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Ilya [14]
3 years ago
14

An isosceles triangle with angles b and c having the same measure is shown. Find the measure of each angle whose degree measure

is represented with variables. A= x+ 7y+41,B= 2y+13,C=6x+15
Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

A = 114°, B = C = 33°

Step-by-step explanation:

The triangle relationships let you write two equations:

A+B+C = 180

B=C

Substituting the expressions for A, B, and C, you have ...

(x+7y+41) +(2y+13) +(6x+15) = 180

7x +9y +69 = 180

7x +9y = 111

And the second equation gives ...

(2y+13) = (6x+15)

6x -2y =-2

3x -y = -1

Now, we can add 9 times this second equation to the first to eliminate the y-variable.

(7x +9y) +9(3x -y) = (111) +9(-1)

34x = 102

x = 3

Then the angle measures are ..

B = C = 6·3+15 = 33

A = 180 -2·33 = 114

The angles in the triangle are (A, B, C) = (114°, 33°, 33°).

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I really need help, someone please help me
Hoochie [10]

Answer:

18.84 meters.

Step-by-step explanation:

The formula for a circle is πr^2.

πr^2 = 28.26

3.14 * r^2 = 28.26

r^2 = 9

r = plus or minus 3.

But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.

The formula for the circumference is 2πr.

2 * 3.14 * 3 = 6 * 3.14 = 18.84.

So, the circumference of the circle is 18.84 meters.

Hope this helps!

3 0
3 years ago
An object has been thrown straight up into the air. The formula h = vt - 16t^2 gives the height of the object above the ground a
Oxana [17]

Answer:

8 seconds.

Step-by-step explanation:

To solve this question, we need to find the time, t, when h = 0, that is, when the height of the object above the ground is 0 feet.

Substituting v = 128 feet per second and h = 0 gives  the quadratic:

0 = 128t - 16t^{2}

Since 128 is divisible by 16, it can be reduced to 0 = 16(8t - t^{2}).

We must now solve for t.

We can easily see that one answer to the equation is 0,

8(0) - (0)^{2} = 0 (we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.

The second answer, t = 8 is also easy to see by inspection:

8(8) - (8)^{2} = 0.

Therefore the object lands 8 seconds after it is thrown.

6 0
3 years ago
Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a
olchik [2.2K]

Answer:

option (b) 0.0228

Step-by-step explanation:

Data provided in the question:

Sample size, n = 100

Sample mean, μ = $20

Standard deviation, s = $5

Confidence interval = between $19 and $21

Now,

Confidence interval = μ ± z\frac{s}{\sqrt n}

thus,

Upper limit of the Confidence interval = μ + z\frac{s}{\sqrt n}

or

$21 =  $20 + z\frac{5}{\sqrt{100}}

or

z = 2

Now,

P(z = 2) = 0.02275                       [From standard z vs p value table]

or

P(z = 2) ≈ 0.0228

Hence,

the correct answer is option (b) 0.0228

3 0
3 years ago
Can someone double-check whether I am right or wrong?
Ludmilka [50]
You’re right, both of the pairs are similar
4 0
2 years ago
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 6363 ​st
attashe74 [19]

Answer:

  • 1 bus, 72 vans
  • $6960 is the minimum cost

Step-by-step explanation:

A bus costs over $19 per student; a van costs less than $12 per student. The required number of students could be transported by 81 vans, but that requires 81 chaperones.

Since there are only 80, and a bus requires fewer chaperones per student, we can reduce the number of required chaperones to an acceptable level by employing one bus. 1 bus replaces 9 vans, and requires 1 less chaperone than 9 vans.

The minimum cost is 1 bus and 72 vans. That cost is $1200 +72×$80 = $6960.

3 0
3 years ago
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