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Dvinal [7]
4 years ago
14

Use the quadratic formula to solve 4x^2 - 8x - 60 = 0

Mathematics
1 answer:
zhannawk [14.2K]4 years ago
4 0
A. You can factor it to those terms
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1. Rodrigo has a ladder that is 13 ft long. The ladder is leaned against a vertical wall. The top of the ladder is 10.8 ft above
PtichkaEL [24]

Answer:

As per the given condition:  Rodrigo has a ladder that is 13 ft long. The ladder is leaned against a vertical wall. The top of the ladder is 10.8 ft above the ground.

The Orientation of the ladder with the wall forms a right triangle.  

The ladder length is the hypotenuse of the triangle,

the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle,

and the height of the ladder is the vertical leg of the triangle.

⇒ Height of the ladder = 10.8 ft and hypotenuse = 13 ft

Using sine ratio formula;

\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}

Opposite side = height of the ladder = 10.8 ft and

Hypotenuse side = 13 ft.

then;

\sin \theta = \frac{10.8}{13} =0.830769230769

or

\theta = \sin^{-1}(0.830769230769)

Simplify:

\theta = 56.2^{\circ} (nearest to tenth place)

Since, it is given that the angle the ladder makes with the ground needs to be 60 degree or less for safety purposes.

(a)

Yes, this ladder in a safe position.

as \theta = 56.2^{\circ} < 60^{\circ}

(b)

You can see the diagram as shown below in the attachment.





8 0
3 years ago
How much extra concrete was ordered ?
alexandr1967 [171]

Answer:

Patio size: 3 cubic yards

1 cubic yard = $140

5.) 140 x 3 = $420

Step-by-step explanation:

5 0
3 years ago
Calculate the length of AC, to the nearest tenth of a centimeter.
sertanlavr [38]

Answer:

AC ≈ 11.0 cm

Step-by-step explanation:

Using Pythagoras' identity in Δ CDE and Δ ADE

CE² + DE² = DC²

CE² + 7² = 8²

CE² + 49 = 64 ( subtract 49 from both sides )

CE² = 15 ( take the square root of both sides )

CE = \sqrt{15}

-------------------------------------------------------

AE² + DE² = DA²

AE² + 7² = 10²

AE² + 49 = 100 ( subtract 49 from both sides )

AE² = 51 ( take the square root of both sides )

AE = \sqrt{51}

Then

AC = AE + CE = \sqrt{15} + \sqrt{51} ≈ 11.0 cm ( to the nearest tenth )

5 0
3 years ago
The total cost of placing an advertisement in a newspaper compromises of a fixed cost of $3.50 and a variable cost that depends
Snezhnost [94]
1. F(x)=3.50+.25(22) which equals 9.

2. In order to find the greatest amount of words you need to have a variable representing the amount of words, its easiest to use X. In the equation I used above I put 22 in place of the X so since your trying to find the X the equation you’ll use is 15=3.50+.25(X) and solve to find X=46 words is the max he can use which will equal exactly 15 dollars. You put 15 on the other side of the equation because you need it to be equal to 15 dollars in the end.
5 0
3 years ago
To which set of numbers does 0.3 belong?
GrogVix [38]
A is the correct answer I believe
7 0
3 years ago
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