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ZanzabumX [31]
2 years ago
11

Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm

er the nail 4 Times how deep did Annalee hammer the nail?
Mathematics
1 answer:
mash [69]2 years ago
3 0

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances \frac{1}{8}\ inch  each time

Annalee hammered 4 times

So, total advancement of nail= 4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch

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An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane f
Ganezh [65]

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

8 0
3 years ago
the length of a rectangular label is 2.5 cm less than twice the width. the perimeter is 40.6 cm. find the width.
Aleksandr [31]
Let the width be w, then the length is 2w - 2.5.
Perimeter = 2(length + width)
40.6 = 2(2w - 2.5 + w) = 2(3w - 2.5)
3w - 2.5 = 40.6/2 = 20.3
3w = 20.3 + 2.5 = 22.8
w = 22.8/3 = 7.6

Therefore, width is 7.6 cm.
3 0
3 years ago
Which is the only center point that lies on the edge of a triangle?
Alekssandra [29.7K]

Answer:

Circumcenter of a right triangle is the only center point that lies on the edge of a triangle. Step-by-step explanation: Circumcircle is the circle that passes through all three vertices of the triangle.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
fifteen out of the 60 eighth-graders at sebring junior high are on the track team. what percent of the eight-graders are on the
allsm [11]

Answer:

25%

Step-by-step explanation:

You have 60 total, 30 on the track team would be 50%,  but there is only 15 on the track them, you cut the 50% in half again which gives 25%.

8 0
3 years ago
the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.
laila [671]
L=(8/3)W = 24 ft.  Solving for W, we mult. both sides of this eqn by (3/8), obtaining

W = (3/8)(24 ft) = 9 ft (answer)
4 0
3 years ago
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