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3 years ago

15

What is the sum of 4ft 4 in and 1 ft 11in

2 answers:

Umnica [9.8K]3 years ago

7 0

6 feet and 3 inches

Nataliya [291]3 years ago

3 0

Answer:

6ft 3in

Step-by-step explanation:

4ft + 1ft = 5ft

4in +11in= 15in

15in =1ft and 3in

5ft+ 1ft 3in= 6ft 3in

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Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?

Katyanochek1 [597]

Answer:

1st Option

Step-by-step explanation:

Average rate of change formula: $\frac{f(a) - f(b)}{a-b}$

Simply plug in 8 as a and 6 as b.

4 0

3 years ago

Read 2 more answers

What is x if (4x+5)+(x^2+10)=180

stich3 [128]

Answer:

x= 11, -15

Step-by-step explanation:

(4x + 5) + x^2 +1 0) = 180

x^2 + 4x + 15 = 180

x^2 + 4x + 15 - 180 = 0

x^2 + 4x - 165 = 0

x = 11, -15

8 0

3 years ago

A 15-ft ladder leans against a wall. The lower end of the ladder is being pulled away from the wall at the rate of 1.5 ft/sec. L

Aleks [24]

Answer:

The top of the ladder is sliding down at a rate of 2 feet per second.

Step-by-step explanation:

Refer the image for the diagram. Consider $\Delta ABC$ as right angle triangle. Values of length of one side and hypotenuse is given. Value of another side is not known. So applying Pythagoras theorem,

$\left ( AB \right )^{2}+\left ( BC \right )^{2}=\left ( AC \right )^{2}$

From the given data, $L=15\:ft=AC$ , $y=9\:ft=AB$ and $x=BC$

Substituting the values,

$\therefore \left ( 9 \right )^{2}+\left ( x \right )^{2}=\left ( 15 \right )^{2}$

$\therefore 81+x^{2}=225$

$\therefore x^{2}=225-81$

$\therefore x^{2}=144$

$\therefore \sqrt{x^{2}}=\sqrt{144}$

$\therefore x=\pm 12$

Since length can never be negative, so $x= 12$ .

Now to calculate $\dfrac{dy}{dt}$ again consider following equation,

$\left ( y \right )^{2}+\left ( x \right )^{2}=\left ( l \right )^{2}$

Differentiate both sides of the equation with respect to t,

$\dfrac{d}{dt}\left(y^2+x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

Applying sum rule of derivative,

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(225\right)$

Applying power rule of derivative,

$2y\dfrac{dy}{dt}+2x\dfrac{dx}{dt}=0$

Simplifying,

$y\dfrac{dy}{dt}+x\dfrac{dx}{dt}=0$

Substituting the values,

$9\dfrac{dy}{dt}+12\times1.5=0$

$9\dfrac{dy}{dt}+18=0$

Subtracting both sides by 18,

$9\dfrac{dy}{dt}=-18$

Dividing both sides by 9,

$\dfrac{dy}{dt}= - 2$

Here, negative indicates that the ladder is sliding in downward direction.

$\therefore \dfrac{dy}{dt}= 2\:\dfrac{ft}{sec}$

7 0

3 years ago

A scale on a map shows that 2 inches = 25 miles.

Bad White [126]

4.8 inches would be equal to 60 miles.

3 0

3 years ago

Imagine reflecting triangle ABC across line MN. Then answer the questions about the reflected figure.

EastWind [94]

Answer:

triangle

Step-by-step explanation:

Reflection of an figure across any line is the mirror image of the figure.

That means reflection of a figure is a rigid transformation, in which size or shape of the image doesn't change.

Therefore, when we reflect triangle ABC across the line MN shape of the reflected angle will remain same as a triangle.

4 0

3 years ago