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stepladder [879]
3 years ago
15

What is [b-5] over 8=5

Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0

Answer:

B=45

Step-by-step explanation:

Multiply 8 by 5

Add 40 and 5 together

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5. LETTERS How many ways can you<br> arrange the letters in the word<br> history?
SIZIF [17.4K]

Answer:

5040

Step-by-step explanation:

You get this number by using the mathematical process of factorials.

Since <em>history </em>has seven words, we will solve seven factorial.

7! = 5040

3 0
3 years ago
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Find the area of the circle with the given diameter. Use 3.14 for π. Round to two decimal places.
harkovskaia [24]

Answer:

14.13 m^2

Step-by-step explanation:

Formula for area:

3.14*r^2

To find the radius(r), you do diameter(d)/2:

9/2=4.5

3.14*4.5^2=14.13 m2

6 0
3 years ago
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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
3 years ago
John is building a fence around his home currently his fence measures 14 feet on each side but he wants to increase only the wid
nalin [4]

Answer:

The dimensions of rectangular fence are 14 feet and 20 feet.

Step-by-step explanation:

We are given the following in the question:

Length of rectangular fence = 14 feet

Width of fence = (14+x) feet

Area of rectangular field = 280 square feet

Area of rectangular field =

A= \text{Length}\times \text{Width}

Putting the values, we get,

280 = 14(14+x)\\\\14 + x = \dfrac{280}{14}\\\\14 + x = 20\\x =20-14\\x = 6

Thus, the dimensions of rectangular fence are 14 feet and 20 feet.

7 0
3 years ago
Which pair of angles shares ray A,F as a common side?
Gennadij [26K]

Answer:

< BAF  <DAF

Step-by-step explanation:

The first angle is < BAF

The second angle is <DAF

The ray A,F has to be in the name of the angle

3 0
3 years ago
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