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2 years ago

The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters.

Mathematics

1 answer:

Tcecarenko [31]2 years ago

6 0

Answer:

its A

Step-by-step explanation:

Hope it helps

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Solve for x in the triangle above

faust18 [17]

Answer:

x = 30

Step-by-step explanation:

The interior angles of a triangle must always add up to 180.

2x + 2x + 3x - 30 = 180

Add 30 to both sides to seperate variables.

2x + 2x + 3x = 210

Combine like terms.

7x = 210

Divide by 7 to isolate x.

x = 30

8 0

3 years ago

PLS HELP !!!!!!! Find the value of x. x=

Gre4nikov [31]

The answer to that question is 1

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2 years ago

Determining the Scale Factor of a Dilation Consider the dilation of pentagon ABCDE by a scale factor of If AB = 12, then A'B' A&

barxatty [35]

<h3>Answer:</h3>

If AB = 12units, then

A'B' = 1/2 × 12 = 6units.

If C'D' = 5units, then

CD = 2 × 5 = 10units.

5 0

2 years ago

Three divided by what equals 36

leva [86]

108 is the correct answer

8 0

2 years ago

Read 2 more answers

30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago