Shyam is 28 years old than his daughter, now product of their age is 204. find out the age of daughter.​

Answers

Answer 1

Let daughter be x years old. Then, Shyam is (x + 28) years old.

So,

x(x + 28) = 204

=> x² + 28x = 204

=> x² + 28x - 204 = 0

=> x² - 6x + 34x - 204 = 0

=> x(x-6) + 34(x-6)

=> (x - 6) (x + 34) = 0

=> x - 6 = 0 or x + 34 = 0

=> x = 6 or x = -34

Since any age cannot be negative, daughter's age is 6 years old.


Related Questions

The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571

Answers

Answer:

B

Step-by-step explanation:

Area of shaded region + Area of unshaded region = Area of circle

Area of the unshaded sector=256*pi-32*pi=224*pi

Answer:

radius Is 16

total area becomes pi r ^ 2 = 16^2 pi = 256pi

remaining area becomes

256 pi - 32 pi = 224 pi option b

brainliest pls

Help me pls! L need help with this

Answers

Answer:

G. -5/2

Step-by-step explanation:

First we want to distribute the 6 into q and 3.

6q + 18 = 2(q + 4)

Next distribute the 2 into q and 4.

6q + 18 = 2q + 8

Now the variable needs to be on one side of the equation. Subtract 2q from  both sides.

4q + 18 = 8

Isolate the variable. Subtract 18 from both sides.

4q = -10

Divide 4 on both sides.

q = -10/4

We can now simplify this even further. Divide -10/4 by 2/2

q = -5/2

69°
X/75°
36°
X =
degrees
Enter

Answers

Answer:

x = 105°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

x is an exterior angle of the triangle , then

x = 69° + 36° = 105°

Is the expression \left(5 \times 2\right)^x(5×2)
x
always equal to the expression 10^x10
x
? Explain your answer.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.

  (5·2)^x ≡ 10^x

summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3

Answers

Answer:

Thanks for the points... dude.....

This the second time but thank you

Match the expression with its name. 6x3 - 9x + 3​

Answers

Answer:

x is 1.7 add it by three and its 18 you can do this by doing 9 times 1.7 which gets you 15 and add it with three and it equals 6 times 3

Step-by-step explanation:

pls help will give brainly

Answers

Answer:

-8

Step-by-step explanation:

Since x = -18, we use the top formula

f(-18) = (x-6)/3

        = (-18-6)/3

        = -24/3

       = -8

What is the x-intercept of the equation y = 2/3x + 12? Please explain each step for better understanding, thank you:)

Answers

Answer:

(-18, 0)

Step-by-step explanation:

The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:

y = 2/3x + 12

0 = 2/3x + 12

-12 = 2/3x

-18 = x

So, the x intercept is (-18, 0)

Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP

Answers

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

Simplify and find the perimeter of the triangle

Answers

Answer:

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

Answer:

Perimeter = - 2x - 19

Step-by-step explanation:

[tex]Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\ = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x) + ( \frac{1}{2} \times 8)] \\ = (2x + 10) + ( - 6x - 33) + (2x + 4) \\ = 2x + 10 - 6x - 33 + 2x + 4 \\ = 2x - 6x + 2x + 10 - 33 + 4 \\ = - 2x - 19[/tex]

So, the perimeter is - 2x - 19.

Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.

What is a regular hexagon?

The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.

The external angle of the regular hexagon will be given as,

External angle = 360° / 6

External angle = 60°

Then the sum of the measures of the exterior angles of a convex hexagon will be

⇒ 60° x 6

⇒ 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°.

Then the correct option is A.

More about the regular hexagon link is given below.

https://brainly.com/question/1694257

#SPJ2

A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm

(a) write an expression, in terms of x, for the volume of the cuboid

(b) the volume of the cuboid is 750cm³.

(i) form an equation in terms of x to represent this information

(ii) solve the equation in (i)

(iii) hence or otherwise calculate the height of the cuboid.​

Answers

Step-by-step explanation:

Hi there!

From above question;

A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm.

Length (l) = 25cm

width (b) = 5cm

height (h) = (x-2)cm.

a).

