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natta225 [31]
3 years ago
12

Find the value of the expression

Mathematics
1 answer:
Cloud [144]3 years ago
6 0
The value of expression is 41
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A dinner platter is in the shape of a regular decagon the platter has an area of 161 in.² and a side length of 4.6 inches what's
cupoosta [38]
Number of sides= 10
Side length= 4.6 ( or in this case base)

161 sq inches / 10 = 16.1 area of triangle.

Area of triangle =(b<span>ase * </span>height)/2 

16.1=(4.6*h)/2
multiply 16.1 by 2 (cancels the dividing the 2)

32.2=4.6*h
divid 32.2 by 4.6

<span>7 is the height of the triangle</span>
5 0
3 years ago
Find the length of line segment UV.
pshichka [43]

Answer:

The length of the line segment UV is 76 units

Step-by-step explanation:

In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

In Δ ONT

∵ U is the mid-point of ON

∵ V is the mid-point of TN

→ That means UV is joining the mid-points of two sides

∴ UV // OT

∴ UV = \frac{1}{2} OT

∵ UV = 7x - 8

∵ OT = 12x + 8

∴ 7x - 8 = \frac{1}{2} (12x + 8)

→ Multiply the bracket by \frac{1}{2}

∵ \frac{1}{2} (12x + 8) =  \frac{1}{2} (12x) +  \frac{1}{2} (8) = 6x + 4

∴ 7x - 8 = 6x + 4

→ Add 8 to both sides

∴ 7x - 8 + 8 = 6x + 4 + 8

∴ 7x = 6x + 12

→ Subtract 6x from both sides

∴ 7x - 6x = 6x - 6x + 12

∴ x = 12

→ Substitute the value of x in the expression of UV to find it

∵ UV = 7(12) - 8 = 84 - 8

∴ UV = 76

∴ The length of the line segment UV is 76 units

8 0
3 years ago
Samuel must choose a 4-digit PIN number. The first 2 digits must be numbers cannot repeat. The 3 and 4th digits are letters that
tatuchka [14]
(A. 58,500

Answer
A
A
7 0
3 years ago
In April, 287 people visited an amusement park. In May, 379 people visited the same amusement park. In June, twice as many peopl
Mariulka [41]

Answer:

1332 i think

Step-by-step explanation:

287+379=666

666*2=1332

3 0
3 years ago
Find the diameter and the circumference of the circle below r=8cm
vfiekz [6]

Answer:

diameter = 16cm, circumference ≈ 50.27

Step-by-step explanation:

The radius is 8 centimeters, so the diameter should be twice of that because the radius is the distance from the middle of the circle to the edge while the diameter is from edge to edge passing through the middle of the circle. Therefore,

8 · 2 = 16cm

The equation for the circumference of a circle is 2πr. In this case, because nothing else is specified about π, we use 3.14. So,

2 · 3.14 · 8 ≈ 50.27

Hope this helped! Have a great day. ^^

3 0
2 years ago
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