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Gelneren [198K]
3 years ago
14

Need help with this question

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer: The surface area is 65 cm.

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Original price:23.99; Markdown:44%
pychu [463]

Answer:

$13.43 is the price after the markdown

Step-by-step explanation:


5 0
2 years ago
Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0
2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br><br> _____ units
krek1111 [17]

Answer:

x=28

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem.  Put the side of the small triangle over the same side of the larger triangle.

x               42

---------- = ----------

x+10           42+15

Simplify

x               42

---------- = ----------

x+10           57

Using cross products

57x = 42 (x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x +420

15x = 420

Divide each side by 15

15x/15 = 420/15

x=28

6 0
2 years ago
Read 2 more answers
Jerry makes $300 per month but always runs out of money. He has $85 in fixed expenses and $60 in variable expenses that must be
cupoosta [38]

Answer: 155

Step-by-step explanation:

$300-$85-$60= $155

3 0
2 years ago
If 2&gt; -a, then a &lt; -2.<br> True<br> False
Nonamiya [84]

Answer:

False

Step-by-step explanation:

Flip the equation.

−a<2

Divide both sides by -1.

a>−2

4 0
2 years ago
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