Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
====================
This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
There are 3 pairs of earrings that you bought in addition to the jeans. Forming an equation with the given values helps to find the required value.
<h3>How to write an equation for the given information?</h3>
It is given that,
A pair of jeans cost = $44
A pair of earrings cost = $12
you spent a total of $80 before taxes.
So, the equation for the given data is,
$80 = $44 + $12x
Where x is the number of pairs of earrings.
<h3>Calculation:</h3>
Simplifying the obtained equation:
$80 = $44 + $12x
⇒ 12x = 80 - 44
⇒ 12x = 36
⇒ x = 36/12
∴ x = 3
Thus, you can buy three pairs of earrings at the mall in addition to the jeans.
Learn more about an equation here:
brainly.com/question/25678139
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Answer:
W= 5.744
Step-by-step explanation:
given that a grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a standard deviation of 1.4 ounces
Sample size n= 49
Margin of error = 0.10 (10% risk )
Let us assume X no of apples having mean weight of 6 oz is N(6,1.4)
Then sample mean will be normal with (6, 1.4/7) = (6,0.2)
(Because sample mean follows normal with std error as std dev /sqrt of sample size)
Now required probability <0.10
i.e.
Since x bar is normal we find z score for
From std normal distribution table we find that z = 1.28
Corresponding X score =
Answer:
192.92 ft^3
Step-by-step explanation:
volume of a cone = 
πr²h
π = 3.14
r = radius ]
h = height
the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle
circumference of a circle= 2πr
30.144 = 2 x 3.14 x r
r = 30.144 / 6.28
r = 4.8
Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3
20l + 25g -10
replace G with 4 and L with 3
20(3) + 25(4) - 10
60 + 100 - 10
160 - 10
150
he made $150
