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spayn [35]
3 years ago
13

Question 4 of 10 A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that

the top and bottom of the window have a width of 5 feet and the sides have a length of 12 feet. He also measured one diagonal to be 13 feat. What is the length of the other diagonal? A. 12 feet B. 17 feet C5 feet D. 13 feet​
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Answer:

❝ D. 13 feet ❞

Step-by-step explanation:

Here,

  • Window is in the rectangular shape.
  • Measure of its one diagonal is 13 feet.

According to the properties of rectangle,

→ Diagonals of a rectangle are equal.

So, here the length of other diagonal will be 13 feet too.

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Paul [167]

Answer:

-5

Step-by-step explanation:

Moving all terms of the quadratic to one side, we have

x^2-2x-(c+4)=0.

A quadratic has one real solution when the discriminant is equal to 0. In a quadratic ax^2+bx+d, the discriminant is \sqrt{b^2-4ad}.

(The discriminant is more commonly known as \sqrt{b^2-4ac}, but I changed the variable since we already have a c in the quadratic given.)

In the quadratic above, we have a=1, b=-2, and d=-(c+4). Plugging this into the formula for the discriminant, we have

\sqrt{(-2)^2-4(1)(-(c+4)).

Using the distributive property to expand and simplifying, the expression becomes

\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.

Setting the discriminant equal to 0 gives

2\sqrt{c+5}=0.

We can then solve the equation as usual: first, divide by 2 on both sides:

\sqrt{c+5}=0.

Squaring both sides gives

c+5=0,

and subtracting 5 from both sides, we have

\boxed{c=-5}.

3 0
2 years ago
Heron's Formula:
zlopas [31]

Answer:

√s(s-a) (s-b) (s-c)

Step-by-step explanation:

123456

herons formula

6 0
1 year ago
A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represe
Charra [1.4K]

Answer:

(627.50-95)/m

Step-by-step explanation:

The total value of money earned was $627.50. Then subtract the amount of money the popcorn cost, $95.00. This subtraction would make the difference of $532. This equation would be in parentheses because you have to get the difference before you can divide the profits among the club members. After you put that into parentheses, divide the difference by M. This will give you the equation (627.50-95.00)/m hope this helps!

4 0
3 years ago
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Solve for x : ax+v=3(x-c)
never [62]

Answer:

x=\frac{3c+v}{a-3}

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

3 0
3 years ago
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If u add 5 to me and then divide by 9,u get 3. What number amI?
STatiana [176]
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