27. Find the length of the segment LK. (G.CO.C.10)
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1
3x
L
K
X + 6
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Answer:

17.18400

Step-by-step explanation:

When rounded to the nearest whole number, it's 17.

Hope this helped :)

Answer:

10

Step-by-step explanation:

Every time you multiply by 10 you move the decimal point one digit to the right. So if you multiply 1.62 by 10 you move the decimal point one digit to the right so it becomes 16.2.

So the answer is 10

Answer:

The answer is 10

Step-by-step explanation:

Every time you multiply by a power of 10 that does not have a negative exponent, the decimal point moves to the right.

How many times, you might wonder. It all just depends on how many zeroes there are. If there's one 0, (10) then the decimal point just moves one over, if were multiplying by 100 then 2 places over, 1000 three places over, and so on.

1.62 * 10 = 16.2, since the decimal point moved one to the right.

10 is therefore the answer, but if you wanted to you could check the other answers as well.

1.62 * 100 = 162

1.62 * 1000 = 1620

Therefore, the answer is 10. Please mark brainliest if possible. Have a nice day.

Answer:

128cm

Step-by-step explanation:

Your Welcome :)

value of u = 2

Hope it helps you...

Answer:

u = 2

Step-by-step explanation:

6u + 7 = 29 - 5u

6u + 5u + 7 = 29 - 5u + 5u

11u + 7 = 29

11u + 7 - 7 = 29 - 7

11u = 22

11u ÷ 11 = 22 ÷ 11

u = 2

This question is incomplete, the complete question;

At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answer:

the length of the shadow will be 379 ft

Step-by-step explanation:

Given the data in the question and as represented in the diagram below;

height of monument = 555 ft

angle of elevation = 55.7°

From the image below, this makes a right angled triangle

we know that the some of the interior angles of a triangle is 180

so

∠ABC + ∠BCA + ∠CAB = 180°

90° + 55.7° + ∠CAB  = 180°

∠CAB = 180° - 145.7°

∠CAB = 34.3°

Now, using sine rule;

BC / sinA = AB / sinC

so we substitute

BC / sin( 34.3°) = 555 / sin( 55.7° )

BC / 0.563526 = 555 / 0.826098

we cross multiply

BC × 0.826098 = 0.563526 × 555

BC × 0.826098 = 312.75693

BC = 312.75693 / 0.826098

BC = 378.595 ≈ 379 ft

Therefore, the length of the shadow will be 379 ft

Answer:

x-int > 1 and 5

vertex > 3,4

maximum

Step-by-step explanation:

(x-1)(x-5) > xint is 1 and 5

Answer:

first one : inscribed angles create arc twice their degree

so, 115° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Answer:

15° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Step-by-step explanation:

Step-by-step explanation:

if N= given Side then,

(20-2)180

18×180

3240° Answer

Answer:

n=20 side

sum=(n-2)180

=(20-2)180

=(18)180

=3240

9514 1404 393

Answer:

  x^2/1024 -y^2/7744 = 1

Step-by-step explanation:

The parent hyperbola relation is ...

  x^2 -y^2 = 1

This has asymptotes of y = ±x and x-intercepts of ±1.

For the given hyperbola, we want to scale x by a factor of 32, and y by a factor that is 2.75 times that, or 88. Then the equation could be written as ...

  (x/32)^2 -(y/88)^2 = 1

More conventionally, the denominator is shown at full value:

  x^2/1024 -y^2/7744 = 1

(a) By the fundamental theorem of calculus,

v(t) = v(0) + ∫₀ᵗ a(u) du

The particle starts at rest, so v(0) = 0. Computing the integral gives

v(t) = [2/3 u ³ + 2u ²]₀ᵗ = 2/3 t ³ + 2t ²

(b) Use the FTC again, but this time you want the distance, which means you need to integrate the speed of the particle, i.e. the absolute value of v(t). Fortunately, for t ≥ 0, we have v(t) ≥ 0 and |v(t) | = v(t), so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of

∫₀⁸ v(u) du = ∫₀⁸ (2/3 u ³ + 2u ²) du = [1/6 u ⁴ + 2/3 u ³]₀⁸ = 1024

Answer:

The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

97.1% confidence level

So [tex]\alpha = 0.029[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.029}{2} = 0.9855[/tex], so [tex]Z = 2.18[/tex].

The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex]p = \frac{favorable \: outcomes}{total \: outcomes} = \frac{4}{9} [/tex]

=============================================================

Explanation:

The probability you get a black marble on the first selection is 2/3 since we have 2 black marbles out of 2+1 = 3 total.

We put the marble back and then we have 2/3 as the probability of selecting another black marble on the second try. Nothing has changed because we put the marble back. That means the events are independent.

