What is the perimeter of the trapezoid?
10m
8m
10m
18m

Answer:

  45°

Step-by-step explanation:

  θ = arctan(1) = 45°

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Make sure your calculator is in degrees mode.

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Additional comment

The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.

Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.

[tex]\huge \bf༆ Answer ༄[/tex]

Let the first number be x and second one be y !

Here's the Expressions representing the above scenario ~

If we add these two equations we will get ~

Now, plug the value of x in first equation ~

Therefore, the first number is x = 9 and the second number is y = 7

45 - 4 =41 and x is 20.5 or 20 1/2

Answer:

n=8

n=-2

Step-by-step explanation:

or,n-3=5

or,n=5+3

or,n=8

Now consider,

or,n-3=-5

or,n=3-5

or,n=-2

the inequality is 8 (w+18) ≤ 19

Answer: -15.625

Step-by-step explanation:

Let w represent the number:

8 (w + 18) ≤ 19

[tex]\frac{8\left(w+18\right)}{8}\le \frac{19}{8}[/tex]

[tex]w+18\le \frac{19}{8}[/tex]

[tex]w+18-18\le \frac{19}{8}-18[/tex]

[tex]w\le \:-\frac{125}{8}[/tex]

-125/8 or -15.625

Check:

[tex]8\left(-15.625+18\right)\le \:19[/tex]

[tex]8\cdot \:2.375 \leq 19[/tex]

[tex]19 \leq 19[/tex]

Therefore, the number is -15.625

Answer:

  A

Step-by-step explanation:

If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...

  15 = x +8   ⇒   x = 7 . . . . long sides equal length

and ...

  x +2 = 2x -5 . . . . . short sides equal length

  7 = x . . . . . . . . . . add 5-x

The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.

Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

Answer:

2.25 feet.

Step-by-step explanation:

Formula: divide the value in inches by 12 because 1 foot equals 12 inches.

So, 27 inches = 27 /12  =  2.25 feet.

Answer:

point-slope form: y-y1=m(x-x1) -> m=slope, (x1, y1) = coordinates of a point

point = (-14,-17) -> x1=-14, y1=-17

slope = 1 -> m=1

y-(-17)=1*(x-(-14)

y+17=1(x+14)

you don't need the *1 but some teachers are picky about that

Answer:

y + 17 = 1 ⋅ ( x + 14 )

Step-by-step explanation:

i think... trust someone else because i'm not 100% sure..

Answer:

no solution ?

Step-by-step explanation:

Answer:

Infinitely many solutions because the system of equations are the exact same.

Step-by-step explanation:

All the steps are in the pictures. If you have any questions let me know and I'll explain in simple terms :)

Answer:

600

Step-by-step explanation:

V = s×s×s = s³

V = 10×10×10 =1,000

Surface area

6a² = 6(10²) =600

The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.

The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.

The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.

The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.

Learn more about graphs of linear equations here: https://brainly.com/question/370278

Answer:

t=6.8

Step-by-step explanation:

t=2.01[squareroot(L)]

L=11.56

t=2.01[squareroot(11.56)]

t=2.01(3.4)

t=6.834

(round to nearest tenth)

t=6.8

Answer:

15 times there will be a blue and purple flag in the same spot

Step-by-step explanation:

300 miles / 10 miles = 30 blue flags in total

300 miles / 20 miles = 15 purple flags in total

There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.

I have attatched a demonstration of my thoughts to this post.

Answer:

3 hours

Step-by-step explanation:

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

lmk if you want an explanation

The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.

The linear equation can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the cost of basketball game tickets and y is the football game ticket.

After solving the above linear equation by substitution method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

63°

Step-by-step explanation:

Angle 2 is congruent in angle that has 63°

Refer to the attached pic

Answer:

7

6

3

1

1

because first they go down by three then one

Answer:

7

6

3

1

1

Step-by-step explanation:

Your Answer Is : - 31xz + 16xy - 9yz

Answer:

find the area and then multiply

Step-by-step explanation:

Answer:

The equation for the axis of symmetry is x=3

Step-by-step explanation:

Because the vertex is (-2,3) then the axis of symmetry must pass that point.

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

Answer:

Step-by-step explanation:

Expected growth =  0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20

= 17.25%.

Answer:

[tex]x=-345[/tex]

Step-by-step explanation:

[tex]2.3+0.02\left(x+20\right)-4.8=-9[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]

[tex]2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100[/tex]

[tex]230+2\left(x+20\right)-480=-900[/tex]

[tex]\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}[/tex]

[tex]230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)[/tex]

[tex]2\left(x+20\right)=-650[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2\left(x+20\right)}{2}=\frac{-650}{2}[/tex]

[tex]x+20=-325[/tex]

[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}[/tex]

[tex]x+20-20=-325-20[/tex]

[tex]\bold{x=-345}[/tex]

Answer:

Brett, Riley, Ellema, Jennifer, Kamal, Felipe

Step-by-step explanation:

You have put their scores least to greatest, -7<-5<-1<0<1<2<3

s = number of slices for a large pizza

so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be 4s.

we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.

[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]