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Scorpion4ik [409]
3 years ago
15

A loan of $25,475 is taken out at 4.6% interest, compounded annually. If no payments are

Mathematics
1 answer:
stira [4]3 years ago
7 0

Answer:

9 years

Step-by-step explanation:

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The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square fee
Salsk061 [2.6K]

The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.

<h3>What is the volume of the sphere?</h3>

The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.

Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.

The volume of the dome will be calculated as below:-

SA = 13.924π

2πr² = 13.92π

r = √6.96

r = 2.63 feet

Volume = 2 / 3 πr³

Volume = ( 2 / 3 ) π ( 2.63)³

Volume = 12.24π cubic feet

Therefore, the volume of the spherical dome will be 12.9π cubic feet.

To know more about volume follow

brainly.com/question/24247548

#SPJ1

7 0
1 year ago
MIDDLE SCHOOL MATH- 4 QUESTIONS
Contact [7]

Answer:

( I am assuming that these are all fractions)

1. 14 \frac{4}{7}

2.  8

3. \frac{4}{15}

4. 5 \frac{8}{11}

Step-by-step explanation:

1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14 \frac{4}{7}

2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8

3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to \frac{4}{15} .

4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5 \frac{8}{11}

Hope this helps

Please tell me if I made any mistakes I enjoy learning from them.

6 0
3 years ago
5. At a picture frame shop you order a $52 picture frame. You have a $40 gift certificate and a
svetoff [14.1K]

Do the 11% off first.

11% of 52$ is 46.38$, then you take $40 off and your total is only $6.38

if you do -40$ first then you have $12 left and 11% off that is $10.68.

3 0
3 years ago
Use triangle ABC drawn below &amp; only the sides labeled. Find the side of length AB in terms of side a, side b &amp; angle C o
Brrunno [24]

Answer:

AB = \sqrt{a^2 + b^2-2abCos\ C}

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

h = aSin\ C

Also, in BOC (Using Pythagoras)

a^2 = h^2 + x^2

Make x^2 the subject

x^2 = a^2 - h^2

Substitute aSin\ C for h

x^2 = a^2 - h^2 becomes

x^2 = a^2 - (aSin\ C)^2

x^2 = a^2 - a^2Sin^2\ C

Factorize

x^2 = a^2 (1 - Sin^2\ C)

In trigonometry:

Cos^2C = 1-Sin^2C

So, we have that:

x^2 = a^2 Cos^2\ C

Take square roots of both sides

x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

Substitute x= aCos\ C and h = aSin\ C in AB^2 = h^2 + b^2-2bx+x^2

AB^2 = h^2 + b^2-2bx+x^2

AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2

Open Bracket

AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C

Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

6 0
3 years ago
What is the distance between points (4,7) and (-3,6) using the Pythagorean theorem
uysha [10]
A² + b² = c². 
Make a triangle with the points on a grid. 
One leg is 7 units and the other is 1 unit.
7² is 49 and 1² is 1. 
49 + 1 = 50 
√50 ≈ 7.071. 
Hope this helps!
6 0
3 years ago
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