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Rudiy27
3 years ago
14

Calculate the length of the Line in the trapezoid AC showing working to 1dp

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

18.1 cm

Step-by-step explanation:

Consider a segment parallel to CD and passing through B.

This segment will form a right-angle triangle with A

It's length would be equal to the length of CD (the missing length)

Height of that triangle:

11 - 4 = 7

CD² = 16² - 7²

CD² = 207

CD = sqrt(207)

AC² = AD² + CD²

AC² = 11² + 207

AC² = 328

AC = 2sqrt(82)

Which is roughly 18.1 cm

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Name the property of multiplication illustrated<br><br> 112 X 1 = 112
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Answer:

Identity property

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MATH HELP ASAP TYSM IF YOU PUT A RANDOM ANSWER YOU WILL BE REPORTED JUST GIVE ME THE ASNWER DON"T SHOW YOUR WORK TYSM
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Answer:

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3 0
3 years ago
John invests $3,000 into an account that earns 4.7% interest compounded quarterly. Write an equation and us it to find the value
kow [346]

Answer:

The equation is;

A = 9,000(1 + 0.047/4)^48

The value is

$15,767.28

Step-by-step explanation:

Here we want to find the value of an investment after 12 years, given its interest rate;

Mathematically the amount which is the value would be;

A = I( 1 + r/n)^nt

Where A is the amount in 12 years

I is the initial amount invested = $3,000

r is the interest rate = 4.7% = 4.7/100 = 0.047

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t is the number of years = 12

Substituting these values, we have

A = 9,000(1 + 0.047/4)^(12^4)

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The above is the expression

A = 9,000(1 + 0.01175)^48

A = 9,000(1.01175)^48

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8 0
3 years ago
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the exp
mezya [45]

Step-by-step explanation:

in total we have 3+4 = 7 balls.

when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.

when we draw the second ball, we have now only 6 balls in total.

the probabilty to draw a red back now depends also on the result of the first draw.

if the first ball was already red, then we have only a chance now of 2 out of 6.

if the first ball was blue, then we have now a chance of 3 out of 6.

so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :

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the expected number of red balls in 2 draws is

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but not second and second but not first

1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571

7 0
2 years ago
Can someone help me find the side of a 30 60 90 triangle​
Anastasy [175]

Answer:

y = 7.5

x = 7.5√3

Step-by-step explanation:

sin(30) = 1/2

cos(30) = √3/2

Above is rule

==>

y = 7.5

x = 7.5√3

4 0
2 years ago
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