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2 years ago

Given right triangle ABCABC with altitude \overline{BD}

Mathematics

2 answers:

Alex2 years ago

6 0

Answer:

$x = 2\sqrt{11}$

Step-by-step explanation:

AD = 4

AC = 11

DC = 11 - 4 = 7

First, find BD using the right triangle altitude theorem:

$BD = \sqrt{AD*DC}$

Plug in the values

$BD = \sqrt{4*7}$

$BD = 2\sqrt{7}$

Use pythagorean theorem to find x:

x² = AD² + BD²

Plug in the values

$x^2 = 4^2 + (2\sqrt{7})^2$

$x^2 = 16 + (4*7)$

$x^2 = 16 + 28$

$x^2 = 44$

Take the square root of both sides

$\sqrt{x^2} = \sqrt{44}$

$x = \sqrt{44}$

$x = \sqrt{4 * 11}$

$x = 2\sqrt{11}$

Ahat [919]2 years ago

6 0

Answer:

Step-by-step explanation:

\frac{\color{darkorange}{x}}{\color{darkgreen}{4}}=

\,\,\frac{\color{darkorange}{9}}{\color{darkgreen}{x}}

Use the longer leg over the shorter leg in the smaller triangle and the middle triangle

x^2=

\,\,36

Multiply both sides by 44 and xx

\sqrt{x^2}=

\,\,\sqrt{36}

Square root both sides

\,\,6

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Anyone know how to solve this?

Elina [12.6K]

35% of 80 is 28.

80 x 0.35 = 28

I hope this helps.

6 0

2 years ago

The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900

Tems11 [23]

The poopulation exponential model is given by

$P(t)=P_0e^{kt}$

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

$970=790e^{50k} \\ \\ \Rightarrow e^{50k}=1.228 \\ \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\ \\ \Rightarrow k=0.0041$

Thus, the exponential equation using the 1750 and the 1800 population values is $P(t)=790e^{0.0041t}$

The population of 1900 using the 1750 and the 1800 population values is given by

$P(t)=790e^{0.041\times150} \\ \\ =790e^{0.6158}=790(1.8511) \\ \\ =1,462$

The population of 1950 using the 1750 and the 1800 population values is given by

$P(t)=790e^{0.041\times200} \\ \\ =790e^{0.821}=790(2.2729) \\ \\ =1,796$

From the table, it can be seen that the actual figure is greater than the exponential model values.

7 0

2 years ago

There are four candidates (A. B, C, and D) and 115 voters. When the points were tallied (using 4 points for frst, 3 points for s

aivan3 [116]

Answer:

D had 310 points.

The final ranking is: B,A,D,C

Step-by-step explanation:

The problems states that:

There are 115 votes.

Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.

Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:

$A + B + C + D = 1150$

We already know that:

A had 320 points, B had 330 points, and C had 190 points.

So:

$A + B + C + D = 1150$

$320 + 330 + 190 + D = 1150$

$D = 310$

B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C

3 0

2 years ago

Carolina is painting a large pink rectangle on her bedroom wall using chalkboard paint. The rectangle is going to be 1.8 meters

dmitriy555 [2]

Answer:

2.5

Step-by-step explanation:

Usually when you try and find the area you would multiply but you don't have one of the numbers to multiply, so what is the oppisite of multiplication? Divison. You would divide the area by the highth. so it would be 4.5 divided by 1.8. 4.5 divided by 1.8 equals 2.5. And to make sure your answer is correct you would multiply 1.8 times 2.5 wich does equal 4.5. The highth is 1.8, the Length is 2.5, and the are is 4.5

6 0

2 years ago

40 pts!! please help T^T

viva [34]

Answer:

30%

Step-by-step explanation:

If a football quarterback enjoys practicing his long passes over 40 yards and misses the first pass 40% of the time, but when he misses on the first pass, he misses the second pass 20% of the time. The probability of missing two passes in a row is 30%.

First pass: 40%

Second pass: 20%

40% and 20% combined/average is 30%.

Therefore, the probability of missing two passes in a row is 30%.

3 0

2 years ago

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