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3 years ago

50 points!!! please hurry i need this answer . see pic below

Mathematics

1 answer:

Elza [17]3 years ago

8 0

Sum of two Interiors=Exterior

$\\ \rm\rightarrowtail x+20+3x-7=7x-17$

$\\ \rm\rightarrowtail 4x+13=7x-17$

$\\ \rm\rightarrowtail -3x=-30$

$\\ \rm\rightarrowtail x=10$

m<NOP=7(10)-17=70-17=53

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A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes

Ket [755]

Answer:

13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

_____

The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

d = √((15t)² + (45+5t)²)

7 0

3 years ago

Simplify the question

zimovet [89]

Answer: 50.4537849152
Hope this helped!

8 0

3 years ago

Read 2 more answers

What is the answer for 4y^2=81

Elena L [17]

Answer:
either y = 4.5
or y = -4.5

Explanation:
To get the solution, we will need to isolate the y on one side of the equation.
This can be done as follows:
4y² = 81

 $\frac{4y^2}{4} = \frac{81}{4}$

y² = 20.25

y = +/- √(20.25)
either y = +√(20.25) = 4.5
or y = -√(20.25) = -4.5

Since there are no restrictions on the value of y, therefore, both answers would be accepted

Hope this helps :)

3 0

3 years ago

Read 2 more answers

D/dx [tan^-1 (x)] find the derivative

Eva8 [605]

From my notes I’ve the derivative of arctan(x)= 1/(1+x^2)

7 0

3 years ago

Figure out the x-intercept and y-intercept in given equation of the line. 6x + 2y = 12

kakasveta [241]

Answer:

x intercept=2

y intercept=6

Step-by-step explanation:

to find x and y intercepts, plug in 0 for x and y

x intercept-

6x+2(0)=12

6x=12

x=2

y intercept-

6(0)+2y=12

2y=12

y=6

5 0

3 years ago