What number increased by 11.8% equals 185

Answer:

B. Ray FD

Step-by-step explanation:

A common side of two angles is the side shared by the two angles. It is part of the sides that forms both angles.

The common side of <CFD and <DFE is therefore ray FD. Ray FD is part of the sides that forms <CFD and also <DFE.

Answer:

B. Ray FD

Step-by-step explanation:

A common side of two angles is the side shared by the two angles. It is part of the sides that forms both angles.

The common side of <CFD and <DFE is therefore ray FD. Ray FD is part of the sides that forms <CFD and also <DFE.

Answer:

y = 9

Step-by-step explanation:

Answer:  [tex]37.5\sqrt{3}[/tex]

This value is exact. We can write this as 37.5*sqrt(3)

This approximates to roughly 64.9519

The units for the area are in square feet.

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

Explanation:

Split the regular hexagon into 6 identical equilateral triangles.

Each equilateral triangle has side length x = 5 ft.

The exact area of one of the equilateral triangles is

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*5^2

A = 0.25*sqrt(3)*25

A = 0.25*25*sqrt(3)

A = 6.25*sqrt(3)

Multiply this by 6 to get the exact area of the regular hexagon.

6*A = 6*6.25*sqrt(3) = 37.5*sqrt(3) which is the exact area in terms of radicals or square roots.

If your teacher meant to say choice B is 37.5*sqrt(3), then that would be the final answer. If your teacher only said 37.5 without the sqrt(3) term, then there's a typo.

Answer

500,000 + 500,000 = 1,000,000

Step-by-step explanation:

Cross sections of the volume are washers or annuli with outer radii x(y) + 1, where

y = x(y) ² - 1   ==>   x(y) = √(y + 1)

and inner radii 1. The distance between the outermost edge of each shell to the axis of revolution is then 1 + √(y + 1), and the distance between the innermost edge of R on the y-axis to the axis of revolution is 1.

For each value of y in the interval [-1, 3], the corresponding cross section has an area of

π (1 + √(y + 1))² - π (1)² = π (2√(y + 1) + y + 1)

Then the volume of the solid is the integral of this area over [-1, 3]:

[tex]\displaystyle\int_{-1}^3\pi y\,\mathrm dy = \frac{\pi y^2}2\bigg|_{-1}^3 = \boxed{4\pi}[/tex]

[tex]\displaystyle\int_{-1}^3 \pi\left(2\sqrt{y+1}+y+1\right)\,\mathrm dy = \pi\left(\frac43(y+1)^{3/2}+\frac{y^2}2+y\right)\bigg|_{-1}^3 = \boxed{\frac{56\pi}3}[/tex]

Answer:

1. (x,y) → (y,x)

Step-by-step explanation:

Coordinate of point E:

Before the transformation, the coordinate of point E was given by (3,-6).

After the transformation, we have E'(-6,3), which eliminates options 2 and 3.

For the other points, we will also get, (x,y) -> (y,x), which is the rule given when the original figure is reflected over the line y = x, and thus, the correct answer is given by option 1.

Answer:

[tex]10\sqrt{14} + 8\sqrt{21} + 30 \sqrt{3} +36\sqrt{2}\\\\[/tex]

Step-by-step explanation:

[tex]( 2 \sqrt7 + 3 \sqrt6)(5\sqrt2 + 4\sqrt3)\\\\= 2\sqrt7(5\sqrt2 + 4\sqrt3) + 3\sqrt6 ( 5\sqrt2 + 4\sqrt3)\\\\=10\sqrt{7 \times 2} + 8\sqrt{7 \times 3} + 15\sqrt{6 \times 2} + 12\sqrt{ 6\times 3}\\\\=10\sqrt{14} + 8\sqrt{21} + 15 \sqrt{12} +12\sqrt{18}\\\\= 10\sqrt{14} + 8\sqrt{21} + 15 \sqrt{4 \times 3 } +12\sqrt{9 \times 2}\\\\= 10\sqrt{14} + 8\sqrt{21} + 15 \sqrt{2^2 \times 3} +12\sqrt{3^2 \times 2}\\\\= 10\sqrt{14} + 8\sqrt{21} + 30 \sqrt{3} +36\sqrt{2}\\\\[/tex]

