Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at random, what is the probability that the student takes Spanish or French?

Answer:

The answer is the slope of XV is 1.

The slope of UW is -1

The slopes of the diagonals are negative reciprocals

The diagonals of kite UVWX are perpendicular

Step-by-step explanation:

Negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

One of the diagonal of a kite has a slope that is equal to the inverse

multiplied by (-1)  of the other, therefore the diagonals are perpendicular

Reasons:

The proof that the diagonals of a kite are perpendicular is as follows;

The properties of a kite are;

The lengths of adjacent sides are equal

Therefore, taking the vertex at , U, as the origin, we have;

Coordinates of U = (0, 0)

Coordinates of V = (-a, b)

Coordinates of W = (0, c)

Coordinates of X = (a, b)

Step 1:

[tex]\displaystyle The \ slope \ of \ XV = \mathbf{ \frac{b - b}{x - (-x)} }=0[/tex]

The slope of XV is 0; XV is a horizontal line.

Step 2:

[tex]\displaystyle The \ slope \ of \ UW = \mathbf{\frac{c - 0}{0 - 0}} =\infty[/tex]

The slope of UW is infinity; UW is a vertical line.

Step 3:

The slope of the diagonals are; m₁ = 0, and m₂ = ∞

The above values satisfy the equation, [tex]\displaystyle m_2 = \mathbf{-\frac{1}{m_1}}[/tex]

Therefore;

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Answer:

D

Step-by-step explanation:

if u said 5x=30 then its D

Answer:D

Step-by-step explanation:6 x 5 equals 30

Answer:

231 cubed centimeters

Step-by-step explanation:

Find the area of the base of the pyramid

18 x 7=126 divided by 2= 63 cm

Next, make sure to the remember the formula is [tex]V=\frac{1}{3} BH[/tex]

1/3(63)(11)=

21(11)=231

231 cubed centimeters is the answer.

Answer:

231 cubed centimeters

Step-by-step explanation:

The formula:  

1/3(63)(11)=

21(11)=231

Answer:

-0.544m

Step-by-step explanation:

The height of the barnacle is approximately is, 0.657 meters.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Graph y = sin(x)

Boat travel= 7m

Now,

Let y be the height of the barnacle and x be the distance the boat has traveled

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7)

≈0.657.

Therefore, by algebra the answer will be 0.657 meters.

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Answer:

60

Step-by-step explanation:

To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:

[tex]4-(2)(32)\\4-64\\60[/tex]

Answer:

Step-by-step explanation:

h=4

g=32

2*32=64

h-2g= -60

Answer:

Try this solution, it consists of two parts (MN=8).

Step-by-step explanation:

Answer:

228 ft^2

Step-by-step explanation:

1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.

The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2

Answer:

the smallest prime factor of 52 is 2

Step-by-step explanation:

What is the smallest prime that is a factor of 52?

52 = 4*13, or 52 = 2*2*13.  So the smallest prime factor of 52 is 2.

Answer:

[tex]\frac{2}{7}+\sqrt{121}[/tex]

Step-by-step explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.

Sum of a rational and irrational number is irrational.

In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number

So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.

In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number

So, [tex]\pi+\sqrt{16}[/tex]  is not a rational number.

In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number

So, [tex]\frac{2}{7}+\sqrt{121}[/tex]  is a rational number

In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number

So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.

Answer:

2 / 7 + 12

Step-by-step explanation:

he is right i  just took the test i just wanna help more ..

Answer:

x=-28/3

28/x=1-4

28/x=-3

28=-3x

-28/3=x

switch them around and that's your answer.

Answer:

x = 4

Step-by-step explanation:

28÷x+4=11

28/x  + 4 = 11

Subtract 4 from each side

28÷x+4-4=11-4

28 / x = 7

Multiply each side by x

28/x * x = 7x

28 = 7x

Divide each side by 7

28/7 = 7x/7

4 =x

Answer:

AAA would be the answer

Step-by-step explanation:

The answer would be AAA because they both have equal angles. 90 and 45. Because they are vertical angles, where they intersect at S is also an congruent angle. Angle U is congruent to angle Q and so on.

Answer:

AAA

Step-by-step explanation:

Answer:

Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish

Step-by-step explanation:

So make the variables.

Hungarian = x

Polish = y

x  and y are the amount of time she spent in minutes.

x + y = 5

150x + 270 = 190y

x = 5 - y

750 - 150y + 270 = 190y

1020 = 340y

y = 3

x = 2

Answer:

Total weight of blades = ~134gm

Step-by-step explanation:

Radius of circle, [tex]r[/tex] = 4 inches

Central angle of sector = [tex]20^\circ[/tex]

For finding the weight of blades, we need to find the area of blades.

Area of circle, A = [tex]\pi r^{2}[/tex]

We know that circle has a central angle of [tex]360^\circ[/tex].

We can use unitary method to find the area of sector with angle [tex]20^\circ[/tex].

