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andriy [413]
3 years ago
11

Write the following number in standard form: 3.471 × 10^−5

Mathematics
1 answer:
muminat3 years ago
4 0
0.00003471 is the correct answer I believe
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Given: △ABC, AB=5 sqrt 2 m∠A=45°, m∠C=30° Find: BC and AC will give brainliest!!! By the way the answer is not 5 and 3.66
Makovka662 [10]

Answer:

Therefore,

BC=a=10\ units\\\\AC=b=13.66\ units

Step-by-step explanation:

Consider a Δ ABC with

m∠ A = 45°

m∠ C = 30°

AB = c = 5√2

To Find:

BC = a = ?

AC = c = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180\\\\45+30+\angle B=180\\\ttherefore m\angle B =180-75=105\°

We know in a Triangle Sine Rule Says that,

In Δ ABC,

\frac{a}{\sin A}= \frac{b}{\sin B}= \frac{c}{\sin C}

substituting the given values we get

\frac{a}{\sin 45}= \frac{b}{\sin 105}= \frac{5\sqrt{2} }{\sin 30}

∴ \frac{a}{\sin 45}= \frac{5\sqrt{2} }{\sin 30}\\\\a=\sin 45\times \frac{5\sqrt{2} }{\sin 30}\\\\a=\frac{1}{\sqrt{2} }\times \frac{5\sqrt{2} }{0.5} \\\\\\a=\frac{5}{0.5} =10\\\therefore BC = a = 10\ units

Similarly for 'b',

\frac{b}{\sin 105}= \frac{5\sqrt{2} }{\sin 30}\\\frac{b}{0.9659}= \frac{5\sqrt{2} }{0.5}\\\\b=0.9659\times \frac{5\sqrt{2} }{0.5}\\\\b=\frac{6.8301}{0.5} \\\\b=13.66\\\therefore AC = b =13.66\ units\\

Therefore,

BC=a=10\ units\\\\AC=b=13.66\ units

8 0
3 years ago
The table shows the grades that science students earned on the last test. a:17 b:25 c:24 d:12 f:2 What percent of students recei
Molodets [167]

Answer:

0.525 %

Step-by-step explanation:

there is a total of 80 students and 42 received a A or B so 42/80 = 0.525

Hope this helps!

8 0
4 years ago
Ms jiang cut a string into 16 equal pieces if the lenght of each piece was exactly 7.3 inches long what was the original lenght
Klio2033 [76]

let X equal initial string length

X / 16 = 7.3

X = 7.3 * 16

X = 116.8

3 0
4 years ago
What is 12.1167 rounded to the nearest hundredth?
Anastaziya [24]
12.12                           <span>  </span> 
4 0
3 years ago
VerZion sells the iPhone X for $899. If the monthly plan for service is $65 per month what is the linear equation for the cost o
geniusboy [140]
899$ is the y intercept because that is your starting value. Then, 65 is your slope. (Rise 65, run 1). After 24 months, the total cost will be 2459$. This is because 24 • 65 = 1560. This is your total cost of phone service. Then, you need to add the phone. 1560 + 899 = 2459. So you total cost is 2459.
5 0
3 years ago
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