Find the missing side

Answer:I believe it is Michael

Step-by-step explanation:because In the question it asks you which person enjoys their tea with at least one spoonful of sugar and if you go back to the chart it says Michael has 1 sugar

Algebra

The answer to this problem is to simply simplify it.

[tex] \frac{1}{2} n + 3 < 5[/tex]

Subtract three from both sides.

[tex] \frac{1}{2} n < 2[/tex]

Multiply both sides by two.

[tex]n < 4[/tex]

Meaning, n is anything below four.

9514 1404 393

Answer:

  256,096 ft²

Step-by-step explanation:

Pyramid Area

Each of the four faces is a triangle with a base of 756 feet and a height of 612 feet. The area of that triangle is ...

  A = 1/2bh

  A = 1/2(756 ft)(612 ft) = 231,336 ft²

The total area of the four visible faces of the Great Pyramid is ...

  pyramid area = 4 × 231,336 ft² = 925,344 ft²

__

WTC Area

Each of the four rectangular side faces of the WTC tower has a base length of 208 ft and a height of 1368 ft. The area of it is ...

  A = LW = (208 ft)(1368 ft) = 284,544 ft²

The area of the square top of the tower has an area that is ...

  A = s² = (208 ft)² = 43,264 ft²

The total area of the four visible sides and the top is ...

  WTC tower area = 4 × 284,544 ft² +43,264 ft² = 1,181,440 ft²

__

The difference between the areas is ...

  WTC tower area - Great Pyramid area =

     1,181,440 ft² -925,344 ft² = 256,096 ft²

The difference in visible area is 256,096 ft².

Answer:

kbsishodhohror keviegieh

Answer:

[tex]2 {x}^{3} - 4 {x}^{2} - 15x \\ = x( {2x}^{2} - 4x - 15) \\ [/tex]

Answer:

From my thinking prospection the answer should be 18....

Answer:

option B

Step-by-step explanation:

Given :

[tex]y = \frac{2}{3}x + 3\\\\y = \frac{5}{2}x + \frac{7}{2}\\\\[/tex]

Step 1 : simplify the equation :

[tex]3y = 2x + 9\\\\2y = 5x + 7\\[/tex]

Step 2: Arrange the terms :

[tex]2x - 3y = - 9\\\\5x -2 y = -7[/tex]

Step 3 : Solve for x and y :

                                2x - 3y = - 9 ------ ( 1 )

                                5x - 2y = - 7 --------- ( 2 )

                              _____________________

              ( 1 ) x 5 => 10x - 15y = - 45    ---------- (3 )

              ( 2) x 2 => 10x - 4y = - 14    ----------- (4 )

                             _______________________              

           ( 3 ) - ( 4 ) =>  0x - 11y = - 31

                                    - 11 y = - 31

                                        [tex]y = \frac{31}{11}[/tex]

              Substitute y in ( 1 ) :

                     2x - 3y = - 9

                     [tex]2x - 3 (\frac{31}{11}) = - 9\\\\2x = -9 + 3(\frac{31}{11})\\\\2x = - 9 + \frac{93}{11}\\\\2x = \frac{-99 + 93}{11} \\\\2x = \frac{-6}{11} \\\\x = \frac{-6}{2 \times 11} = -\frac{3}{11}[/tex]

Therefore the solution to the sytem is [tex]( - \frac{3}{11} , \frac{31}{11})[/tex]

The solution of the system of equation is a point which lies

on the both the lines.

Option A : False ,  It says the solution lies above one of the given line.

               But the solution of the system of equation always lies on

                both the line.

Option B : True , says the solution is a point on the coordinate plane.

Option C : False, because if the solution is on the x-axis , then

                  the y coordinate in the solution would be zero.

                   But it  is not zero.

Option D : False , the solution is the point where both the lines intersect.

Answer:

x=3

Step-by-step explanation:

A vertical line will have the equation in terms of x. Any point you choose on line l will have an x-coordinate of 3.

a(6-5)2+3=5

a.1.2+3=5

2a+3=5

2a=2

a=1

Answer:

See Explanation

Step-by-step explanation:

According to The Question,

Given That, On a coordinate plane, ΔPQR and ΔSTU are shown. ΔPQR has points (4,4) , (-2,0) , (-2,4). ΔSTU has points (2,-4) , (-1,-2) , (-1,-4).

