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Ira Lisetskai [31]
3 years ago
6

What shape is the base of a pentagonal pyramid ?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

Step-by-step explanation:

The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

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Ivan evaluated the expression 8+12÷3×2 and got 10. What mistake did he make?
lesya [120]
Ivan forgot to follow PEMDAS
Division first
12/3 = 4
4 x 2 = 8
8 + 8 = 16
Hope this helps!
3 0
3 years ago
Read 2 more answers
Select all the numbers that are common multiples of 4 and 6.
Verdich [7]

Answer:

12, 24, and 60.

Step-by-step explanation:

It says multiples. Not factors, so it can't be 1 or 2. Neither of the numbers can make the number 10. 4 can make 40, but 6 can't.

8 0
3 years ago
Read 2 more answers
Gianna has a two $3,000 one year CDs at different banks. Each compounds
sertanlavr [38]

Answer:

Option D

Step-by-step explanation:

To calculate compound interest we will use the formula :

A=P(1+\frac{r}{n})^{nt}

Where,

A = Amount on maturity

P = Principal amount = $3000

r = rate of interest = 8.4% = 0.084

n = number of compounding period = Monthly = 12

t = time = 1 year

Now put the values in the formula.

A=3000(1+\frac{0.08}{12})^{(12)(1)}

   = 3000(1+0.007)^{12}

   = 3000(1.007)¹²

   = 3000 × 1.08731066

   = 3261.93198 ≈ $3261.93

While the other bank compounds interest daily.

Therefore, n = 365

Now put the values in the formula with n = 365

=3000(1+\frac{0.084}{365})^{(365)(1)}

=3000(1+0.00023014)^{365}

=3000(1.00023014)^{365}

= 3000 × 1.08761958

= 3262.85874 ≈ $3262.86

Difference in the ending balance = 3262.86 - 3261.93

                                                       = $0.93

The difference in the ending balances of both CDs after one year would be $0.93.

8 0
3 years ago
Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes​
gtnhenbr [62]

Answer: the graph crosses the x-axis at x = -3

<u>Step-by-step explanation:</u>

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3)    with a multiplicity of 3

-3 = x           with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

<em />

<u>Graph:</u>

  • Leading coefficient is POSITIVE so right side goes to +∞
  • Degree of polynomial is ODD so left side goes to -∞

<em>graph is attached</em>

6 0
3 years ago
If m∠4 = 35, find m∠2. Explain.
Bad White [126]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

             = m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

        = 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

        = 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0
3 years ago
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