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Furkat [3]
4 years ago
12

​1.​A parking lot has the shape of a rectangle. A scale drawing for the parking lot measures 6 cm by 20 cm. ​​The scale is 1 cm

: 15 m. Find the area of the parking lot.
Mathematics
1 answer:
Alex73 [517]4 years ago
3 0
L*w=6*20
6*15= 90m
20*15=300m
l*w= 90*300=27000m <-- area
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A stack of seven different cards are shuffled and spread out face down if three cards are turned face up how many different thre
Anton [14]
<h2>Answer:35 ways</h2>

Step-by-step explanation:

^nC_{k} is the number of ways of choosing k distinct objects from a lot of n distinct objects.

In the given question,

n=7\\k=3\\

^nC_{k}=\frac{n!}{(n-k)!k!}

So,^7C_{3}=\frac{7!}{3!4!}=\frac{210}{6}=35

So,there are 35 ways in which three distinct cards can be selecte from seven distinct cards.

3 0
3 years ago
How high is a tree that casts a 25 ft shadow at the same time a 7ft pole casts a shadow which is 4 ft long?
Olegator [25]

Answer:

x=12

Step-by-step explanation:

height of tree)/(shadow length of tree) = (height of pole)/(shadow length of pole)

x/26 = 6/13

13x = 26*6

13x = 156

x = 156/13

x = 12

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4 0
3 years ago
when solving an equation, which is the best first step to begin to simplify the equation? -2(x+3)=-10​
alekssr [168]

Answer: Following the rules of PEMDAS, you want to divide both sides of the equation by -2. This would change your equation to x+3=5. Then you move your constant to the right-hand side and change its sign. Your equation is now x=5-3. subtract 5-3 and your answer is x=2.

6 0
3 years ago
What is the perimeter of the triangle? Round to the nearest tenth.
Cerrena [4.2K]

Answer: 19.8 Units

Step-by-step explanation:

The triangle is shown in the attached figure, and have three vertices: AB, AC and BC.

Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.

In this sense, the modulus m is calculated as shown:

m=\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}

Hence, for each vector:

AB=\sqrt{(-2-3)^{2} + (3-0)^{2}}=\sqrt{34}

AC=\sqrt{(-2-(4))^{2} + (3-(-3))^{2}}=\sqrt{40}

BC=\sqrt{(-4-3)^{2} + (-3-0)^{2}}=\sqrt{58}

Now, the perimeter of a triangle is the sum of its three sides:

AB+AC+BC=\sqrt{34} + \sqrt{40} + \sqrt{58}

Finally:

AB+AC+BC=19.77 \approx 19.8

6 0
4 years ago
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