Area of [tex]360^\circ[/tex] central angle = [tex]\pi r^{2}[/tex]

Area of [tex]1^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2}[/tex]

Area of [tex]20^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2} \times 20[/tex]

Putting value of r = 4 inches

Area of blade:

[tex]\dfrac{\pi}{360} \times 4^{2} \times 20\\\Rightarrow 2.79\ in^{2}[/tex]

We have 3 blades here, so area of 3 blades =

[tex]2.79 \times 3\\\Rightarrow 8.38\ in^{2}[/tex]

Weight of steel = 16 grams per square inch

Total weight of all 3 blades = 16 [tex]\times[/tex] 8.38 = ~ 134gm

The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5

The function is given as:

[tex]g(x) = 2^{x - 1} + 3[/tex]

Set x = 0, to calculate the y-intercept

[tex]g(0) = 2^{0-1} + 3[/tex]

Simplify the exponent

[tex]g(0) = 2^{-1} + 3[/tex]

Express 2^-1 as decimal

[tex]g(0) =0.5 + 3[/tex]

Add 0.5 and 3

[tex]g(0) =3.5[/tex]

This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5

Also, the graph of g(x) has a horizontal asymptote at y = 3.5

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Answer:

3 graph

Step-by-step explanation:

Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

Answer:

The residual value when x = 4 is 0.58

Step-by-step explanation:

The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:

[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]

The residual value is:

[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]

The residual value when x = 4 is 0.58

Functions are written in terms of variables.  The residual value when the value of x is 4 is 0.58

Functions are written in terms of variables. Given the following function that represent the data in the table

y = 2.78x – 4.4

If the value of x is 4, the corresponding value of y is expressed as:

y = 2.78(4) – 4.4

y = 11.12 - 4.4

y = 6.72

Determine the residual value

Residual value = 7.3 - 6.72

Residual value = 0.58

Hence the residual value when the value of x is 4 is 0.58

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Answer:

120°

Step-by-step explanation:

you can divide the shape into 4 triangles

each triangle is 180°

180 x 4 = 720

720 divided by the number of angles (6) is 120

Answer:

120

Step-by-step explanation:

360/3=120

Answer:

31

Step-by-step explanation:

The two angles are equal so

8x-1 = 5x+11

Subtract 5x from each side

8x-5x-1 = 5x-5x+11

3x -1 =11

Add 1 to each side

3x -1+1 = 11+1

3x = 12

Divide by 3

3x/3 = 12/3

x= 4

We want to find

WZY

WZY = 5x+11

        = 5(4)+11

       =20+11

      =31

This is an isosceles trapezoid, because the two angles are supplementary on the right side.

y is 25 based on the Pythagorean theorem

w is sqrt (850)=29.15

z must be 15

Making a right triangle to look at the altitude

cos 59=a/15, so a is 7.73 between the right corner and the edge of x

That means x is 29.15-2(7.73)=13.69

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

The median should be half way between 13.69 and 29.15

That is half their sum, or half of 42.84 or 21.42

That doesn't change the answer above

Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.

please mark brainliest!

Answer:

Step-by-step explanation:

10) 4x+12

11) 7x+28

12)2x+16

13)9x+54

14)3x+33

15) 5x+35

16) 6x+24

17)8x+72

18) 4x+20

Answer:

30 degrees.

Step-by-step explanation:

Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.

The wheel has 12 "handles." We can use these as reference points when rotating the image.

We also know that we can rotate by a total of 360 degrees. We can say that:

360/12 = 30 degrees.

Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.

I hope this helps!

Answer:

18

Step-by-step explanation:

PEMDAS

(3+2)=5

5^2=25

25-7=18

Answer:

b

Step-by-step explanation:

Using the trigonometric identity

sin2x = 2sinxcosx

That is the angle on the right side is half the angle on the left, thus

sinΘ = 2sin([tex]\frac{1}{2}[/tex] Θ )cos([tex]\frac{1}{2}[/tex]Θ ) → b

Answer:

(3,4)

Step-by-step explanation:

if the original is (-3,4) and its a reflection over a vertical line that's the y-axis, the x would become opposite, which would mean -3 becoming 3.

Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)

Images that are reflected are mirror images of each other. The coordinate (x, y) reflected over the y-axis will have the resulting coordinate at (-x, y).

Note that reflecting over the y-axis negates the x-coordinate point while the y-coordinate stays the same.

Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)

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Answer:

8,5.2,6.7,82 sorry i had to hurry up

Answer:

8

5.2

6.7

82

Step-by-step explanation:

all that are bigger than 5

(would really, reallly appreciate the brainliest)

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

Answer:

X< -1.26

Step-by-step explanation:

Combine like terms and solve like any other two step equations

Answer:

X< -1.26

Step-by-step explanation:

Answer: 35.2

Step-by-step explanation: To estimate 55 percent of 64, you could round the 55 to 50 percent, and just find half of 64, which is 32. After this, because you only have 5 percent left over, you can take the number you got from 50% of 64 and move the decimal over one place to make it 3.2. Just add that number to 32 and you’ll get your answer.

Answer:

2x( 2x-1) (x+3)

Step-by-step explanation:

4x^3 + 10x² - 6x

Factor out 2x

2x( 2x^2 +5x -3)

Factor inside the parentheses

2x( 2x-1) (x+3)

Answer:

2x(2x-1)(x+3)

Step-by-step explanation:

4x³ + 10x² - 6x

here 2x is a common factor then we can pull it out:

4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)

                        = 2x(2x² + 5x - 3)

                        = 2x(2x-1)(x+3)

2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.