the unknown side of a trapezium.

Answer:

552

Step-by-step explanation:

I'm almost certain this is correct. Only one step is rounded.

Answer:  942 - 225*sqrt(3)

This is roughly equivalent to 552.29

The unit for the area is in square cm, or cm^2.

The two area values above are based on pi = 3.14, so they are approximations.

============================================================

Explanation:

The radius of the circle is r = 30 because OA = 30.

The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately

However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2

This is not the final answer, but helps get us there.

What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.

If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.

-----------------------

The SAS (side angle side) area formula for a triangle is

Area = 0.5*p*q*sin(R)

where p,q are the sides and angle R is between those sides.

Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.

So the area of triangle AOB is...

Area = 0.5*p*q*sin(R)

Area = 0.5*30*30*sin(120)

Area = 450*sqrt(3)/2

Area = 225*sqrt(3)

This value is exact.

-----------------------

The area of the yellow region is therefore

(area of full figure) - (area of triangle)

(942) - (225*sqrt(3))

942 - 225*sqrt(3)

This is approximate because we used pi = 3.14 as an approximation earlier.

You could then use your calculator to say

942 - 225*sqrt(3) = 552.288568

This rounds to 552.29

Answer:

p = 212

Step-by-step explanation:

p-83=129

Add 83 to each side

p-83+83=129+83

p =212

Answer:=212

Step-by-step explanation:

add 83 to both sides and then simplify

−83=129

p-83=129

p−83=129

−83+83=129+83

Answer:

x^2-3x

pls mark me brainliest

Step-by-step explanation:

4x(x+2)-x(3x+5)

4x^2+8x-3x^2-5x

x^2-3x

Answer:

Angle A = 42°

Side b (Opposite side of angle B) = 13

Side c (Opposite side of angle C) = 29

Answered by GAUTHMATH

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

Step-by-step explanation:

it will not represent the equation of a line since there's no slope

9514 1404 393

Answer:

  no

Step-by-step explanation:

The equation becomes 0 = 0. This is a truism, valid for any variable values.

It is not the equation of a line.

Answer:

160= 2W + 2L ; W = L –16

2W+2L=160 ] ÷2

W+L= 80

W=L–16

____o____o___

L-60+L= 80 —> 2L= 96

L=48

W=L–16 —> w= 48-16 =32

W=32 ; L=48

I hope I helped you^_^

Answer:

i think yes!!!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, you did this correctly.

By subtracting the volume of the cylinder from the volume of the rectangular solid, you accurately acquired the volume of the remaining figure.

And yes, your calculations are correct.

Answer:

Its that squiglly one on top

Step-by-step explanation:

cuh cuh cuh cuh cuhc

Answer:

She used 1/8 or 12.5% more flour than sugar

Step-by-step explanation:

flour: 5/8

sugar: 1/2 = 4/8

[tex]\frac{5}{8} - \frac{4}{8} = \frac{1} {8} = 0.125[/tex]

0.125 = 12.5%

Answer:

Step-by-step explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

[tex]y=a(x-h)^2+k[/tex] and this will allow us to solve for the value of a:

[tex]6=a(6-4)^2+5[/tex] and

[tex]6=a(2)^2+5[/tex] and

6 = 4a + 5 and

1 = 4a so

[tex]a=\frac{1}{4}[/tex] and the equation is

[tex]y=\frac{1}{4}(x-4)^2+5[/tex]

Answer:

$30

Step-by-step explanation:

Let the ratios be 6x and 7x

Then 65 = 6x + 7x

65 = 13x

x = 65/13

x=5

6x = 6 x 5 = $30

7x = 7 x 5 = $35

Answer From Gauth Math

Answer:

90

Step-by-step explanation:

To solve this problem we need to set up an expression

35x+20

35 is the cost per hour, and 20 dollars is the visit fee.

x is the amount of hours the CT can work

So if we plug in the amount for the number of hours from the problem we get

35(2)+20

Which becomes 70+20 which is 90.

