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lesantik [10]
2 years ago
13

A dartboard has 8 sections of equal area. The letters represent colors red (R), yellow (Y), blue (B), and green (G). Complete th

e probability distribution for a dart that hits the board at a random location.
Red: 1/8
Yellow:?
Green: 3/8
Blue: 1/8
Mathematics
2 answers:
Jet001 [13]2 years ago
6 0

Answer:

3/8

Step-by-step explanation:

If you add the top number of all the fractions you get 5. You need to get to 8, 8-5=3 so that means yellow has to be 3/8.

Dahasolnce [82]2 years ago
3 0
2/8 or 1/4 because 1/8+1/8+3/8=6/8 and 8/8-6/8=2/8 or 1/4
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A church spire casts a shadow on the level ground. At the tip of the shadow, the tip of the spire lies 25° upward. Walking 100 m
malfutka [58]

Answer:

The height of the spire must be 69.24 m

Step-by-step explanation:

The information given are;

The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°

The  angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°

The change distance moved closer to the church spire = 100 m

Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°

We have;

∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)

Therefore;

∠x° = 180° - 55° = 125°

The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow

Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y

Therefore;

125° + y° + 25° = 180 (Angle sum theorem)

y° = 180° - (125° + 25°) = 30°

By sin rule, we have;

100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))

Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l

100/(sin (30°)) = l/(sin(125°))

l = (sin(125°))×100/(sin (30°)) = 163.83 m

The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m

The height of the spire = 69.24 m.

4 0
2 years ago
A rectangle is 9 ft long and 40 in. wide. What is its area in square feet? (Note: 1 ft = 12 in.)
ivolga24 [154]

Answer: first option

Step-by-step explanation:

Let's make the following conversion:

40 inches to feet (Knowing that 1 feet=12 inches):

(40in)(\frac{1ft}{12in})=3.333ft

The formula for calculate the are of  a rectangle is:

A=l*w

Where l is the lenght and w is the width.

Therefore, when you substitute values, you obtain the following result:

l=9ft\\w=3.33ft\\\\A=(9ft)(3.333ft)\\A=30ft

4 0
2 years ago
Read 2 more answers
In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), p
geniusboy [140]

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

P=WX+XY+YZ+WZ

You know the lenght of the side WZ. This is:

WZ=\sqrt{26}\ units

Notice that:

XY=WZ=\sqrt{26}\ units

Now, you must find the lenghts of the sides WX and YZ (WX=YZ)

Observe that WZ goes from 2 to -2, therefore its lenght is:

WX=YZ=2-(-2)=4\ units

Therefore, substituting values, you get that the perimeter of the paralellogram is:

P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units

3 0
2 years ago
Read 2 more answers
There are 399 items advertised in a catalog. If the catalog is 75 pages long, what is the average number of items per page?
sukhopar [10]

Answer:

Step-by-step explanation:

Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page

5 0
2 years ago
In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent
Vaselesa [24]
Step 1: convert the equation into fhe vertex form

To do you can complete squares:

y = - [x^2 + 4x + 3]

y = - [ (x + 2)^2 - 4 + 3]

y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1

Then the vertex is (-2, 1)

Now you can drasw the vertex


Step 2: Find the roots (zeros)

y = - [ (x + 2)^2 - 1] = 0

(x + 2)^2 - 1 = 0

(x+2)^2 = 1

(x+2) = (+/-) √1

x + 2 = (+/-1)

x = - 2 +/- 1

x = -1 and x = -3

Now you draw the points (-1,0) , (-3,0)

Step 3: find the interception with the y-axis.

That is y value when x = 0

y = - (0)^2 - 4(0) - 3 = -3

Then draw the point (0, -3)

Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.

So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
7 0
2 years ago
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