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Step2247 [10]
3 years ago
5

A drawing of the flag of puerto rico is shown below. Assume that the triangle in the flag is isosceles as shown

Mathematics
1 answer:
torisob [31]3 years ago
4 0
63 

You take 180 subtract 54 and divide it by 2 that gives you the answer.

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I’m trying to correct this problem but I don’t know how can someone help me
BartSMP [9]

Remark

It is not a straight line distance from the park to the mall. None of the answers give you that result. And if you know what displacement is, none of the answers are really displacement either. The distance is sort of a "as the crow flies." distance. There's a stop off in the middle of town.

Method

You need to use the Pythagorean Formula twice -- once from the park to the city Center and once from the city center to the mall.

Distance from the Park to the city center.

a = 3   [distance east]

b = 4  [distance south]

c = ??

c^2 = 3^2 + 4^2        Take the square root of both sides.

c = sqrt(3^2 + 4^2)

c = sqrt(9 + 16)          Add

c = sqrt(25)

c = 5

So the distance from the park to the city center is 5 miles

Distance from City center to the mall

a = 2 miles [distance east]

b = 2 miles [distance north]

c = ??

c^2 = a^2 + b^2   Substitute

c^2 = 2^2 + 2^2   Expand this.

c^2 = 4 + 4

c^2 = 8             Take the square root of both sides.

sqrt(c^2) = sqrt(8)

c = sqrt(8)          This is the result

c = 2.8

Answer

Total distance = 5 + 2.8 = 7.8

6 0
3 years ago
Amir is building a birdhouse that looks like a castle. The diagram shows the roof of the birdhouse. He plans to paint the roof r
Amiraneli [1.4K]

Answer:

The surface area is 0.64\ m^{2}

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces.

so

SA=b^{2}+4[\frac{1}{2}(b)(l)]

we have

b=0.4\ m

l=0.6\ m

substitute the values

SA=0.4^{2}+4[\frac{1}{2}(0.4)(0.6)]=0.64\ m^{2}

4 0
3 years ago
Read 2 more answers
Write the equation of the line that contains the points (4, −7) and (1, 5). The slope of the line that contains the points (4, −
deff fn [24]
Slope = (5+7)/(1-4) = 12/-3 = -4

slope = -4

y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9

equation
y = -4x + 9
4 0
2 years ago
Read 2 more answers
An 8-pack of water bottles costs $6.80. What is the unit price?<br> per bottle
GalinKa [24]

Answer:

0.85

Step-by-step explanation:

6.80 divied by 8

4 0
2 years ago
Read 2 more answers
At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow that is 28 feet long.
Thepotemich [5.8K]

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}

Then, we can solve for H in the equation:

\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft

4 0
2 years ago
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