Hope thsi helps!

The computer technician works for 2 hours will take total charges equal to $90 .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7

According to the question

The computer technician charges $20 per visit plus $35 per hour.

i.e

Let hours he work = x

therefore,

Total charge of computer technician in equation = 20 +  35x  

Now,

As the computer technician works for 2 hours the cost will be

By using equation

Total charge of computer technician in dollars  = 20 + 35x  

where x = 2

so,

= 20 +  35*2  

= $90  

Hence, the computer technician works for 2 hours will take total charges equal to $90 .  

To know more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

130.81

Step-by-step explanation:

Given that :

Mean, μ = 100

Standard deviation, σ = 15

To obtain the upper 2% of scores :

We find the Zscore (value) of the upper 2% from the normal probability distribution table ;

Zscore corresponding to the area in the left of (1 - 0.02) = 2.054

Using this with the Zscore formula :

Zscore = (x - μ) / σ

2.054 = (x - 100) / 15

2.054 * 15 = x - 100

30.81 = x - 100

30.81 + 100 = x

x = 130.81

Answer:

B) ΔABC and ΔA′B′C′ are congruent.

Step-by-step explanation:

Given

See attachment for [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]

Required

Determine the relationship between both triangles

The single line on all sides of both triangles implies that the sides of the triangles are equal

i.e.

[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- sides

Similarly, the same mark on the three angles of both triangles means that the angles of the both triangles are equal

i.e.

[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- angles

Hence, both triangles are congruent

Answer:

B) ΔABC and ΔA′B′C′ are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

x < -45/15

=>

{xIx<-3}

Answer:

Step-by-step explanation:

Here, MN= NP

→ [tex]128=2x+70[/tex]

→ [tex]2x=128-70[/tex]

Subtract :-

→ [tex]2x=58[/tex]

Divide both sides by 2:-

→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]

→ [tex]x=29[/tex]

OAmalOHopeO

Answer:

x=1

Step-by-step explanation:

x-1/(x+1)(x-5)

When the numerator is equal to zero and the denominator is not equal to zero

x-1= 0

x=1

Answer:

Given,  

The ratio of the three numbers are 1:2:3 . Let the numbers are x , 2x and 3x.

According to the question,

x³+(2x)³+(3x)³=4,500  

⟹x³+8x³+27x³=4,500  

⟹36x³=4500  

⟹x³=4,50036  

⟹x³=125  

⟹x=125−−−√3  

⟹x=5  

So the numbers are 5,5×2=10,5×3=15  

Therefore, 5 is the smallest number.

https://www.quora.com/Three-numbers-are-in-the-ratio-1-2-3-and-the-sum-of-their-cubes-is-4-500-What-is-the-smallest-number

Answer:

c

Step-by-step explanation:

come on ! you can literally see that in the chart.

how many parts of the gray 3/8 are covered by the gray 1/4 ?

2 parts = 2/8 are clearly covered by 1/4.

2/8 is what part of 3/8 ?

it is the same question as "2 is what part of 3" ?

is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.

is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.

is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !

is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.

once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.

Answer:

brackets stand for multiplication therefore this means multiply 5.9 by 1.102..

I hope this helps and sorry if it's wrong

Answer:

3/5

=3*4/5*4

=12/20

I hope this will help.

Answer:12/20

Step-by-step explanation:

Answer:

this is this because of PTI

Step-by-step explanation:

pto explain it to me on Monday and Friday Saturday morning

Answer:

[tex]2x^2+5x[/tex]

[tex]=2xx+5x[/tex]

[tex]=x\left(2x+5\right)[/tex]

Hope it helps u

Answer:

its 196

Step-by-step explanation:

6m=40hours

1m=40×6h

=240hours

4m=240÷4

=60 hours

divide 60 by 8

=7.5 days

thus,

4 men take 2 and 1/2 day more to complete the job.

Answer: 2 1/2days