The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths of ABC (Round to the nearest hundredth)

First simplify the equation of parabola y=-5x^2+15x-10 in the following way:

D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).

You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

B and D

Step-by-step explanation:

I'm pretty sure its B because an acute angel measure less than 90°

Answer:

Step-by-step explanation:

This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.

We can form the expression

[tex]A = \frac{O}{2}[/tex]

Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}

Using all the given information, we have

[tex]O + \frac{O}{2}=180\°[/tex]

Solving for [tex]O[/tex], we have

[tex]\frac{3O}{2}=180\\ O=120\°[/tex]

Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.

Answer:

D

Step-by-step explanation:

it translated into housework in other words chore. hope this helps :)

Answer:

D

Step-by-step explanation:

-

Answer:

0.2924

Step-by-step explanation:

Use a calculator.

cos 73 deg = 0.2924

Answer:

Proper fraction.

Step-by-step explanation:

[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]

Answer:

18 1/2

Step-by-step explanation:

1/2z = 9 1/4

1/2z = 37/4

z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)

z = 18 1/2

Answer:

∠3 = 140°

Step-by-step explanation:

∠4 = 40°

∠4 = ∠1 (vertical angles)

∠1 = ∠2 (alternate angles)

∠2 = 40°

So,

∠2+∠3 = 180 [Angles on a straight line add up to 180°]

40 + ∠3 = 180

∠3 = 180-40

∠3 = 140°

Answer:

Angle 3 = 140°

Step-by-step explanation:

Angle 4 is equal to 40° and on a flat surface of 180°, that is, the first horizontal line, angle A is equal to 140° because 180° - 40° = 140°. Angle A is congruent to angle 3, therefore, angle 3 is also 140°.

36,6,36

and btw what episode u on on naruto yah weeb

Answer:

C. $452115.44

Step-by-step explanation:

To solve this, we will follow the steps below;

first write down the formula for  compound interest

A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt

where A is the ending amount

P represent the principal

r represent the interest rate

n represent the number of compounding a year

t represent the time {in years)

from he question above

p= $318 000

r = 0.071

n = 4  since is quarterly

t= 5

we can now proceed to insert the values into the formula

A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt

  =318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)

  = $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20

   =$318 000 [1+0.01775] ^20

    = $318 000 [1.01775] ^20

     =$318 000× 1.421747

      ≈$452 115.44

He will have $452 115.44 in the account

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The number of guests is the independent variable and should be between 1 and 50.  We can use a scale of 10's

The cost is the dependent variable and the minimum cost is 100 and should rise from there

The scale would be from 100 's

Answer:

x=S/4

Or

x=S(1/4)

Step-by-step explanation:

Surface Area(S)=4x

Where

x=length

Inverse by solving for x without switching the variables

S=4x

Divide both sides by 4

S/4=4x/4

S/4=x

x=S/4

Or can also be written as

x=S(1/4)

Answer:

Step-by-step explanation:

Given the formula ui = xi - 25 / 10

Note that the general formula for calculating ui = xi-A/n where;

A = assumed mean

n = class size

On comparison with the given equation, A = 25 and h = 10

Also arithmetic mean  x = A + {h * sigma(fiui) /sigma(fi)} where;

sigma(fiui) = 20 and  sigma fi = 100

Substituting the given value to get the mean x;

x = 25+ (10*20/100)

x = 25 + (200/100)

x = 25 + 2

x = 27

The arithmetic mean is 27

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by  [tex]3x+3\leq 30[/tex].

'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]

So, Gina would have a maximum of 9 hours to swim in the pool.

Hope this helps.

Answer:

Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.

Answer:

5. 48

6. 33

7. -16

8. -7

Step-by-step explanation:

[tex]5. \\8(10-4)=\\80-32=\\48[/tex]

[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]

[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]

[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]

Answer: 30%

Step-by-step explanation:

1/5th of students = 1/5 x 40 = 8

If 4 more students join, they will be (8+4) 12 students

Percentage will be 12/40 x 100 = 30%

Answer:

340

Step-by-step explanation:

No. of  seats in theater 1 = 270

Let the no. of  seats in theater 3 be x

given that

There are 150 more seats in Theater 2 than in Theater 3.

no. of  rooms in theater 2 =  no. of  rooms in theater 3 + 150

                                          x + 150

Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420

It is also given that total capacity is 800 seat

thus

Total numbers of seats in all the theater = 800

2x+420 = 800

=> 2x = 800 - 420 = 380

=> x = 380/2 = 190

Thus, no of rooms in theater 3 is 190.

No. of rooms in theater 2 is x + 150 = 190 + 150 = 340  ---> Answer

Answer: x = 3.5y

Step-by-step explanation:

3.5 teaspoons of sugar (y) per tart (x) would look like this

You multiply 3.5 by y to equal x divided by 3.5

x = 3.5y

Answer:

C = 6pi cm

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 6pi cm

Answer:

From the graph, the slope of line p is 3 and the slope of line q is -3.

Answer: (1) Measure of angle K = x degrees

(12) Measure of angle L = (5x) degrees

(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees

Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.

The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;

Angle K = x degrees

Angle L = 5x degrees

Angle N = 8x - 16 degrees

Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;

x + 5x + 8x - 16 = 180

14 x - 16 = 180

Add 16 to both sides of the equation

14x = 196

Divide both sides of the equation by 14

x = 14

Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)

*14 + 70 + 96 = 180*

Answer:

145

Step-by-step explanation:

Answer:

The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.

Step-by-step explanation:

Answer:

Fraction =  13/20

Decimal =  0.65

Percent = 65%

Step-by-step explanation:

Given:

13 out of 20 emails in mail inbox are junk emails

Solve for:

The experimental probability that next email is junk

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

The number of elements (junk emails) = 13

The total number of elements (all emails) = 20

=> P(obtain odd number in experiment) in fraction form = 13/20

=> P(obtain odd number in experiment) in decimal from = 0.65

=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%

Hope this helps!

:)

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan

Answer:

By the Pythagorean Theorem

[tex]DB=\sqrt{AD^2+AB^2}=\sqrt{8.9^2+17.6^2 } =19.72232[/tex]

In the figure triangles ABD(red) and ADE(green) are similars because:

AED=DAB=90

ADE common angle

Then  [tex]\frac{AD}{BD}= \frac{AE}{AB}=\frac{DE}{AD}[/tex]

[tex]b=AE=\frac{AD\times AB}{BD}= \frac{8.9\times 17.6}{19.72}=7.94227[/tex]

Answer:

Its the first one

Step-by-step explanation:

10 and x is Greater than -2

Answer:

0.8

Step-by-step explanation:

Divide the total price by how many ounces of lemonade to find the unit price.

The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Now,

Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Hence, The unit price = 39.60 / 49.5 dollars per ounce.

                                  = 0.8 dollar per ounce.

Thus, The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

Learn more about the divide visit:

https://brainly.com/question/29332450

#SPJ2