What is a fraction for 2.43?

Answers

Answer 1

Answer: 2.43
= 2+ 0.43
= 2+ 43/100
= 200/100+ 43/100
= 243/100

The final answer is 243/100~

Answer 2

Answer: .43 = 43/100
So it is 2 43/100
If you want an improper fraction, it is 243/100

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What is the quotient of -32/8?

A bird sits on top of a lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35 degrees. The distance from the bird to the observer is 25 meters. How tall is the lamppost? Draw a diagram, label it, and show how to find this value.

Answers

Hello,
See the picture jointed

Elimination method 1) -4x + y = -12
4x + 2y = 6

2) 5x + 2y = 12
-6x - 2y = -14

3) 5x + 4y = 12
7x - 6y = 40

4) 5m + 2n = -8
4m + 3n = 2

Answers

3y=-6
y=-2
4x+2(-2)=6
4x-4=6
4x=10
x=5/2
(5/2,-2)

-x=-2
x=2
5(2)+2y=12
10+2y=12
2y=2
y=1
(2,1)

35x+28y=84
-35x+30y=-200
58y=-116
y=-2
5x+4(-2)=12
5x-8=12
5x=20
x=4
(4,-2)

20m+8n=-32
-20m-15n=-10
-7n=-42
n=6
5m+2(6)=-8
5m+12=-8
5m=-20
m=-4
(-4,6)

$1.)\n \n\begin{cases}-4x + y = -12\n 4x + 2y = 6 \end{cases}\n -------- \n 3y=-6/:3\n \ny=-2\n \n-4x+2=-12\n \n-4x=-12+2$

$-4x=-10/:(-4)\n \nx=(10)/(4)\n \nx=(5)/(2)\n \n\begin{cases}x=(5)/(2) \ny=-2\end{cases}$

$2.)\n \n\begin{cases}5x + 2y = 12\n -6x - 2y = -14 \end{cases}\n -------- \n -x=-2/*(-1)\n \nx=2\n \n5*2+2y=12$

$10+2y=12 \n2y=12-10\n \n2y=2/:2\n \ny=1\n \n\begin{cases}x=2 \ny=1\end{cases}$

$3.)\n \n\begin{cases} 5x + 4y = 12/*7\n 7x - 6y = 40/*(-5) \end{cases}\n \n\begin{cases} 35x + 28y = 84\n -35x +30y = -200 \end{cases}\n---------- \n58y=-116/:58\n \ny=-2$

$5x+4*(-2)=12\n \n5x-8=12\n \n5x=12+8\n \n5x=20/:5\n \nx=4\n \n\begin{cases}x=4\ny=-2\end{cases}$

$4)\n \n\begin{cases}5m + 2n = -8 /*4\n 4m + 3n = 2/(-5) \end{cases}\n \n \begin{cases}20m + 8n = -32\n -20m -15n = -10 \end{cases}\n------------ \n -7n=-42/:(-7)\n \nn=6$

$5m+2*6=-8\n5m+12=-8\n5m=-8-12\n5m=-20/:5\n \nm=-4\n \n\begin{cases}n=6\nm=-4\end{cases}$

What is the measure of angle ABC?

Angle ABC=___ degrees

Answers

Answer:

60°

Step-by-step explanation:

measure of angle ACB = 180-135= 45

then the required angle = 180-(45+75) = 60°

I hope that was helpful

Angle ABC = 60 degrees!

A triangle has vertices on a coordinate grid at A(-8, -10), B(9, -10), andC(9,-3). What is the length, in units, of AB?

Answers

The length of line AB is 17 units which is one side of a triangle.

What is a triangle?

A triangle is a closed 2D figure formed by joining three non-co-linear points. By the property of sides, triangles are of three types they are:- Equilateral triangle, Isosceles triangle, and scalene triangle.

We know the length of two given pairs of points can be determined by the distance formula which is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2$ .

Given are the points of the vertices of a ΔABC are A(-8, -10), B(9, -10), and

C(9,-3).

∴ The length of line AB is,

= $√((9 + 8)^2 + ( -10 + 10)^2)$ units.

= $√(17^2)$ units.

= 17 units.

learn more about triangles here :

brainly.com/question/2773823

#SPJ5

Answer:

Step-by-step explanation:

PLEASEEE HELP. Solve x^3-7x^2+6x-42=0

Answers

factor by grouping

x^2(x-7) + 6(x-7) = 0 [took x^2 out of the first two and a 6 out of the last two]
(x-7)(x^2+6) = 0 [moved (x-7) out to the front]
x = -i sqrt(6) , i sqrt(6) , 7

only one real solution of x = 7

$x^(3) -7 x^(2) +6x-42=0$

$(x-7)$ is a factor since it is a factor of -42 and 7 is a solution for f(x) to equal 0.

$(x-7)(a x^(2) +bx+c)=0$

$(x-7)( x^(2) +bx+6)=0$

$-7 x^(2) +b x^(2) =-7 x^(2)$

$-7+b=-7$

$b=0$

$(x-7)( x^(2) +6)=0$

$x-7=0$

$x^(2) +6=0$

$x=7$ (only solution because you can't square root (-6))

You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip. Express the total time required to complete the round trip, T, as a function of the average velocity on the outgoing trip, x.

Answers

Time required to complete the round trip $T=(420)/(x)+(420)/((x-15))$ where x is average velocity on the outgoing trip.

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

$420=t_1* x\n\nt_1=(420)/(x)$

Distance to vacation place = Time for return trip x average velocity of return trip

$420=t_2* (x-15)\n\nt_2=(420)/((x-15))$

We have total time T = t₁ + t₂

That is

$T=(420)/(x)+(420)/((x-15))$

Time required to complete the round trip $T=(420)/(x)+(420)/((x-15))$ where x is average velocity on the outgoing trip.

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What is a fraction for 2.43?

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Time required to complete the round​ trip where x is average velocity on the outgoing​ trip.

Time required to complete the round trip $T=(420)/(x)+(420)/((x-15))$ where x is average velocity on the outgoing trip.