Answer:

[tex]-\dfrac{2}{17} + \dfrac{9}{17}i[/tex]

Step-by-step explanation:

[tex] (2 + i) \div (1 - 4i) = [/tex]

[tex] = \dfrac{2 + i}{1 - 4i} [/tex]

[tex] = \dfrac{2 + i}{1 - 4i} \times \dfrac{1 + 4i}{1 + 4i} [/tex]

[tex] = \dfrac{(2 + i)(1 + 4i)}{(1 - 4i)(1 + 4i)} [/tex]

[tex] = \dfrac{2 + 8i + i + 4i^2}{1 + 16} [/tex]

[tex] = \dfrac{2 + 9i - 4}{17} [/tex]

[tex] = \dfrac{-2 + 9i}{17} [/tex]

[tex]= -\dfrac{2}{17} + \dfrac{9}{17}i[/tex]

Answer:

up

Step-by-step explanation:

for linear functions, adding a constant will increase the y value by two and shift the line up two units on the graph.

Answer: It moves the function 'a' units up if a > 0. Or it moves the function |a| units down if a < 0.

Explanation:

Consider an example like y = f(x)+2. This shifts the f(x) curve 2 units up because we're adding 2 to each y or f(x) output. A point like (5,7) shifts up to (5,9).

As another example, y = f(x)-5 moves the curve 5 units down.

In the first example, we had a > 0 which moved the function 'a' units up (a = 2 in that case). The second example had a = -5 which means a < 0, so that's why we shifted |a| = |-5| = 5 units down.

Answer:

Answer:

-3

Explanation:

The given equation is in slope-intercept form. The format of slope-intercept is y = mx + b, where m is the slope and b is the y-intercept.

The slope is the coefficient of x.

In the equation y = -3x + 7, the slope is -3, because -3 is the coefficient of x.

Answer:

a) month salary = RM(18×800+2000)

= RM 16400

b) his salary = RM(800n+2000)

Hope it helps

Answer:

The answer is

x equal -243

Answer:

-243 is yr correct answer.

Step-by-step explanation:

hope it helps

Answer:

this would look like

0.5x+x=165

1.5x=165

x=110

Hope This Helps!!!

Step-by-step explanation:

it will help u

Answer:

Step-by-step explanation:

the first and last choices look good  

Answer:

B: Ones.

Step-by-step explanation:

Because this number is 4.09, and the decimal is right next to the 4, that means that it is in the ones place. Decimals are always adjacent on the right to the ones place.

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

Explanation:

The phrasing "2/3 of 4/5 of his 2nd exam on his 3rd test" is a bit clunky in my opinion. It seems more complicated than it has to be.

The student got 80 on the second exam. 4/5 of this is (4/5)*80 = 0.8*80 = 64. Then we take 2/3 of this to get (2/3)*64 = 42.667 approximately. If we assume only whole number scores are given, then this would round to 43.

Let x be the score on the fourth exam. Since 5 points of extra credit are given, the student actually got x+5 points on this exam.

So we have these scores

Adding up these scores and dividing by 4 will get us the average

(sum of scores)/(number of scores) = average

(70+80+43+x+5)/4 = 80

(x+198)/4 = 80

x+198 = 4*80

x+198 = 320

x = 320 - 198

x = 122

So the student got a score of x+5 = 122+5 = 127 on the fourth exam.

Answer:

Step-by-step explanation:

4x+3y=13

5x-4y=-7

Answer:

d

Step-by-step explanation:

Answer:

x=5, y=52

Step-by-step explanation:

Hi there!

