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2 years ago

Referring to the Fig. in Question #40, find the unknown length Y.

Mathematics

2 answers:

icang [17]2 years ago

7 0

Answer:

tan30°=7/x

$\frac{1}{ \sqrt{3} } = \frac{7}{x } \\ x = 7 \sqrt{3}$

cos30°=x/y

$\frac{ \sqrt{3} }{2} = \frac{7 \sqrt{3} }{y} \\ \\ 7 \sqrt{3} \times 2 = \sqrt{3} \times y \\ \frac{7 \sqrt{3 } \times 2}{ \sqrt{3} } = y \\7 \times 2 = y \\ 14 = y$

tell me if it's wrong.

dolphi86 [110]2 years ago

3 0

Above answer is correct

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In a pile of coins there are 7 more quarters than nickels. If there is a total of$2.65 in coins, how many quarters are there?

Alinara [238K]

A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
(x)(0.05) + (x + 7)(0.25) = 2.65
Simplifying,
0.05x + 0.25x + 1.75 = 2.65
Simplifying further,
0.3x = 0.9
The value of x from the equation is 3. Hence, there are 10 quarters.

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3 years ago

Read 2 more answers

the area of rhode island is approximately 1200 square miles, and its population is approximately 1 million people. What is the b

devlian [24]

Answer: 1,083.3333

Step-by-step explanation:

The best estimate for the population density for Rhode Island is 1,083 people. I found this by dividing 1,300,000 by 1200.

Hope my answer helps you out :D

5 0

3 years ago

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

dusya [7]

Equation of a line:
$y=mx+c$

m = gradient: The difference between two y points and two x points.
$m= \frac{\Delta y}{\Delta x}$

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
$y=\textunderscore\textunderscore \ x + \textunderscore$
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, 7) and (0, 1)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (12, 7) and (0, 1)- This gives:

$m= \frac{7-1}{12-0}$
$m= \frac{6}{12}$
$m=0.5$

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

$c=1$

When you plug these values into the equation you get your answer:

$y=0.5x+1$

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3 years ago

heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h

Ganezh [65]

Assuming that the two investments are X & Y
X + Y = 6300
X = 6300 - Y (1)

9/100X + 4/100 Y = 372 (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful

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3 years ago

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose tha

san4es73 [151]

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

= 0.2364

3 0

3 years ago