The largest tree in the United States is growing in Sequoia National Park in California. The tree is a giant sequoia whose trunk is roughly circular and has a circumference of 998 inches. Find the diameter of the tree. Use 3.14 for pi and round your answer to the nearest tenths place.

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

Answer:

[tex]\sqrt{122}[/tex]

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]

So the correct option is (c).

Answer: 4950 cubic centimeters.

Step-by-step explanation:

We know that, the volume of box = Base area x height

Given: area of the base of a box  = 825 sq. centimeters

height = 6 centimeters.

Then, Volume of the box in cubic centimeters = 825 x 6

= 4950 cubic centimeters.

hence, the volume of the box in cubic centimeters = 4950 cubic centimeters.

Answer: 40%

Step-by-step explanation:

Answer:

1.88

Step-by-step explanation:

A farmer sells 9.4 kilograms of pears and apples

4/5 of the total weight is pears while the rest is apple

Let x represent the number of apples

9.4= 4/5 ×9.4 + x

9.4 = 0.8×9.4+x

9.4 = 7.52+ x

9.4-7.52= x

1.88= x

x= 1.88

Answer:0

Step-by-step explanation:3b(-27 + 9b) = 0

(-27 * 3b + 9b * 3b) = 0

(-81b + 27b2) = 0

Answer:

[tex]b=3[/tex], or [tex]0[/tex]

Step-by-step explanation:

[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]

[tex]b=0\quad \mathrm{or}\quad \:9b-27=0[/tex]

[tex]9b-27=0[/tex], [tex]\mathrm{Add\:}27\mathrm{\:to\:both\:sides}.[/tex]

[tex]9b-27+27=0+27[/tex]

[tex]9b=27[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9b}{9}=\frac{27}{9}[/tex]

[tex]b=3[/tex]

Answer:

x = -516

Step-by-step explanation:

(4 - 5x) + 43 = 3 - 32(-82)    {Multiply 32 and (-82)}

4 - 5x + 43 = 3  - (-2624)  

4 - 5x + 43 = 3 + 2624   {add 4 and 43 in LHS}

   -5x  + 47 = 2627      {Subtract 47 from both sides}

     -5x        = 2627 - 47

          -5x   = 2580         {Divide both sides by (-5)}

                x = 2580/(-5)

x = -516

Answer:

b = 15

Step-by-step explanation:

Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].

Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].

So b is 15.

Answer: b = 15

Step-by-step explanation:

Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².

--------------------------------------------------------------------

Given

a = 8

c = 17

Solve

a² + b² = c²

(8)² + b² = (17)²

64 + b² = 289

b² = 225

b = √225

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a = 5.07

Step-by-step explanation:

Here, we want to get the value of the side marked a

What we have is a right triangle

so, to find the value of a, we are to use the correct trigonometric ratio

The angle given faces a, which makes a the opposite

the side measure faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the two is the sine

The sine is the ratio of the opposite to the hypotenuse

mathematically;

sine 25 = a/12

a = 12 * sine 25

a = 5.07

Answer:

-360

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

yes is it correct.................

Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

Answer: 4.5 Seconds

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22

Answer:

178 in.

Step-by-step explanation:

14 5/6 times 12= 178 in.

Answer:

6

Step-by-step explanation:

[tex]10^{2}[/tex]= 100

[tex]8^{2}[/tex]= 64

[tex]6^{2}[/tex]=36

100-64=36

b would be 36

Answer:

Step-by-step explanation:

Answer:

A: cow :milk bc it comes ot the cow like the egg comes out the chicken

Answer:

-39.65

Step-by-step explanation:

3 1/4 ⋅ (-12.2)

First, we must change the first fraction to a decimal.

3 1/4 = 3.25.

Now, we just multiply using standard algorithm.

3.25 ⋅ (-12.2) = -39.65.

Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

Now Multiplying 8 by 51

=51 x 8

= 408 cars  

Answer:The answer is A

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

√

2

⋅

5

x=\frac{-({\color{#e8710a}{-7}}) \pm \sqrt{({\color{#e8710a}{-7}})^{2}-4 \cdot {\color{#c92786}{5}}({\color{#129eaf}{-18}})}}{2 \cdot {\color{#c92786}{5}}}

x=2⋅5−(−7)±(−7)2−4⋅5(−18)​​

2

Simplify

3

Separate the equations

4

Solve

Solution

=

7

±

4

0

9

√

1

0

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

Answer:

5

Step-by-step explanation

20 divided by 4 equals 5

Answer: 1/21

Step-by-step explanation:

total = 2 + 1 +4 = 7

1/7 x 2/(7-1) = 2/42

2/42 simplifies to 1/21

1/7: 1 doughnut out of a total of 7 items

2/(7-1): 2 mint cookies are available in the pool out of 6 items -> since one item has already been chosen without replacement, so now the total is 6.

Answer:

$1.50

Step-by-step explanation:

Divide the 6 dollars by 4 times

$6/4 = $1.50

Hi there!

[tex]\large\boxed{r = 5 cm}[/tex]

The volume of a cone is as follows:

V = 1/3πr²h

We are given the volume and height, thus:

100π = 1/3πr²(12)

Begin by multiplying both sides by 3 (to cancel out the fraction):

300π = πr²(12)

Divide both sides by 12:

25π = πr²

Divide both sides by π:

25 = r²

Square root both sides:

5 = r

Answer:

the answer is 5 cm

hope this helps