Could 13.5cm, 8.0cm, 3.5cm, be the side lengths of a triangle

Answer:

A. Is the answer

I'm correct right?

Answer:

  82 2/9 square meters

Step-by-step explanation:

The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.

  P = 2(L +W) . . . . . . formula for the perimeter of a rectangle

  38 = 2(L +W) . . . . . the perimeter is 38 meters

  (L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.

__

Dividing the first equation by 2 gives ...

  19 = L +W

Solving this for L gives ...

  L = 19 -W

Substituting for L in the second equation, we have ...

  (19 -W) -3 = 2(W -2)

  16 -W = 2W -4 . . . . . . . simplify

  20 = 3W . . . . . . . . . . . add W+4

  W = 20/3 . . . . . . . . . divide by 3

  L = 19 -20/3 = 37/3 . . . . find L from W

__

The area of the farm is the product of length and width:

  A = LW = (37/3 m)(20/3 m) = 740/9 m²

  A = 82 2/9 m²

The area of the farm is 82 2/9 square meters.

Answer:

39

Step-by-step explanation:

above 50 it's nearest 100.

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Answer:

38.98

Step-by-step explanation:

Step 1: look at the number after the hundredths place, in this problem being 7

Step 2: Indecate wither thr number is larger than 5 or smaller than 5. If larger you would round up, if smaller you'd round down.

In this problem you would round up.

Step 3: When rounding up you go to the hundredths place and add one to that place. When rounding down, you delete all the values after the hundredths place.

Answer:

69

Step-by-step explanation:

The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.

Step-by-step explanation:

I think the expression is

(4x² + 9x - 7) - (-7x² + 5x - 1)

and that is the same as

4x² + 9x - 7 + 7x² - 5x + 1 =

= 11x² + 4x - 6

remember that the combination of two '-' signs turns this into one '+' sign.

to subtract a negative number is indeed the same as adding a positive number with the same absolute value.

Answer:

8 did not get an A

Step-by-step explanation:

75%  obtained an A , then

25% did not obtain an A

25% of 32

= [tex]\frac{25}{100}[/tex] × 32

= 0.25 × 32

= 8

Answer:1.4*10^-9

Step-by-step explanation:

Answer:

1.4×10−x^-{9}

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hopefully this helps you!

- Matthew

Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

Answer:

15.

Step-by-step explanation:

1) property:

m(∠B)+m(∠D)=180°;

2) according to the property:

3x+9x=180°; ⇒ x=15°

The value of x is 15 degree in the trapezoid ABCD.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles

A trapezoid is a quadrilateral with one pair of opposite sides parallel.

ABCD is a trapezoid.

We have to find the value of x in the given quadrilateral.

The sum of opposite angles of a quadrilateral is 180 degrees.

m(∠B)+m(∠D)=180°

From the figure m(∠B) is 3x and m(∠D) is 9x

3x+9x=180°

Combine the like terms

12x=180

x=15 degrees.

Hence, the value of x is 15 degree in the trapezoid ABCD.

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Answer:

13/42.

Step-by-step explanation:

That would be the sum of the 2 fractions:

1/6 + 1/7

= 7/42 + 6/42

= 13/42.

Step-by-step explanation:

a square has 4 identical sides.

so, when you have to "walk" around the perimeter of a square you have to go 4 times the same distance.

therefore

20 = 4×side length

side length = 20/4 = 5 in

it is a 5 in × 5 in square.

FYI a rectangle has 2 pairs of sides that are equally long inside their pair.

and so you have in this case a perimeter of

2×6 + 2×4 = 12 + 8 = 20 in

Answer:

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69...........(1)

x = 2y - 3

x - 2y = -3...........(2)

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.

Answer:

one number would be 63 and the other would be 6

Step-by-step explanation:

69/2=34.5

it says 3 less which means minus 3, so you would:

34.5-3=31.5

then it says twice the smaller number, so you would:

31.5*2

The approximate surface area of the balloon is 199 cm².