So we get (2/3)*(2/3) = 4/9 as the probability of selecting 2 black marbles in a row (with replacement).

Answer:

12

Step-by-step explanation:

The amount of children that do like ice cream are 14/26 so the children that do not like ice cream 14/26, and the numerator is 12

Step-by-step explanation:

63+81

gcf = 9

63÷9=7, 81÷9=9

so, 63+81 = (9×7)+(9×9)

= 9×(7+9)

63+81 = 144

9x(7+9) = 9×16 = 144

Answer:

umm can you be more specific

Step-by-step explanation:

Answer:

32/3

Step-by-step explanation:

4 ÷ 3/8

 4        3

___ ÷ ___ (reciprocal method, then change the operation to multiplication)

 1         8

 4        8

___ × ___  (multiply)

 1         3

= 32/3

since 32/3 is already reduced, the final answer would be 32/3.

Answer:

y=-1/2x+4

Step-by-step explanation:

The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

[tex]H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0[/tex]

For point b:

[tex]t = -2.953[/tex]

For point c:

[tex]\to p- value = 0.0021[/tex]

For point d:

Reject [tex]H_o[/tex]. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

Answer:

sqrt(1^2 + 2^2)

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

A midpoint of a line means that each segment connecting from the midpoint to an end is equal. For this problem, this means that AB = BC, as B is the midpoint, and A and B are the ends. Therefore, we can say that:

AB = BC

2x + 6 = 5x - 3

add 3 to both sides

2x + 9 = 5x

subtract 2x from both sides

9 = 3x

divide both sides by 3

3 = x

Plugging 3=x into AB, this means that 2(3) + 6 = AB = 12

Answer:

f(x) = 3/4x^2 + 2x -5

quadratic function formula is ax^2+b^2+c

Answer:

C

Step-by-step explanation:

Mae, Elsa, Rodley, Cristina, Christian

Answer:

the answer is 97.2

Step-by-step explanation:

Just add 94.2+3

Answer:

y = 0.48(x - 0.5)² - 3

y = 0.48(x² - x - 6)

Step-by-step explanation:

From the graph the zeros are

x = {-2, 3}

The x coordinate of the vertex is the midpoint of the roots

x = (-2 + 3) / 2

x = 0.5

The y coordinate of the vertex is

y = -3

vertex = (0.5, -3)

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

Merhod I - vertex

Vertex form is

y = a(x - h)² + k

plug in the vertex

y = a(x - 0.5)² - 3

to find a plug in either root

using x = 3

0 = a(3 - 0.5)² - 3

0 = a(2.5)² - 3

0 = 6.25a - 3

3 = 6.25a

a = 3/6.25

a = 0.48

y = 0.48(x - 0.5)² - 3

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

Method II - roots

y = a(x + 2)(x - 3)

-3 = a(0.5 + 2)(0.5 - 3)

-3 = a(2.5)(-2.5)

-3 = -6.25a

3/6.25 = a

0.48 = a

y = 0.48(x + 2)(x - 3)

Expand

y = 0.48(x² - x - 6)

Answer:

Foss

Step-by-step explanation:

Answer:

[tex] \frac{4x - x}{2x - x} \\ = \frac{x(4 - 1)}{x(2 - 1)} \\ = \frac{3}{1} \\ = 3[/tex]

Answer:

[tex]\frac{7x}{3} \\[/tex]-[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

a. Females are more likely to enroll in Online Only courses than males.

Step-by-step explanation:

Given

The collected data

Required

Which of the options is true

(a): Female more likely in online only courses

In online courses, we have:

[tex]Female = 7000[/tex]

[tex]Male = 2000[/tex]

By comparison:

[tex]7000 > 2000[/tex]

Hence, this statement is true

Other options are false

Answer:

The vertex is at (-3, 9).

The axis of symmetry is x = -3.

Step-by-step explanation:

We have the function:

[tex]f(x)=-x^2-6x[/tex]

And we want to determine its vertex and the equation of its axis of symmetry.

The vertex can be found with the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = -6, and c = 0.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-6)}{2(-1)}=-3[/tex]

To find the y-coordinate substitute this value back into the function:

[tex]\displaystyle f\left(-\frac{b}{2a}\right)=f(-3)=-(-3)^2-6(-3)=9[/tex]

So, the vertex of the equation is (-3, 9).

The axis of symmetry is goes through the vertex point. So, the equation for the axis of symmetry is simply the x-value. Therefore, the equation is:

[tex]x=-3[/tex]

Step-by-step explanation:

you can arrange f(x) as :

f(x) = 3(x^2 +3x ) +12 = 3 (x +1.5) ^2 + 5.25

so you can see the vertex is at (0,5.25) when x =-1.5

the axis symmetry then lies in x =-1.5

im solving now almost done

Answer:

b.)    (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1

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