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hodyreva [135]
3 years ago
11

Mrs. Smith is using a 6-meter ladder to clean the windows on her second floor. Her ladder stands on level ground and rests again

st the side of her house at a point 4 meters above ground. How far from the side of her house is the foot of the ladder? At what angle is it leaning? Round your answers to nearest tenth.

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0
The side of her house is the foot of the ladder= Base= √36-16
=2√5m

angle it is leaning at = sin ¶
= 4/6
¶= 45°

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What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from a) 5 to 11? b)2 to 8? c)10
LenKa [72]

Answer: 1/2, 1/2, 1/4

Step-by-step explanation:

To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12

Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number

13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution

4 0
2 years ago
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Solve for x x + 6=18
Verizon [17]
X=12

This is because you subtract 6 from both sides to get the x isolated.

So x=18-6

x=12 :)
6 0
3 years ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
39. Solve this system: 3x+y=-7 . 4x-y=14A. (–1, 10)B. (1, –10)C. (–1, –10)D. no solution
valkas [14]

Given,

The linear pair of the equation is,

\begin{gathered} 3x+y=-7 \\ 4x-y=14 \end{gathered}

Required

The solution of the linear equation.

Taking the equation first as,

\begin{gathered} 3x+y=-7 \\ y=-7-3x \end{gathered}

Substituting the value of y in second equation then,

\begin{gathered} 4x-y=14 \\ 4x+7+3x=14 \\ 7x+7=14 \\ 7x=7 \\ x=1 \end{gathered}

Substituting the value of x in first equation then,

\begin{gathered} 3x+y=-7 \\ 3(1)+y=-7 \\ y=-7-3 \\ y=-10 \end{gathered}

Hence, the solution of the system is (1, -10).

8 0
1 year ago
R
Andreas93 [3]

TWINKLE TWINKLE LITTLE STAR

HOW I WONDER WHAT YOU ARE

UP ABOVE THE WORLD SO HIGH

LIKE A DIAMOND IN THE SKY

lol sorry-

your question ain't properly readable-

3 0
3 years ago
Read 2 more answers
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