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Misha Larkins [42]
3 years ago
13

Please help if your good at geometry. find a

Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

a = 1.8 to the nearest tenth.

Step-by-step explanation:

Remark

I don't think this case is ambiguous. It has only 1 solution, I think.

Step One

Find the top angle.

All triangles have 180 degrees.

15 + 105 + x = 180

120 + x = 180                     Subtract 120 from both sides

x = 180 - 120

x = 60

Step Two: Find a

a/sin(60) = 2/Sin(105)       Multiply both sides by sin(60)

a = 2 *  Sin(60) / sin(105)

a = 2 * .8660 / 0.9659

a = 1.793

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What is the product of (–22.1)(–5.6)?
Serggg [28]

Answer:

123.76

Step-by-step explanation:

a negative times a negative is a positive

22.1 times 5.6 is 123.76

4 0
3 years ago
In a school of 3200 total students 3/8
dmitriy555 [2]

Answer:

i) Boys:1200; Girls:2000

Boys:37.5%; Girls:62.5%

Step-by-step explanation:

i) Boys: 3200*(3/8) =1200

Girls: 3200-1200 =2000

ii) Boys: (1200/3200)*100%= 37.5%

Girls: 100%- 37.5%= 62.5%

3 0
3 years ago
A customor calculated the cost of a new jacket c including a 7% sales tax.what are the ways to calculate the price including tax
Svetach [21]
Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.
4 0
3 years ago
A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?
Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, k which is to be found as:

k=\frac{0.6931}{T_{\frac{1}{2}}}

where T_{\frac{1}{2}} is the half life of Pb-210 which is given to be 22 years in the question.

Thus, k=\frac{0.6931}{22}\approx0.0315

Now, we will use the second formula which is called the function of decay formula and is given as:

N = N_{0} e^{-kt}

where N percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67

N_{0} percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, t.

0.67=1\times e^{-0.0315t}

Taking natural log on both sides we get:

ln(0.67)=-0.0315t

\approx-0.4005=-0.0315t

\therefore t=\frac{0.4005}{0.0315}

t\approx12.71 years

Therefore the bone fragment is about 12.71 years old.

7 0
4 years ago
Which action completes this<br> diagram?
sammy [17]

Answer: Establish a national bank

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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