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Varvara68 [4.7K]

3 years ago

12

If it takes the wolf 42 minutes and 25 seconds to cover 10,000 meters, what is the wolf's average speed?

1 answer:

ivann1987 [24]3 years ago

6 0

Answer:

3.93 m/s

Step-by-step explanation:

In seconds, 42 min, 25 sec (s):

$(42 min)(60s/1min) = (42)(60) s = 2,520 s\\2,520 s + 25 s = 2545 seconds$

So now, we can calculate the average speed in meters per second (m/s) :

(10,000 meters) / (2545 seconds) = 3.93 m/s

Please let me know if you want this explained further!

Thanks!

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find the volume of a right circular cone that has a height of 14.7 ft and a base with a circumference of 13 ft

Doss [256]

Answer:

Volume of the cone =650.06 cubic feet

Step-by-step explanation:

Height of the cone= 14.7 feet

Circumference= 13 feet

Radius = 13/2 = 6.5 feet

Volume of the Cone:

$=\pi r^2\frac{h}{3}$

As, $\pi =\frac{22}{7}=3.14$

Putting the values in the formula:

Volume of the cone is :

$=3.14*(6.5*6.5)*\frac{14.7}{3} \\\\=3.14*(6.5*6.5)*4.9\\\\=3.14*42.25*4.9\\\\=3.14*207.03\\\\=650.06feet^3$

Volume of the cone is 650.06 cubic feet

8 0

3 years ago

7 x (-2) = ? * what’s the answer

Karolina [17]

Hey there!

<h3>Guide: </h3>

Negative & negative = positive
Positive & negative = negative
Positive & positive = positive
Negative & positive = negative

<h3>So, far <u>in your particular question we’re doing</u> <u>positive</u> (7) <u>&</u> <u>negative</u> (-2) so <u>that means your</u> <u>result will most likely be a negative </u></h3><h3 />

<em>Now let’s answer your question, shall we </em>

<h2>7 • (-2) =<em><u> -14</u></em> </h2>

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

3 0

2 years ago

The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. I

Elanso [62]

Answer:

$NK \approx 7.001$ , $MK = 2$ , $MF \approx 7.001$ , $A_{AMNFD} = 49.007$

Step-by-step explanation:

According to the statement, we find the following inputs:

$\angle MDK = \angle DMF = 45^{\circ}$ (Due to the condition of isosceles trapezoid)

$MD = 9$

$NF = 5$

Given than longer base and shorter base are parallel to each other, we conclude that:

$\angle KND = 180^{\circ} -\angle NKD - \angle KDN$

$\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}$

$\angle KND = 45^{\circ}$

$\angle FND = 90^{\circ}-\angle KND$

$\angle FND = 45^{\circ}$ (By definition of complementary angles)

$\angle FND = \angle NFM = 45^{\circ}$ (Due to the condition of isosceles trapezoid)

$\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}$

$\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}$ (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

$MO = DO = \frac{\sqrt{2}}{2}\cdot MD$ (By theorem for 45-45-90 Right Triangle)

$NO = OF = \frac{\sqrt{2}}{2}\cdot NF$ (By theorem for 45-45-90 Right Triangle)

If we know that $MD = 9$ and $NF = 5$ , then we find that:

$DO = MO \approx 6.364$

$NO = OF \approx 3.536$

The value of MK is obtained from the following relationship:

$MK = \frac{MD-NF}{2}$

$MK = \frac{9-5}{2}$

$MK = 2$

And the value of KD is calculated from this expression:

$KD = MD-MK$

$KD = 9-2$

$KD = 7$

Now by the Pythagorean Theorem we find that:

$NK = \sqrt{(NO+DO)^{2}-KD^{2}}$

$NK = \sqrt{9.9^{2}-7^{2}}$

$NK \approx 7.001$

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

$MF = NO + DO \approx 7.001$

Lastly, the area of the isosceles trapezoid is determined by the following formula:

$A_{AMNFD} = NF\cdot NK + MK\cdot NK$

$A_{AMNFD} = NK\cdot (NF+MK)$

If we know that $NK \approx 7.001$ , $NF = 5$ and $MK = 2$ , then the area of the figure is:

$A_{AMNFD} = (7.001)\cdot (5+2)$

$A_{AMNFD} = 49.007$

8 0

2 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

soldi70 [24.7K]

<em>See</em><em> </em><em>above</em><em> </em><em>graph</em>

I am joyous to assist you anytime.

4 0

3 years ago

Line FG contains points F(3,7) and G (-4,-5)

sdas [7]

What are you supposed to be finding? Give More Information Plz. <span />

3 0

3 years ago