The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.

Answers

Answer 1

9514 1404 393

Answer:

3/4vertical: 18 in; horizontal: 24 inno change

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.


Related Questions

Can a polyhedron have 10 faces, 14 vertices and 20 edges

Answers

Answer:

nope

Step-by-step explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q^2+7q

Answers

The square to make a perfect square trinomial as a binomial squared is

(q + 7/2q)² - 49/4.

We have been given that the expression -

q² + 7q.

We have to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form .

a² + 2ab + b².

To convert our given expression into perfect square trinomial, we need to add and subtract (b/2)² from our given expression.

We can see that value of b is 7, so we need to add and subtract (7/2)²  to our expression as:

To complete the square, we will add the square of the half of the coefficient of q to the equation

Coefficient of q = 7

Half of the coefficient = 7/2

Square of the result = (7/2)² = 49/4

Adding 49/4 to the equation will make it a perfect square to have

Upon comparing our expression with , we can see that ,

(a + b)² = a² + 2ab + b²

now we can get

q² + 7q + 49/4 - 49/4

(q + 7/2q)² - 49/4

Therefore, our perfect square would be (q + 7/2q)² - 49/4 .

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help me now where are you all helppppp​

Answers

Q7

7/25

(Decimal: 0.28)

Step-by-step explanation:

Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:

= 7/25

= 7 ÷ 25

= 0.28

To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)

1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10

show each step and break down

Answers

Answer:

The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]

Step-by-step explanation:

Step 1 of 4

[tex]\frac{48x+32y}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]

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

Step 2 of 4

[tex]\frac{9a-15b}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]

[tex]=\frac{3a-5b}{4}[/tex]

Step 3 of 4

[tex]\frac{6b+24c}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]

[tex]=\frac{b+4c}{3}[/tex]

Step 4 of 4

[tex]\frac{25a+5b+15c}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]

[tex]=\frac{5a+b+3c}{2}[/tex]

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F(x)=-2x^2-3
find f(2)

Answers

Step-by-step explanation:

f(x)=-2x²-3

By replacing x with 2, we get

f(2)=-2×2²-3

=-2×4-3

=-8-3

=-11

-y- 3 (-3y+5) helpppppppp

Answers

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

What is the value of f(0)? -2 -1 0 1most segment goes from (2, negative 4) to (3, negative 4). What is the value of f(0)? -2 -1 0 1

Answers

Answer:

[tex]f(0)=-2[/tex]

Explanation:

When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.

When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]

Answer:

2

Step-by-step explanation:

Which number is irrational?

Answers

Answer:

11 is the irrational number

Explanation:

Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.

Noel can stack 4 blocks in 2 seconds. At this rate, how many blocks can he stack in one minute?

Answers

Answer:

120

Step-by-step explanation:

There are 60 seconds in one minute so you would 4 times 30 since Noel can STACK 4 BLOCKS per 2 seconds.

25.5 divided by 1.25

Answers

Answer:

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

I have no explanation for this but hope this helps

Pedro is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2
gallons of ketchup, which he distributes evenly among 15 bottles.
How much ketchup goes in each bottle?
Write your answer as a proper fraction or miye
mbar

Answers

Answer:

estuvo muy Bien jwjejehebqkwjshhshshshhebwwhwbhwhwuwjwywgegevwhwvwgww

Answer:

Naosei

Step-by-step explanation:

Please solve its due tomorrow

Answers

Answer:

8. 16,648

9. 1,394

10. 3

11. 9,570

Step-by-step explanation:

8. Total means all together so you need to add all of the attendants together.

2118 + 3391 + 4785 + 6354 = 16,648

9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)

4,785 - 3,391 = 1,394

10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)

6,354 / 2,118 = 3

11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).

4,785 x 2 = 9,570

Hope this helped! <3

If m ABC=122 and m ABD=71 then m DBC =

Answers

Answer:

Angle DBC = 51

Step-by-step explanation:

Angle ABC = angle ABD + angle DBC

We are given that angle ABC = 122 and angle ABD = 71

So 122 = 71 + angle DBC

* Solve for angle DBC *

Subtract 71 from both sides

122 - 71 = 71 - 71 + angle DBC

51 = angle DBC

Answer:

m∠DBC = 51°

Step-by-step explanation:

m∠ABC = 122°

m∠ABD = 71°

m∠DBC = m∠ABC - m∠ABD

m∠DBC = 51°

Write a simplified expression, in terms of y, for both area and perimeter of the triangle below

Answers

Answer:

Area: [tex]27y^{3} -24y^{2}[/tex]

Perimeter: [tex]6y^{2} +7y+5[/tex]

Step-by-step explanation:

Area:

[tex]\frac{1}{2}[/tex] x base x height

[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]

Perimeter:

[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]

Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)

Answers

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equalvalue, will be $10.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

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simplify square root of 3/8

please give steps!!

Answers

Step-by-step explanation:

Write the expression

[tex] \sqrt{ \frac{3}{8} } [/tex]

Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so

[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]

Know that

[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]

So

[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]

The simplified form of the square root of 3/8 is (√6) / 4.

