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Illusion [34]
3 years ago
12

What is the length of side c, given a = 10, b = 8, and c = 105°?

Mathematics
1 answer:
posledela3 years ago
5 0
We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c

Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34

C is 14.34 unit length
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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

\Rightarrow0.5\text{ lbs }- 1.5\%

\Rightarrow x+0.5\text{ lbs }- 100\%

On writing the proportion,

\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0
3 years ago
7b) A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
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Step-by-step explanation:

4 0
3 years ago
ABCD is a rhombus. Find AB. Give answer as a fraction in simplest form.<br>​
LuckyWell [14K]

Answer:

The length of AB = 97/3 units

Step-by-step explanation:

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  • The length of BC = 4x+15

We know that a rhombus is a quadrilateral whose four sides all have the same length.

Thus, the equation becomes

7x+2 = 4x+15

7x-4x = 15-2

3x = 13

x = 13/3

So, the length of CD = 7x+2 = 7(13/3)+2

                                               = 91/3 + 2

                                               =  97/3

And, the length of BC = 4x+15 = 4(13/3) + 15

                                                  = 97/3

  • We already know that a rhombus is a quadrilateral whose four sides all have the same length.

Thus, the length of AB = 97/3 units

         

5 0
3 years ago
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Elenna [48]

5 hours and 25 minutes I think (Im not sure)

8 0
2 years ago
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What's the perimeter of a rectangle who's length is 2m 10cm and width 45cm?
topjm [15]


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P = 2(210+45)

P = 2(255) cm

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Therefore, the rectangle's perimeter is 450 cm.

4 0
3 years ago
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