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snow_lady [41]
3 years ago
10

What is the area of a rectangle with the length of 3/4 in and a width of 6 in

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

5/6

Step-by-step explanation:

udheusjsjeihrisiw

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What is the slope of a line perpendicular to the line whose equation is 2x+3y=21. Fully simplify your answer.
erastova [34]

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

2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\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}

therefore then

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}

3 0
2 years ago
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim's head to
kupik [55]

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

4 0
3 years ago
Read 2 more answers
Help me pls i need this
arlik [135]

Answer:

96 cm²

Step-by-step explanation:

The lateral surface area (A) is the sum of the areas of the 4 slant faces.

The faces are triangular with area \frac{1}{2} bh , thus

A = 4 × \frac{1}{2} × 8 × 6 = 2 × 48 = 96 cm²

3 0
3 years ago
5 - 5x > 20. Solve the inequality
vampirchik [111]
It is x > 5. You have to add 5 to both sides then divide by 5 in each side.
4 0
3 years ago
Read 2 more answers
Determine if the ordered pair (6,4) is a solution to the inequality?
KonstantinChe [14]

Answer:

No because (6, 4) is on the line

Step-by-step explanation:

x = 6

y = 4

        1

4 > - ------- 6  + 7

        2

       6

4>  -------     + 7

        2

4 > -3 + 7

4 > 4

that is not true so the answer is no because ( 6, 4) is on the line

8 0
3 years ago
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