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sashaice [31]
3 years ago
13

In △XYZ , XZ=11 , YZ=8 , and m∠Z=31∘ .

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

The area of the triangle is 22.7 units²

Step-by-step explanation:

The formula of the area of a triangle using trigonometry is A = \frac{1}{2} (a)(b) sin(C), where a , b are two sides in the triangle and C is the angle between these two sides

In Δ XYZ

∵ XZ = 11 units

∵ YZ = 8 units

∵ m∠Z = 31°

∵ ∠Z is between the two sides XZ and YZ

∴ We can use the formula above to find the area of Δ XYZ

∵ Area Δ XYZ = \frac{1}{2} (XZ)(YZ) sin(Z)

∴ Area Δ XYZ = \frac{1}{2} (11)(8) sin(31)

∴ Area Δ XYZ = 22.6616753 unit²

- Round it to the nearest tenth

∴ Area Δ XYZ = 22.7 units²

The area of the triangle is 22.7 units²

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Select the point that is a solution to the system if inequalities yx^2-6
labwork [276]

Answer:

The correct answer is A.

A(0,-2)

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, A(0,-2) falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

y\:

If we substitute A(0,-2), we get;

-2\:


-2\:


This statement is true.

The second inequality is

y\:>\:x^2-6

If we substitute A(0,-2), we get;

-2\:>\:(0)^2-6

This gives,

-2\:>\:-6

This statement is also true.



8 0
3 years ago
What is 4/2 in metres.​
Harlamova29_29 [7]
The answer is 0.5 metres.
4/2 = 1/2
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50cm = 0.5 metres.
5 0
3 years ago
A packet of 33 Marbles needs to be split between Gavin and Howard in the ratio of 5:6. How many marbles will each boy get. ​
Eduardwww [97]

Answer:

15 and 18

Step-by-step explanation:

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3 years ago
Jean junction is selling jeans at 15% off the regular price. The regular price is 25.00 per pair. What is the discount amount?
irga5000 [103]

Answer:

the discount is 3.75 and that subtracted is 22.25

Step-by-step explanation:

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5 0
3 years ago
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop
LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

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y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0
3 years ago
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