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padilas [110]
3 years ago
14

If Train A is moving 66 mph and is 456 miles from the station while Train B is moving 72 mph and is 502 miles away, which train

arrives at the station first?
Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer: train A arrives first

Step-by-step explanation:

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Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
Neporo4naja [7]

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = \frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})

                           = \frac{1}{2}(3.14)(10)^2+(40\times 20)

                           = 157 + 800

                           = 957 square feet

8 0
3 years ago
What is the midpoint M of that line segment?
pychu [463]

Answer:

Midpoint = (  (x1+x2)/2 , (y1+y2)/2 )

Step-by-step explanation:

Please upload the line segment otherwise, you can use the equation above to solve for it.

8 0
3 years ago
Read 2 more answers
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
What's is the area in square centimeters of the trapezoid
denis-greek [22]
I do not see the exact value, but this is the formula: A=\frac{1}{2}\left(b_1+b_2\right)h=\frac{\left(b_1+b_2\right)h}{2}
4 0
3 years ago
The length and width of a rectangle are in a 7:2 ratio. Find the width of the perimeter is 72.
scoray [572]
<span>length = 7x
</span><span>width = 2x

2(7x + 2x) = 72
7x + 2x = 72/2
9x = 36
x = 36/9
x = 4
</span>
width = 2x = 2 * 4 = 8 units<span>


</span>
7 0
3 years ago
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