Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.

9514 1404 393

Answer:

  169 ft

Step-by-step explanation:

The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...

  c² = a² +b² -2ab·cos(C)

Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...

  c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84

The outfielder throws the ball about 169 feet.

Answer:

It would help to have the cone area formula:

Area = PI * radius * slant height

Let's say the height is 12cm radius is 5 cm

which makes the (slant height)^2 = 12^2 + 5^2 = 169

slant height = 13

and surface area = PI * 5 * 12 =  188.4955592154

If radius = 10 then (slant height)^2 = 12^2 + 10^2 = 244

slant height = 15.6204993518

surface area = PI * 10 * 15.62 = 376.99

376.99 / 188.4955 = 2

So, if radius is doubled, surface area is doubled.

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

Answer:  C.  V = (area of the base)(height)

This applies to any prism. A cylinder is effectively a prism but the base is a circle rather than a polygon.

The cylindrical volume formula you may be more familiar with is

V = pi*r^2*h

note how the pi*r^2 portion is the area of the circular base. So we can replace the pi*r^2 with "area of the base" to end up with choice C.

Answer:

-1/3

Step-by-step explanation:

slope = m = rise/run = (difference in y)/(difference in x)

m = (4 - 2/(-3 - 3)

m = 2/(-6)

m = -1/3

Cot A=1/tan A=12/5

cos A= 12/13

sin A=5/13

Draw a right angled triangle

the hypotenuse is the longest side which is 13 using Pythagoras theorem

the side opposite the angle A is 5

the side closest to the angle A which is called the adjacent is 12

sinA =opp/hyp

cos A= adj/hyp

cotA =1/tanA=cos A/sinA

Note: Pythagoras theorem is

hyp²=opp²+adj²

Answer:

Step-by-step explanation:

[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]

hypotenuse² = (opposite side)² + (adjacent side)²

                      =  5² + 12²

                      = 25 + 144

                      = 169

hypotenuse = √169 = √13*13 = 13

[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]

Answer:

x=40

Step-by-step explanation:

If the large angle is bisected, the two smaller angles are equal

x+30 = 3x-50

Subtract x from each side

x+30 -x = 3x-50-x

30 = 2x-50

Add 50 to each side

30+50 = 2x-50+50

80 =2x

Divide by 2

80/2 = 2x/2

40 =x

Answer:

x = 40

Step-by-step explanation:

since line KN bisects that angle, the two parts are equal to each other:

(x+30) = (3x-50)

x + 30 = 3x - 50

-2x = -80

x = 40

you can even check it to see if both angles are equal to each other by substituting 40 for x:

(40 + 30) = (3*40 - 50)

70 = 70

this checks out, so the answer is correct

Answer:

4~rational

Step-by-step explanation:

it is a perfect square therefore it is rational because it is a terminating and repeating decimal and it can be made into a fraction

Answer:

Please see the image below, I have typed all the steps required for the final solution. If you don't understand any part of the following steps, feel free to comment below and I will help out :)

-Answer:

4 lbs of 37% mixed   nuts

Step-by-step explanation:

[tex]\frac{\left(17+.37x\right)}{17+x}\:=\:.88[/tex]

x = 4

Answer:

$19.15

Step-by-step explanation:

$1=0.626

$1/0.626=£1

$11.99=$11.99/0.626

=$19.15

Answer:

Step-by-step explanation:

 £ 0.626  =$ 1

£1 = $ [tex]\frac{1}{0.625}[/tex]

£ 11.99 = [tex]11.99*\frac{1}{0.625}= \frac{11.99*1000}{0.625*1000}\\\\[/tex]

           [tex]= \frac{11990}{626}\\\\[/tex]

          = $ 19.15

19.15 - 16.95 = $2.2

Jane pays $2.20  more dollars that George

Answer:

We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

Answer:

5

Step-by-step explanation:

m + p - p^2 ÷ 6

Let m = 5 and p=6

5 + 6 - 6^2 ÷ 6

Exponents first

5 + 6 - 36 ÷ 6

Then divide

5 + 6 - 6

Then add and subtract from left to right

11-6

5

Answer:

HF = 11.0

Step-by-step explanation:

We can use a ratio to solve

ED        EC

----- = ----------

HG       HF

23       36

----- = ----------

7         HF

Using cross products

23 HF = 36*7

23 HF = 252

Divide by 23

HF = 252/23

HF =10.95652

To the nearest tenth

HF = 11.0

Answer:

A. positive skewed.

Step-by-step explanation:

because the values on left hand side are a bit greater than values on the right hand side.

