Given the quadratic equation x2 - 5x+ 10 = 0
Which of the following gives the value of the discriminant along with the
proper interpretation of it

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141, the distance from point A to point B. is mathematically given as

BC=78.1575

Generally, the equation for the angle is mathematically given as

[tex]tan\theta=\frac{oop}{adj}[/tex]

Therefore

[tex]tan\theta=\frac{141}{AC}[/tex]

Therefore

[tex]AC=\frac{141}{tan 9}[/tex]

AC=890.2389

In conclusion, with triangle BDC

[tex]tan61=\frac{141}{BC}[/tex]

Therefore

BC=141/tan61

BC=78.1575

Read more about distance

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Answer:

n = 15

Step-by-step explanation:

5/2 = n/6                 Multiply both sides by 6

6 * 5/2 = 6 n/6

30/2   = n

n = 15

Answer:

w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

x = sqrt(17)

Step-by-step explanation:

Angle B is 90 degrees; the line BC is a radius of circle C and line AB is a tangent line of BC. Since they must be perpendicular, angle B is 90 degrees.

Now use the pythagorean theorem to solve for x.

c=9, a = 8, b= x

a^2+b^2=c^2

8^2+x^2=9^2

x=sqrt(81-64)

x=sqrt(17)

Answer:

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $0.35 and a standard deviation of $0.33.

This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].

What is the probability that a randomly selected stock will close up $0.75 or more?

This is 1 subtracted by the p-value of Z when X = 0.75. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]

[tex]Z = 1.21[/tex]

[tex]Z = 1.21[/tex] has a p-value of 0.8869.

1 - 0.8869 = 0.1131

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Answer:

88 in

Step-by-step explanation:

we have to find the circumference of the circle which is ;

C = pie d

= 22/7 x 28

= 88 in

Answer:

Step-by-step explanation:

CP=Rs 3000

SP=Rs 3300

since SP is greater than CP there is profit

profit%=sp-cp/cp*100%

=3300-3000/3000*100%

=300/3000*100%

=(300*100/3000)%

=30000/3000%

=10%

Answer:

Step-by-step explanation:

cp=Rs3000

sp=Rs3300

so cp<sp there is profit

profit=sp-cp

=Rs3300-Rs3000

=Rs300

Now

profit percent =profit × 100percent

cp

= 300 ×100

3000

=10percent

hope it helps

Answer:

[tex]18 \: gallons = 45 \: seconds \\ 40 \: gallons = ( \frac{40}{18} \times 45) \: seconds \\ = 100 \: seconds[/tex]

Answer:

166 in^2

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

w = 4

l = 7

h = 5

wl = 4 x 7 = 28

hl = 5 x 7 = 35

hw = 5 x 4 = 20

Then we add.

28 + 35 + 20 = 83

And the multiply by 2.

83 x 2 = 166

Answer:

Step-by-step explanation:

Answer:

Choose 1 answer: Multiply/divide both sides by the same non-zero constant. Multiply/divide both sides by the same variable expression.

Step-by-step explanation:

Answer:

Multiply/divide both sides by the same non-zero constant

hope this helps

have a good day :)

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  -30x²√(2x)

Step-by-step explanation:

Squares can be removed from under the radical.

Answer:

The answer is b on edg

Step-by-step explanation:

Just took the assignment

Answer:

B) 119.1

Step-by-step explanation:

First, find your circle area

[tex]A=\pi r^{2} \\A=\pi 7^{2} \\A=153.9[/tex]

Then get the area of the square, we will worry about the tringles on each side in the last step.

l=12

w= 14 (Radius of circle times 2)

A=wl

A=14*12

A=168

Now the triangle

h=14 (Radius of circle times 2)

b=(27 - 12) / 2 = 7.5 ( total length 27 minus 12 divided, by 2 since there's 2 triangles on each side.

[tex]A=h\frac{b}{2} \\A=14\frac{7.5}{2} \\A=52.5[/tex]

Now add 2 triangles, the square and substract the circle

52.5+52.5+168 = 273

273 - 153.9 = 119.1 in^2

m > 10.33 hope this helps

Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

    49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

Using proportions, it is found that 35 black keys appear on a portable keyboard with 49 white keys.

The rule of three is:

7 white keys - 5 black keys

49 white keys - x black keys

Applying cross multiplication:

[tex]7x = 49 \times 5[/tex]

Simplifying both sides by 7:

[tex]x = 7 \times 5 = 35[/tex]

Hence, 35 black keys will appear.

A similar problem, also involving proportions, is given at https://brainly.com/question/24372153

Answer:

y=-1/2x+4

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept

so

y=-1/2x+4

Answer:

C

Step-by-step explanation:

This is the answer because you have to use the formula of volume

which is L x W x H then you get your answer

Answer:

A. P ( Z > 0.54)  = 0,7054

B. P ( Z < 0.54)  =  0.2946

C.1) 1  -  0.2946    =  0.7054

D.1)  1  -  0.2946    =  0.7054

Step-by-step explanation:

A) P ( Z > 0.54)  =  1  -  P (  Z  ≤ 0.54)

P (  Z  ≤ 0.54)  =  0,2946          from  z-table

P ( Z > 0.54)  =  1  - 0,2946

P ( Z > 0.54)  = 0,7054

B) P ( Z < 0.54)  =  0.2946

C)  1 - P ( Z < - 0,54)

     1  -  0.2946    =  0.7054

D)  1 - P ( Z <  0,54)

     1  -  0.2946    =  0.7054

Answer:

32 at 180

Step-by-step explanation:

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

Answer:59

Step-by-step explanation:

beacause you need to added them all together

Answer:

430ml

Step-by-step explanation:

there are 1000ml in 1L so take 0.43 times with 1000 to find the answer

9514 1404 393

Answer:

  154 in²

Step-by-step explanation:

The area of the cake top is given by the formula for the area of a circle.

  A = πr²

Here, it is convenient to use the approximation π ≈ 22/7, so we have ...

  A = (22/7)(7 in)² = 154 in²

The baker should use 154 square inches of frosting for the top of the cake.