The distance between two points on the coordinate plane is given as:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

IQRI = [tex]\sqrt{(-2_{}-(-2)_{})^{2} + (4_{}-0_{})^{2} }[/tex] = 4

IPQI = [tex]\sqrt{(-2_{}-4_{})^{2} + (0_{}-4_{})^{2} }[/tex] = √52

IPRI = [tex]\sqrt{(-2_{}-4_{})^{2} + (4_{}-4_{})^{2} }[/tex] = 6

ISTI = [tex]\sqrt{(-1_{}-2_{})^{2} + (-2_{}-(-4)_{})^{2} }[/tex] = √13

ISUI = [tex]\sqrt{(-1_{}-2_{})^{2} + (-4_{}-(-4)_{})^{2} }[/tex] = 3

ITUI = [tex]\sqrt{(-1_{}-(-1)_{})^{2} + (-4_{}-(-2)_{})^{2} }[/tex] = 2

Now, Verifying that the triangles are similar  

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2  

|PQ| / |ST| = √52 / √13 = 2

Hence,   |QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Answer: the answer is Complete the statements to verify that the triangles are similar.

StartFraction Q R Over T U EndFraction = ✔ 2

StartFraction P R Over S U EndFraction = ✔ 2

StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = ✔ 2

Therefore, △PQR ~ △STU by the ✔ SSS similarity

theorem.

Step-by-step explanation: it is show down below.

Answer:

8) 1/4

9) 1/4

10) 1/8

11) 3/8

Here are the correct answers :)

Answer:

P(2): 1/4

P(1): 1/4

P(4): 1/8

P(3 or 5): 3/8

Step-by-step explanation:

The areas marked 1, 2, and 3 each take up 1/4 of the box. This means that the probability that you will spin the arrow and land in any of those spaces is 1/4 each.

Areas 4 and 5 are HALF the size of areas 1, 2, and 3. This means that areas 4 and 5 are half of 1/4. Half of 1/4 is 1/8.

The word "or" means that you ADD whatever two probabilities they are asking for. In this case, you add areas 3 and 5. So, add 1/4 + 1/8 = 3/8.

(an easy way to add 1/4 to 1/8 is to change 1/4 to 2/8. Then you can add the two areas easily)

Answer:

soulution

Step-by-step explanation:

just took it

Answer:

A. 232 acres

Step-by-step explanation:

Got it right

The number of acres of land that were harvested is given by A = 232 acres

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total amount of harvest of bushels be = 9,396 bushels

And , the amount of bushels per acre = 40.5

So , number of acres of land that were harvested is A = amount of harvest of bushels / amount of bushels per acre

On simplifying the equation , we get

The number of acres of land that were harvested is A = 9,396 / 40.5

The number of acres of land that were harvested is A = 232 acres

Hence , the number of acres is 232 acres

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

Answer:

[tex]8\:\mathrm{cm}[/tex]

Step-by-step explanation:

By definition, the length arc is a portion of a circle's circumference. The exact amount is directly proportional to the measure of the arc. Therefore, the formula for the length of an arc with measure (in degrees) [tex]\theta[/tex] is [tex]2\pi r\cdot \frac{\theta}{360}[/tex], where [tex]2\pi r[/tex] is the circumference of the circle.

Substituting [tex]2\pi r=18[/tex] and [tex]\theta=160^{\circ}[/tex]:

[tex]L_{arc}=18\cdot \frac{160}{360}=\boxed{8\:\mathrm{cm}}[/tex]

We have that The length of an arc that has a measure of 160° is

[tex]l=7.9866cm[/tex]

From the Question we are told that

Circumference of 18 cm.

Arc angle=160

Generally the equation for length of arc  is mathematically given as

[tex]l=2 \pi r (\theta /360)[/tex]

Where

[tex]C=2\pi r\\\\r=\frac{18}{2\pi}\\\\r=2.86cm[/tex]

Therefore

[tex]l=2 \pi 2.86 (160/360°)[/tex]

[tex]l=7.9866cm[/tex]

Therefore

The length of an arc that has a measure of 160° is

[tex]l=7.9866cm[/tex]

For more information on this visit

https://brainly.com/question/12359715

Step-by-step explanation:

Given

To Prove

[tex]\dfrac{3\sin x}{1-\cos x}=3\csc x+3\cot x[/tex]

