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3 years ago

Evaluate the discriminant. Exact answer (no rounding) 0= -4x – 24x – 38

Mathematics

1 answer:

frutty [35]3 years ago

8 0

Answer: x= -19/14 —> (19 over 14)

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the arc corresponding to the central angle of 35 degrees in a circle of radius 10 feet measures __feet. Round your answer to two

suter [353]

Answer:

$\huge\boxed{\sf Arc \ length = 6.11 \ ft.}$

Step-by-step explanation:

<h3><u>Given data:</u></h3>

Theta = θ = 35°

Radius = r = 10 ft.

<h3><u>Required:</u></h3>

Arc length = ?

<h3><u>Formula:</u></h3>

$\displaystyle Arc \ length = 2 \pi r(\frac{\theta}{360} )$

<h3><u>Solution:</u></h3>

Put the givens in the above formula

$\displaystyle Arc \ length = 2 (3.14)(10)(\frac{35}{360} )\\\\Arc \ length = 2(3.14)(10)(0.097)\\\\Arc \ length = 6.11 \ ft.\\\\\rule[225]{225}{2}$

8 0

2 years ago

The length of one leg of a right triangle is 20 ft and the length of the hypotenuse is 52 ft. What is the length of the other le

Ludmilka [50]

We will apply Pythagoras theorem in a right triangle, which states

" Consider a right triangle with hypotenuse 'h' and two legs say 'b' and 'p'. Pythagoras theorem states that the square of hypotenuse is equal to the sum of the square of both the legs of a triangle".

Mathematically, $h^{2}=b^{2}+p^{2}$ (Equation 1)

Length of hypotenuse (h)= 52 feet

Length of one leg (let b )= 20 feet

We need to calculate the length of another leg that is 'p'

Using Equation 1,

$h^{2}=b^{2}+p^{2}$

Substituting the values, we get

$(52)^{2}=(20)^{2}+p^{2}$

$2704 = 400+p^{2}$

$p^{2}=2304$

$p=\sqrt{2304}$

p = 48 feet

Therefore, Option D is the correct answer.

3 0

3 years ago

If a canoe travels with a speed of A mph for 3 hours, and then with a speed of B mph for the rest of the journey, how long does

Mandarinka [93]

Answer:

t = (C - 3*A)/B + 3

Step-by-step explanation:

Given in the question that,

the speed with which canoe travelled for first 3 hours = A

the speed with which he travelled for any and all time thereafter = B

As we do not know the values of A, B, or C, so the answer will be an expression for C in terms of A and B.

<h3>Formula to use</h3>

distance = speed x time

C = A*3 + B*(t-3)

Rearranging and solving for t

C - (A*3) = B*(t-3)

C - (A*3) = Bt - B3

C - (A*3) + B3 = Bt

t = C - (A*3) + B3 / B

t = (C - 3*A)/B + 3

4 0

3 years ago

HELP MI PORFA<3

Maru [420]

Step-by-step explanation:

2(3x+4)=56

<=> 6x+8=56

<=> 6x=48

<=> x=8

3 0

3 years ago

To make the drawing twice as larger

Airida [17]

2x, I guess because I don't see any picture or anything to show.

8 0

4 years ago