Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction. A. 245/1152
B. 2/5
C. 4/10
D. 42/48

Answers

Answer 1
Answer: well first you have to flip one of the fractions, so for example 7/24 x 48/35 which should give you an answer of 336/840. If you simplify this down you should get 4/10. Another way of double-checking or simplifying is by dividing 336 by 840 (which should give you 0.4) and dividing 4 by 10 (which should also give you 0.4). Hope this helps!
Answer 2
Answer:

Answer: well first you have to flip one of the fractions, so for example 7/24 x 48/35 which should give you an answer of 336/840. If you simplify this down you should get 4/10. Another way of double-checking or simplifying is by dividing 336 by 840 (which should give you 0.4) and dividing 4 by 10 (which should also give you 0.4). Hope this helps!

Step-by-step explanation:


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A surveyor measures the angle of elevation to the top of a building to be 70 degrees. The surveyor then walks 50 ft farther from the base of the tower and measures the angle of elevation to be 50 degrees. The surveyor's angle-measuring device 5.5 ft from the ground. How tall is the building, to the nearest foot?

Answers

Answer:

height of building,H = 5.5 ft + 105.2 ft = 111 ft to the nearest ft.

Step-by-step explanation:

in this question we have given angle of elevation=70^o

when surveyor walks 50m farther from the base of the tower that time angle of elevation=50^o

As shown in figure in triangle ABD

Tan (70)= (h)/(x) .............(1)

or h=2.74x

and in triangle ABC

Tan (50)= (h)/(50+x) ...........(2)

put value of h in equation 2

we got,

1.19= (2.74x)/(50+x)

(50+x)1.19=2.74x\n50* 1.19+1.19x-2.74x=0\n59.5-1.55x=0\n59.5=1.55x\nx=38.39ft

therefore,

Height of the tower is,h=2.74\times 38.39ft

h=105.2ft

Therefore,

height of building,H = 5.5 ft + 105.2 ft = 111 ft to the nearest ft.

43.804 ft

Working;
Start by drawing the diagram as shown in the attached diagram;
Then use the following trigonometric relations;
Tan (50)= (h)/(50+x)
Tan (70)=(h)/(x)

You can then use the value of x to find the value of h. Then add 5.5 ft to h to get height of the building

How many solutions are there to the equation below?

12x+6=5x

Answers

Answer:  There is one solution to the given equation.

Step-by-step explanation:  We are given to find the number of solutions to the following equation :

12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the given equation is linear in one variable x, so it will have only one solution.

The solution of equation (i) is given by

12x+6=5x\n\n\Rightarrow 12x-5x=-6\n\n\Rightarrow 7x=-6\n\n\Rightarrow x=-(6)/(7).

Thus, there is one solution to the given equation.

How to graph the equation y=1/4x-6

Answers

y= (1)/(4)x-6 \n \nx=-8 \Rightarrow y=(1)/(4)* (-8)-6=-2-6=-8\n \nx=-4 \Rightarrow y=(1)/(4)* (-4)-6=-1-6=-7\n \nx=0 \Rightarrow y=(1)/(4)* 0-6=0-6=-6\n \nx=4 \Rightarrow y=(1)/(4)*4-6=1-6=-5 \n \nx=8 \Rightarrow y=(1)/(4)*8-6= 2-6=-4

A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?

Answers

Answer:

The angle that the ladder made with the ground = 53.13010235°

Step-by-step explanation:

The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.

The angle A is the angle the ladder made with the ground.

Length of ladder = c

height from the top of the ladder to the ground = a

The distance of the foot of the ladder and the wall = b

c = 10 ft

a = 8 ft

Using SOHCAHTOA

sin A = a/c

sin A = 8/10

sin A = 0.8

A = sin-1  0.8

A = 53.13010235°

so we got hypotenuse and opposite side so to find the angle we use the trig function
sin = opposite/hypotenuse
¢=angle
sin¢=8/10
sin¢= 0.8

arcsin¢=arcsin(0.8)
¢= 53.13 degrees

Solve the following system of equation graphically 2x+y=-1 and x+2y=4

Answers

As 2x + y = -1

Then,

y = - 1 - 2x

We can to replace on the bellow equation.

x + 2y = 4

x + 2.( -1 -2x) = 4

Doing the distributive

x + 2.(-1) + 2.(-2x) = 4

x -2 -4x = 4

-3x -2 = 4

-3x = 4 + 2

-3x = 6

x = 6/-3

x = -2
________________

Then, the value of y will be:

y = -1 -2x

y = -1 -2.(-2)

y = -1 + 4

y = 3

Identify the absolute extrema of the function and the x-values where they occur. f(x)=6x+(24/x^sqr)+3, x>0

Answers

f(x)=6x+(24)/(x^2)+3\nf'(x)=6-(48)/(x^3)\n6-(48)/(x^3)=0\n6x^3-48=0\n6x^3=48\nx^3=8\nx=2\n

For x<2 \wedge x\not=0 the derivative is negative.
For x>2 the derivative is positive.
Therefore at x=2 there's a minimum.

f_(min)=6\cdot2+(24)/(2^2)+3=12+6+3=21