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2 years ago

Find m∠C. Put the answer below. m∠C =

Mathematics

1 answer:

Wewaii [24]2 years ago

3 0

Answer:

∠ C ≈ 66.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = $\frac{opposite}{adjacent}$ = $\frac{DE}{CE}$ = $\frac{7}{3}$ , then

∠ C = $tan^{-1}$ ( $\frac{7}{3}$ ) ≈ 66.8° ( to the nearest tenth )

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A sound wave is traveling at 6,420m/s and has a frequency of 600Hz. What is the wavelength?

GaryK [48]

Answer:

10.7 m

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 6,420 m/s

The frequency of the wave, f = 600 Hz

We need to find the wavelength of the wave. We can find it using the below relation as follows :

$v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m$

So, the wavelength of the sound wave is equal to 10.7 m.

4 0

3 years ago

A motor club has estimated that a 325 mile car trip will take 6 1/2 hours. What is the club assuming to be the average speed mil

In-s [12.5K]

Answer:

The average speed that the club is assuming is 50 miles per hour

Solution:

We know that Distance = Speed × Time.

Here it is given that distance is 325 miles and the time to cover 325 miles is $6_{2}^{1}$ hours which is equal to $\frac{13}{2}$ hours.

Now to find the average speed mile per hour we use the formula

$\begin{aligned} \text { Speed } &=\frac{\text { Distance }}{\text { time }} \\ &=\frac{325}{\frac{13}{2}} \\ &=\frac{325 \times 2}{13} \end{aligned}$

By cancelling 325 by 13 we get 25

= 25 × 2

= 50 miles per hour

Thus the average speed that the club is assuming is 50 miles per hour.

3 0

3 years ago

a veterinarian needs to know animals weight in kilograms. if 20 pounds is about 9 kilograms and a dog weights 30 pounds, use a r

ahrayia [7]

For this case we have the following conversion:

20 pounds = 9 kilograms

To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

10 pounds = 4.5 kilograms

So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

kilograms 4.5 9 13.5

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

3 0

3 years ago

Read 2 more answers

In a race, 41 out of the 50 bicyclists finished in less than 38 minutes. What percent of bicyclists finished the race in less th

storchak [24]

For left put 2 on each
On the box over 100 put 82, and put 82 in the box on the right

5 0

2 years ago

Read 2 more answers

Need help!

siniylev [52]

Correct Inputs :-

In ΔABC right angled at A, D and E are points on BC, C such that BD = CD and AD ⊥ BC

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ Let us know about definition of altitude first. The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.

$\leadsto$ Median is the line segment from a vertex to the midpoint of the opposite side.

Let us Check all options one by one

CD is line segment which starts from vertex C but don't falls on opposite side AB thus it is not an altitude.❌

BA is line segment which starts from vertex B and falls perpendicularly on opposite sides AC and is thus an altitude.✔️

AD is line segment which starts from vertex A and falls perpendicularly on opposite side BC and is thus an altitude.✔️

AE is a line segment which starts from vertex A but doesn't falls perpendicularly on opposite side BC and is thus not an altitude.❌

AD falls on BC with D as mid point because BD = CD and is thus a median. ✔️

8 0

2 years ago