A rectangular flower garden measures 9 ft. by Il ft. About how long is a diagonal path through the garden?

Answer:

p=6

Was option B supposed to be 6 instead of -6?

Work:

2/3p-8=-2p+8

2p-24=-6p+24

8p=48

p=6

Before we do this problem, let's go over a little algebra terminology.

The number in front of your variable is called your coefficient and notice that the x at the end of the problem does not have a coefficient.

When that happens, when there is no number in front of your variable, you can put a 1 there to fill that position. So -x can be thought of as -1x.

Next let's change all our minus signs to plus negatives.

So the problem reads 3x + 5 + 7x + -3 + -1x + 2.

Now let's simplify this by combining like terms.

We can combine our "x" terms first.

3x + 7x + -1x simplifies to +9x.

Now, 5 + -3 + 2 simplifies to 4.

So our answer is 9x + 4.

Answer:

10x-x+7-3

Step-by-step explanation:

Answer:

cos 30=0.860254038

sin 30=0.5

Step-by-step explanation:

use a calculator

Answer:

4.75 feet

Step-by-step explanation:

Perimeter for any rectangular shape is given by 2(length + width).

Fencing the garden means one wiring the garden along  the perimeter.

Thus, it can be concluded that garden has perimeter of 26 feet as given in question.

__________________________________________

Let the width be x feet

given that,  He wants the length of the garden to be 3 1/2 feet longer than the width

thus, length of garden = x + 3 1/2 feet = x + 3.5 feet

if length is x+3.5 feet and width is x feet.

Then perimeter = 2( x+3.5 + x) = 2(2x+3.5) = (4x + 7) feet.

This perimeter will be equal to 26 feet fence

thus,

(4x + 7)  = 26

=> 4x = 26 - 7 = 19

=> x = 19/4 = 4.75 feet

x is width of garden.

Thus, he should make the garden 4.75 feet wide.

Answer:

4.75

Step-by-step explanation:

Answer:

5.7m

Step-by-step explanation:

the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

sides a and b are the two shorter sides.

side c is the hypotenuse (longest side)

as shown in the picture below, because we know both sides c and b, we need to change the equation around:

[tex]c^{2} -b^{2} =a^{2}[/tex]

replace these sides with their numbers:

[tex]6^{2} -2^{2} = 32[/tex] (remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

[tex]\sqrt{32} =5.65685...[/tex]

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)

Answer:

5.7

Khan

Alright

Make me brainliest please just once.

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

7+8/2 multiply by 6

Answer:

C. 78 sq. units

Step-by-step explanation:

[tex]area \: of \: trapezoid \\= \frac{1}{2} \times (19 + 7) \times 6 \\ = 26 \times 3 \\ = 78 \: sq \: units[/tex]

Answer:

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

2512 = 3.14 × r^2 × 8

[tex]r^2 = \displaystyle\frac{314}{3.14}[/tex]

[tex]r^2 = 100[/tex]

[tex]r = 10 \ cm[/tex]

[tex]Diameter = 2r = 20 \ cm [/tex]

Dont get confused try to understand : )

Answer:

20 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We are given the volume and the height

2512 = pi r^2 *8

Divide each side by 8

2512/8 = pi r^2 *8/8

314 = pi r^2

Divide each side by pi

314/3.14 = 3.14 r^2 /3.14

100 = r^2

Take the square root of each side

sqrt(100) = sqrt(r^2)

10 = r

We want to find the diameter

d =2r

d =2(10)

d =20

The diameter is 20 cm

Answer: $200-$75=$125

Answer:

125$

Step-by-step explanation:

$200-$75=125$

Answer:

y = 3x

Step-by-step explanation:

The difference between consecutive values of y are constant, that is

9 - 6 = 6 - 3 = 3 - 0 = 0 - (- 3) = - 3 - (- 6) = 3

This constant is the required multiplier, that is

y = 3x

Answer:

[tex]\frac{1}{125}[/tex]

Step-by-step explanation:

The given expression is

[tex](5^{-2}) (5^{-1})[/tex]

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

[tex](5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}[/tex]

Then, we use the negative exponent property

[tex]5^{-3}=\frac{1}{5^{3} }[/tex]

Finally, we solve the power

[tex]\frac{1}{5^{3} }=\frac{1}{125}[/tex]

Therefore, the given expression is equivalen to [tex]\frac{1}{125}[/tex].

