All categories

3 years ago

In Exercises 5 and 6, find each missing length.

Mathematics

2 answers:

stira [4]3 years ago

6 0

Answer:

6.21.4

Step-by-step

kati45 [8]3 years ago

3 0

The other side is 5 inches because if you square 3 you get 9 and if you square 4 you get 16 and 16+9 is 25 and the square root of 25 is 5 so the other side is 5

You might be interested in

You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each k

aksik [14]

14 quarters and 16 dimes
I think ?

8 0

3 years ago

Evaluate exactly without the use of a calculator (remember to rationalize any denominators). a.(cos 60o)(sin 270o) + tan 225o b.

Rom4ik [11]

Given:

The trigonometric expressions are given as,

$\begin{gathered} a)\text{ }(\cos 60\degree)(\sin 270\degree)+\tan 225\degree \\ b)-\tan 240\degree+(cos45\degree)(\sec 135\degree) \end{gathered}$

Explanation:

The given expression can be rewritten as,

$=(\cos 60\degree)(\sin (360\degree-90\degree))+\tan (270\degree-45\degree)\text{ . . . . .(1)}$

Since, from the trigonometric ratios,

$\begin{gathered} \sin (360\degree-90\degree)=-\sin 90\degree \\ \tan (270\degree-45\degree)=\cot 45\degree \end{gathered}$

On plugging the obtained ratios in equation (1),

$=(\cos 60\degree)(-\sin 90\degree)+\cot 45$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =\frac{1}{2}(-1)+1 \\ =-\frac{1}{2}+1 \\ =\frac{1}{2} \end{gathered}$

Hence, the exact value of the expression is 1/2.

The given expression can be rewritten as,

$=-\tan (270\degree-30\degree)+(\cos 45\degree)(\sec (90\degree+45\degree))\text{ . . . ..(2)}$

Since, from the trigonometric ratios,

$\begin{gathered} \tan (270\degree-30\degree)=\cot 30\degree \\ \sec (90\degree+45\degree)=-\csc 45\degree \end{gathered}$

On plugging the obtained ratios in equation (2),

$=-\cot 30\degree+(\cos 45\degree)(-\csc 45)$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =-\sqrt[]{3}+\frac{1}{\sqrt[]{2}}(-\sqrt[]{2}) \\ =-\sqrt[]{3}-1 \end{gathered}$

Hence, the exact value of the expression is -√3-1.

7 0

2 years ago

A small plane circles the airport at Daniel Field at 1500 feet altitude before starting to land. If the airport runway is 10,000

klio [65]

Small plane circles the airport the angle of depression would be 180

7 0

3 years ago

I need help on this question. I don't want to get a bad grade. -_-

ch4aika [34]

Answer:

60.84 m

Step-by-step explanation:

The perimeter is the distance around

The distance around the 3 sides of the rectangle are

15+12+15

Now we are going 1/2 way around the circle

That is 1/2 of the circumference

1/2 C = 1/2 pi *d

= 1/2 pi *12

= 6pi

Using 3.14 for pi

= 6 (3.14)

=18.84

Add these together

42+18.84

60.84 m

4 0

3 years ago

If a person rows to his favorite fishing spot 21 miles downstream in the same amount of time that he rows 7 miles

klio [65]

28 miles upstream requires 28/7 = 4 hours.

28 miles downstream requires 28/21 = 4/3 hours, or 1 hour and 20 minutes.

How long does it take him to cover 28 miles?

Apply the distance formula:

d = rt

where

d is distance

r is rate or speed

t is time

21 = t*(r+7) = rt+ 7t

7 = t *(r-7) = rt - 7t

28 = 2rt

14 = rt

21 = rt + 7t

21 = 14 + 7t

7 = 7t

t=1

21 = (r+7)*1 = r+7

r = 14

The speed of the boat is 14 mph. With the current (downstream), the speed is 14+7 = 21 mph, so 21 miles are traveled in 1 hour. Against the current (upstream), the speed is 14-7 = 7 mph, which means 7 miles are traveled in the same 1-hour time frame.

28 miles downstream requires 28/21 = 4/3 hours, or 1 hour and 20 minutes.

28 miles upstream requires 28/7 = 4 hours.

To learn more about sequences refer to:

brainly.com/question/340538

#SPJ9

8 0

2 years ago