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3 years ago

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The label on a can of lemonade gives the volume of 12 fl oz. or 355 mL. Verify that these two measurements are nearly equivalent

. What’s the answer? Plz help!!

1 answer:

babymother [125]3 years ago

5 0

The label on a can of lemonade gives the volume as 12 fl oz , or 355 ml .verify that these two measurements are nearly equivalent

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Write a number that is greater than 8.604 but less than 8.643

Aliun [14]

8.605
This number is bigger than 6.604 and it is smaller than 8.643
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3 years ago

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Does anybody know the answer?

kirill [66]

Answer:

y+48=90

y= 90-48

y= 42

Step-by-step explanation:

ok

by using the property

sum of two opposite interior angles of triangle is equal to exterior angle

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2 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:

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

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

2 years ago

Plz help due soon

Zina [86]

Answer:

D

Step-by-step explanation:

6% of 40 is 2.4, 40.00+ 2.40=42.40

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2 years ago

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What is the value of x?

N76 [4]

Answer:

x=5

Step-by-step explanation:

$\frac{x}{30}=\frac{4}{24}$

$\frac{x}{30}=\frac{1}{6}$

$x=\frac{1\times30}{6}$

$x=\frac{30}{6}$

$x=5$

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3 years ago