What is the lateral area of this regular octagonal pyramid?

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun

Inessa [10]

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

5 0

2 years ago

A friend tells you that he has a cubic equation with exactly three complex roots. Determine which explanation best explains why

Ksju [112]

Complex solutions, namely roots with a √(-1) or "i" in it, never come all by their lonesome, because an EVEN root like the square root, can have two roots that will yield the same radicand.

a good example for that will be √(4), well, (2)(2) is 4, so 2 is a root, but (-2)(-2) is also 4, therefore -2 is also a root, so you'd always get a pair of valid roots from an even root, like 2 or 4 or 6 and so on.

therefore, complex solutions or roots are never by their lonesome, their sister the conjugate is always with them, so if there's a root a + bi, her sister a - bi is also coming along too.

if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.

3 0

2 years ago

Read 2 more answers

Evaluate the expression. P(9, 3) · P(5, 4)

boyakko [2]

Answer:

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

$nPx = \frac{n!}{(n-x)!}$

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

Step-by-step explanation:

For this problem we want to find the following expressionÑ

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

$nPx = \frac{n!}{(n-x)!}$

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

6 0

2 years ago

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression rep

gregori [183]

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

Solution:

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

$\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x$

Thus amount earned in second week = 1.05x dollars

The total amount earned in both weeks:

Total amount = Amount earned in first week + Amount earned in second week

$Total\ Amount = x + 1.05x = 2.05x$

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

5 0

2 years ago

8) If the resistance in an electrical circuit is held constant, the amount of current flowing through the 8) circuit is directly

Len [333]

Answer:

C) 80 milliamperes

Step-by-step explanation:

The amount of current flowing through a circuit is directly proportional to the amount of voltage applied across the circuit. The relation between current(I) and voltage(V) can be expressed as:

$I \propto V\\\\I = \frac{1}{R}V$

Here, $\frac{1}{R}$ is the proportionality constant. It is given that, when voltage is 2 volts, 40 milliamperes( $40 \times 10^{-3}$ amperes) current flow through the circuit. Using these values we can find the value of proportionality constant. i.e.

$40 \times 10^{-3}=\frac{1}{R} \times 2\\\\ \frac{1}{R}=20 \times 10^{-3}$

Using this value, we can establish the relation between I and V as:

$I = 20 \times 10^{-3} \times V$

Now, we need to calculate value current (I) if voltage is equal to 4 volts. Substituting V = 4 in above equation, we get:

$I = 20 \times 10^{-3} \times 4\\\\ I = 80 \times 10^{-3}$

Thus, the value of current will be 80 milliamperes

6 0

2 years ago