A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.

Answer:

4 is the diameter

Step-by-step explanation:

Given:

C = 4π

Formula for circumference:

C = 2πr

Work:

C = 2πr

4π = 2πr

r = (4π)/(2π)

r = 2

Diameter:

d = 2r

d = 2(2)

d = 4

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

Answer:

g(x) is shifted left by two units

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

Answer:

1.2

Step-by-step explanation:

3. 0.3+0.2+0.1

Multiply 3 and 0.3 to get 0.9

0.9+0.2+0.1

Add 0.9 and 0.2 to get 1.1

1.1+0.1

Add 1.1 and 0.1 to get 1.2

1.2

Answer:

c is the right answer

Step-by-step explanation:

Answer:

setup below, you'll have to do the final calculation

Step-by-step explanation:

first perform the operation in parenthesis

2+39= 41

then do the multiplication 3 x 41

in general do calculations in this order

1. Parenthesis

2. Multiplication

3. Division

4. Addition

5. Subtraction

working from left to right

Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Answer:

the answer is 1 5/12

Answer:

I think 12 * 12/ 60 = ?

12*12= 144

144/ 60= ?

Answer:

360°

Step-by-step explanation:

I think

1/2 base ×height

1/2×60×12

30×12

=360

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

Answer:

i need points lol

Step-by-step explanation:

sorryyyyy

Answer:

tysm!!

Step-by-step explanation:

[tex]have[/tex]  [tex]a[/tex]  [tex]great[/tex]  [tex]day[/tex] [tex]:)[/tex]

AAAAAAA THANK YOU :D

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

Answer: 17 pounds

Step-by-step explanation:

Answer:67.6

Step-by-step explanation:

Answer:

x = ± [tex]\sqrt{\frac{y}{a} }[/tex]

Step-by-step explanation:

Given

y = ax² ( divide both sides by a to isolate x² )

[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{y}{a} }[/tex]

Answer:

okkkkkkk ty for he points

Step-by-step explanation:

Answer:

Ty

Step-by-step explanation:

Answer:

The distance from the base of the building to the base of the ladder is 13.56 feet.

Step-by-step explanation:

This can be solved using Pythagorus theorem.

If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using

c²= a²+b²

Where c is the hypotenuse and b is the base and a is the altitude

Putting the values

25²= a²+ 21²

a²= 25²-21²

a²= 625-441

a²= 184

a= √184= 13.56 feet

The distance from the base of the building to the base of the ladder is 13.56 feet

Answer:

y = 42x + 2

Step-by-step explanation:

The equation of a line is expressed as y = mx+b

Slope = y2-y1/x2-x1

Slope = 128 - 2/3-0

Slope m = 126/3

Slope = 42

Since the y intercept is (0, 2), hence b = 2

Get the equation;

Recall that y = mx+b

y = 42x + 2

This gives the required equation

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

Answer: C=5

Hope this helps!

Answer:5 3/20

Step-by-step explanation:

6 8/20 0- 1 5/20= 5 3/20

Answer:

y = -1/2x + 8

Step-by-step explanation:

y = -1/2x + b

6 = -1/2(4) + b

6 = -2 + b

8 = b

Answer:

x-intercept: -4

y-intercept: 24/5

Step-by-step explanation:

Firstly you have to isolate the y:

-6x + 5y = 24

5y = 6x + 24

y = (6x +24)/5

Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:

y = (6•0 + 24)/5

y = 24/5

0 = (6x + 24)/5

5•0 = 6x +24

0 = 6x +24

-6x = 24

x = 24/-6

x = -4

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]

Area of triangle with angle of 50°:

[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]

Area of the rest of the figure:

[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]

Therefore:

                  [tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]

Answer:

Fahad is taller with 31 centimeters

Step-by-step explanation:

1090mm=109cm

Fahad is taller than Fareed by 31 centimeters.

1090 mm = 109 cm

140 cm - 109 cm = 31 cm

Hope this helps; please mark brainliest!

Have an amazing day!

Answer:

the answer for the first is 22°

the answer for the second is 83°

Answer:

Step-by-step explanation:

1.

The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.

2.

For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.

Then, we are able to find x by angle sum of triangles.

68°+29°+x = 180°.