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NNADVOKAT [17]
3 years ago
7

Solve for x. −12x+13>35 Drag and drop a number or symbol into each box to correctly complete the solution.

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

x < -11/6.

Step-by-step explanation:

−12x + 13 > 35

-12x > 35 - 13

-12x > 22

Divide both sides by -12 and invert the inequality sign:

x < -22/12

x < -11/6.

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In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Goshia [24]

Step-by-step explanation:

✰ \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :

  • AD = 15 , AB = 8 , \angle DAB

✰ \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :

  • Height & Area of the given parallelogram

✰ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :

In right angled triangle ABE :

  • Hypotenuse ( h ) = 8
  • Perpendicular ( p ) = h [ height ]
  • \theta = 20°

Now , Using trigonometric ratio :

\large{ \tt{Sin \theta \:  = \:  \frac{Perpendicular}{Hypotenuse}  }}

Plug the known values :

⟶ \large{ \tt{ Sin(20)  =  \frac{h}{8} }}

⟶ \large{ \tt{0.34 =  \frac{h}{8}}}

⟶ \large{ \tt{h = 0.34 \times 8}}

⟶ \large{ \tt{h = 2.72}}

Now , We have :

  • Base ( b ) = 15
  • Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ \underline{ \underline{ \text{Area \: of \: parallelogram =  \tt{b   *\:  h}}}}

⟶ \large{ \tt{A = 15  *2.72}}

⟶ \large{ \tt{A = 40.8 \:  {units}^{2} }}

Hence , Our final answer :

\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}

\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \:  {units}^{2} }}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{Carry \: On \: Learning}} !! ✎

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3 0
3 years ago
Number 10Please just show the math and not the sentence explanations, I just want to use this problem as an example :)
Morgarella [4.7K]

Explanation

We are given the following right-angled triangle:

We are required to determine the indicated angle in the given figure.

This is achieved thus:

According to the image, we have:

\begin{gathered} Opposite=9 \\ Adjacent=21 \end{gathered}

Therefore, we have:

\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ \tan\theta=\frac{9}{21} \\ \theta=\tan^{-1}(\frac{9}{21}) \\ \theta\approx23\degree \end{gathered}

Hence, the answer is:

23\degree

4 0
1 year ago
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Answer:

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Step-by-step explanation:

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Dividing throughout by -4 we get;

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Answer:

3 h(x) = 4 sin(2x + π) + 3

Step-by-step explanation:

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16 blue marbles or 4 red marbles

(16+4)/51= 20/51
8 0
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