Answer:

the answer is C

Step-by-step explanation:

Answer:

V = 687.28 cm ^3

Step by step explanation:

687.28 m ^3 is found in 3 steps.

Volume of a sphere = V=4/3πr3 = 268.8 m^3

Volume of a semi sphere = V  = (2/3)πr.  but i divide the top one by 2

= 268.8/2 = 134.4 m^3

Volume of a Cylinder prism = V=πr2h = 502.61 m^3

Volume of a cone V=(πr2 )h/3 = 50.27

We add 134.4 + 502.61 +50.27 = 687.28 m ^3

How to find Area;

We remember and compare to Area and other areas the values.

Area = 415m^2

circle is semi sphere A = π r2 h= 200.1 = /2 or *0.5 A=100.53 m^2

cylinder lateral A = 2πrh  L = 251.327412 m^2 = 251 m^2

Cone lateral A=πrh2+r2 = 62.83 = 63 m^2

= 100.53 + 251.327412 + 62.83 =414.687412

or 101+251+63 = 415 m^2

Notes;

The best way is to find someway of not overwhelming yourself with the combined volume question and know what actually makes a cylinder being the central prism.

So write down all these values below onto a flashcard and title it Area of a composite Semi-sphere/cylinder/cone r = 4 / h= 10 r =4  / r= 4 h=3

and write these down.

Cylinder

lateral surface area L = 80 π m2

top surface area T = 16 π m2

base surface area B = 16 π m2

total surface area A = 112 π m2

Cone = 62.83

Semi sphere = 100.53

Area = 415 m2

Answer:

X=57

Step-by-step explanation:

77+46+X=180

123+X=180

X=180-123

X=57

Answer:

57°

Step-by-step explanation:

Hope it helps you in your learning process

46° + m∠SAQ + 77° = 180° (straight line angles)

m∠SAQ + 123° = 180°

m∠SAQ = 180° - 123°

m∠SAQ = 57°

Answer:

24 square feet

Step-by-step explanation: There are four "triangles" of the rhombus. If you find the area of each triangle by multiplying the height by the width and divide by two, you get 6. You then multiply that by 4 to get 24.

i think it is 4

hope this helps

Answer:

2328.5 weeks or 6.4 years

Step-by-step explanation:

69855/30= 2328.5/365= 6.4

Answer: 30

Step-by-step explanation:

simple

Answer:

Greater than, less, than, equal to, greater or equal to, less than or equal to

Step-by-step explanation:

Answer:

~47%

Step-by-step explanation:

18 / 38 = 0.47368421053 = ~0.47 = 47%

Answer:

y = -2x

Step-by-step explanation:

I used slope intercept form and took one of the answers and the slope hit (-2,4).

Answer:

-6/5   (This is Answer c)

Step-by-step explanation:

Re-writing this equation in standard form, we get:

25x^2 + 60x + 36 = 0.  The coefficients are a = 25, b = 60 and c = 36.

The discriminant, b^2 - 4ac, is 60^2 - 4(25)(36), or 3600 - 3600, or 0.

Because the discriminant is 0, we have two real, equal roots, corresponding to

       -b        -60

x  = ------ = ----------  = -6/5   (This is Answer c)

        2a       2(25)

Answer:

24

Step-by-step explanation:

radius^2 = diameter

Answer:

24ft

Step-by-step explanation:

all you had to do is multiply 12x2

So the right answer is 24.19 cm^2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] = 24.19 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

58 times 0.17 which agrees with answer C in the given list of possible answers.

Step-by-step explanation:

Notice that 17% in math terms is 17/100 = 0.17

Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:

58 times 0.17

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 ,  25

Step-by-step explanation:

Given data

               allowance        No allowance          total

Chores         13                   3                          16

No chores      5                   4                           9

Total              18                   7                            25

Relative frequencies

               allowance          No allowance                  total

Chores         [tex]\frac{13}{16} = 0.8125[/tex]     [tex]\frac{3}{16} = 0.1875[/tex]                       16

No chores      [tex]\frac{5}{9} = 0.555[/tex]      [tex]\frac{4}{9} = 0.444[/tex]                            9

Total              18                   7                                   25

Answer:

91.125  in^3

Step-by-step explanation:

4.5*4.5*4.5 = 91.125