Sarah worked for 1,200 minutes this week, what is the number of hours she worked

Step-by-step explanation:

its a triangle so find XZ then use cosine rule to find angle X

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

3

2

+

6

+

1

8

=

0

3x^{2}+6x+18=0

3x2+6x+18=0

=

3

a={\color{#c92786}{3}}

a=3

=

6

b={\color{#e8710a}{6}}

b=6

=

1

8

c={\color{#129eaf}{18}}

c=18

=

−

6

±

6

2

−

4

⋅

3

⋅

1

8

√

2

⋅

3

x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{3}} \cdot {\color{#129eaf}{18}}}}{2 \cdot {\color{#c92786}{3}}}

x=2⋅3−6±62−4⋅3⋅18

2

Simplify

Answer:

x=-1+or-i radical 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I guessed

Answer:

53°

Step-by-step explanation:

[tex]m \angle1 = \frac{1}{2} (50 + 56) \degree \\ \\ = \frac{1}{2} \times 106 \degree \\ \\ = 53 \degree[/tex]

Answer:

1. Letting the toy roll down a ramp

2. Letting the toy roll down a ramp

3. The objects must have similar charges

4. The plane moves

5. Thermal

Step-by-step explanation:

Answer:

{ 2/−3 ,−2/3, −8/12}

Step-by-step explanation:

Step-by-step explanation:

{2/-3, -2/3, -8/12 I think

Answer:

835.66

Step-by-step explanation:

:)

Answer:

75 (approx.)

Step-by-step explanation:

Cross Products

Cross product of two non-collinear vectors is a third vector which is orthogonal to the first two. The magnitude of the cross product equals the area of a parallelogram having the two given vectors as sides.

The the cross product u x v of vectors u<u1,u2,u3> and v<v1,v2,v3> is the value of the determinant formed by the direction vector <i,j,k> and u, v :

i     j    k

u1 u2 u3

v1 v2 v3

which evaluates to

P = u x v = (u2*3 - u3*v2)i – (u1*v3 - v1*u3)j + (u1*v2 – v1*u2)k = <p1, p2, p3>

The magnitude, which equals the area of the parallelogram, is the norm of P

Area = ||P|| = sqrt(p1²+p2² +p3²)

Plugging in values,

u<-4,-9,1>

v<-6,1,5>

Cross product P=(-45-1)i+(20-6)j+(-54-4)k =<-46+14-58>

Magnitude = sqrt((-46)^2+(14)^2+(-58)^2) = 2sqrt(1419)=75.34 (approx.)

So the area of the parallelogram is 75.3 approx.

Answer:

Step-by-step explanation:

Answer:

5x - 5

Step-by-step explanation:

We need to write a bionomial with ,

Definition of Binomial :-

Here let the variable be x . So one such bionomial can be ,

→ 5x - 5

Answer:

9/25

Step-by-step explanation:

Two pyramids are similar. Their base edges are a ratio of 3:5. Find the ratio of their surface area.

The ratio of the surface area is calculated as the square of the ratio of the edges

Hence,

Ration of surface area = 3²/5²

= 9/25

Answer:

Solution given:

y+135°=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

y=180°-135°

y=25°

again

2x-1+3x+1=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

5x=180

x=180/5.x=36

x=36°,y=25°

Answer:

3rd option

Step-by-step explanation:

cos([tex]\frac{5\pi }{6}[/tex] ) ← is an angle in the 2nd quadrant where cos < 0

= - cos(π - [tex]\frac{5\pi }{6}[/tex] )

= - cos([tex]\frac{\pi }{6}[/tex] )

= - [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

comvert units into one unit

4ft 2in = 4 + 2/12 ft

3ft 4in = 3ft + 4/12ft

Know that the ratio of tan(x) = O / A

and set up proportions

[tex] \frac{ba}{ac} = \frac{h}{rt} [/tex]

solve for h

Answer:

Step-by-step explanation:

assuming that the triangles are similar,  which I can't by what is shown in the picture, but I'm guessing that there are more instructions off screen , that say they are.

