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Roman55 [17]
3 years ago
11

ANSWER QUICK!! NO LINKS!!

Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

the answer is 32 cups of water  and 12 cups drink mix.

Step-by-step explanation:

   

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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
If a pound of bread is worth 1.75 and a orange is worth 0.50 per pound. How many pounds of oranges have an equivalent cost to 3
Alexus [3.1K]

Answer:

  C.  10.5 pounds

Step-by-step explanation:

The worth of 3 loaves of bread is 3 times that of one loaf:

  3 × 1.75 = 5.25

You want the number of pounds of oranges (p) at 0.50 per pound that has this same worth:

  0.50p = 5.25

  p = 5.25/0.50 = 10.50

10.5 pounds of oranges have an equivalent cost to 3 loaves of bread.

5 0
3 years ago
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