A grandfather is ten times older than his granddaughter. He is also 54 years older than
her. How old is each of them?

Answer:

a) 20.9ft b)148.5ft c)98.2ft d)50.3

Step-by-step explanation:

for a, b and c you can use SOHCAHTOA

a) sin(8)=height/150 so height=150sin(8)

b)cos(8)=distance/150 rearrange the same way

c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle

d) subtract the value found in c from the value found in a

To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE

Reasons:

The margin of error, MOE, is required when finding a sample mean of a

statistic, which specifies the range within which the true mean is located;

The margin of error is given by the formula;

[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]

Where:

σ = The standard deviation of the population

n = The sample size

[tex]z^*[/tex] = The z-value based on the applied confidence level.

Using the associated standard normal distribution table, by finding the

area between the z-score and the negative z-score, we have that 95% will

be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%

Therefore;

The z-score at 95% = 1.96

Learn more about z-score here:

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System of Linear Equations entered :

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

// Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Infinitely many solutions

Answer:

Step-by-step explanation:

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

[tex]combine \: any \: like \: terms \: on \\ each \: side \: of \: the \: equation \: x - \\ terms \: with \: x - terms \: and \\ constant \: with \: constant.[/tex]

Hello there! :)

3-3 =0

33.3-27=6.3

So these two expressions are equivalent.

Expressions are equivalent (equal) when they equal the same number.

Example: 5*4 and 15+5 are equivalent.

Hope this helps!

Please mark brainliest!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex] here to help

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.

Answer:

Obtuse scalene triangle

Step-by-step explanation:

1. Angles:

- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.

2. Sides:

- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.

Therefore, the answer is an obtuse scalene triangle.

Answer:

54°

Step-by-step explanation:

Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so [tex]72+x+x=180 \rightarrow 2x=108 \rightarrow x = 54[/tex]

1. None, it makes a cylinder

2. C

3. B

4. A

Answer:

6  visits will she have to make in a year for Option A to be a better deal

Step-by-step explanation:

Answer:

People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.

Answer:

People with depression may have uncommonly sticky platelets and tiny cells that cause blood to clot.

Patients with heart disease can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack.

For people with heart disease, depression can increase the risk of an adverse cardiac event such as a heart attack or blood clots.

We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

If you want to learn more, you can read:

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Answer: 12$

Step-by-step explanation:

We need to round 79.45 to the nearest 10 dollars, which is 80.

We can then get 15% of it easily since its a whole number by adding 10% (8) and 5% (4) to get an estimate of around 12 dollars.

Answer:490

Step-by-step explanation:

Answer:

y= 8

Step-by-step explanation:

y= -x +5

To find the value of y when x= -3, substitute -3 into x and solve the equation.

When x= -3,

y= -(-3) +5

y= 3 +5

y= 8

Answer:

8(×2)+8(×+4)-(4×+9)

Answer:

let me think about this

Step-by-step explanation:

question i may help

This is a combination equation:

14C8 = 14!/8!(6!) = 3003

Answer: 3003

Answer:

12 photos fit on page = 1

432 photos fit on page = 432/12

= 36 pages

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

36 pages

Step-by-step explanation:

There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:

[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]

You can see that the units for photos cancel out, resulting in units for pages.

So, Robert will need 36 pages in order to fit all 432 photos into his photo album.

Answer:

Faster the deadline is so close let me sing

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

Answer:

= -36.4

Step-by-step explanation:

- 25 x - 9 < 910

Add 9 to both sides

- 25 x < 919

Divide -25 to both sides

- 25 / - 25 < 919 / - 25

= -36.4

Answer:

x=500

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

B .  -A .   -b .   -b .   +a .   +b .   +c

b + b -b -b +a -a +c

c

Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

d ≥ -7     ?  (ignore.....................................................................................................................................)

Answer:

3 tickets

Step-by-step explanation:

8x+3 = 9x

x = 3

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

Answer:

Stored energy

Step-by-step explanation:

Answer:

domain is (2,-3)

range is (1)

Answer:

50% decrease

Step-by-step explanation:

50% = half

half of 42 is 21

there are 21 left, so 21 (which is half or 50%) were adopted