Answer: 132 degree
Step-by-step explanation:
X + 48 = 180
X = 180 - 48
X = 132 degree
Answer:
<u>The most simplified form is 15√10</u>
Step-by-step explanation:
1. Let's simplify the expression:
20√270 ÷ 4√3
20√9 * 30/ 4√3 (√270 = √9 * 30)
60 √30/ 4√3
(60 √3 * √10) / 4√3 (√30 = √3 * √10)
60/4 √10 ( We cancel √3 in the numerator and in the denominator)
15√10
<u>The most simplified form is 15√10</u>
Using right triangle relations, we will get:
- tan(B) = 1.05
- sin(B) = 0.735
- cos(B) = 0.7
<h3>
How to find the value of the trigonometric equations?</h3>
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
- tan(θ) = (opposite cathetus)/(adjacent cathetus).
- sin(θ) = (opposite cathetus)/(hypotenuse)
- cos(θ) = (adjacent cathetus)/(hypotenuse).
If we step on angle B, we have:
- opposite cathetus = 29.4
- adjacent cathetus = 28
- hypotenuse = 40.6
Replacing that, we get:
- tan(B) = 29.4/28 = 1.05
- sin(B) = 29.4/40.6 = 0.735
- cos(B) = 28/40.6 = 0.7
If you want to learn more about trigonometric functions:
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Answer:
The least of the three integers is 1.
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the least of these integers.
Let <em>x</em>+1 and <em>x</em>+2 be the next consecutive integers.
We're given that these integers have a sum os 6.
We can use these to construct an equation:

Combine like terms:

Therefore, the least of these integers is 1.
The other two integers would be 2 and 3.
I hope this helps!
<h3>The value of y is equal to 1.</h3><h3>The value of x is equal to 4.</h3>
Because both equations have a term that will cancel out if they're added together, we're going to add both equations together.
-5x + 5x = 0
13y + 4y = 17y
-7 + 24 = 17
17y = 17
Divide both sides by 17.
y = 1
Now that we have a constant value of y, we can solve for x.
-5x + 13(1) = -7
-5x + 13 = -7
Subtract 13 from both sides.
-5x = -20
Divide both sides by -5.
x = 4