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r-ruslan [8.4K]
3 years ago
12

Simplify the expression write the answer in scientific notation (9×10^7) (7×10^9)

Mathematics
1 answer:
aliina [53]3 years ago
6 0

\text{The scientific notation}\ a\cdot10^k,\ \text{where}\ 1\leq a

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(Law of Sines)
Mariana [72]

Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}

Consider the first and third ratio,

\frac{b}{\sin B}=\frac{d}{\sin D}

Substitute the values of d = 3 , b= 5 and ∠D=25°

\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}

\Rightarrow \sin B=\frac{\sin 25^{\circ} \times 5}{3}}  

 \Rightarrow \sin B=45,135

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.

Thus, option (D) is correct.


7 0
3 years ago
Read 2 more answers
What is the intersection of y=7 and y=1\2x+6
kotegsom [21]
Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7

and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so

to find the intersection, yo just find when both sentances are correct so

y=7
subsitute that into y=1/2x+6

7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x

so the point (2,7) is the intersection
8 0
3 years ago
If the correlation between height and weight of a large group of people is 0.75​, find the coefficient of determination​ (as a​
Shtirlitz [24]
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
R = 0.75

So,
R²  = 0.75²

R² = 0.5625

R²  = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
4 0
3 years ago
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40•(420:x-37)=200 помогите решить уравнение
miv72 [106K]
40•(420:x-37)=200 <span>означает 40(\frac{420}{x}-37)=200
</span>
<span>разделите обе стороны на 40
</span><span>
\frac{420}{x}-37=5
</span>
<span>добавить 37 с обеих сторон

\frac{420}{x}=42
</span>
<span>умножить обе стороны на х
420=42x

</span><span>разделите обе стороны на 42
10=x
x=10
</span>
4 0
3 years ago
Is -3 bigger or less then -12
Gnom [1K]

Answer:

bigger

Step-by-step explanation:

-3 is bigger then -12

5 0
3 years ago
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