Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation

The distance around the perimeter would be 120 ft.

Perimeter is the distance around the edge of a shape.

The complete question is

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.

What is the distance around the perimeter of the garden?

let AE is the half of the diagonal AC.

AC = 30 ft.

So, AE = ½ * 30

AE = 15 ft

Now, using trigonometry

sin 30 = 15/AD

0.5= 15/AD

AD= 30 ft

Hence, distance around the perimeter would be: AD+AD+AD+AD=

=30 ft + 30 ft + 30 ft + 30 ft

= 120 ft.

Learn more about this concept here:

https://brainly.com/question/16400817

#SPJ1

Answer:A

Step-by-step explanation: just took it

Step-by-step explanation:

6y + 2(3x + 5) + 2y + 3 = 8r + 3r² + 6r² + 2r + r

6y + 6x + 10 + 2y + 3 = 9r² + 11r

8y + 6x + 13 = 9r² + 11r

half the diagonal is shown as 20cm.

The full diagonal would be 20 x 2 = 40 cm.

area of a square using the diagonal is 1/2 x diagonal^2

Area = 1/2 x 40^2 = 800 square cm

answer: 800 square cm.

The bearing of R from P is 019 and the distance |PR| is 8.75

A cyclist set out from a town P on a bearing of 060 to a town Q, 5 km away. He then moves on a bearing of 345 to a town R, 6km from Q.

See attachment

Start by calculating the distance PR using the following cosine ratio

PR² = PQ² + QR² - 2 * PQ * PR cos(Q)

Substitute known values

PR² = 5² + 6² - 2 * 5 * 6 cos(105)

Evaluate

PR² = 76.53

Take the square root of both sides

PR = 8.75

Next, calculate angle R using the following sine ratio

PQ/sin(R) = PR/sin(Q)

Substitute known values

5/sin(R) = 8.75/sin(105)

Evaluate the quotient

5/sin(R) = 9.06

Multiply both sides by sin(R)

9.06 * sin(R) = 5

Divide both sides by 9.06

sin(R) = 0.5519

Take the arc sin of both sides

R = sin⁻¹(0.5519)

Evaluate

R = 34

Calculate angle P using:

P = 180 - 34 - 105

P = 41

The bearing of R from P is then calculated as:

Bearing = 060 - 41

Evaluate

Bearing =  019

Hence, the bearing of R from P is 019

In (b), we have:

PR = 8.75

Hence, the distance |PR| is 8.75

Read more about bearing and distance at:

https://brainly.com/question/15221233

#SPJ1

Answer:

i don't know

Step-by-step explanation:

i don't know

Answer: 0.000000009085

Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!

Answer:

4

Step-by-step explanation:

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

3+x = 7

Subtract 3 from each side

3+x-3 = 7-3

x = 4

Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1  = 0                       Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1             Combine

(6x - 9)*3 = 1                             Divide both sides by 3

(6x - 9)*3/3 = 1/3                      Simplify

(6x - 9) = 1/3                             Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3                        Combine

6x = 9 1/3

6x = 28/3                                   Divide both sides by 6

6x / 6 = 28/3 // 6                       Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

x = 14/9

Answer:

8

Step-by-step explanation:

Income = 0

  so    0   = 9x^2 - 54x - 154  

             you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

    divide both sides of the equation by 9 to get

           x^2 -6x -16   = 0  which easily factors to :

          (x -8)(x+2) = 0     <===== this shows x = 8   or -2(throw out)

Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

Answer:

4

Step-by-step explanation:

A fundamental theorem of algebra,  the degree of a polynomial is the maximum number of roots the polynomial has.
The degree of the polynomial s 4 so it has 4 roots.

Answer:

  11.6 ft²

Step-by-step explanation:

We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.

__

The ratio of areas will be ...

  smaller area / larger area = (scale factor)²

  smaller area = (larger area)×(scale factor)² . . . multiply by the denominator

  smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values

The surface area of the smaller prism is about 11.6 square feet.

The value of x when f(x) = -4 is 3

The function is given as:

f(x) = -3x + 5

When f(x) = -4, we have:

-4 = -3x + 5

Subtract 5 from both sides

-3x = -9

Divide both sides by -3

x = 3

Hence, the value of x when f(x) = -4 is 3

Read more about functions at:

https://brainly.com/question/4025726

#SPJ1

Answer:

x = 3

Step-by-step explanation:

Hello!

