... (rounded).
___________________________________

Here's a cleaner solution:

   x² - 80 = 0
Add 80
to each side: x² = 80

Square root
each side: x    = √80

But 80 = 16 · 5

So √80 = √16 · √5

√16 = 4, so    x = 4 √5

8 0

3 years ago

Read 2 more answers

Victor stands 20 meters from a building that is 45 meters tall. He looks up at the roof edge of the building. What is the measur

Gwar [14]

We know that the height of the building is 45m, and the distance between the building and victor is 20m. Since the problem does not state the height of Victor, we can assume that horizontal line of sight of Victor coincides with the base of the building. This gives us a right triangle with angle x and sides 45m and 20m, as you can see in the diagram.

Now, to find the value of the angle x, we will need a trigonometric function that relates the opposite side of our angle x with the adjacent side of it; that trigonometric function is tangent. Remember that $tangent (\alpha) = \frac{oppositeside}{adjacentside}$

We know for our diagram that the opposite side of Victor's angle of inclination, x, is the height of the building (45m), and the adjacent side of it is the distance between Victor and the building (20m). Now we can replace the values in our tangent equation to get:

$tan(x)= \frac{45}{20}$

But we need to find the value of x not the value of tangent, so we are going to use the inverse function of tangent, arctangent (arctan)

$x=arctan( \frac{45}{20} )$ to solve the equation for x:

$x=66$

We can conclude that Victor's angle of inclination from he stands to the top of the building is 66°.

5 0

4 years ago