Volume= l*b*h

V = 25*5*(x-2)

V = 125(x-2)

V = 125x - 250 → Answer

b).

(i)

V = 750cm³

V = 125x - 250

750 = 125x - 250..........(i)

(ii)

The equation (i) is: 750 = 125x - 250

or, 125x = 750+250

or, 125x = 1000

or, X = 1000/125

Therefore, X= 8cm.

(iii)

Height (h) = x-2

= 8-2

= 6

Therefore, height is 6cm.

Hope it helps!

Which of the following ranges is most appropriate to represent the numerical data on the vertical axis of a Bar Chart? OA) 0 to 60 OB) 10 to 20 OC) 0 to 55 OD) 30 to 60​

Answers

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Answer:

C

Step-by-step explanation:

I took the quiz

Can someone please assist me...thank you​

Answers

Answer:

x=10, y=24

[tex]\left(34-y\right)^2+y^2=676[/tex]

Step-by-step explanation:

Answer:

x = 10 and y = 24

Step-by-step explanation:

Perimeter of triangle = sum of the 3 sides of the triangle

:. x + y + 26 = 60

x + y = 60 - 26

x + y = 34 ---- (1)

From Pythagoras theorem,

x² + y² = 26²

x² + y² = 676 ---- (2)

From equation (1): y = 34 - x

:. x² + (34 - x)² = 676

x² + 1,156 - 68x + x² = 676

x² + x² - 68x + 1,156 - 676 = 0

2x² - 68x + 480 = 0

x² - 34x + 240 = 0

(x² - 24x) - (10x + 240) = 0

x(x - 24) -10(x - 24) = 0

(x - 24)(x - 10) = 0

x = 24 or 10

y = 34 - x

y = 34 - 10 = 24

:. x = 10 and y = 24

Place the two large triangles around the square to form a triangle, a parallelogram ,and a trapezoid .Please answer it step by step

Answers

Answer:

Step-by-step explanation:

Geometry, please answer question ASAP

Answers

Answer:

I'm going to say A and B (I think)

1 point 56. While riding a bicycle, a person travelled 5 blocks in 2 minutes. At this rate, how many blocks will the person travels in 16 minutes? Q​

Answers

the person will travel 40 blocks in 16 minutes

PLEASE HELP!!! Super important!!!

Answers

Answer:

5n

Step-by-step explanation:

output=5x

where x is = input

there fore if input is n, output is 5n

the answer to this question is d)5n

Simplfy |8|+|-3|-|-7|​

Answers

Step-by-step explanation:

|8| + |-3| - |-7|

= 8 - 3 + 7 = 12

|8| + |-3| - |-7|
8 + |-3| - |-7|
8 + 3 - |-7|
11 - |-7|
11-7
4

for the function g(x)=3-8(1/4)^2-x

a) State the y-intercept

b) State the equation of the horizontal asymptote

c) State whether the function is increasing or decreasing.

d) State the domain and range
e) Sketch the graph

Could anyone help?

Answers

Using function concepts, it is found that:

a) The y-intercept is y = 2.5.b) The horizontal asymptote is x = 3.c) The function is decreasing.d) The domain is [tex](-\infty,\infty)[/tex] and the range is [tex](-\infty,3)[/tex].e) The graph is given at the end of the answer.

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

The given function is:

[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]

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

Question a:

The y-intercept is g(0), thus:

[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]

The y-intercept is y = 2.5.

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

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]

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

[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]

Thus, the horizontal asymptote is x = 3.

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

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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

Question d:

Exponential function has no restrictions in the domain, so it is all real values, that is [tex](-\infty,\infty)[/tex].From the limits in item c, the range is: [tex](-\infty,3)[/tex]

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

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at https://brainly.com/question/16533631

In the right triangle ABC, angle A is 36 degrees.

Answers

Answer:

Step-by-step explanation:

The best way to start this question is to find the value of the big 3. The big three (on your calculator) are the sin cos and the tangent. Once you have them, the other three are just the reciprocals.

