Adam builds model rockets. Where he lives, his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of Adam’s rocket at its highest point, as measured from sea level

Answer:

x = 83 degree

Step-by-step explanation:

x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)

x = 126 - 43

x = 83 degree

Answer:

83 degrees

Step-by-step explanation:

To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.

This equals 54 degrees.

Now, 54 + 43 equals 97.

Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.

Answer:

x<1

Step-by-step explanation:

x+5<6 - 6-5

x<1

Answer:

Z = {-1, 0, 1}

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Step-by-step explanation:

I guess that here we have:

Z = {x : x ∈ integers /  -2 < x < 2}

From this we know that:

Z contains only integer numbers.

Z contains only integer numbers that are larger than -2, and smaller than 2

Let's find these integers:

-1 is larger than -2 and smaller than 2

0 is larger than -2 and smaller than 2

1 is larger than -2 and smaller than 2

So our set is:

Z = {-1, 0, 1}

And in description method (just using words)

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Answer:

option A

Step-by-step explanation:

   [tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]

Therefore, slope of the given line is

                                                    [tex]m_ 1 = \ \frac{2}{3}[/tex]

Find the slope of the new line

The product of slope of  lines perpendicular to each other = - 1

That is ,

            [tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]

Find the equation of the line.

[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]

Answer:

∠ C = ∠ A + ∠ B

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, so

C = A + B

Answer:

4x^2-x-4

Step-by-step explanation:

f(x) = 4x^2-3 and g(x) = x+1,

(f - g)(x)= 4x^2-3 -( x+1)

Distribute the minus sign

            =4x^2-3 - x-1

Combine like terms

            =4x^2-x-4

Answer:

C

Step-by-step explanation:

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

Distribute the -

4x^2 - 3 - x -1

=4x^2-x-4

So c

Answer:

4.50

Step-by-step explanation:

divide 10 by 4. this equals 2.5, add the 2 dollars for fries and your answer is 4.5 dollars

Okay! When you are ready, let me know what you need help with. Just comment this answer!

What is the question here?

Answer:

t=3

Step-by-step explanation:

Heres why i think t=3

Replace the T in 3t+2

3x3+2

9+2=11

11=5t-4

Now Replace the t again by 3

5x3-4

15-4

11

11=11

T=3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

2 + 4 = 5t - 3t

6 = 2t

6/2 = 2/2t

t = 3

if this helps you, please mark brainliest!

Answer:

9

Step-by-step explanation:

a²+b

Substituting values,

=> (-2)^2+5

=> 4 + 5

=> 9

Answer:

9

Step-by-step explanation:

Where we have :- a = -2 & b = 5

plug the values

Answer:

1000 cm

Step-by-step explanation:

Recall that 100 cm = 1 m.

This results in the conversion factor    100cm

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

                                                                   1 m

Then 10 m times the conversion factor shown above yields 1000 cm

Answẻ:  34

25 ½ :3/4 = 34

Answer:

Below.

Step-by-step explanation:

25 1/2 = 51/2

We divide this by 3/4 :

51/2 / 3/4

= 51/2 * 4/3

= 17*2

= 34

So we can cut 34 pieces of length 3/4.

Answer:

13km

Step-by-step explanation:

Answer:

c=13km

Step-by-step explanation:

13 (by pythagorean triples)

or you could use the pythagorean theorem to find c:

5^2+12^2=c^2

25+144=c^2

c^2=169

c=13

Answer:

so this is what I got (i could be wrong)-- H=8 G=21 F=24 E=2

Step-by-step explanation:

3(7+10) = G + 30

21 + 30 = G+30 (mutilpy-3 times 7 and 10)

minus 30 from both sides

21=G

5(3 + H) = 15 + 45

15 + 5H = 15 + 45 (multipy- 5 times 3 and H)

minus 15 from both sides

5H = 45

divde both sides by 5

H=8

For E all you have to do is list out all the multiples that makeup 22 and 30 and you should find that 2 is the answer

Answer:

i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.

Answer:

its either -20 or -7

Step-by-step explanation:

i believe its -20 tho hope it helps

Answer:

-20

Step-by-step explanation:

a-5c

a = -5  and c=3

-5 -5(3)

Multiply

-5 - 15

-20

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

Answer:

35

Step-by-step explanation:

We use trignometry here

Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.

So we use the sin rule

sin90/97 = sin x/56

multiply 56 to the other side

56*sin90/97 = sin x

sin90=1

56/97 = sin x

x= sin^-1 (56/97)

x= 35.3

Round and you get 35

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

Answer:

6+3v

Step-by-step explanation:

(2+v) *3

Distribute

2*3 + v*3

6+3v

Answer:

Step-by-step explanation:

1/1044

6/30 x 5/29 x 3/28 x 7/27 = 1/1044

I think answer is 120 right?

Sorry if my answer is incorrect.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {120}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](8 + 52) \times [(9 - 7)2 \div 2][/tex]

➼[tex] \: (60) \times [(2)2 \div 2][/tex]

➼[tex] \: (60) \times (4 \div 2)[/tex]

➼[tex] \: 60 \times 2[/tex]

➼[tex] \: 120[/tex]

[tex]\sf\purple{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

40 oz of a 65% iron alloy contains 40 × 0.65 = 26 oz of iron.

x oz of a 42% alloy contains 0.42x oz of iron.

To end up with an alloy of 50% iron, Donna needs to use x oz of the 42% alloy such that

(26 + 0.42x) / (40 + x) = 0.50

Solve for x :

26 + 0.42x = 0.50 (40 + x)

26 + 0.42x = 20 + 0.50x

6 = 0.08x

x = 75

Answer:

14.55 square inches

Step-by-step explanation:

From the figure it is given that,

The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches

The slant height is l = 3.7 inch

Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.

The surface area of the cone is given as :

[tex]$A=\frac{2 \pi r l}{2}$[/tex]

[tex]$A=\frac{(2 \pi r) (l)}{2}$[/tex]

[tex]$A = \frac{(7.87) \times (3.7)}{2}$[/tex]

[tex]$A=\frac{29.119}{2}$[/tex]

A = 14.55 square inches

Amount of paper required = 14.55 square inches