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3 years ago

PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.

Mathematics

1 answer:

hammer [34]3 years ago

5 0

Answer:

13 True

14 Sometimes

15 Never

Step-by-step explanation:

All equilateral triangles must have 60 degree angles

Sometimes a acute triangle can have 2 acute angles

Obtuse angles take up majority of the mesuares in the triangle. All triangles must have 3 angles equal up to 180 degrees

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Please help :c How do I convert 19.3g/mL to lb/in^3? (manually) I tried to so 19.3g (453.592lb)/1g but I'm not sure how to chang

Alecsey [184]

1 pound = 453.59237 grams
1 cubic inch = 16.387064 milliliters

19.3 grams * 1 pound / 453.59 grams = 0.0425494389 pounds

1 cubic inch * 16.387
 0.0425494389 * 16.387 = 0.6972576553 pounds / cubic inch

3 0

3 years ago

Determine if the following table represents a quadratic function.

snow_tiger [21]

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:- 1 || 2 || 3 || 4 || 5

y:- 13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

$Difference = 22 - 13 = 9$

$Difference = 37 - 22 = 15$

$Difference = 58 - 37 = 21$

$Difference = 85 - 58 = 27$

The resulting difference are: 9 || 15 || 21 || 27

Next; Calculate the difference between the difference of values of y

$Difference = 15 - 9 = 6$

$Difference = 21 - 15 = 6$

$Difference = 27 - 21 = 6$

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

7 0

4 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

6 0

3 years ago

Two integers, a and b, have a product of 24. What is the least possible sum of a and b?

rjkz [21]

The least possible sum is 10.

The pairs of factors for 24 are (1,24), (2,12), (3,8), (4,6) with sums 25, 14, 11, 10. So the numbers are 4 and 6.

6+4

7 0

4 years ago

Which of the following is a characteristic of the circumcenter of a triangle? A. It is the center of the circle that can be insc

ki77a [65]

Answer is A. It is the center of the circle that can be inscribed in a given triangle
Explanation
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

6 0

2 years ago