Diana's father is 28 years older then Diana. The sum of their ages is 64. How old is Diana ?

Answer:2nd

Step-by-step explanation:

Answer: 0.6267

Step-by-step explanation:

Answer: 130 or a

Step-by-step explanation: 360-230=130

Answer:

130°

Step-by-step explanation:

First step you need draw a line from X to O and line Z to O. Both of them are radius.

as we know, radius and tangent line are always perpendicular. so the degree is 90° each.

shape of XYZO is kite with total of 360°

so the arc XZ have

360 - 50 - 90 - 90 = 130°

Answer:

The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.

Step-by-step explanation:

Answer:

b = 111

Step-by-step explanation:

66 + 113 = 179

So in order to have a total of $290, you need about $111 more dollars.

270 - 179 = 111

So the final answer is 111.

Answer:

$111

Step-by-step explanation:

Cost of the bicycle=$290

total saved= $66 + $113

=$179

b = $290 - $179

=$111

Answer:

A

Step-by-step explanation:

I don't think you have to explain

3lb/$1.09

3       3

1lb/$0.363

1lb x 5/ $0.363 x 5

Answer - 5lb/$1.815

Answer:

y = 3/10

Step-by-step explanation:

(1/3) / (2/5) = (1/4) / y

y = (1/4) (2/5) / (1/3) = (2/20) / (1/3) = 3/10

check: (1/3) / (1/4) = 4/3

           (2/5) / (3/10) = 20/15 = 4/3

Answer:

A: P, R, Q

Step-by-step explanation:

Because since PQ = 11, then you have to put an arrow across from that side with is angle R and that's Middle. QR = 7, which you have to put an across from that side with is angle P, and that's smallest. PR = 15, which you have to put an arrow across from that side which is angle Q, and that's the largest. Now put everything in order from the angles smallest to largest like this,

P, R, Q.

Hope this helps :)

The angles in measures order from smallest to largest is <P, <Q and <R.

If two triangle angles are not equal, the lengths of the sides that face them are also not equal, with the longer side facing the larger angle.

Given:

PQ = 11 feet. QR = 7 feet, and PR = 15 feet.

The Largest side is PR = 15 feet.

So, the angle opposite to largest side is also largest, i.e., <R is largest.

and, smallest side is QR = 7 feet,

So, the angle opposite to smallest side is also smallest, i.e., <P is smallest.

Hence, angles in measures order from smallest to largest is <P, <Q and <R.

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Answer:

in drawing

Step-by-step explanation:

Step-by-step explanation:

I Had send you the particular brief explanation for the question

Answer:

x= -15

y= -3

x/y

=-15/-3

=5

option A is correct

Answer:

a. this b>9 B. the first one C. the second one

Step-by-step explanation:

D is the first one

Answer:

it it negative

Step-by-step explanation:

[tex]3x + 4x + 3x + 5x + 3x + 4x[/tex]

[tex]22x[/tex]

Answer:

-13 ≤ x ≤ 5

Step-by-step explanation:

AB = 17

CD = 25

x = 17

hope this helps!!

Answer:

17

Step-by-step explanation:

The correct answer would be 17!

Answer:

(1, 4)

Step-by-step explanation:

Answer:

it will be 5.04

Step-by-step explanation:

so we know 56=100%

so we want to get what 1% is so we divide both sides by 100 to get 0.56=1%

so know we multiply both sides of 9 to get 5.04=9%

Answer:10

Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug

The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through the points (12, 6) and (0, -4)

Slope = -4-6/0-12

=-10/-12

=5/6

Now let us find y intercept passing through (12, -2)

-2=5/6(12)+b

-2=10+b

-12=b

Hence,  the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

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Answer:

it can't go to simplest form it has no common numbers  

Step-by-step explanation:

Answer:

35/54 is already in the simplest form. It can be written as 0.648148 in decimal form (rounded to 6 decimal places).

Answer:

Step-by-step explanation:

V≈1615.97m³

Answer:

1615.968 m^3

Step-by-step explanation:

V = h/3 * π * r^2

V = 5.6/3 * π * 16.6^2

V = 1615.968 m^3

Answer:

4.00 - 1.25/1.25= 2.2 x 100 = 220

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

[tex]c=-2[/tex]

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

[tex]f(-2)=0[/tex]

Therefore, the correct option is d.

Answer:

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                     [tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                   [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

The equation of the straight line

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Verification:-

The equation of the straight line passing through the point (3,1)

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Put x =3 and y=1

                  [tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

Solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Step-by-step explanation:

We need to solve the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex]

According to DMAS rules first we solve brackets and then we will multiply the results found after solving brackets

So,

[tex](6.2 - 3.51) \times (11.7 \times 0.3)\\=2.69 \times 3.51\\=9.4419[/tex]

First we solved the terms (6.2-3.51) and get 2.69 and by solving (11.7 x 0.3) we get 3.51

Now, we will multiply 2.69 with 3.51 to get the final result.

The final result is 9.4419

So, solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Answer:

For 3/2 of the speed = 292.5 minutes

For 3/4 of the speed =  146.25 minutes

Step-by-step explanation:

It takes 3hrs 15 minutes to fly from A to B

From A to B = 180minutes + 15 minutes

= 195 minutes (At constant speed)

At constant speed,

If the speed is 3/2 of the original speed,

It will be,

3/2 X  (195 minutes) = 585 / 2 = 292.5 minutes

On the other-hand,

If the speed is 3/4 of the original speed,

3/4 X (195 minutes) = 585 / 4 = 146.25 minutes