Answer:
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Step-by-step explanation:
a) 3x+2(41-5x)=33 as y=41-5x is given
3x+82-10x=33
-7x+82=33
-7x=33-82
-7x=-49 cut the negative signs as its LHS and RHS
x=49/7=7
b)-5x+3(3x-3)=3 as y=3x-3 is given
-5x+9x-9=3
4x-9=3
4x=3+9
x=12/4=3
c)4x+11-5x=9
-x+11=9
-x=9-11
-x=-2 cut the negative signs as its LHS and RHS
x=2
d) 5y+ -5-2y=-11 as x=-5-2y is given
3y+-5=-11
3y=-11+5
3y=-6
y=-6/3=-2
e)-5x-4(2x+1)=35 as y=2x+1
-5x-8x+4=35
3x+4=35
3x=35-4
3x=31
x=31/3
x=10.3
Answer: a) 4 b) Bachelor’s
Steps:
1000 * 4%
1000 * 0.04
40
1000 + x = 1160
x = 160
160 / 40 = 4
Went to school for 4 years
A 4 year college degree is a bachelor’s degree
The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=<span>πd.
On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2</span><span>πr.
C=2</span><span>πr
C=2(3.14)(3)
C=18.84 meters
The circumference of the given circle is 18.84 meters.</span>
The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;
This implies that
Divide both sides by 4 to get;
|WY|=|ZX|=13-3=10
