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umka2103 [35]
3 years ago
11

Plz answer will mark brainliest

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

Step-by-step explanation:

w and d are the width and diagonal, respectively.

w = d/2 + 1 = (d+2)/2

Pythagorean theorem

w^2 + 8^2 = d^2

substitution

(d+2)^2/4 +64 = d^2

(d+2)^2 + 256 = 4d^2

d^2+4d+4 + 256 = 4d^2

3d^2-4d-260 = 0

Quadratic formula

d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3

-26/3 is an extraneous solution, so d = 10 inches

w=d/2 +1 =6 inches

Ant‘s path = 8+6 = 14 inches

Beetle’s path = 10 inches

14 < 1.5(10)

Ant reaches food first.

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Solve w2+13w+42=0 by factoring.
Lesechka [4]

Answer:

w = -7, -6

Step-by-step explanation:

Solve the equation by factoring:

(w+7)(w+6) = 0

Set each parenthesis equal to zero, and solve for w:

w = -7, -6

Hope this helps!

-EmV

7 0
3 years ago
Read 2 more answers
A basket contains four apples, three peaches, and four pears. You randomly select and eat three pieces of fruit. The first piece
Artist 52 [7]
We have 4 apples, 3 peaches, and  4 pears.
The sample size is 11.

1st selection: apple
The probability of selecting an apple is 4/11.

2nd selection: peach
We now have a sample size of 10, which consists of 3 apples, 3 peaches, and 4 pears.
The probability of selecting a peach is 3/10.

3rd selection: peach
We now have a sample size of 9, which consists of 3 apples, 2 peaches, and 4 pears.
The probability of selecting a peach is 2/9.

Each selection was an independent event. Therefore the overall probability is
(4/11)*(3/10)*(2/9) = 4/165

Answer:
The probability of selecting an apple followed by 2 peaches is 4/165.
 This probability is equivalent to 0.024 or 2.4%.

8 0
4 years ago
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Find the area of this figure
kherson [118]

Step-by-step explanation:

well, I see one large rectangle (20×6), and 2 small triangles with their horizontal sides being (20-8-6)/2 = 3 m. and their vertical joined side being 10-6 = 4 m.

the total area is simply the sum of the rectangle and the 2 triangles.

the rectangle is

20×6 = 120 m²

each triangle is

4×3/2 = 2×3 = 6 m²

we have 2 of them, so their combined area is 2×6 = 12 m².

the total area is

120 + 12 = 132 m²

7 0
2 years ago
An object is traveling around a circle with a radius of 6 inches. If in 30 seconds a central angle of 1/6 radians is swept out,
vichka [17]
<span> RdΘ/dt = v </span>
<span>dΘ/dt = (1/3)/20 = 1/60 rad/sec </span>
<span>5(1/60 ) = 5/60 cm/sec = 1/12 cm/sec </span>

<span>Angular Speed = dΘ/dt = 1/60 rad/sec </span>
<span>Linear Speed = RdΘ/dt = 1/12 cm/sec </span>
6 0
3 years ago
Write 2 4/7 as an improper fraction
laila [671]
Multiply 2 by 7, which is 14, and add it to the 4 in the numerator. The fraction becomes 18/7
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