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3 years ago

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who has four pieces of wood the links of her pieces of wood or one-third foot 2/5 foot 3/10 foot and 1/4 foot which piece of woo

d is the shortest

1 answer:

charle [14.2K]3 years ago

5 0

1/4 is the shortest all you have to do is multiply 2/5 by 4, 3/10 by 2, and 1/4 by 5

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Kim is watching a space shuttle launch from an observation spot 2 miles away. Find the angle of elevation from Kim to the space

hammer [34]

Answer:

<h2><em>46.4°</em></h2>

Step-by-step explanation:

Find the diagrammatic representation in the attachment given.

We can see that the diagram is a right angled triangle. To get the angle of elevation, we will use one of the trigonometry identity SOH, CAH, TOA.

Given the adjacent of the triangle to be 2miles (observation spot from the point of launch)and the opposite (side facing the elevation angle) as 2.1miles (the height), we will use TOA.

tan∅ = opposite/adjacent

tan∅ = 2.1/2

tan∅ = 1.05

∅ = tan⁻¹1.05

∅ = 46.4°

<em>Hence the angle of elevation from Kim to the space shuttle, which is at a height of 2.1 miles is approximately 46.4°</em>

5 0

3 years ago

What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv

Gnoma [55]

Answer:

The equation of line is:

$8x-9y=-23$

Step-by-step explanation:

We are given that a graph is a that passes through two points:

$(-4,-1)$ and $(\dfrac{1}{2},3)$

We know that the equation of line passing through two points:

$(a,b)$ and $(c,d)$ is given by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Here we have:

$(a,b)=(-4,-1)$ and $(c,d)=(\dfrac{1}{2},3)$

Hence, the equation of line is:

$y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23$

Hence the equation of line is:

$8x-9y=-23$

5 0

2 years ago

Select the scenario below that demonstrates sampling bias. Select the correct answer below:

Vsevolod [243]

Answer:

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

Step-by-step explanation:

Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.

'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.

Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance. Hence, this is Sampling Bias

7 0

3 years ago

Mr. Dash recorded the odometer

Ahat [919]

Answer:

$47.69

Step-by-step explanation:

<u>Total miles per trip:</u>

23219.1 - 23125.6 = 93.5 miles

<u>Amount reimbursed:</u>

93.5*$0.51 = $47.69

6 0

3 years ago

beeswax used in making candles is produced by honeybees. the honeybees produce 7 pounds of honey for each pound of wax they prod

Verdich [7]

145 divided by 7 =20.71
a little sketch on my answer <span />

6 0

3 years ago

Read 2 more answers