[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]

Answer:

- [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{7}{10}[/tex] ÷ [tex]\frac{2}{5}[/tex]

Leave the first fraction

Change division to multiplication

Turn the second fraction upside down

= - [tex]\frac{7}{10}[/tex] × [tex]\frac{5}{2}[/tex] ← cancel 5 and 10 by 5

= - [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{2}[/tex]

= - [tex]\frac{7(1)}{2(2)}[/tex]

= - [tex]\frac{7}{4}[/tex]

Answer:

439,200 words

Step-by-step explanation:

800 words per 8.5 inches by 11 inches piece of paper

800 times 549 = 439,200 words

Step-by-step explanation:

tan y = opposite/adjacent

so, tan 52° = 20/x

Answer:

tan(52) = 20/x

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(52) = 20/x

Answer:

4

Step-by-step explanation:

-2/5 x* 5y * -2x

Multiply the coefficients

-2/5 * 5*-2

-2*-2 *1/5*5

4

Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

Learn more,

https://brainly.com/question/10824107

9514 1404 393

Answer:

  (B)  Negative

Step-by-step explanation:

You can try an example:

  c = 1, d = -1

  c/d = 1/-1 = -1 . . . . negative

_____

Additional comment

The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be positive if there are an even number of minus signs involved.

Answer:

[tex]6x^{2} -14x+3xy-7y[/tex]

Step-by-step explanation:

I used the FOIL method, hope this helps

Answer:

D

Step-by-step explanation:

We can write -

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that -

{ 1 } -

We can write the slope of the line as -

m = 3

The equation will be -

y = 3x + c

For the point (2, 8), we can write -

8 = 6 + c

c = 2

So, the equation of line that passes through the point (2,8) and is parallel to y=3x+10 is -

y = 3x + 2

{ 2 } -

We can write the slope of the line as -

m = -1/2

The equation will be -

y = -x/2 + c

For the point (- 2, - 5), we can write -

-5 = -2 + c

c = - 3

So, the equation of line that passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 is -

y = -x/2 + -3

Therefore, we can write -

To solve more questions on straight line, visit the link-

https://brainly.com/question/29223887

#SPJ7

Answer:

0.7

Step-by-step explanation:

7/11 = 0.63636363

7/9 = 0.777777778

so a decimal between them will be, 7/10 = 0.7

Answer:

D. y = cos(4x)

Step-by-step explanation:

The graph passes through the points y = 0 and x = 3π/8

So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.

Answer:

[tex]\sqrt{48}[/tex]

all the other are RATIONAL ( can be expressed as a fraction)

Step-by-step explanation:

While other numbers in the option given are rational, only √48 is an irrational number

Rational number refers to all real numbers which can be expressed in the form x/y. Given that y ≠ 0.

Evaluating the values given :

Therefore, the only √48 does not belong to the group.

Learn more : https://brainly.com/question/15815501?referrer=searchResults

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

3x+10y=22

-3x-8y=-14

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

[tex] \frac{2y}{2} = \frac{8}{2} [/tex]

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

Answer:

2552cm^2

Step-by-step explanation:

C.S.A=1320cm^2 ;r=?

h=15cm.

[C.S.A. = 2πrh]

(r=1320×7/660=14cm)

Now,

TSA of cylinder = 2πr (h + r) sq

TSA=2×22/7(15+14)=2552cm^2

Answer 8

8+8²=72

8+64=72

72=72

please click thanks and mark brainliest if you like :)