Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).

Once you have found the missing coordinate use pythagoras to calculate the length of the sides.

Answer:

82 and 98.

Step-by-step explanation:

set up 2 equations

x+y=180

2x+16=180

you start by solving the second equation to find one of the angles.

180-16= 164

2x=164

164÷2= 82

x=82

since you've solved that equation, add in the missing variable to solve for the next one

82+y=180

180-82= 98

Answer:

The answer is 63.31

Step-by-step explanation:

[tex]2x - 5 + 3x - 42 + x + \frac{3}{7} x = 360 \\ \frac{45}{7} x = 360 + 47 \\ x = 63.31[/tex]

Ans should be 133°

Step-by-step explanation:

As we know..

sum of internal angles of a hexagon is 720°

So,

120+130+150+97+90+x=720

solving this we obtain value of x as 133°

Answer:

$5.94

Step-by-step explanation:

0.75 = 3/4

you can do 7.92*0.75 = 5.94 or do 7.92/4 = 1.98 and then 1.98*3 = 5.94 to find the total amount, whichever works better :)

9514 1404 393

Answer:

Step-by-step explanation:

We can let d represent the number of dimes. Then the number of quarters is 23-d, and the total value of the change is ...

  0.10d + 0.25(23 -d) = 4.70

  -0.15d + 5.75 = 4.70

  1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides

  7 = d . . . . . . . . . . . . . . divide by 0.15

There were 7 dimes in the change purse.

__

There were 23-7 = 16 quarters.

Answer:

The volume of this triangular prism is 20[tex]cm^{3}[/tex]

Step-by-step explanation:

Just like it is shown in the picture we can use the formula for the volume of a triangular prism.

[tex]V = \frac{1}{2}bhl[/tex]

In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...

[tex]V = \frac{1}{2}bhl\\\\[/tex]

[tex]V = \frac{1}{2}(5)(2)(4)[/tex]

[tex]V = 20cm^{3}[/tex]

Therefore the volume of the triangular prism is 20[tex]cm^{3}[/tex].

Are they a system or separate inequalities? I'm not sure but either way I will solve each:

[tex]\begin{bmatrix}-3x+5>20\\ \frac{1}{2}x-12<6\end{bmatrix}[/tex]

[tex]-3x+5>20,\\-3x>15,\\x<-5[/tex]

[tex]\frac{1}{2}x-12<6,\\\frac{1}{2}x<18,\\x<36[/tex]

Now if it were a system, the solution would be x<-5, since x<36 is the restriction. Otherwise just take x<-5 and x<36 independent of each other.

Answer:

x< -5, x<36

Step-by-step explanation:

[tex]-3x+5>20} \atop {\frac{1}{2}x-12<6 }} \right. \\[/tex]

Start with the first equation and solve for x

-3x+5>20

     -5   -5

-3x>15

/-3    /-3

x< -5

Do the second:

[tex]\frac{1}{2}x-12<6[/tex]

     +12    +12

[tex]\frac{1}{2}x[/tex]<18

/0.5    /0.5

x< 36

Answer:

$512.5

Step-by-step explanation:

Given data

P= $500

R=2.5%

T= 1 year

The compound interest formula is

A=P(1+r)^t

substitute

A=500(1+0.025)^1

A=500(1.025)

A=500*1.025

A=$512.5

Hence the balance is $512.5

Answer:

The inverse is [tex]\sqrt{169}[/tex]

Step-by-step explanation:

Answer:

169 divided by 13

the square root of 169

plz give brainiest

Step-by-step explanation:

[tex]\sqrt{169} =13[/tex]

Answer:

35 sweets

Step-by-step explanation:

Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amount of red sweets

Ration of green to red sweets is 3:1

Total Proportion = 3 + 1 = 4

Total number of sweet = > 140 sweets

The greatest amount of red sweets =

1/4 × 140 = 35 sweets

Answer:

you would have 50 dimes and 20 quarters

Answer:

If you were to fully simplify it would technically be 1/2 as 4/8 is correct but can be further rounded down

Step-by-step explanation:

1/8 x 4 = 4/8

4/8 ÷ 4 = 1/2

Answer:

y = 3x + 6

a- 1

b- 0

c- 6

Coordinates: (-2,0) (0,6)

Slope:3

y-intercept:(0,6)

Answer:

either 100 or 1,000

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

100+100-100x100/100

100+100-100x1

200-100x1

100x1

100

Answer:

Perimeter =  28·√2 + 24 feet

Step-by-step explanation:

The dimensions of the initial sheet of plywood are;

The length of the sheet of plywood = 25 ft.

The width of the sheet of plywood = 14 ft.

The shape cut from each corner of the sheet of plywood  = A right triangle

The leg length of each of the cut out right triangles = 7 ft.

