Five years from now, a father's age will be tree times his son's age, and 5 years ago, he was seven times as old as his son was. What are their present age?

Answer:

x=25

m∠3=60

m∠60=60

Step-by-step explanation:

angle3= angle6

2x+10=3x-15

x=25

m∠3=2(25)+10=60=m∠6

Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

Answer:

Is - 4

Step-by-step explanation:

29/29  cancel it out

so it will leave -4 out

Answer:

A

Step-by-step explanation:

volume of a cylinder:

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

We are given the volume (V) and the height (h) and we need to find the radius (r).

To find the radius we are going to want to plug in the given values into the formula for volume of a cylinder and solve for r

so, * plug in given values *

[tex]400= \pi r^28[/tex]

Now we solve for r

step 1 take the square root of each side

[tex]\sqrt{400} =20\\\sqrt{\pi r^28} =\sqrt{\pi } 4*r\\[/tex]

now we have [tex]20=\sqrt{\pi } 4*r[/tex]

step 2 divide each side by sqrt (π) 4

[tex]\frac{20}{\sqrt{\pi } 4} =3.989 \\\\\frac{\sqrt{\pi } 4*r}{\sqrt{\pi } 4}=r\\[/tex]

we're left with r = 3.989

Finally we round to the nearest whole number and get that the answer is A.4

Answer:

(1,9)

Step-by-step explanation:

Answer:

(1,9)

Step-by-step explanation:

Answer:

day 13

Step-by-step explanation:

the y axis represents the money. ans the x represents the days

so go down to 0 on the y acis and see what number the line matches with 0 on

in this case it matches with 13

Answer:

y = -5x + 65 or f(x) = -5x + 65

Step-by-step explanation:

The graph represents a linear function which means the function can be represented using y = xm + a, where y is the target, x is the domain, m is the slope, and a is the y-intercept.

According to the graph, the y-intercept is $65 which means a = 65

y = xm + 65

Since the x intercept is 13 that means when x = 13, then y = 0, plug those values in and solve for m to get the slope.

0 = 13m + 65

-65 = 13m

-65/13 = m

Which can be simplified to

-5 = m

Therefore the function for the graph is y = -5x + 65

The segment BD is secant in the circle. Then the correct answer is option D.

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. A chord is in a unique secant line and every secant line defines a unique chord.

Here we can see in the circle segment BD is passing at two points from the circle. Then BD is the secant of the circle.

Hence, the correct answer is option D.

The complete options are given below:-

A. BO

B. BC

C. AO

D. BD

To know more about secant follow

https://brainly.com/question/23026602

#SPJ5

Answer:

Option A (BD)

Step-by-step explanation:

i liddly just finished it ang got it right

Answer:

x = -2

Step-by-step explanation:

6x - 1 = 4x - 5

Bring like terms together

6x - 4x = 1 - 5

2x = -4

-4 / 2 = -2

Answer:

area is 60 cm sq units

Step-by-step explanation:

16+12+12+20=

16+24+20

40+20=60

Answer:

the stated ratio means that of the 180 degrees involving two supplementary angles, the smaller angle is one sixth of that whole. Thus the smaller angle measures 30 degrees & the larger measures 150 degrees.

Step-by-step explanation:

Answer:

73.8 dollars.

Step-by-step explanation:

Answer:

$73.80

Step-by-step explanation:

$82.00 - 8.2% = $73.8

Move the decimal 2 spaces to the right --->

$73.80!! :D

Hope this helps!! Have a great day!! :DDD

Answer:

Step-by-step explanation:

Answer:

The decrease is exponential.

Step-by-step explanation:

An exponential decrease is something like:

f(x) = A*(r)^x      with 0 < r < 1

A linear decrease is something like:

g(x) = -a*x + b               with a > 0

First ai general formula.

If you have a quantity Q, decreased by an X%, the new quantity will be:

New Quantity = Q - Q*(X%/100%)

Now let's look at the question:

Suppose that the original price of the computer component is K

And the price as a function of the year is P(y)

Then we know that, in the year zero, the price is K.

P(0) = K

One year after, the price decreases by 2.25%

Then:

P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)

After another year, we will have another decrease of 2.25%

Then:

P(2) =  K*(1 - 0.0225) -  K*(1 - 0.0225)*(2.25%/100%)

P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2

We already can see the pattern, we can expect that in the year y, the price of the component will be:

P(y) = K*(1 - 0.0225)^y

This clearly is an exponential decrease.

Answer:

615.44

Step-by-step explanation:

The area of the circle is 196π m².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π14² = 196π m²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

Scalene

Step-by-step explanation:

It is not right, equilateral, or isosceles.

Answer:

50%

hope this answer helps you!

Answer:

n^2 + 12 = 61

-12             -12

  n^2 = 49

Step-by-step explanation:

7 is your answer

7 x 7 = 49 + 12 = 61

Hello, I Am BrotherEye

Answer: Here is an Example On How To Solve Your Problem.

Step-by-step explanation:

Explanation:

29

,

33

,

36

,

37

,

39

,

40

,

41

The minimum is the lowest number in the data set.

Since it is listed from smallest to largest, we know that the minimum is

29

.

The median is the middle number. Cancel out

3

numbers from each side and we are left with the median:

29

,

33

,

36

,

37

,

39

,

40

,

41

Therefore, the median is

37

.

The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.

Let's look at the lower half of numbers:

29

,

33

,

36

The number in the middle is

33

, so that is the first quartile.

The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.

Let's look at the upper half of numbers:

39

,

40

,

41

The number in the middle is

40

, so that is the third quartile.

The maximum is the highest number in the data set; it is

41

.

So here's the five-number summary:

Minimum: 29

First quartile: 33

Median: 37

Third quartile: 40

Maximum: 41

Answer:

how much wood do you need

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36+64 = square root of 100

square root of 100 is 10

Answer:

Simon is incorrect

Step-by-step explanation:

3^0 is not 0, it is 1.

A way of thinking about this is if to get from 3^2 to 3^1, you need to divide by 3, then to get from 3^1 to 3^0 you need to divide by 3 again. 3 divided by 3 is 1.

This means 3^0*3^2=1*9=9

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or  y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation    

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

or

2x+y=5

2(1/2)+4=5

1+4=5

5=5

Answer:

The cyclist can travel 0.9 miles in 2 minutes.

Step-by-step explanation:

1 hour = 60 minutes

Set up a conversion equation:

27 mi/1 hr × 1hr/60 mins

It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes

After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:

27 mi/60 mins

The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?

Set up an equation:

Variable x = number of miles

27 mi/60 mins = x/2 mins

Cross multiply

27 × 2 = 60 × x

54 = 60x

Divide both sides by 60

0.9 = x

Answer:

[tex]x = \frac{(a+1)f^3}{2e}[/tex]

Step-by-step explanation:

[tex]\frac{a + 1}{2x} = \frac{e}{f^3}\\~\\\\a+1 = \frac{2ex}{f^3}\\~\\\frac{a + 1}{2e} = \frac{x}{f^3}\\~\\x = \frac{(a+1)f^3}{2e}[/tex]

Answer:

$87

Step-by-step explanation:

58×50٪=29

58+29=87

Answer:

C. b = -1, c = -2

Step-by-step explanation:

2 roots: x = -1 and x = 2

(x+1)(x-2) = 0

y = x² - x -2

b= -1 , c = -2

Answer:

The andswer is C    b= -1 c=-2

Step-by-step explanation:

I took the quiz!!

Answer:

I think it’s best to ask your teacher

Step-by-step explanation:

Sorry I needed the points