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alukav5142 [94]
3 years ago
7

I just need to check if the answer I got is right cause I’m not sure. (7th grade)

Mathematics
1 answer:
zubka84 [21]3 years ago
3 0

Answer:

48 ft.

Step-by-step explanation:

Since triangles ABC and DEC are similar (you can prove this quite easily), then we know the ratio of the sides are equal. This is a property of similar triangles. So we take the ratio of the sides CE and DE and the ratios of the sidesBC and AB.

We get:

\frac{x}{40} = \frac{60}{50} \Rightarrow x = \frac{6}{5}\times 40 = 48.

So x is 48 ft.

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A trapezoid has the dimensions shown below. Which of these measurements are between 6 and 9?
JulijaS [17]
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3 years ago
Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
Alja [10]

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

4 0
3 years ago
Read 2 more answers
If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.
Reika [66]

Answer:

c=2\sqrt{89}

Step-by-step explanation:

Pythagorean theorem is:

c^{2} =a^{2} +b^{2}

c^{2}=10^{2}+16^{2}   \\c^{2} =100+256\\c^{2}=356\\c=\sqrt{356}  \\c=2\sqrt{89}

3 0
3 years ago
Describe the error in the work shown. 62​ + 3 + 5 x 2 ​ ​ 36 + 8 x 2 ​36 + 16 52
makkiz [27]

Answer:

There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.

Step-by-step explanation:

There is an error in the implication of the DMAS rule of Mathematics.

DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.

The DMAS Rules describes the following arrangement of the mathematical functions.

1st Division

2nd Multiplication

3rd Addition

4th Subtraction

Applying the above rule the solution is as follow

62​ + 3 + 5 x 2 ​ ​

First, we need to solve the Multiplication because there is no division

62​ + 3 + 10

Now perform the addition function

65 + 10

75

6 0
3 years ago
Please help me out when u can ty
Ket [755]

Answer:

Ian's pattern: 15, 31, 63, and 127.

Nicole's pattern:  485, 1457, and 4373.

Have a nice rest of your day :)

6 0
3 years ago
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