Triangle FGH wasdilated using a scale factor of 1/2 to create triangle PQR
which statement is true?

Answer:

A. Yes

B. 5 : 1

Step-by-step explanation:

Case 1

Friends : strangers

20 : 15

4 : 3

Case 2

Friends : Strangers

4 : 3

Ratio of friends

Case 1 : Case 2

20 : 4

5 : 1

Answer:

the original cost is $30 , the percent of the markup is 30% , the markup amount is $9 , the new price is $39.

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The original cost is

✔ $30

.

The percent of the markup is

✔ 30%

.

The markup amount is

✔ $9

.

The new price is

✔ $39

.

Answer:

Attached the answer below!!

Step-by-step explanation:

Hope this Helps!!

Answer:

b = -2 2/3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

-3b + 5 (-5) = 13 (-5)

-3b = 13 - 5

-3b = 8

Next, divide -3 from both sides:

(-3b)/-3 = (8)/-3

b = -8/3

b = -2 2/3

~

Answer:

The correct answer is 166

Step-by-step explanation:

I just toke the test and got it right :)

The maximum number of copies Aiden can make is 166.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, Aiden has $15.00 on his copy card.

Each time he uses the card to make a photocopy, $0.06 is deducted from his card.

Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished.

we need to find, the maximum number of copies Aiden can make,

The inequality below relates x, the number of copies he can make, with his copy card balance.

15 - 0.06x ≥ 5

15 - 5 ≥ 0.06x

10 ≥ 0.06x

x ≥ 10/0.06

166 ≥ x

Hence, the maximum number of copies Aiden can make is 166.

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Answer:

Samuel is 18 and Samuel's father is 40

Step-by-step explanation:

Let F be Samuel's father's age

Let S be Samuel's age

F = 2S + 4

F - S = 22

F = 40

S = 18

Answer:

samuel is 18 and his father is in his 40s

Step-by-step explanation:

Answer:

answer is c but i think it is to late

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Original price = $365

Price with 20% off = 80% of original price

                              = 365 x [tex]\frac{80}{100}[/tex]

                              = 365 x [tex]\frac{4}{5}[/tex]

                              = 73 x 4

                              = $292

Therefore, the price of the system with the discount is $292.

Answer:

a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]  

And rounded up we have that n=1849

b) [tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]  

And rounded up we have that n=1423

c) For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a

Step-by-step explanation:

Part a

The critical value for a confidence level of 99% is for this case [tex]z_{\alpha/2} =2.58[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't know any estimate for the true proportion we can use [tex]\hat p =0.5[/tex] as a godd estimator. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]  

And rounded up we have that n=1849

Part b

For this case we have a prior estimate [tex]\hat p =0.26[/tex] and replacing we got:

[tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]  

And rounded up we have that n=1423

Part c

For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a

Answer:

True.

Step-by-step explanation:

When we look at a cylinder, it has be observed that it has 3 parts or 3 shapes to it.

These 3 parts or shapes are referred to as the net of a cylinder.

This 3 parts include

a. A circle at the top

b. A circle at the bottom.

c. A rectangle.

The circle at the bottom gives us the base of the cylinder while the rectangle is curved when forming the cylinder and it is due to this that we have the curved surface area of the cylinder.

It is important to know that there is a relationship between the length of one of the edges of the rectangle and the circumference of the base of the cylinder such that, the length of one of the edges of the rectangle is equal to or equivalent to the circumference of each circular base.

Answer:

Um i think you forgot to give us the answer choices

any way here is my answer ( x + M /2 )↑ 2 + m − M↑ 2/4

Step-by-step explanation:

What i did was use the formula (b/2)↑2 to create a new term to complete the square

The "/" signifies a fraction

the "↑"  signifies a exponent.

Hope it helps.

Answer:

Step-by-step explanation:

In one hour = 2/3/1/5

= 10/3 lawn

Hope this helps you out!

Answer:

Marginal Credit

Step-by-step explanation:

I actually have no clue.

Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]

150 = [tex]\frac{1}{3}[/tex] x 3.14 x 10 x 10 x h

150 x 3 = 314 x h

h = 450/314

h = 1.43 inches

The requried height of the cone with a volume of 150 in² is given as 1.43 in.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
Volume of the cone = 1/3 πr²h

From the quesiton we have,
r = 20/2 = 10 in and volume = 150
150 = 1/3 × 3.14 × 10² × h
h = 1.433 in

Thus, the requried height of the cone with a volume of 150 in² is given as 1.43 in.

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Answer:

1/2

Step-by-step explanation:

There are 2 sides to a coin, heads and tails

P (tails) =number of tails/ total

           = 1/2

Answer:

a=2, b=0, c = -150

Step-by-step explanation:

The standard form of an equation is ax² + bx + c

In this case our equation is 2x² - 150

Here our a is 2, there is no b so b is 0, and c is -150

Para encontrar el
área total y el volumen del prisma triangular, primero calculamos el área de la base usando la fórmula para el área de un triángulo equilátero y luego calculamos el volumen y el área total usando esta área de base y la altura del prisma.