' = feet

" = inches

h / 20' = 4'-2" / 3'-4"

just use inches for this,  it's easier

h / 240" = 50" / 40"

h = 240 ( 50 / 40 )

h = 300"

h = 25'

Answer:

2y=9-x

y=9-x/2

9/2-x/2=mx+c

c=9/2

m=-1/2

Answer:

the answer of this question is

2y=-x+9

Given:

The function is:

[tex]y=5500\ln (9t+4)[/tex]

Where y is the sales of lawn mowers t years after a particular model is introduced.

To find:

How many mowers will be sold 3 years after a model is introduced?

Solution:

We have,

[tex]y=5500\ln (9t+4)[/tex]

Substituting [tex]t=3[/tex], we get

[tex]y=5500\ln (9(3)+4)[/tex]

[tex]y=5500\ln (27+4)[/tex]

[tex]y=5500\ln (31)[/tex]

On substituting the approximate value of ln(31), we get

[tex]y=5500\times 3.433987[/tex]

[tex]y=18886.9285[/tex]

[tex]y\approx 18887[/tex]

Therefore, the 18887 mowers will be sold 3 years after a model is introduced.

multiply the first equation with-3

-3x-6y=-18

3x+8y=4

2y=-14

y=-7

x=20

the answer is D

Answer:

The answer is D. when you substitute the x's with 20 and the y's with -7 it works. Plug them in and you have ur answer.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The line's slope equals the difference between points' y-coordinates divided by the difference between their x-coordinates. Select any two points on the line of best fit. These points may or may not be actual scatter points on the graph. Subtract the first point's y-coordinate from the second point's y-coordinate.

Answer:

The answer is C

Step-by-step explanation:

Answer:

Answer = D

Step-by-step explanation:

If you add all of the heights up you get 480. divide that by ten (because there were 10 students whose height was taken) then you get 48. therefore, the typical second-grade student is about 48 inches tall.

I hope this helps have a good day :)

The typical second-grade student is about 48 inches tall.

'Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.'

According to the given problem,

Given data = { 44, 45, 47, 49, 48, 48, 49, 50, 48, 52 }

Sum of the given data = 44 + 45 + 47 + 49 + 48 + 48 + 49 + 50 + 48 + 52

                                     = 480

Average of the given heights = [tex]\frac{480}{10}[/tex]

                                                 = 48

Hence, we can conclude,  The typical second-grade student is about 48 inches tall since the average of the given data is 48.

Learn more about mean here: https://brainly.com/question/22871228

#SPJ2

Answer:

(-1, 2/3).

Step-by-step explanation:

Taking the derivative of f, we get f' = x^2 - 1 = 0.  Thus, x = -1 and x = +1.

At the relative max, y = (1/3)(-1)^3 - (-1) = -1/3 + 1 = 2/3.

The relative maximum is at (-1, 2/3).

Answer:

A

Step-by-step explanation:

Answer:

[tex]y=\frac{5}{4} x+1[/tex]

Answer:

29

Step-by-step explanation:

Answer:

Hello! answer: 29

Step-by-step explanation:

10/\2 is just 10 × 10 and 10 × 10 = 100 3/5/\2 is just 3/5 × 3/5 and 3/5 × 3/5 = 9/25 now we can do the math! 100 × 9/25 = 36 and 36 - 7 = 29 So 29 is the answer hope that helps!

Answer:

3,982,754.7645691

Step-by-step explanation:

please say its right

Answer:

B = -25

Step-by-step explanation:

Note :-

Firstly there's no options mentioned in the question . So I would be providing you with the location of point B !

Given :-

By question , the Point A is at -20. And B is 5 less than A. So the location of point B on the number line is ,

→ B = -20 - 5

→ B = -25

Answer:

0.8

or

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

10 ÷ 12.50

10 ÷ 12.5

0.8

Answer:

10 divided by 12.5 = 0.8 is your answer