To simplify the square root of 3/8, we can simplify the numerator and denominator separately.

For the numerator, we take the square root of 3:

√3

For the denominator, we take the square root of 8:

√8

Now, let's simplify each of them:

√3 cannot be simplified further because 3 is a prime number.

√8 can be simplified by factoring out the perfect square:

√8 = √(4 × 2)

Since 4 is a perfect square (2² = 4), we can take it out of the square root:

√8 = 2√2

Now, let's put the simplified numerator and denominator together:

√3/8 = √3 / (2√2)

To rationalize the denominator, we multiply the expression by the conjugate of the denominator:

(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)

Simplifying the denominator:

(√3√2) / (2√4) = (√6) / (2 × 2)

Simplifying further:

(√6) / (2×2) = (√6) / 4

Therefore, the simplified form of the square root of 3/8 is (√6) / 4.

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Which of the following is a basic equation?

A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6

Answers

Answer:

A. b + 3 = 5

 [tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?

A 5,125
B 5,000
C 1,362
D 1,131
E 1,064

Answers

Answer:

A = P (1 + i)^n     where the principal P equals amount A after n periods

P = 1000     and i = .025 / yr

A1 = A (1.025) = 1025

A2 = A1 (1.025) = A (1.025)^2     etc

A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years

Find NL. Not sure to to solve this.

Answers

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

X+24 =2(x+16)
X +24 = 2x +32
24-32= 2x-x
X = -8
NL = x+24
NL = -8+24
NL = 16

What is the quotient of the following division problem?
58/8=

Answers

Answer:

7.25 or 7 ¼ or 56 R2

Step-by-step explanation:

Answer:

In Calculator, Quotient is 7.25

                   0      7  

   8 ⟌ 5 8  

     - 0    

       5 8  

     - 5 6  

         2  

But when we do long division the quotient is 7 and remainder is 2.

Hope it helps!

Don't forget to mark me brainiest if you got it correct.


Please help meeeeeweeeeeeeeeeee​

Answers

5.) 1/4 2/5 1/2 5/8 4/6

A. < , > , <
B. > ,< , >
C. > ,< , > ,<, <
6/8 > 6/10

Select two ratios that are equivalent to 7:107:107, colon, 10.

Answers

107: 107 are equivalent ratios

Answer:

107:107

Step-by-step explanation:

107:107 are the equivalent ratios as both numbers are same.

Find the 10th term in the sequence.

1/2, -1, 2, -4

1. 512
2. 125
3. -256

Answers

Answer:

tenth term is -256

Step-by-step explanation:

It is geometric progression:

[tex]a_{n} = a( {r}^{n-1} )[/tex]

r » common ratio, r = 2 ÷ (-1) = -2

a » first term, a = ½

n » number of terms, n is 10

[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]

Step-by-step explanation:

everything can be found in the picture

Which expressions is equivalent to 3x (2x– 3)?
(hint: select ALL that apply. Remember to distribute!)

Answers

Hi ;-)

[tex]3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}[/tex]

[tex]3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you[/tex]

Which graph represents this equation?
y =
-*12 + 2x - 2

Answers

Answer:

I may be wrong but I'm pretty sure that it is -12

Step-by-step explanation:

2×-2=0 -12+0=-12

for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45

Answers

Answer:

37.5%
Explanation:

0.375

The percentage of 45 out of 120 is 38%  thus 38% calories from fat.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Total calories = 120

Calories from fat = 45

Fraction of calories from fat = 45/120 = 0.38

Percentage of calories from fat out of total calories ⇒

(45/120) × 100 = 38%

Hence "The percentage of 45 out of 120 is 38%  thus 38% calories from fat".

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11) There are 32 students in a closs. Nine of those students are
women. What percent ere mena (round to the nearest tenth)

Answers

I’m assuming you mean what percent are men.

So based off that, you would subtract the 9 women from the 32 total students. That would result in 23 students that are men.

Now to find that percent, take the 23 men and divide it by the total students- 32. So 23/32. And that would be 0.71875. But rounded to the nearest tenth is 0.7.

Final answer: 70% of the class is men.

Please help me make you show how to solve it please

Answers

Answer:

4 (-1 - 2(2)) + 3(-1(2)

4(-1 -4) + -6

4 (-3) + -6

-12 + -6

-18

Step-by-step explanation:

you replace the x with -1 and y with 2

Find the area of a circle with a diameter of 10 feet using pi=3.14

Answers

Answer:

78.5 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 10/2 = 5

A = 3.14 ( 5)^2

A = 78.5 ft^2

3 friends share 2 pizzas evenly. About how much pizza will each friend get?

Answers

Answer:

2/3

Step-by-step explanation:

Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.

Each person gets 1/3 + 1/3 which is called 2/3.

The amount of pizza each friend will get, as expressed as a fraction is: 2/3.

What are Fractions?

Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.

There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.

Each friend will get: 2/3 pizzas.

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