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kow [346]
3 years ago
9

Help someone with both of these ASAP thank you!!

Mathematics
1 answer:
Rashid [163]3 years ago
5 0
I can’t really see the picture it’s blurry
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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
Find the area of the circle r = 3 ft
pav-90 [236]

Answer:

9π ft² or approximately 28.26 ft²

Step-by-step explanation:

The area of a circle is A=πr².

Plug 3 in for the radius.

A=π(3²)

A=9π ft²,

or using 3.14 for pi,

Approximately 28.26 ft².

5 0
3 years ago
X and y intercepts of y=3x-6
Slav-nsk [51]

Answer:

x intercept=2, y intercept= -6

Step-by-step explanation:

X Intercept is when the graph crosses the X Axis, point of intersection. To find it, just convert into standard form and solve for x by getting rid of y.

The Y-intercept is where the line crosses the y-axis, point of intersection. It is the constant in the slope-intercept form.

5 0
3 years ago
Read 2 more answers
Please help me with number 1 please help ???
stira [4]

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

3 0
2 years ago
Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2
pshichka [43]

Answer:

3

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2)  = g( -1) so substitute in g(x) , x with -1

g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3

7 0
3 years ago
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