The approximate volume of the balloon is 262 cm³

Radius of the balloon = circumference / 6.2832

25 / 6.2832 = 3.98cm

Surface area = 4πr²

4 x 22/7 x 3.97² = 199 cm²

Volume =  4/3πr³

4/3 x 22/7 x 3.97³ = 262.20 cm³

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Answer:

63.1%

631/1,000

Step-by-step explanation:

Answer:

What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go

Answer:

Step-by-step explanation:

the circumference for the circle is 23 yd.

Answer:

Deck | 60 zed

wheels | 14 zed

trucks. | 16+16 32 zed

Hardware | 10 zed

total. | 116 zed

remaining 4 zed

Step-by-step explanation:

hope this helps

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Answer:

Step-by-step explanation:

Pyramid height should be 14

Base area should be 14*14(196)

So, Base area is 196

1. Multiply the Base area by the height of the pyramid:

196*14=2744

2. Divide the number above by 3:

2744/3=914.7

Answer:

Step-by-step explanation:

Assuming the s is a typo the answer to this system is x=7/15 and y=17/15

In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.

In this case, the x-coordinate is:-

[tex]\mathrm{1}[/tex]

and the y-coordinate is:-

[tex]\mathrm{-1}[/tex]

Plug in the values:-

[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]

[tex]\mathbf{-10-5=-8}[/tex]

[tex]\mathbf{-15=-8}[/tex]

Huh?!

As you can see, we ended up with a false statement.

Hence, the answer is:-

[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Step-by-step explanation:

Generaly , a point A(x₀ , y₀)  lies on the line of equation ax + by = c

If its coordinates verify the equation which means

When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c

Then

just replace x by 1 and y by -1 in the equation: -10x + 5y = -8

We get , -10(1) + 5(-1) = -10 - 5 = -15

Since -15 ≠ -8 then (1 , -1) don’t verify the equation

Hence ,  the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Answer:

D. Multiply by 3

Step-by-step explanation:

Given:

To find:

Notice that if you keep multiplying by 3:

Then you will get exact sequence as given, so next 3 missing terms have to be:

Hence, the pattern for this sequence is to multiply by 3.

Note

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

More about the statistics link is given below.

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Answer:

c= 30

Step-by-step explanation:

To find the value of c, start by forming an equation using the ∠ sum of ∆ property.

c° +60° +90°= 180° (∠ sum of ∆)

Simplify:

c° + 150°= 180°

c°= 180° -150°

c°= 30°

c= 30

Notes:

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

Answer:

Yes

Step-by-step explanation:

In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"

The lunch menu is an illustration of permutation and combination

To answer this question, the following set of lunch menu would be used:

Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.

So, the number of selection is:

n = 5³

Evaluate

n = 125

Possible selections are:

Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.

So, the number of selection is:

n = ⁵C₃

Evaluate

n = 10

Possible selections are:

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Answer:

The answer is 1

Step-by-step explanation:

5w² – 5w = 0

Add 5w both side

5w² – 5w + 5w = 5w – 5w

5w² = 5w

Now, Divide both side by 5w we get,

5w²/5w = 5w/5w

w = 1

Thus, The value of w is 1

Answer:

w = 1

Step-by-step explanation:

Given :

Bring 5w to the other side.

The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds

The function is given as:

h(t) = -16t^2 + 75

Next, we plot the graph of the function h(t)

From the graph of the function h(t) (see attachment), we have the following highlight:

t = -2.165 and t = 2.165 when h(t) = 0

Time cannot be negative.

So, we have:

t = 2.165

This means that the stick hits the ground at about 2.165 seconds

Read more about quadratic functions at:

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Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

Have a great day!!

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Hey Buddy !

For the following right triangle , find the side length x .

We have to find the value of x .

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

Substituting the values in formula :

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

Answer:

[tex]3\cdot \frac{1}{2},\:\frac{21}{7},\:\pi ,\:4.1[/tex]

Step-by-step explanation:

convert the number to all decimals or fraction and compare.