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2 years ago

Solve for b ցb – m = 9

Mathematics

1 answer:

yanalaym [24]2 years ago

5 0

Answer:

I couldn't write it since I don't have the format, but it is attached.

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In a triangle , the measures of the angles are x,x + 20 & 2x . What is the value of x ?

Alexus [3.1K]

X+x+20+2x=180
4x+20=180
4x=160
x=40

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2 years ago

Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention

tatiyna

A. Centrifuge had the biggest impact on the development of the cell theory

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2 years ago

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0

2 years ago

What is the volume of the cuboid in cm3 ?<br><br> What is the volume of the cuboid in mm3

KengaRu [80]

Answer:

3150mm

Step-by-step explanation:

1cm is 10mm you convert it then times it together l x b x h will equal 3150

7 0

10 months ago

A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a

iVinArrow [24]

Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet

we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others

so ya, you are right

6 0

2 years ago

Read 2 more answers