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lina2011 [118]
3 years ago
6

What is the area of the base of a paper cone, in square inches, with a height of 15 inches and a volume of 900 cubic inches?

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

180 sq. in.

Step-by-step explanation:

The formula for the volume of a circular cone is V = (πr^2h)/3

So, 900 = (15πr^2)/3

2700 = 15πr^2

180 = πr^2 = area of the circular base

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2a² - a - 13 =2 I want to see the steps how its done​
sammy [17]

Answer:

Step-by-step explanation:

2a^-a-13=2

Subtract 2 from both sides :

2a^2-a-13=2=2-2

2a^2-a-15=0

Factor left side of the equation :

(2a+5) (a-3)=0

Set factors equal to 0 :

2a+5=0 or  a-3=0

a=-5/2   or a=3

8 0
3 years ago
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartF
Firdavs [7]

The length 2.3 and 7.8 units

We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.

<h3>What is the formula for low of cosine?</h3>

The Law of Cosines, which tells us

a^{2}=b^{2} +c^{2} -2bccosA

giving us a quadratic equation for b we can solve.  But let's do it with the Law of Sines as asked.

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

We have c,a,A so the Law of Sines gives us sin C

sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse

C_{a}=arcsin(0.5597)=34.033^{0}

C_{0}=180-C_{a}  =145.96^0

Both of these make a valid triangle with A=20°.   They give respective B's:

B_{a}=180-A-C_{a}  =125.96^0

B_{0}=180-C_{0}  =14.033^0

So we get two possibilities for b:

b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3

2.3 units and 7.8 units

Therefore we get the length 2.3 and 7.8 units

To learn more about the low of sine and cosine visit:

brainly.com/question/4372174

Answer: 2.3 units and 7.8 units

Let's check it with the Law of Cosines:

There's a shortcut for the quadratic formula when the middle term is 'even.'

Looks good.

4 0
2 years ago
Scrooge-
Neporo4naja [7]

Answer:

Step-by-step explanation:

8 0
3 years ago
The volume of an oblique pyramid with a square base is V units3 and the height is h units. Which expression represents the area
givi [52]

Answer:

Area of the base of the pyramid = V/h

Step-by-step explanation:

Mathematically, we know that the volume of the pyramid can be calculated by multiplying the area of the base by the height of the pyramid

Now using the variables in the question;

V = area of base * height of pyramid

Area of base = V/height of pyramid

Area of base = V/h

3 1
3 years ago
Help me solve this image please!!!
tresset_1 [31]

Based on the information, Christian would have $5525.5 of an annuity.

<h3>How to calculate the annuity?</h3>

According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12

Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54

Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133

n = number of payments = 8 x 12 = 96

We can use the formula for finding the future value as below

FV = C x [ ( 1 + r )n-1 ] / ( r )

FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)

= 54 x [ (1.13609 - 1)] / (0.00133)

= 54 x 0.13609 / (0.00133)

= 54 x 102.3233

= 5525.5

Therefore Christian would have $5525.5 of the annuity.

Learn more about annuity on:

brainly.com/question/5303391

#SPJ1

5 0
2 years ago
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