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2 years ago

What is the value of b

Mathematics

2 answers:

SpyIntel [72]2 years ago

5 0

The answer is b equals 65°

ser-zykov [4K]2 years ago

4 0

Answer:

Step-by-step explanation:

2b=80º+50º

2b=130º

b=130º/2

b=65º

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The sum of two consecutive integers is 7. find the numbers

faust18 [17]

X + (x + 1) = 7

2x + 1 (-1) = 7 (-1)

2x = 6

2x/2 = 6/2

x = 3

x +1 = 3 + 1

x + 1 = 4

The two integers are 3, 4

hope this helps

4 0

3 years ago

Read 2 more answers

Nine times the input minus seven is equal to the output. If the input is -1, what is the output?

uranmaximum [27]

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$f(x) = 9x - 7$

$f( - 1) = 9( - 1) - 7$

$f( - 1) = - 9 - 7$

$f( - 1) = - 16$

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7 0

3 years ago

A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 45 m high, and its height is given by the formul

N76 [4]

Answer:

1) 125 meters

2) For 9 seconds.

Step-by-step explanation:

The rocket's height is given by the formula $-5t^2+40t+45$ .

Notice that this is a quadratic.

Part 1)

Since this is a quadratic, the highest height the rocket goes will be the vertex of our quadratic. Remember that the vertex of a quadratic in standard form is:

$(-\frac{b}{2a}, f(-\frac{b}{2a}))$

So, let's identify our coefficients. The standard quadratic form is:

$ax^2+bx+c$

Therefore, in this case, our a is -5, b is 40, and c is 45.

So, let's find the x-coordinate of our vertex. Substitute 40 for b and -5 for a. This yields:

$x=\frac{-(40)}{2(-5)}$

Multiply and reduce. So:

$x=-40/-10=4$

Now, substitute 4 for t to find the height. So:

$-5(4)^2+40(4)+45$

Evaluate:

$=-5(16)+40(4)+45$

Multiply and add:

$=-80+160+45=125\text{ meters}$

Therefore, the highest the rocket goes up is 125 meters.

Part 2)

To find out for how much time the rocket is in the air, we can think about after how many seconds after launch will the rocket land.

If the rocket lands, the height h will be 0. So, we can set our expression equal to 0 and solve for t:

$-5t^2+40t+45=0$

First, let's divide everything by -5. This yields:

$t^2-8t-9=0$

We can factor:

$(t+1)(t-9)=0$

Zero Product Property:

$t+1=0\text{ or } t-9=0$

Solve for t:

$t=-1\text{ or } t=9$

In this case, since t is our time in seconds, -1 seconds does not make sense. So, we can remove -1 from our solution set.

Therefore, 9 seconds after launch, the rocket will touch the ground.

Therefore, the rocket was in the air for 9 seconds.

And we're done!

6 0

3 years ago

4. Sandra has 35% of the money she needs. She has $105. How much more money does she need? Write the equation and solve.

guajiro [1.7K]

Answer:

36.75

Step-by-step explanation:

First is turn the percent into a decimal which would be 0.35.

Then multiply 0.35 with 105

Finally this would equal to 36.75

Note: Hope I got it right, if I didn't I am very sorry this is all I can really do. If I did get it wrong please comment and I'll try again.

5 0

2 years ago

The length of a rectangle is 9 inches more than the width. The perimeter is 38 inches. Find the length and the width (in inches)

andrew11 [14]

Answer:12

Step-by-step explanation:

7 0

3 years ago