All categories

2 years ago

PLS PLS ASAP Find the value of x.

Mathematics

1 answer:

Arlecino [84]2 years ago

3 0

Answer:

x = 10 units

Step-by-step explanation:

16 is to 40 as x+2 is to 3x

16/40 = (x+2) / 3x

48x = 40x + 80

8x = 80

x = 10

You might be interested in

Hàm số nào là hàm lẻ<br> A sin^2 x+1 B cot^3x C tn3x cotx d cosx

Sedaia [141]

{(sin (x))^2A(csc(x))^3(cos))3B+(-3x)
{cot (dx) cos (x)

6 0

2 years ago

The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Leya [2.2K]

Answer:

The equation of the circular wheel is $x^2+(y-74)^2=(70)^2$ .

Step-by-step explanation:

Given :

Radius of Ferris wheel r = 70 feet.

The distance between the wheel and the ground = 4 feet.

Also, the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel.

So the x coordinate of center of wheel must be 0 , and y coordinate = 70 + 4 = 74

Thus, Coordinates of center = (0,74)

The equation of circle is given by :-

$(x-h)^2+(y-k)^2=r^2$

Now center (h,k) = (0,74) and r = 70 , we get

$x^2+(y-74)^2=(70)^2$

Hence, the equation of the circular wheel is $x^2+(y-74)^2=(70)^2$ .

6 0

3 years ago

How far is football field to the park? *show your work*

nalin [4]

Answer:

10.95 miles

Step-by-step explanation:

$a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_{h} = Park\ to\ Library\\\\t_{h} = \sqrt{a^{2} - 2^{2} } \\\\t_{h} = \sqrt{b^{2} - 10^{2} } \\\\b = \sqrt{12^{2} - a^{2} } \\\\-----------\\\\a^{2} - 2^{2} = 12^{2} - a^{2} - 10^{2} \\\\2a^{2} = 144 - 100 + 4 = 48 \\\\a = \sqrt{24} = 4.9\ miles \\\\-----------\\\\b = \sqrt{144 - 24} = \sqrt{120} = 10.95\ miles$

6 0

3 years ago

What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is loca

Mrac [35]

The length of segment BC can be determined using the distance formula, wherein, d = sqrt[(X_2 - X_1)^2 + (Y_2 - Y_1)^2]. The variable d represent the distance between the two points while X_1, Y_1 and X_2, Y_2 represent points 1 and 2, respectively. Plugging in the coordinates of the points B(-3,-2) and C(0,2) into the equation, we get the length of segment BC equal to 5.

4 0

3 years ago

Read 2 more answers

an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o

Gnom [1K]

X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles

7 0

3 years ago