Answer:
35.5
Step-by-step explanation:
H, A
Cos=A/H
Cos 65= 15/x
x=15/cos 65
Multilpy 4x to 4x
Multiply -5 to +5
the answer you will get is... 16x-25
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
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Answer:
The length of b is 6.7
Step-by-step explanation:
You have way too many unknowns to do much of anything with this. The only way out is to use one of the three geometric means formulas for right triangles. The one that applies here is
![y^2=a+b](https://tex.z-dn.net/?f=y%5E2%3Da%2Bb)
and since a + b = 15,
![y^2=15](https://tex.z-dn.net/?f=y%5E2%3D15)
and ![y=\sqrt{15}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B15%7D)
Now we look to the right triangle that contains the base b. It has a given angle of 30 degrees, and now we know the side length across from the 30 degrees, we have to think of the trig ratio that relates an angle to the side opposite that angle and to the side adjacent to that angle. That's the tangent ratio. As follows:
![tan(30)=\frac{\sqrt{15} }{b}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7B%5Csqrt%7B15%7D%20%7D%7Bb%7D)
and solving for b:
![b=\frac{\sqrt{15} }{tan(30)}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B%5Csqrt%7B15%7D%20%7D%7Btan%2830%29%7D)
Do this in degree mode in your calculator and you'll get that b = 6.7
Answer:
138 fluiere, 158 ocarine, 184 viori
Step-by-step explanation:
given:
(1) fluiere + ocarine +viori = 480
(2) fluiere + ocarine =296
(3) ocarine + viori =342
din ecuatia (3) avem: viori= 342-ocarine
din ecuatia(2) avem : fluiere= 296-ocarine
in ecuatia (1) inlocuieste ce ai gasit ca sa fie o ecuatie doar cu necunoscuta ocarine: fluiere + ocarine +viori = 480
296-ocarine +ocarine+ 342-ocarine =480
296+342-480 = ocarine =158
viori = 342-158 = 184
fluiere = 296-158 = 138