Think of this as a linear equation: y = -3x + 4.

If f(x) = -4, it means that y = -4.

Plug in the value for y and solve for x.

The value of x is 3.

Answer: Hope this helps you.

1,3

Step-by-step explanation:

(6, 4) and (0,2)

4-2/6-0 =2,6 (1,3)

Step-by-step explanation:

please mark me as brainlest

Answer:

D1×D2/2sq

445×5= 225

225/2

=112.5

If the volume of each brick will be 64 cubic centimeters. Then the mass of each brick will be 192 grams.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm by 4 cm by 8 cm.

The density of each brick is 3 g/cm³.

Then the mass of each brick will be

The volume of each brick will be

V = 2 x 4 x 8

V = 64 cm³

Then the mass will be

m = 3 x 64

m = 192 gram

To learn more about the density refer to the link;

brainly.com/question/952755

#SPJ1

Answer:

For no solution,

2x + 9 + 3x + x = 6x

For one solution,

2x + 9 + 3x + x = 15

For infinitely many solutions,

2x + 9 + 3x + x = 6x + 9

Step-by-step explanation:

Step-by-step explanation:

1.  2x + 9 + 3x + x = 6x

6x + 9 = 6x

Subtract 6x from both sides,

9 = 0 which is absurd and hence the equation has no solution.

2.  2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

3. 2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

First simplify

#No solution

#One solution

#Infinitely many solution

Answer:

20 for $8

Step-by-step explanation:

When the height of the prism doubles, the percentage increase in the volume is 100%

The volume of a prism is:

V₁ = BH

Where:

B represents the base area and H represents the height.

When the height doubles, the volume becomes

V₂ = 2BH

The percentage increase is then calculated using:

%Increase = (V₂ - V₁)/V₁

So, we have:

%Increase = (2BH - BH)/BH

Evaluate

%Increase = 1

Express as percentage

%Increase = 100%

Hence, the percentage increase is 100%

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer:

119 4/7

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:

35+10+12+15+24+12+10=118

Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)

6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14

Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.

This means that our answer is 119 8/14 or 119 4/7

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.

__

The interior angle at the right end of the line is the supplement of 4x:

  180° -4x

The interior angle at the left end of the line is the supplement of 2x:

  180° -2x

  86° +(180° -4x) +(180° -2x) = 180°

Then the solution to the triangle is ...

  266° = 6x . . . . . . . . . add 6x-180°

  x = 266°/6 = 44 1/3° . . . . . divide by 6

Answer:-8.3

Step-by-step explanation:-8.3

Answer:

-8.3333333333

Step-by-step explanation:

First you want to start by multiplying (-2) * 3.

Next you want to multiply 1/2 * 1/3

Finally you add you answers together to get what you need.

Also this was very very very easy so go to summer school if you are this dum.

Answer:

[tex]\frac{\left(3x^2-6x+3\right)}{\left(x-1\right)3x-93x^2-3x^3x-33x^2-6}: -\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
[tex]\frac{3x^2-6x+3}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{-3\left(x^4+41x^2+x+2\right)}[/tex]
[tex]\frac{\left(x-1\right)^2}{-\left(x^4+41x^2+x+2\right)}[/tex]
[tex]-\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]

Answer:

3x-3

Step-by-step explanation:

use synthetic division

Answer:

dont now the answer but air math app will help you just take photo of problems

Answer:

4.08

Step-by-step explanation:

The distance the airplane can travel before it runs out of diesel is 15.67.

The first step is to convert gallon to kilogram

1 gallon = 3.79 kg

62 x 3.79 = 234.98 kg

Now, divide 234.98 by 15.: 234 . 98 / 15 = 15.67 kilogram

To learn how to convert units, please check: https://brainly.com/question/25993533

#SPJ1

Answer / Step-by-step explanation:

(300.500+40.60+8.2)=348.562

                  [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

         [refer to attachment for question] ~

    [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

✫ First of all, Slope-intercept form is written as follows:-

                                        [tex]\longmapsto\Large\textbf{y=mx+b}[/tex]

Where:-

To find:-

Solving,

           Replace m with -1/5 And b with -3:-

                 [tex]\large\text{$y=-\displaystyle\frac{1}{5} x-3$}[/tex]

[tex]\Uparrow[/tex]  [tex]\sf{the\:equation}[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]