1) Determine y

Because length AB is equal to length BC (making this an isosceles triangle), angle y is equal to 52 degrees.

y = 52

2) Determine x

The sum of the interior angles of a triangle will always be 180 degrees. Knowing this, we can construct the following equation and solve for x:

[tex]180=52+52+(14x+6)[/tex]

Open up the parentheses

[tex]180=52+52+14x+6\\180=104+14x+6\\180=110+14x[/tex]

Subtract 110 from both sides to isolate 14x

[tex]180-110=110+14x-110\\70=14x[/tex]

Divide both sides by 14 to isolate x

[tex]\frac{70}{14} =\frac{14x}{14} \\5=x[/tex]

Therefore, the value of x is 5.

I hope this helps!

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

 two equilateral triangles with side length 7 ft

 two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

                                       = 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

Answer:

273 ft^2 (apparently you have to cover the ground)

Step-by-step explanation:

Answer:

9.5833333333 yd³

9 7/12 yd³

Step-by-step explanation:

23 * 27 * 5/12 = 258.75 ft³

1 yd³ = 3ft * 3ft * 3ft

1 yd³ = 27 ft³

258.75 ft³ * 1 yd³/27 ft³ = 9.5833333333 yd³

9.5833333333 yd³

9 7/12 yd³

Answer:

a= 26

Step-by-step explanation:

180-130=50

total angle in triangle =180

4a+a+50=180

then proceed like norma algebra

Answer:

2）=2

4）=3

5）=5

8）=-1

Step-by-step explanation:

just divide the number by the number with variable

Answer:

Domain: {1, 2, 3, 4}

Step-by-step explanation:

The domain of the graph (input values) is the number of pizzas which are plotted on the x-axis while the range (output values) is the cost of pizza, plotted on the y-axis (vertical axis)

The domain therefore would consists of each x-coordinate that represent each point on the graph, which are {1, 2, 3, 4}

9514 1404 393

Answer:

  11

Step-by-step explanation:

The degree of the given monomial is the sum of the exponents of the variables.

  m has degree 6

  n has degree 5

The degree of the monomial is 6+5 = 11.

Answer:

χ² = 4.80

Pvalue = 0.1874

Step-by-step explanation:

Given :

Category Observed (Expected)

A 25 (20)

B 35(40)

C 50(60)

D 90(80)

The Chisquare statistic (χ²) is given by :

χ² = Σ(observed - Expected)² / Expected

χ² = (25-20)²/20 + (35-40)/40 + (50-60)²/60 + (90-80)²/80

χ² = 1.25 + 0.625 + 1.67 + 1.25

χ² = 4.795

χ² = 4.80 (2 decimal places)

Using the Chisquare Pvalue calculator :

df = n - 1 = 4 - 1 = 3

Pvalue = 0.1874

Lauren will get 2/25 because the coin only lands on heads or tail

Answer:

- Min Z = $400C + $200A

Step-by-step explanation:

The linear programming model deals with the minimization or maximization of a linear function of several variables and inequalities. This method assists the industries in minimizing costs and maximizing production.

In the given situation,

The Linear programming model would be:

Min Z = $400C + $200 A

which is based on:  

150 mg of vitamin K in corn C + 250 mg of vitamin K in AlfaAlfa  ≥ 500

75 mg of iron in Corn + 50 mg of iron in AlfaAlfa ≥ 400

∵ C, A ≥ 0

Thus, the equation would be,

Min Z = $400C + $200 A

Answer:

0.0677 = 6.77% probability that they will all be nonfiction

Step-by-step explanation:

The books are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

10 + 12 = 22 books.

She chooses 4 books, which means that [tex]n = 4[/tex]

12 nonfiction, which meas that [tex]k = 12[/tex]

What’s the probability that they will all be nonfiction?

This is P(X = 4). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,22,4,12) = \frac{C_{12,4}*C_{10,0}}{C_{22,4}} = 0.0677[/tex]

0.0677 = 6.77% probability that they will all be nonfiction