Hellpppp!! Ik it’s so easy but I have a literal peanut brain

Answer:   x = 7

Thus 7 associates and 10 partners were assigned

Step-by-step explanation:

7 associates and 10 partners were assigned

Let "x" be the number of associates assigned to

case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

y = 10

Substitute y = 10 in eqn 1

x = 17 - 10

x = 7

Thus 7 associates and 10 partners were assigned

The missing piece of information is ∠C ≅ ∠C′

From the figure,  we have:

AB ≅ A'B'

<B ≅ <B'

The above means that:

The congruence theorem is given as:

AAS --- Angle Angle Theorem

i.e.

Two corresponding angles and one corresponding side are congruent

Since a congruent side and a congruent angle have been given;

We need a congruent angle to complete the piece

In this case, we have:

∠C ≅ ∠C′

Hence, the missing piece of information is ∠C ≅ ∠C′

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

Answer:

i think the awnser is c . if unattended, leave the horse tire up

Answer:

Remember that the Pythagorean's theorem says that:

For a triangle rectangle with hypotenuse H and catheti A and B:

H^2 = A^2 + B^2

Here we also need to remember that the area of a square of side length L is:

area = L^2

Now let's solve this.

First, we start with two squares, one of side length a and the other of side length b.

Such that the complete area in the first image is:

area = a^2 + b^2

Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.

in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:

area = c^2

Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:

a^2 + b^2 = area = c^2

a^2 + b^2 = c^2

And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.

Answer:

30

Step-by-step explanation:

length x width = surface area

7.5 x 4 = 30

Answer:

B. 37 units

Step-by-step explanation:

DE = 4x + 1

AB = 11x - 25

DE is a midsegment of the ∆ABC

Therefore:

DE = ½(AB) => Triangle Midsegment Theorem

4x + 1 = ½(11x - 25)

2(4x + 1) = 11x - 25

8x + 2 = 11x - 25

Collect like terms

8x - 11x = -2 - 25

-3x = -27

-3x/-3 = -27/-3

x = 9

✔️DE = 4x + 1

Plug in the value of x

DE = 4(9) + 1 = 36 + 1

DE = 37

Answer:

10 cups of water should be used

Step-by-step explanation:

Answer:

2 : 4 : : x : 20

2×20/4

2 × 5 = 10

therefore he should use 10 cups of water

Hope it helps!

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

480 because 6,720 divided by 14 is 480

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS

Answer:

D

Step-by-step explanation:

it is a quadratic trinomial

Answer:

117

Step-by-step explanation:

angle 2 = 117 so angle 1 has to =63 because they have to equal 180 (supplementary angles)

angle 1 =63 .  angle 3 =117

angle 7 is the same measurement of angle 3

hope this makes sense

Answer:

117 degrees

Step-by-step explanation:

angle 1 and 2 are supplementary angles which are angles whose measurements add up to 180 degrees

this means angle 1 = 63 degrees

63 + 117 = 180

angle 1 and 3 are linear pair angles which means they also equal 180 degrees

angle 3 = 117 degrees

angle 3 and angle 7 are corresponding angles which means their degrees are equal to each other

angle 7 = 117 degrees

The relationship between angle 2 and 7 would be alternate exterior angles

Answer:

C) 16 points

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

Area of the top of the snowman

A=πr^2

A=3.14(5)^2

A=78.5

A=πr^2

A=3.14(7)^2

A=153.86

The difference of the areas:

153.86-78.5

=75.36

The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

Answer:

Workdone = 4900joules

Step-by-step explanation:

Work-done = force x distance

Force = mass x acceleration

If we suppose that the aquarium is at height 0 at the top and height 1 at the bottom (since it's 1m deep), then we need to lift the slide at height x by x metres.

Mass = Density x Volume, therefore force needed to lift the slice is given is

F = density*volume*∆x*acceleration

Since we the mass changes as we take out water then there will be a change in height, for this reason we have ∆x.

Acceleration is due to gravity, therefore g=9.8m/s²

Density = 1000kg/m³

Volume = 4*1*1 = 4m³

F = 1000*4*∆x*9.8 = 39200∆x

Since our distance from the top of the aquarium to the bottom is x metres, then

Work-done = 39200x∆x

To find the total workdone, we find the integral of 39200xdx and the limit will be from 0 to 0.5 since we are to pump halfway of the aquarium. Integrating that we have

19600*x² limit from 0 to 0.5

19600(0.5² – 0²) = 19600(0.25 – 0) = 19600(0.25) = 4900joules

Answer:

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

it's not possible

I think -7 is the right answer but it's not possible actually

Answer:

c. -7

Step-by-step explanation:

(x+57) + (63+67) = 180

(x+57) + 130 = 180

x + 187 = 180

x = 180-187

x = -7

why did I make it equal to 180?

all the angles in a triangle always equal 180 :)

Answer:

im pretty sure what u have ther is right

Step-by-step explanation:

1. simple interest

I= p × r × t

I = 1050 × 4.5 × 2

I = $9450

2. principal

p = I/(rt)

p= 22.50/ (3× 3)

p = 22.50/9

p = $2.5

3. simple interest

I= p × r × t

I = 500 × 5 × 3

I = $7500

4. time

first convert r to decimal

r= r/100, r= 3.5 / 100

r= 0.035

t = i/(pr)

t = 43.75/ (2500× 0.035)

t = 43.75/ 87.5

t = 0.5 year or 6 months

Answer:

hot dog and baloney :>

Step-by-step explanation:

yeet

Answer:

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

I heard it so many times :)