Para hallar el

área total
y el volumen de un prisma triangular con una altura de 6 cm y una base que es un triángulo equilátero de lado 5 cm, primero calculamos el área de la base. La fórmula para el área de un triángulo es A = (base
× height) / 2. En un triángulo equilátero, la altura se puede encontrar usando la fórmula height = (sqrt(3)/2)
× lado. Por lo tanto, la altura es height = (sqrt(3)/2)
× 5 cm.

Calculamos el área de la base (Abase) como Abase = (5 cm
× (sqrt(3)/2)
× 5 cm) / 2 = (5
× 5
× sqrt(3)) / 4, y luego redondeamos el resultado a dos cifras decimales para obtener el área de la base en centímetros cuadrados.

El volumen del prisma (V) es el producto del área de la base y la altura del prisma, por lo que V = Abase
× height. El área total del prisma es la suma del área de las tres caras rectangulares (Area laterales = perímetro de la base
× altura del prisma) más el doble del área de la base (Area total = Area laterales + 2
× Abase).

Para concluir, aplicamos los valores y calculamos tanto el
área total como el
volumen del prisma triangular, redondeando cada uno a dos cifras decimales.

Answer:

45

Step-by-step explanation:

let the longer tape be x

shorter tape be y

given

x+y=135⇒equation 1

also given

2y=x⇒equation 2

subtituting eq2 in eq1

2y+y=135

3y=135

y=135/3=45

hope this helps

Final answer:

The length of the shorter piece of tape is 45 centimetres after cutting a 135 centimetre tape into one piece that is twice as long as the other.

Explanation:

A length of tape is 135 centimetres long and it is cut into two pieces where the first piece is twice as long as the second piece. To solve this, let the length of the shorter piece be x centimetres. Therefore, the longer piece would be 2x centimetres long.

The total length of the tape is the sum of the lengths of both pieces, which gives us the equation:

x + 2x = 135

Combining like terms, we get:

3x = 135

Dividing both sides by 3, we find:

x = 135 / 3

x = 45

Therefore, the length of the shorter piece of tape is 45 centimetres.

Answer:

b

Step-by-step explanation:

just did it on edge

Answer:

The solution will experience an instant colour change because thiosulphate which is meant to be used as a clocking or Redox reagent which would have to react with iodine is absent.

Step-by-step explanation:

Thiosulphate is a chemical reagent that is used in chemical reactions such as titrations.

Thiosulphate is used as in the chemical reaction called Iodometry. This is a reaction whereby Thiosulphate is used as reactant and it is titrated against iodine in order to obtain an endpoint.

If Thiosulphate is not added to the test tube, there would be a colour change that occurs instantly because Thiosulphate did not react with iodine.

Without thiosulfate in a chemical reaction, students might observe an unchecked reaction progression, an absent color change, or the non-formation of a precipitate, which could significantly alter the expected outcome of the experiment.

If a group of students forgot to add thiosulfate to one test tube during an experiment, they would likely observe changes in the reaction that the thiosulfate was intended to affect. Depending on the specific experiment, the absence of thiosulfate could result in a faster reaction rate, lack of a particular color change, or the non-formation of a precipitate if thiosulfate is used as a reagent to react with a specific analyte. In general, thiosulfate is often used as a titrant or a reducing agent in various chemical reactions.

For example, in a reaction where thiosulfate is used to quench iodine, forgetting to add it would result in a permanent dark/starch-iodine complex, indicating that the reaction has gone to completion without being stopped by the thiosulfate. In another example, in silver-based photographic processing, thiosulfate is used to remove excess silver halide from developed film or paper; without it, the remaining silver halide would cause the material to be overly dark or discolored.

In the context of the provided information, if thiosulfate were supposed to quench a reaction or produce a specific analytical result, its absence would alter the expected outcome, potentially leading to incorrect conclusions. Observations without thiosulfate could include an unchecked reaction progression or the non-formation of anticipated reaction products.

Answer:

d

Step-by-step explanation:

ddddddd

Answer:

d

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

3/3 = one whole one

3/3 - 2/3 = 1/3

Answer:

1/3.

Step-by-step explanation:

You will either have homework or not . These are the only possibilities, so:

Probability of not having homework = 1 - 2/3 = 1/3.

Answer:

The correct answer is the third graph

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

[tex]\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}[/tex]

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a  branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of  θ  then [tex]r=\sqrt{x^2+y^2}[/tex]

[tex]r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17[/tex] units

[tex]\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}[/tex]

Answer:

25

Step-by-step explanation:

10 is 5 times the amount of 2 and by multiply 5 by 5 you would get 25

Answer:25

Step-by-step explanation:

Step-by-step explanation:

180(Vertically opposite angle)

Step-by-step explanation:

As you can see in the diagram, all of the angles come together and form a circle. Circles have a sum of 360°. We can use this information to answer the problem.

[tex]360 - (35 + 180)[/tex]

[tex]360-215[/tex]

[tex]145[/tex]

So, the measurement of x is 145°

Answer:

The answer is C.

Step-by-step explanation:

Answer:

Upper Quartile- $11.00

Lower Quartile-$8.75

Step-by-step explanation:

I got them right

Answer: x = ~6.928

Step-by-step explanation:

To find the value of X. we can use the sine of the angle:

sin (angle) = opposite / hypotenuse

sin (60) = opposite / 8

Solving for this, we get 6.928 for the opposite side.