Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?

Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle

mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

$sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}$
$cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}$
$tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}$

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ $tan(x)=\frac{XZ}{XY}$

∴ $tan(x)=\frac{10}{12}$

- To find x use the inverse of tan(x)

∵ $x=tan^{-1}(\frac{10}{12})$

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple o

Scrat [10]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, some of the data is missing, that's why this question can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

$Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0$

When there are Several perfect solutions then the equation is:

$Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0$

When there is also no solution, since it is unlikely then the equation is:

$Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0$

When there is no best solution since it is unbounded then the equation is:

$Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\$

6 0

1 year ago

I need help asapppp!!!!!!!

monitta

Answer:=15x^2+250x

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

Please answer it would help me a lot

Deffense [45]

Find if all the ratios are proportional to 1:8. 2:16 is, so is 3:24, and 4:32. 4.5*8=36, and 5:40 is proportional. 6:48 is, and 6.5*8=52. The table is proportional, just divide the pay by the hours and you should be getting 8.

5 0

2 years ago

Kristin has 4 more headbands than Nikki does. Together they have 30 headbands. The equation h + (h+ 4) = 30 can be used to

mojhsa [17]

Answer:

A) H+4

Step-by-step explanation:

I do this in a different way, but i'll do it in both

Mine:

30 ÷ 2 = 15

4 ÷ 2 = 2

15+2, 15 -2

17, 13

Kristen Has 17

Yours:

h+(h+4)=30

-4 -4

h+h = 26

2h = 26,

h = 13, Back to the equation, use 13 as a sub. for all the h's

13+(13+4) = 30

13 + 17 = 30

Hope this helps!

3 0

2 years ago

Read 2 more answers