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3 years ago

3. Find the measure of x. a 18° b. 54° C 126 d. 45

Mathematics

2 answers:

Nataliya [291]3 years ago

6 0

Answer:

18 degrees

Step-by-step explanation:

The triangle is an iscoceles right triangle.

The angles in a triangle add up to 180.

90+2y (iscoceles) =180

2y=90

y=45

So the angles of the right triangle are 45. However, you have to take away 27 because you are solving for only a part of 45. 45-27=18

weqwewe [10]3 years ago

5 0

Simple 18 degrees, when you find the measure of x and find the Isosceles triangle

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FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

3 0

3 years ago

Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0

Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16 - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1 (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0

2 years ago

Compare the fractions. Which fractions is larger? (Your answer should be

lord [1]

Answer:

4/7

Step-by-step explanation:

4/7 = 36/63 - bigger

5/9 = 35/63

5 0

3 years ago

97 square inches to the nearest tenth

kupik [55]

97 Rounded to the nearest tenth would be 100

7 0

3 years ago

Read 2 more answers

A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standar

Vsevolod [243]

Answer:

This is a reasonable decision because the sample size has no effect on the 90% confidence interval

Step-by-step explanation:

90% confidence interval

larger sample size = 20

condition : sample mean ( x-bar ) is the same for both samples

<em>This is a reasonable decision because the sample size has no effect on the 90% confidence interva</em>l

<u>from condition 1 :</u>

Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%

<u>for condition 2 :</u>

sample size = 20

mean = 2.25 ( assumed value )

std = 0.15 ( assumed value )

Z = 1.645 ( Z-value )

determine the 90% confidence interval

= mean ± z $\frac{std}{\sqrt{n} }$

= 2.25 ± 1.645 $\frac{0.15}{\sqrt{20} }$

= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )

7 0

3 years ago