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denis-greek [22]
3 years ago
15

Question in screenshot

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

∠ A ≈ 24.1°

Step-by-step explanation:

Using the law of sines , then

\frac{9}{sinA} = \frac{21}{sin72} ( cross- multiply )

21 × sinA = 9 × sin72° ( divide both sides by 21 )

sinA = \frac{9sin72}{21} , then

∠ A = sin^{-1} ( \frac{9sin72}{21} ) ≈ 24.1° ( to the nearest tenth )

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Which rule explains why these triangles are congruent?​
Nina [5.8K]

Answer:

SSS

Step-by-step explanation:

You can tell by the 2 dashes side and the one dash if that makes sense

6 0
3 years ago
Read 2 more answers
Write the equation in standard form of a circle with center (-7,2), tangent to the y-axis.
Vesna [10]

Answer:

(x+7)^2+(y-2)^2=7^2

Step-by-step explanation:

Tangent to y-axis means that the side of the circle TOUCHES the y axis.

Since the center is at (-7,2) and it touches the y axis, we can figure out the radius. It goes from (-7,2) to y-axis. Horizontally, the center is 7 units left of y-axis, so that is the radius -----  7 units

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where

(h,k) is the center

r is the radius

Putting the information into the form, we have:

(x-h)^2+(y-k)^2=r^2\\(x-(-7))^2+(y-(2))^2=7^2\\(x+7)^2+(y-2)^2=7^2

THis is the standard form.

7 0
3 years ago
Solve 47 (math operation)
Alchen [17]

Answer:

  t ≈ -2.014 or 3.647

Step-by-step explanation:

Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.

  4.9t² -8t -36 = 0

You can divide by 4.9 to make this a little easier to solve.

  t² -(8/4.9)t -36/4.9 = 0

Now, add and subtract the square of half the x-coefficient to "complete the square."

  t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0

  (t -4/4.9)² -192.4/4.9² = 0 . . . . simplify

Add the constant term, then take the square root.

  (t -4/4.9)² = 192.4/4.9²

  t -4/4.9 = ±(√192.4)/4.9

  t = (4 ± √192.4)/4.9

  t ≈ {-2.014, 3.647}

8 0
3 years ago
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are dri
Minchanka [31]

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.

The standard errors are given by:

s_A = \frac{1.79}{\sqrt{18}} = 0.4219

s_B = \frac{1.95}{\sqrt{18}} = 0.4596

For the distribution of differences, the <u>mean and the standard error</u> are given by:

\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76

s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239

The interval is given by:

\overline{x} \pm ts

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.

Then:

\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058

\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

3 0
3 years ago
Can anybody figure this question out cause I can't figure it out​.
Kazeer [188]

Answer:

there is no change because it is a circle

4 0
3 years ago
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