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d1i1m1o1n [39]
2 years ago
9

Two ladders AB and PQ are resting against opposite

Mathematics
1 answer:
muminat2 years ago
5 0

Answer:

The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225

x = √1225

x = 35 ft

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(3 8) 1 = 3 (8 1) A.True B.False
Zepler [3.9K]
Hi there!

This is pretty easy if you remember PEMDAS.

P = Parenthesis, and that's all we have in our equation so we'll work out what's in the parenthesis first.

(3×8) = 24. Then we go to the outside of the parenthesis and multiply 24 by whatever is on the outside.
24×1 =, well, 24.

Now we can go to the other side.

(8×1) = 8
8×3 = 24

Wow! Wouldja look at that? We are left with

24 = 24

The correct answer is A) True.

Hope this helps! <3
3 0
3 years ago
Solve the equation for all values of x.<br> (22 – 16)(x2 + 49) = 0<br> Please help
Mila [183]

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

6 0
3 years ago
Hello, can someone help me with this problem?
exis [7]

Answer:

Area of Rectangle A

Area = 4x^2

Area of Rectangle B

Area = 2x^2

Fraction

Fraction =\frac{2}{3}

Step-by-step explanation:

From the attached, we understand that:

The dimension of rectangle A is 2x by 2x

The dimension of rectangle B is x by 2x

Area of rectangle is calculated as thus;

Area = Length * Breadth

Area of Rectangle A

Area = 2x * 2x

Area = 4x^2

Area of Rectangle B

Area = x * 2x

Area = 2x^2

Area of Big Rectangle

The largest rectangle is formed by merging the two rectangles together;

The dimension are 3x by 2x

The Area is as follows

Area = 2x * 3x

Area = 6x^2

The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;

Fraction = \frac{Rectangle\ A}{Biggest}

Fraction =\frac{4x^2}{6x^2}

Simplify

Fraction =\frac{2x^2 * 2}{2x^2 * 3}

Fraction =\frac{2}{3}

7 0
3 years ago
$49.95 CD player; 5% tax
jekas [21]

Answer:

2.4975 round it up to $2.50  equals 52.4475 or $52.45 cents

Step-by-step explanation:

4 0
3 years ago
Solve -5x2 - 20x + 35 = 30 by completing the square.
Semenov [28]

Answer:

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Step-by-step explanation:

-5x2 - 20x + 35 = 30

Answer = x=−2−√5 or x=−2+√5

5 0
3 years ago
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