The number of leg lengths of the right triangle cut from the length side of the initial sheet of plywood = 2

The length of the parallel sides of the remaining hexagonal piece of plywood = Initial length of the plywood - 2 × The leg length of the cut out right triangle

∴ The length of the parallel sides of the remaining hexagonal piece of plywood = 26 ft. - 2 × 7 ft.  = 12 ft.

The other side length of the remaining hexagonal piece of plywood = The hypotenuse side of the cut out right triangle

The hypotenuse side of the cut out right triangle = √((7 ft.)² + (7 ft.)²) = 7·√2 ft.

∴ The other side length of the remaining hexagonal piece of plywood = 7·√2

The number of side lengths in the remaining hexagonal piece of plywood = 4

The perimeter of the remaining hexagonal piece of plywood = 2 × The length of the parallel sides + 4 × The other side lengths

∴ The perimeter of the remaining hexagonal piece of plywood = 2 × 12 ft. + 4 × 7·√2 = (28·√2 + 24) ft.

The perimeter of the remaining hexagonal piece of plywood = (28·√2 + 24) feet

Answer:

Step-by-step explanation:

Solve inequality:

Highlight the points to the right from -5

Answer:

[tex]n>-5[/tex]

Step-by-step explanation:

−105<−7(5−2n)

Divide both sides by −7. Since −7 is negative, the inequality direction is changed.

[tex]\frac{-105}{-7}[/tex] > 5−2n

Divide −105 by −7 to get 15.

15>5−2n

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

5−2n<15

Subtract 5 from both sides.

−2n<15−5

Subtract 5 from 15 to get 10.

−2n<10

Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

n>[tex]\frac{10}{-2}[/tex]

Divide 10 by −2 to get −5.

n>−5

Answer:

6-3-1

Step-by-step explanation:

Just turn all of the words into numbers or signs.

six= 6

minus = -

three= 3

one= 1

Answer:

-12=-8 -4

-4= -9 +5

4=9+ (-5)

12= 8-(-4)

Step-by-step explanation:

We can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

To match each expression on the left with its numeric equivalent, we can simply evaluate the expressions:

Expressions play a crucial role in human interaction, conveying emotions, intentions, and information without the need for extensive verbal communication. They enrich our conversations and help create deeper connections with others.

-9 + 5 = -4

9 + (-5) = 4

8 - (-4) = 12

-8 - 4 = -12

Now, we can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

To know more about expressions here

https://brainly.com/question/1859113

#SPJ2

9514 1404 393

Answer:

  2/15

Step-by-step explanation:

The given expression for θ can be rewritten to ...

  5sin(θ + arctan(-3/4)) = 0

This will have solutions ...

  θ +arctan(-3/4) = nπ

  θ = nπ - arctan(-3/4) = nπ + arctan(3/4)

__

The corresponding values of sine and cosine will be ...

  sin(arctan(3/4)) = 3/5

  cos(arctan(3/4) = 4/5

or both values may be negative. Either sign will give the same result in the expression we're to find.

  (2sin(θ) -cos(θ))/(sin(θ) +3cos(θ)) = (2(3/5) -(4/5))/(3/5 +3(4/5))

  = ((6 -4)/5)/((3+12)/5) = 2/15

  [tex]\boxed{\dfrac{2\sin\theta-\cos\theta}{\sin\theta+3\cos\theta}=\dfrac{2}{15}}[/tex]

Answer:

Its 255+x=180 => so x=105

Answer:

yes

Step-by-step explanation:

all plants are multicellular because they always have more than one cell

Answer:

FALSE

Step-by-step explanation:

All true plants are regarded as multicellular organisms since they consist of more than a single cell.

Also, next time you ask a question, make sure not to mention you're in the middle of a test or quiz. It's against brainly's honor code because they think you're cheating!

Answer:

= 6.5

Step-by-step explanation:

You have to plug in 1.5 for x

->

4(1.5) + 0.5 = 6.5

Answer:

22.5 degrees

Step-by-step explanation:

Answer:

It 22.5 degrees

Step-by-step explanation:

π is equal to 180

o

π

8

is equal to

x

π

180

=

π

8

x

x

⋅

π

=

180

⋅

π

8

x

=

180

8

Answer:

-2 degree celsius

Step-by-step explanation:

-2 degree celsius

-5 degree celsius

Which is warmer?

__________________

Usually when people try to find a warmer temperature. They look for the biggest number, one that has more value, as in this case, people would tend to say since 5 is bigger than 2, therefore it must be warmer. Wrong. What we're dealing with here is negatives, this goes backwards, the number that is smaller is warmer, following that logic. Which is a warmer temperature?

-5 or -2?

-2 degree celsius