Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x² + 10x + 27 = 0.

Completing the square leads to the equivalent equation (x + ___)² = ___.
.

Answer:

It should be 75.4

Step-by-step explanation:

The formula for a cylinders volume is V=[tex]\pi[/tex]r^2h

so plugging those in would be

V=[tex]\pi[/tex](2)^2(6)= 75.4

Hope this helps!

Answer:

66 cm^2

Step-by-step explanation:

12*6=72 cm^2 and to find the missing pience of the rectangle you multiply 3*2= 6 cm^2.

72 - 6 = 66

Answer:

h = 22.91 cm

Step-by-step explanation:

Given that,

The volume of a vase, A = 1330.2 cm³

Radius of the vase, r = 4.3 cm

We need to find the height of the vase. The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{1330.2 }{3.14\times (4.3)^2}\\\\h=22.91\ cm[/tex]

or

h = 23 cm

So, the height of the vase is equal to 23 cm.

Answer:

6/36 or 1/6

Step-by-step explanation:

To find the probability of rolling a number greater than 4, then rolling an odd number, you must multiply the probability of rolling numbers greater than 4 by the probability of rolling an odd number. In numbers 1-6, there are two number greater than 4: 5 and 6. The probability of an event is the specific factor over the total amount of results or objects. The probability of rolling a number higher than 4 is 2/6, or 1/3. In numbers 1-6, there are 3 odd numbers: 1, 3, and 5. The probability of rolling an odd number is 3/6, or 1/2. 3/6 times 2/6 is 6/36, and when simplified, it becomes 1/6.

Answer:

the percentage change on the drone is 42.86%

Step-by-step explanation:

The computation of the percentage change is shown below:

Since the helicopter was sold for $179.99

But amazon would be selling it for $125.99

So, the percentage change would be

= (Sale value -  sale value by amazon) ÷ ( sale value by amazon) × 100

= ($179.99 - $125.99) ÷ ($125.99) × 100

= 42.86%

Hence, the percentage change on the drone is 42.86%

Answer:

Step-by-step explanation:

area circle = πr²   or  π(d/2)²  but how to find the diameter?

The only angles I can see to calculate is in the small right triangle

The smaller angle on the right is ...

        sin Ф = opp/hyp = 6/10    Ф = 36.87°

This angle is the same as the small angle on the LARGE right triangle

So now I want to calculate the side (diameter) opposite the smaller angle

      sin Ф = opp/hyp = diameter/300 = sin 36.87°    

                  diameter = 300 sin 36.87°

                                  = 300 (6/10)

                                  = 180 ft

area circle = πr²   or  π(d/2)²

area circle =  π(180/2)²

area circle = 25446 ft²  which is close to answer A  25434 ft²

There is actual no need to find the sin Ф wasted step      

just use 6/10  small triangle     is similar to diameter/300   the large triangle

  opp / hyp small  6/10  = diameter/300    diameter = 180

  area circle =  π(180/2)²  = 25446

Answer:

From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26 A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen or an ace.

Step-by-step explanation:

Answer:

29° and 61°

Step-by-step explanation:

90=3y+5 + 9y-11

96=12y

y= 8

Answer:

??? what do you mean?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

48/8=6

divide each side by 8

Answer:

x = 6

Step-by-step explanation:

If you divide both sides of the equation by 8, then you end up with x = 6.

Answer:

the error is between steps 2 and 3. you cannot add 5x and 3. if a value has an x attached, then you can only add values that also have that variable attached. hopefully that made sense, lmk if you need more explaining :)

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

there cannot be two of the same x value's. It would make it a circle on the graph, or something close to that, which isn't a function.

Answer:

thy would not translate they would rotate

Answer:

it's 3

Step-by-step explanation:

Answer:4/15 of the portion of land is left to be mowed.

Step-by-step explanation:

Portion of Lawn mowed by Mr Strand =2/5

Changing to decimal we have 0.4

Portion of Lawn mowed by his son=1/3

Changing to decimal, we have 0.333

From this , we can deduce that Mr Strand mowed most of the Lawn.

Now to find the portion of Lawn remaining to be mowed

Let total portion be =1whole

Such that portion left to be mowed

=1-(2/5+1/3)

1- 6 + 5/15

1-11/15

15/15 -11/15

4/15 of the portion of land is left to be mowed.

Answer:

Yes, they are congruent.

Step-by-step explanation:

Supplementary angles equal up to 180°.

70+40 = 110

180 - 110 = 70.

Angle BAE is 70°.

And, angle ADC is 70° as well.

Therefore, the pink arcs are congruent.

Answer:

137 square feet

Step-by-step explanation:

To find the area of this figure, you will need to combine the area of the triangle and the rectangle. The area formula of a triangle is A = 1/2lw (l = length, w = width). You just find the area the same way you would the rectangle and the divide it by 2. 6 times 3 is 18, and 18 divided by 2 is 9. The area of the triangle is 9 square feet. To find the area of the rectangle, multiply the length and the width (16 and 8). The product is 128. 128 + 9 = 137.

Answer:

X = 9

Step-by-step explanation:

Question:

What is the surface area of the triangular prism?

Answer:

Step-by-step explanation:

8 x 6 x 2.5 is equal to the surface area

120

Answer:

The number of customers that would need to come in the café for the company to break even is 470.

Step-by-step explanation:

Given

Revenue = y = 10x ……………….…. (1)

Cost = x = 4,700 + 2x ……………… (2)

Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:

10x = 4,700 + 2x

10x - 2x = 4,700

x = 4,700 / 10

x = 470

Therefore, the number of customers that would need to come in the café for the company to break even is 470.

Answer:

AB = 10

Step-by-step explanation:

ΔABC ≈ ΔDEC

AB/5 = AC/DC

12AB = 120

AB = 120/12 or 10

Answer:

the answer is $10.

$2.40=1

n=4.5

= 4.5×2.40

=$10.80

Answer:

53.1

Step-by-step explanation:

i just took the test

Answer:

53.10

Step-by-step explanation:

Answer:

(x−9/3)=2    x = 5

Answer:

x = 5

Step-by-step explanation:

I hope this helps you! :D

Answer:

-6

Step-by-step explanation:

g(-4) here x = -4

So, we have to take g(x) = x - 2

g(-4) = -4 -2 = - 6

g(1) , here x = 1 ,

So, we have to take g(a)= -x +1

g(-1) = -1 + 1 = 0

g(-4) + g(-1) = -6 +0 = -6

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter r as a variable to represent the number of red Legos. The number of green Legos (g) is 7 less than the number of red Legos, or g = r-7. The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or b = 3r+2. The total number of Legos is the number of red + green + blue Legos, which can be represented as 65 = r+g+b.

Substitute the equations for g and b in. This should give you a final equation of 65 = r+(r-7)+(3r+2). To solve for the number of red Legos, first add up all of the terms to get 65 = 5r-5. Now add 5 to each side (70 = 5r). Finally, divide each side by 5 (r = 14).

To find the number of green Legos, substitute the number of red Legos (14) into the equation for the green Legos (g = r-7). This should get you the equation g = 14-7 which simplifies to g = 7.

To find the number of blue Legos, substitute the number of red Legos (14) into the equation for the blue Legos (b = 3r+2). This gives you the equation b = (3*14)+2. First, multiply 3 and 14 to get b = 42+2. Finally, add them together to get b = 44.

Answer:

3/1 km:2/1km

=3:2

=1,5km

I hope this helps you