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madreJ [45]
3 years ago
7

Aiden built a cone shaped volcano for a school science project. The volcano has a base diameter of 32 cm and a slant height of 4

5 cm
a) Whats the lateral area to the nearest tenth of a square?

b) the paint for the volcanos surface costs $1.99/jar, and one jar of paint covers 400cm^2. How much will the paint cost?
Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

a) About 2261.95

b) $11.94

Step-by-step explanation:

a) The lateral area of a cone can be calculated via A=πrl

b) Simple do 2261.95/400 and round to the nearest 1 to get 6.  Then multiply 6 by 1.99 to get 11.94

Hope it helps <3

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What is the equation of the coordinate A and B if they are (4,7), (6,3) respectively. What is the equation of the straight line.
Nesterboy [21]

Answer: y+2x=15

Step-by-step explanation:

Given

Two points A and B are (4,7) and (6,3) respectively

Using two-point form

\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}

Putting values

\Rightarrow \dfrac{y-7}{x-4}=\dfrac{3-7}{6-4}\\\\\Rightarrow \dfrac{y-7}{x-4}=\dfrac{-4}{2}=-2\\\\\Rightarrow y-7=-2x+8\\\\\Rightarrow y+2x=15

3 0
3 years ago
In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 6 day peri
liubo4ka [24]

Answer:

The margin of error that corresponds to a 95% confidence interval is 4.96.

Step-by-step explanation:

We have the standard error(which is the same as the standard deviation of the sample), so we use the students 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. There are 6 days, so

df = 6 - 1 = 5

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{0.975}). So we have T = 2.5706

The margin of error is:

M = T*s = 2.5706*1.93 = 4.96

The margin of error that corresponds to a 95% confidence interval is 4.96.

3 0
4 years ago
Show that there is no rational number whose square is 5<br><br>​
lozanna [386]

Answer:

Step-by-step explanation:

Take the square root of 5, which is 2.236, aka not a rational number. It doesn't come out to a whole number so therefore there is no rational solution

4 0
3 years ago
Help please!!!!!!!!!​
devlian [24]

Answer:

YOU not smartYOU DONT KNOW THIS HA HA NOT HELPING YOU BOT.

Step-by-step explanation:

4 0
3 years ago
Identify the form of each equation. 7x + 5y = 8 is in (select) . y − 5 = 3 (x − 9) is in (select) . y = 7x + 9 is in (select) .
erik [133]

Answer:

Let's define all the possible forms:

slope-intercept: y = a*x + b

point-slope: y - y1 = a*(x - x1)   (where (x1, y1) is a point in the line)

standard form: a*x + b*y = c

then:

a) 7x + 5y = 8

This is in standard form.

b) y − 5 = 3*(x − 9)

This is in point slope form.

c) y = 7x + 9

This is in slope-intercept form.

d) 8x − 9y = −2

This is in standard form.

5 0
3 years ago
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