A man is four times as old as his son. In five years he will be only three times as old as his
son. What is the man's present age?

Answer:

Approximate length of line AB is 8.6

Step-by-step explanation:

Input Data :

Point 1 (xA, yA) = (8, 2)

Point 2 (xB, yB) = (3, 9)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √(xB − xA) ^2 + (yB − yA)^2

Solution :

Distance between two points = √(3 − 8) ^2 + (9 − 2) ^2

= √(−5) ^2 + 7^2

= √25 + 49

= √74

= 8.6023

Distance between points (8, 2) and (3, 9) is 8.6023

hope this helps and is right :)

Answer:

First choice

12.0

Step-by-step explanation:

Make a right triangle, drawing straight lines, down from point A and left from point B. Use the pythagorean theorum to solve.

I will use "x," "y," and "z" as sides of the triangle as to not confuse between points a and b.

Line AB is line z

x^2 + y^2 = z^2

8^2 + 9^2 = z^2

64 + 81 = z^2

145 = z^2

(find square roots of both)

12.0416 = z

Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

Answer:

The diameter would be 6

Step-by-step explanation:

the radius is half of a diameter, so you would have to double the radius to get the diameter

d=2r

=2(3)

=6

The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)

sorry if this doesnt make sense

take care, stay safe, be careful, and live

stay safe

-Ken Ken (kenma #3)

Answer:

216 milliliters

Step-by-step explanation:

Since, there are 3 milliliters of compound A used for every 4 milliliters of compound B.

Therefore,

A : B = 3 : 4

Let the common multiplier of the given ratios be x.

So, A = 3x & B = 4x

Since, chemist wants to make 378 milliliters of the drug.

Therefore, total volume of drug = 378 milliliters.

3x + 4x = 378

7x = 378

x = 378/7

x = 54

4x = 4*54 = 216

Thus, 216 milliliters of compound B are needed.

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Your welcome.

Answer:

26899 in³

Step-by-step explanation:

The volume of a sphere of radius r is V = (4/3)πr³.

If the radius is 12 in, then the volume is V = (4π/3)(12 in)³, or approximately 26899 in³

Answer: 5

Step-by-step explanation:

Because the shape is a kite we can tell that WX and WZ are congruent.

So 4x-8 = 2x+2

Add 8 to both sides

4x = 2x+10

Subtract 2x

2x = 10

Divide by 2

x = 5

Answer:A

Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so

Answer:

The answer to this is a because it has a sequence of three

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

the Anser un the Fire one is B and the answer on the 2nd one is A

Answer:

If you had a 50 question test and a grade of 82% then you would have gotten 9 questions wrong and 41 correct anwsers.

Answer:

The result of this test is 0.2156

Step-by-step explanation:

Given the data in the question;

The proportion of Americans having medical bill financial issues is ;

p = 20.9% = 0.209

CLAIM;

The problem is more severe among the cities

so

H₀ : p = 0.209

H₁ : p > 0.209       { this is our claim }

population n = 400

number of people that reported difficulty x = 90

so

sample proportion p" = x / n = 90 / 40 = 0.225

Test Statistics;

z = [ (p"-p) / √( (p(1-p))/n ) ]

we substitute

z = [ (0.225 - 0.209) / √( (0.209(1-0.209)) / 400 ) ]

z = [ 0.016 / √0.0004132976 ]

z = [ 0.016 / 0.0203297 ]

z = 0.787

P-VALUE

p-value = P( Z ≥ z )

p-value = P( Z ≥ 0.787 )

p-value = P( Z ≤ -0.787 )

from normal distribution table;

p-value = P( Z ≤ -0.787 ) = 0.2156

p-value = 0.2156

Therefore, The result of this test is 0.2156

Answer:

sdf

Step-by-step explanation:

sdfgh

Answer: B

Step-by-step explanation: Hope this help :D

Answer:

A

Step-by-step explanation:

look where the plot is Set 1 is at 8 and Set 2 is at 10. obviously 10 is greater than 8

Answer:

yes

Step-by-step explanation:

Answer:

None of he choices are correct. Now before you say I'm wrong, look at any one of the unknown angles. You can plainly see that they each are greater than 90 °.

x = 120°

Step-by-step explanation:

5 sides

(180 x 5) - 360 = 540° total of interior angles

540 - 90 - 90 = 360° total for the 3 unknown angles

x = 360/3 = 120°

Answer: [(3/4)π] in² or (0.75π) in²

Step-by-step explanation:

Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)

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

Given

r=3 in

θ=30°

Solve

A=πr²(θ/360)

A=π(3)²(30/360)

A=9π(1/12)

A=[(3/4)π] in²

A=(0.75π) in²

Hope this helps!! :)

Please let me know if you have any questions

Answer:

18.2

Step-by-step explanation:

divide 91 by 5

x x x x x. x x x x x x x x x x xx. x

∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

Answer:

N = 30

Step-by-step explanation:

30 divided by 10 is three. Three plus three equals 6.

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin (180-60)is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

Answer:

B.17.5cm²

Step-by-step explanation:

S=a+b+c/2=

5+8+7/2=10

S=10

Area of the triangle=[tex]\sqrt{3(5-a)(5-b)(5-c)}[/tex]

⇒[tex]\sqrt{10(10-5)(10-8)(10-7)}[/tex]

⇒[tex]\sqrt{10*5*2*3}[/tex]

⇒[tex]\sqrt{300}[/tex]

⇒17.5cm²

hope it helps...

have a great day!!

Answer: You can add 2 shells each week so you can count by 2's or multiply 2 to each week.

Step-by-step explanation:

2x1=2

2x2=4

2x3=6

2x4=8

2x5=10

2x6=12

2x7=14

2x8=16

2x9=18

2x10=20

etc..

Answer:

Julie

Step-by-step explanation:

A 110 minute movie is 1 hour and 50 minutes so julie's two hour long book is longer

Answer:

2 hours= 120 minutes

120>110 Therefore Julie had longer activity

Step-by-step explanation:

Answer:

its C :)

Step-by-step explanation:

so 5 quarters is 1 dollar and 25 cents then add 2 dimes its 1 dollar and 45 cents then u add 15 because of 3 nickles and so it makes it 1 dollar 60 cents