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3 years ago

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the temperature at the south pole was -39degree f at 8am. at 3pm it was 10degree f, by how many degrees did the temperature rise

?

1 answer:

natita [175]3 years ago

6 0

Answer:

Step-by-step explanation: start at -39 degrees. You need to find how many degrees is between -39 and 10 degrees.

+39+10= 49 degrees risen

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Figure abcd is parallelogram. What are measures of B and D?

nika2105 [10]

Answer:

Both are 55

Step-by-step explanation:

To solve this problem, set the equations equal to each other, solve for n, then plug in the values

Solve for n:

1. 2n+15=3n-5

2. Add 5 to both sides

3. Now you have 2n+20=3n

4. Subtract 2n from both sides

5. You are left with n=20

Next, plug it in:

1. Replace all n's with 20

2. 2(20)+15=55

3. 3(20)-5=55

There you go! Hope this helps!

3 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

How do I simplify 55/35

Stolb23 [73]

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

8 0

3 years ago

Two decimal places for 28.4593

ladessa [460]

Truncated . . . 28.45 . / / / Rounded . . . 28.46 .

6 0

3 years ago

Read 2 more answers

The area of a rectangle is 228 sq feet if the length of rectangle is 12 feet what would be the width of the rectangle

zysi [14]

Well you do 228/12 to find your answer and that is 19 and to check you do 12*19=228

8 0

3 years ago