Take the Left side of equation and rationalize

[tex]\Rightarrow \dfrac{3\sin x}{1-\cos x}\times \dfrac{1+\cos x}{1+\cos x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{1-\cos^2 x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{\sin^2 x}\\\\\Rightarrow \dfrac{3\sin x}{\sin ^2x}+\dfrac{3\sin x\cos x}{\sin^2 x}\\\\\Rightarrow \dfrac{3}{\sin x}+\dfrac{3\cos x}{\sin x}\\\\\Rightarrow 3\csc x+3\cot x[/tex]

Left side is equal to right side

Hence, proved

Hello,

[tex]f(x)=3x+3 \Longleftrightarrow y=3x+3\\\\x=3*y+3 \Longleftrightarrow y=\dfrac{x-3}{3} \\\\\boxed{f^{-1}(x)=\dfrac{x-3}{3}}[/tex]

Answer:

8:11

Step-by-step explanation:

For every 8 apples, there are 11 oranges.

Answer:

8 : 11 = 8 : 11

Step-by-step explanation:

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

11 ÷ 1 = 11

The ratio 8 : 11 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 11 = 8 : 11

Answer:

B and C are correct

Answer:

a=10

Step-by-step explanation:

a^2+b^2=c^2

8 is b

12.8 is c

a^2+64=163.84

a^2=99.84

a=√99.84

a=10

Hope this helps!

RULE : ASA i.e angle- side-angle

Hope it helps you....

Answer:

2n + 2

Step-by-step explanation:

The formula for nth term of an arithmetic progression is [tex]an = d*n+a1-d[/tex]

In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).

[tex]an=d*n+a1-d\\an=2n+4-2\\an=2n+2[/tex]

Given:

A figure of a right angle triangle.

To find:

The length of BC.

Solution:

In a right angle triangle,

[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan A =\dfrac{BC}{AC}[/tex]

[tex]\tan 23^\circ =\dfrac{BC}{6}[/tex]

[tex]0.42447\times 6 =BC[/tex]

[tex]2.54682 =BC[/tex]

Approximate the value to the nearest hundredth.

[tex]BC\approx 2.55[/tex]

Therefore, the measure of side BC is 2.55 units.

Answer:

C

Step-by-step explanation:

Angle in a triangle add up to 180

since this is an isosceles triangle two angles are the same

180-(47+47)=86

Opposite angles are equal

Angles around a point add up to 360

360-(86+86)=188

188/2=94

94 degrees

C

Answer:

94

Step-by-step explanation:

Step-by-step explanation:

B. Find the area of the base so as to calculate the volume of the prism

Answer:

Third option is the correct answer

Step-by-step explanation:

Given end points are: [tex] (x_1, \:y_1) \:\&\: (x_2, \:y_2)[/tex]

[tex] \huge\purple {\therefore Midpoint =\bigg(\frac{x_1+x_2}{2},\: \frac{y_1+y_2}{2}\bigg)} [/tex]

Answer:

[tex]x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}[/tex]

Step-by-step explanation:

Statement 1:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

Statement 2:

True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.

Statement 3:

False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.

Statement 4:

False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.

Statement 5:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

Statement 6:

False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.

Answer and Step-by-step explanation:

The answers are:

x + 105 = 180 (Supplementary angles = 180 degrees)

x = z (Vertical angles are congruent)

180 - z = y (Supplementary angles = 180 degrees)

#teamtrees #PAW (Plant And Water)

Answer:

10 ≥ 2(2.99) + 0.67b

10 ≥ 5.98 + 0.67b

4.02 ≥ 0.67b

6 ≥ b

David can buy 6 pounds of bananas at most.

Hope I helped <3

Answer:

(15, 5)

Step-by-step explanation:

In this equation, the distance in miles (d) would represent the input or x-axis value on a graph, while the time in hours (t) would represent the output or y-axis on a graph. Therefore, we can substitute d for the value of 15 and solve for t to get the point on the graph.

[tex]\frac{1}{3} * 15 = t[/tex]

5 = t

Finally, we see that if d=15 then t=5. This means that this would be represented on a graph as the point (15, 5)

Answer:

d

Step-by-step explanation:

if I divide the units of the scaled rectangle by the original you will get

[tex]18 \div 9 = 2 \\ 6 \div 3 = 2[/tex]

Answer:

C

Step-by-step explanation:

Area of the original one = 9 * 3 = 27 cm^2

Area of the scaled one = 18 * 6 = 108 cm^2

108 / 27 = 4