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IgorLugansk [536]
3 years ago
7

You have 15 pennies in your pocket. Of those pennies, 3 are Canadian. Suppose you pick a penny out of your pocket at random. Fin

d P(not Canadian). A. 1/5 B. 4/5 C. 6/5 D. 5
Mathematics
2 answers:
mojhsa [17]3 years ago
7 0
Hello There!

It is 12/15, which can be written as 4/5

Hope This Helps You!
Good Luck :) 

- Hannah ❤
choli [55]3 years ago
4 0
12 out of 15. 12/15 = 4/5 answer is b
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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



8 0
3 years ago
Read 2 more answers
What is this question in simplified form
EastWind [94]

Answer: -77\sqrt{30}

Step-by-step explanation:

(-7(3)^1/2)(11(10)^1/2)=

-7*11*(3)^1/2 * (10)^1/2=

-77*(3*10)^1/2=

-77(30)^1/2=-77\sqrt{30}

6 0
1 year ago
Find the slope between the pair of points (1,3) and (7,2)
agasfer [191]

Answer:

             \bold{m=-\dfrac16}

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(1, 3)    ⇒   x₁ = 1,  y₁ = 3

(7, 2)    ⇒   x₂ = 7,  y₂ = 2

So the slope:

                    \bold{m=\dfrac{2-3}{7-1}=\dfrac{-1}6=-\dfrac16}

5 0
3 years ago
PLS HELP ASAP THIS IS DUE IN 5 MINUTES
MA_775_DIABLO [31]

Answer:

A and B

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP 40 POINTS!!!
pshichka [43]

Answer:

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Step-by-step explanation:

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