A rectangle is 3 times as long as it is wide. The perimeter is 120 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Answer:

16.25

Step-by-step explanation:

6.5 + 5 = 32.5/2 = 16.25

Answer:

Translation: (x, y) ---> (x + 1, y)

Reflection: (x, y) ----> in the x-a

Answer:

B)

Step-by-step explanation:

You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B

Answer:

b is the answer

Step-by-step explanation:

Answer:

Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2) After 10 seconds.

Step-by-step explanation:

We have the function:

[tex]f(x)=-5x^2+40x+100[/tex]

Where f(x) represents the height x seconds after it is released into the air.

Part 1)

First, let's distribute a -5 out of the function:

[tex]f(x)=-5(x^2-8x-20)[/tex]

Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.

We can use -10 and 2. So:

[tex]f(x)=-5(x^2+2x-10x-20)[/tex]

Factor:

[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]

Hence, our factored form is:

[tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2)

We want to find after how many seconds does it take for the projectile to reach the ground.

If it reaches the ground, the height above the ground, f(x), will be 0.

So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:

[tex]0=-5(x-10)(x+2)[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+2=0[/tex]

Solve for x:

[tex]x=10 \text{ or } x=-2[/tex]

Since x measures time, -2 does not make sense in this context.

Therefore, our solution is x=10.

So, after 10 seconds, the projectile will hit the ground.

Answer:

x=3.72

Step-by-step explanation:

Answer: x = 3.72

Step-by-step explanation:

36.16 = 17.56 + 5x

-17.56 = -17.56

18.6 = 5x

Divide 18.6 by 5 and divide 5 by 5.

3.72 = x

Answer:

2

Step-by-step explanation:

take three off.

x+x=4

2x=4

x=2.

Hope this helps :D

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

Answer:

x= 15/2 im pretty sure

Step-by-step explanation:

We want to solve the given linear equation, we will find that the solution is x = -3.7

Here we have the equation:

3.8 = 2*x - 11.2

We want to solve this for x, so we can start by subtracting 11.2 in both sides to get:

3.8 - 11.2 = 2*x

-7.4 = 2*x

Now we can divide both sides by 2:

-7.4/2 = x = -3.7

So the solution is x = -3.7

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Answer:

x = -65

Step-by-step explanation:

To start off, we can create our equation. We know that "of" is just another word for multiply. We will then end up with [tex]\frac{2}{5}[/tex] * x = -26. To solve this equation, we will find [tex]\frac{2}{5}[/tex] of -26. To make things less confusing, lets take away the negative for now. 26 x 5 = 130 and 130 ÷ 2  is 65. We then add our negative back on and x = -65.

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

Answer: 9.

Step-by-step explanation:  First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.

Answer: The answer is 9.

Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D

Answer:

27/70

Step-by-step explanation:

This is simple: First, you multiply the numerators. 3x9 is 27. That is the numerator to your answer.

Next, you multiply the denominators. 7x10 is 70. That's the denominator to the answer.

Put them together and you get 27/70.

Hope I helped!!!

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

----------------------------------------------------

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

----------------------------------------------------

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

----------------------------------------------------

In this question:

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

A similar problem is given at https://brainly.com/question/16812463

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

Answer:

Here we want to calculate the 25% of $140.

Well, first we assume that:

$140 = 100%.

Now, assuming that, we can write the equation:

X = 25%

Where X is the 25% of $140.

Then we have the equations:

$140 = 100%

X = 25%

Let's take the quotient between these equations:

$140/X = (100%/25%)

Now let's solve this for X:

X = (25%/100%)*$140 = 0.25*$140 = $35

Then the tip will be of $35

35

you have to split 140 into 4 parts which is division

your  expression would be 140 divided by 4

Answer:

125 / 8 centimeters

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the cube

s = side length of the cube

if marie's cube has a side length of 2 1/2 centimerters

That is,

s = 2 1/2 cm

V = s³

= (2 1/2)³

= (5/2)³

= 125 / 8 centimeters

NOTE:

(5/2)³ = 5³ / 2³

= 5*5*5 / 2*2*2

= 125 / 8

Answer:

m∠VUS = 122

Step-by-step explanation:

m∠TUX = 122°

∴m∠VUS = 122°(vertically opposite angles are equal)

hope this helps you!!

The solution is, m∠VUS = 122

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the diagram, we get,

m∠TUX = 122°

∴m∠VUS = 122°

(vertically opposite angles are equal)

Hence, The solution is, m∠VUS = 122.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

7/12

Step-by-step explanation:

multiply 2/3 by 4 on both the numerator and denominator which is 8/12

8/12-1/12=7/12 (final answer because it cannot be simplified)

Answer:

I agree with none of them

Step-by-step explanation:

Given

[tex]Expression= 2^{28}[/tex]

[tex]Andre: 2 * 28 = 56[/tex]

[tex]Elena: 28 * 28 = 756[/tex]

Required

Who is correct?

[tex]Expression= 2^{28}[/tex]

When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places

i.e.

[tex]Expression= 2^{28}[/tex]

[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places

Andre's interpretation of the expression is incorrect as:

[tex]2^{28} \neq 56[/tex]

Also, Elena's expression is incorrect.

This is so, because

[tex]2^28 \neq 28*28[/tex]

Hence, both of them are incorrect and I agree with none of them

Answer: a

Step-by-step explanation:

Answer:

the answer is d. it is written in scientific notation.

Step-by-step explanation:

have a nice day!

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

Answer:

Step-by-step explanation:

yes

Answer:

0.41

Step-by-step explanation:

because its 0.41 it cant be reduced or messed with so your answer is 0.41

Answer:

B. [tex]s=\dfrac{1}{4}\times420[/tex]

Step-by-step explanation:

Total number of students surveyed = 420

Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]

The number of students that prefer rap is 105

So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].

Answer:

109°

Step-by-step explanation:

there are two ways to slove this kind of questions.

simply,x = 64 + 45

or x = 180-(180 - 64- 45)