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Levart [38]
2 years ago
8

Pls help me with this math

Mathematics
1 answer:
Alexeev081 [22]2 years ago
8 0

Answer:

62 is your answer

Step-by-step explanation:

6 × (36 ÷ 12)² + 8, you can also write 36 ÷ 12 as a fraction, which would look like this: 36/12

Step 1: 6 × 36/12² + 8 = 6 × 3² + 8

Step 2: Multiply 6 and 9

(6)(9)+8 = 54+8

Step 3: Then you add 54 and 9 and you get 62

Answer: 62

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A sphere with radius 16 m is cut by a plane that is 9 m below its center. what is the best approximation of the area of the circ
alexdok [17]
The complete question in the attached figure

we know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²

<span>let's assume that the center of the sphere is at the origin
</span>so
(h,k,l)-------> (0,0,0)
for r=16 m
(x-h)²+(y-k)²+(z-l)²=r²-------->  (x)²+(y)²+(z)²=16²

for z=9 m
(x)²+(y)²+(9)²=16²--------> (x)²+(y)²=256-81--------> (x)²+(y)²=175
the radius of the circle is r=√175 m
so the area of the circle A=pi*r²-----> A=pi*175-----> A=549.5 m²

the answer is 
the area of the circle is 549.5 m²

6 0
3 years ago
Based on corresponding angles and vertical angles, which angles must always be congruent to the angles glven?​
Gre4nikov [31]

Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex

8 0
3 years ago
Please help<br><br>1 through 5​
Arte-miy333 [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

The margin of error is:

M = T*s = 2.7079*234.12 = 633.97

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

8 0
3 years ago
Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is
MrRa [10]

No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

55/275 , or 20%.

4 0
3 years ago
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