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valkas [14]
2 years ago
9

The top of a ladder is leaning on a building at a point 12 feet above the ground.The bottom of the ladder is 5 feet from the bas

e of the building. What is the length of the ladder?

Mathematics
1 answer:
oee [108]2 years ago
7 0

Answer:

13

Step-by-step explanation:

using c^2 = a^2 + b^2

whereas c is the length of the ladder

a is the top of the ladder

b is the distance from building

so c^2 = 12^2 + 5^2 = 144 + 25 = 169

c = 13

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Andrews [41]

Answer:

B (r= 1/6s)

Step-by-step explanation:

If you just work out each option, you'll see that "s" multiplied by 1/6 gets r.

5 0
3 years ago
Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located
earnstyle [38]

The formula of a midpoint:

M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)

We have:

M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7

Substitute

\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4

<h3>Answer: (-2, -4)</h3>
8 0
3 years ago
Help me with the question of o.math​
Lelu [443]

Answer:

Hello,

Answer 163

Step-by-step explanation:

1,7,16,28,43,..., 10th term=?

u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\

Download xls
7 0
3 years ago
Read 2 more answers
If the current in a circuit is 2 +j2 amps and the resistance is 3-j2 ohms, what is the voltage
victus00 [196]

Answer:

The voltage is 10 + 2j volts.

Step-by-step explanation:

Ohm's first law:

By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:

V = R*i

The voltage is measured in Volts, the current in amps and the resistance in ohms.

In this question:

Both the current and the resistance have complex parts. We have to know that:

j^{2} = -1

We have that:

R = 3 - 2j, i = 2 + 2j

Then

V = R*i

V = (3 - 2j)*(2 + 2j)

V = 6 + 6j - 4j - 4j^{2}

V = 6 + 2j - 4(-1)

V = 10 + 2j

The voltage is 10 + 2j volts.

4 0
4 years ago
A human gene carries a certain disease from the mother to the child with a probability rate of 34%. That is, there is a 34% chan
fenix001 [56]

Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 \times 0.66 \times 0.66)

                     = 1 - 0.2875 = <u>0.7125</u>

7 0
3 years ago
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