Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

y=-16x^2+201x+132

Step-by-step explanation:

Since, the angles of the quadrilateral are in the ratio 1:2:3:4

Therefore, let their measures be x, 2x, 3x and 4x

By angle sum property of the interior angles of a quadrilateral.

[tex]x + 2x + 3x + 4x = 360 \degree \\ \\ 10x = 360 \degree \\ \\ x = \frac{360}{10} \\ \\ x = 36 \\ \\ \implies \: \\ 2x = 2 \times 36 = 72 \degree \\ \\ 3x = 3 \times 26 = 78 \degree \\ \\ 4x = 4 \times 36 = 144 \degree[/tex]

Answer:

448 miles

Step-by-step explanation:

If 5 hours = 320 miles

then 7 hours = ?

7 hours will give more so if more less divide

7hours ÷5hours × 320 miles

hours will cancel out

= 7÷5×320 miles

= 448 miles

Hence,Carla will travel 448 miles in 7 hours

Answer:

X=16

Step-by-step explanation:

2x-2+9=39

2x +7=39

2x=39-7

2x=32

Divide by 2

X=16

Answer:

55

Step-by-step explanation:

40+y+30+y=180

40+2y+30=180

70+2y=180

2y=110

y=55

Checking: 55+40+(55+30) = 55+40+55+30 = 180

Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps

Dont take my word not 100% sure

Answer:

1) 57°

2) 142°

3) 92°

4) 125°

5) 111°

6) 90°

Step-by-step explanation:

Assuming the 2 lines that look parallel in all of these problems, are actually parallel...

m<1 = 57° They are the same angle

m<HJK = 142° (again, same angle)

m<ABC = (4x = 3x + 23) solve for x

x = 23, then substitute 23 for x

4(23) = 92°

m<MPQ = (3x + 50 = 5x). solve for x

x = 25, then substitute 25 for x

3(25) + 50 = 125°

m<3 = 111° They are the same angle

m<4 = 90° If one angle is 90° where the lines cross, all of the angles are 90°

Answer:

1.25

Step-by-step explanation:

Answer:

I have fallen and I can’t giddy up!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Given that

Logan shelves 5 books and

Nathan shelves 6 books

They end shelving the same number of books.

To find:

Smallest number of books each could have shelved?

Solution:

First of all, let us have a look at the definition of Least Common Multiple(LCM) of two numbers.

Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.

Now, looking at the statement of the given question.

We have to find the LCM of both the numbers actually.

Making factors of the numbers:

[tex]5=5\times 1[/tex]

[tex]6=2\times 3[/tex]

Nothing is common here, therefore the LCM is [tex]5\times 6 =\bold{30}[/tex].

Smallest number of books shelved = 30

23-8x+5x+1

23-3x+1

24-3x

Answer: -3x+24

Answer:

17*

Step-by-step explanation:

180*-163*=17*

Answer:

$12

Step-by-step explanation:

Answer:

1. and 3.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

3/7 & 13/7

Step-by-step explanation:

Answer:

Perimeter = [tex]34\sqrt{2}[/tex] feet

Area = 60 feet²

Step-by-step explanation:

Let us revise the rules of perimeter and area of a rectangle

→ From the given figure

∵ The length = [tex]\sqrt{8}[/tex] feet

∵ The width = 5[tex]\sqrt{18}[/tex] feet

→ Simplify the roots

∵ [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]

∴ [tex]\sqrt{8}=2\sqrt{2}[/tex]

∴ The length = [tex]2\sqrt{2}[/tex] feet

∵ [tex]5\sqrt{18}=5\sqrt{(3)(3)(2)}[/tex]

∴ [tex]5\sqrt{18}=5(3)\sqrt{2}=15\sqrt{2}[/tex]

∴ The width = [tex]15\sqrt{2}[/tex] feet

→ Perimeter = 2(Length + width)

∵ Perimeter = [tex]2[2\sqrt{2}+15\sqrt{2}][/tex]

∴ Perimeter = [tex]2[17\sqrt{2}][/tex]

∴ Perimeter = [tex]34\sqrt{2}[/tex] feet

→ Area = Length × Width

∵ Area = [tex]2\sqrt{2}[/tex] × [tex]15\sqrt{2}[/tex]

∴ Area = [tex](2)(15)(\sqrt{2})(\sqrt{2})=(30)(2)=60[/tex]

∴ Area = 60 feet²

Answer:

5260000

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to calculate the displacement of the resort from Manuel's house using Pythagoras theorem.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next is to calculate the displacement of Manuel's friend house to Manuel's house.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The displacement of the two boys from the resort will be ∆S = S2-S1

∆S = 53.84-18.03

∆S = 35.81m

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

0

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

Answer:

step 2

Step-by-step explanation:

Answer: 1/5,0.4,1/2,0.75

Step-by-step explanation:    

Answer:

width:9

length: 12

Step-by-step explanation:

width: substitute for x

length: since the length is 3 cm greater than the width, we substitute it for x+3.

we know that you need to add all the lengths to find the perimeter, and we know that the perimeter of the rectangle is 42 cm, so our equation is formed.

x+x+x+3+x+3=42

4x+6=42

4x=36

x=9

width:9

length:9+3=12

To find this answer, it says that Max goes to the gym 3x longer than Ann. Ann only goes to the gym for 30 minutes.

Multiply the time that Ann goes by 3 to find the time that Max goes.

30 x 3 = 90

Which means, that Max spends 90 minutes at the gym. /

(To simplify, he goes to the gym for 1 hour and 30 minutes)

Answer:

the square root of five is irrational

Step-by-step explanation:

Answer:

A, I think

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

if f(6) you plug it into x

-3(6)-9

-18-9

-27

Answer:

2

Step-by-step explanation:

;\

Answer: Choice A

The two angles must be supplementary and adjacent to form a linear pair.

Adjacent angles are angles that touch and share a common line segment, line, or ray. Think of two rooms that share the same wall and how they are considered adjacent rooms.

Supplementary angles form a straight angle. They add to 180 degrees.