Sin36 = 0.588

Cos36= 0.809

Tan36 = 0.727

============

Now for the other three, which are not on your calculator (directly)

Csc(36) = 1/sin(36) = 1/0.588 = 1.70

Sec(36) = 1/cos(36) = 1/ 0.809 =  1.236

cot(36) = 1/tan(36) = 1/0.727 = 1.376

I don't know if you remember who marries who here. I always remember that cofunction goes with the non cofunction. So the sin and csc are going out together. The cot and tan are dating etc.

The area of the surface of a pool table is 24 square feet. The perimeter is 22 feet. What are the dimensions of the pool table?

Answers

Answer: The dimensions are 8 and 3

Step-by-step explanation:

So 8*3=24 which corresponds with the formula for area l*w= Area

And perimeter means we add up all 4 sides so

8+8+3+3= 22

So the dimensions are 8 and 3

Someone please helppp

Answers

Answer:

Step-by-step explanation:

L = 2 + sqrt(2)

W = 4 - 2sqr(2)

Area = L * W

Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )

Use Foil

F: 2*4 = 8O: 2*(-2sqrt(2) = - 4sqrt(2)I: 4*sqrt(2)L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4

Result

Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)

Area = 4


AABC is reflected across the x-axis and then translated 4 units up to create AA'BC. What are the coordinates of the vertices of AABC?
OA A'(-3, 3), B(-1, 1). C(-2.3)
ОВ.
A'(3.-3), B(1,-1), C(2.-3)
OC. A'(3.-5), B(1, -7), C(3.-5)
OD. A'(-3, 3), B(-1, 1), C(-2,-

Answers

Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A(- 3, 1 ) → (- 3, - 1 )

B(- 1, 3 ) → (- 1, - 3 )

C(- 2, 1 ) → (- 2, - 1 )

A translation of 4 units up means adding 4 to the y- coordinate

( - 3, - 1 ) → A' (- 3, - 1 + 4 ) → A' (- 3, 3 )

(- 1, - 3 ) →B' (- 1, - 3 + 4 ) → B' (- 1, 1 )

(- 2, - 1 ) → C' (- 2, - 1 + 4 ) → C' (- 2, 3 )

What is the surface area of the rectangular prism below?

A. 736 units2

B. 812 units2

C. 706 units2

D. 824 units2

Answers

Answer:it’s A

Step-by-step explanation:

took the test

I need help with the incorrect ones please

Answers

Answer:

73.6

61.824

.2776

2.3

1.342

.4129

*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*

Step-by-step explanation:

1.)

the mean would be something like 460*.16= 73.6

The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863

for p to be less than .15 it would have to be less than .15*460= 69

(69-73.6)/7.863= -.59 which has a probability of .2776

2.)

the mean is 2.3

I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)

I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342

(2-2.3)/1.342= -.22 = .4129

which number best completes the pattern ?
17,12,7
3,7,11
21,16(?)

a. 12 b. 11 c. 8 d. 3​

Answers

Answer:

11

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

Answer:

b

Step-by-step explanation:

The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.

The question is in the picture

Answers

Answer:

[tex]10^{19}[/tex]

[tex]10^{-6} * 10^{25} = 10^{19}[/tex]

Step-by-step explanation:

10^46/ 10^-4 = [tex]10^{50}[/tex]

[tex]\sqrt{10^{50} } = 10^{25}[/tex]

find all the solutions of the equation in the interval [0, 2pi)
sin2x-1=0

show work pls

Answers

Answer:

[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]

Step-by-step explanation:

We want to find all solutions to the equation:

[tex]\displaystyle \sin 2x - 1 = 0[/tex]

In the interval [0, 2π).

First, add one to both sides:

[tex]\displaystyle \sin 2x = 1[/tex]

Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.

And in this case, u = 2x. Thus:

[tex]\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}[/tex]

Dividing both sides by two yields:

[tex]\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}[/tex]

There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:

[tex]\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}[/tex]

Any other solutions will be outside our interval.

Therefore, our solutions are:

[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]

help me please and thank youu

Answers

Answer:

-3

Step-by-step explanation:

y - y1 = m(x - x1) m = slope

y - 5 = -3(x - 17) slope = -3

Answer:

-3

Step-by-step explanation:

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