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Ratling [72]
2 years ago
8

For the given right triangle, find the value x to the nearest tenth:​

Mathematics
1 answer:
Shtirlitz [24]2 years ago
6 0

Answer:

x = 45.6

Step-by-step explanation:

cos 58 = x/86

86 cos 58 = x

x = 45.6

You must memorize the definitions of the trig functions and these problems will be easy for you.  OK?  

For example, cos of an angle = adjacent side/hypotenuse

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You are 5 dollars in debt. You borrow 12 dollars more. What is the total amount of your debt?
Masja [62]

Answer:

17

Step-by-step explanation:

You already owe 5 dollars and if you borrow 12 more, you have to pay that back later. You just add 5 and 12 and get 17.

7 0
3 years ago
Read 2 more answers
5. How many solutions will the following system of equations have?<br> y = -x +4<br> x² + y² = 16
alekssr [168]

Answer:

x = 0 and y = 4

x = 4 and y = 0

thus: 2 solutions

Step-by-step explanation:

8 0
3 years ago
Given: △DMN, DM=10 3 m∠M=75°, m∠N=45° Find: Perimeter of △DMN
OlgaM077 [116]

Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...

... 30-60-90: 1 : √3 : 2

... 45-45-90: 1 : 1 : √2

The long side of ΔMDX is 10√3, so the other two sides are

... MX = MD(√3/2) = 15

... DX = MD(1/2) = 5√3

The short side of ΔMNX is MX = 15, so the other two sides are

... NX = MX(1) = 15

... MN = MX(√2) = 15√2

Then the perimeter of ΔDMN is ...

... P = DM + MN + NX + XD

... P = 10√3 +15√2 + 15 + 5√3

... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN

5 0
3 years ago
William bought some tickets to see his favorite singer. He bought some adult tickets and some children’s tickets, for a total of
Fantom [35]
Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.
8 0
3 years ago
The quotient of two and five times a number
trasher [3.6K]
Answer: 2 / 5x
Explanation:
8 0
3 years ago
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