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3 years ago

Choose Yes or No to tell if 10' will make each equation true.

Mathematics

2 answers:

natka813 [3]3 years ago

7 0

Answer:

Step-by-step explanation:

ddda

Gwar [14]3 years ago

4 0

No 10 doesn’t work

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Evaluate the expression 2a + 3b + 6 when a=2 and b=4

Vitek1552 [10]

Answer:

22 or 4+12+6

Step-by-step explanation:

Since A is equal to 2, times 2 by 2 and get 4

Since B= 4 you times 3 by 4 and get 12

4+12 is 16

16 plus 6 is 22

5 0

3 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

3 years ago

Jack mails 10 packages that each weigh the same amount. If the combined weigh of all 10 package is 67 1/2 pounds, how much does

kykrilka [37]

The answer is 6.75, I hope this helped

7 0

4 years ago

A drinking glass has a height of 4 inch a length of 2 and a width of 2 inch while a baking pan has a width of 4 inch a length of

Alex Ar [27]

The answer would be two glasses

5 0

3 years ago

Nessa had $50 n her savings and it increased by 20%. How much money is in her account?

vredina [299]

Answer:

$60

Step-by-step explanation:

If it is increasing annually then next year the savings will be $50+20% of $50

=>$50+$10

=>$60

4 0

3 years ago

Read 2 more answers