Answer:
8/9
Step-by-step explanation:
3/6 + 7/ 18
Make the denominator common by finding the LCM = 18
Multiply 3 by 3
Therefore sum = 3*3 + 7/ 18
sum = 9+7/18
sum = 16/18
=> 8/9
Please mark my answer as the brainliest for further answers :)
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
![\tan\theta=\dfrac{\sin\theta}{\cos\theta}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7B%5Csin%5Ctheta%7D%7B%5Ccos%5Ctheta%7D)
Here, θ is the angle.
The value of angle given in the problem are,
- Cosine a = 0.352
- Sine a = 0.936.
Put these values in the above fromula as,
![\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659](https://tex.z-dn.net/?f=%5Ctan%20%28a%29%3D%5Cdfrac%7B%5Csin%28a%29%7D%7B%5Ccos%28a%29%7D%5C%5C%5Ctan%20%28a%29%3D%5Cdfrac%7B0.936%7D%7B0.352%7D%5C%5C%5Ctan%28a%29%3D2.659)
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
brainly.com/question/24349828
<u>Answer:</u>
The amount of fabric needed to cover the pyramid is
.
<u>Step-by-step explanation:</u>
Given, the lantern is in the shape of a square pyramid. And the lantern has to be covered by a fabric. So, the amount of fabric needed to cover the lantern can be calculated by the following formula,
where p is the perimeter of the base of the pyramid and l is the slant height.
Since, it is given that it is a lantern, the area to be covered with the fabric is its L.S.A (Lateral Surface Area) leaving the base where the lamp is lit. So, the L.S.A of the pyramid is equal to the amount of fabric required to cover the lantern.
Answer:
x = 4
y = 6
z = 5
Step-by-step explanation:
Let
bags of pecans = x
bags of walnuts = y
bags of almonds = z
x + y + z = 15
3x + 3.5y + 4z = 53
Two more bags of walnuts were sold than pecans.
Walnuts = x + 2
x + y + z = 15
3x + 3.5y + 4z = 53
x + x + 2 + z = 15
3x + 3.5(x+2) + 4z = 53
2x + z = 15 - 2
3x + 3.5x + 7 + 4z = 53
2x + z = 13 (1)
6.5x + 4z = 46 (2)
Multiply (1) by 4
8x + 4z = 52 (3)
6.5x + 4z = 46 (2)
Subtract (2) from (3)
8x - 6.5x = 52 - 46
1.5x = 6
Divide both sides by 1.5
x = 4 bags
y = x + 2
= 4 + 2
= 6
y = 6 bags
Substitute the value of x into (1)
2x + z = 13 (1)
2(4) + z = 13
8 + z = 13
z = 13 - 8
= 5
z = 5 bags
Check:
x + y + z = 15
4 + 6 + 5 = 15
Answer:
Step-by-step explanation:
Use the rise over run formula
y2-y1/x2-x1
1992-1990/3317-3038
2/-279
-139.5