If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in feet, of the park?

Answer:

B. SAS

Step-by-step explanation:

the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

Answer:

a) Yes. y=-4x+2. b) No.

Step-by-step explanation:

a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.

b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.

using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1

The next one would be 4 over -1  

Not 100 percent sure

━━━━━━━☆☆━━━━━━━

▹ Answer

(4, 2)

▹ Step-by-Step Explanation

2x - y = 6

2x - 2y = 4

2x = 6 + y

2x - 2y = 4

6 + y - 2y = 4

y = 2

2x - 2 * 2 = 4

x = 4

(x, y) = (4, 2)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

Using elimination method

2x - y = 6........ 1

2x - 2y = 4 ......... 2

Subtract equation 2 from 1

That's

2x - 2x - y + 2y = 6 - 4

y = 2

Substitute y = 2 into any of the equations

Using equation 1

2x - 2 = 6

2x = 6+2

2x = 8

Divide both sides by 2

x = 4

Therefore x = 4 , y = 2

Hope this helps you

Answer:

[tex]\sqrt{15.76}[/tex]

Step-by-step explanation:

[tex]\sqrt{9.6230 \frac{2.340}{5.310}3.721 }[/tex]

Lets solve the fraction first

[tex]\frac{2.340}{5.310} =0.44[/tex]

9.6230 x 0.44 = 4.23

4.23 x 3.721 = 15.76

[tex]\sqrt{15.76}[/tex]

Answer:

Step-by-step explanation:

La vaca

El pato

Answer:

L

Step-by-step explanation:

You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).

8 - 1 = 7

That is the largest difference between the coordinates of the points shown in the graph.

Answer:

3 1/2 =x

Step-by-step explanation:

(1/2) / 4 = x/28

Using cross products

1/2 * 28 = 4*x

14 = 4x

Divide each side by 4

14/4 = 4x/4

7/2 = x

3 1/2 =x

Answer:

[tex]\boxed{Option1}[/tex]

Step-by-step explanation:

[tex]\frac{1/2}{4} = \frac{x}{28}[/tex]

Cross Multiplying

=> 1/2 * 28 = 4x

=> 14 = 4x

=> 4x = 14

Dividing both sides by 4

=> x = 14/4

=> x = 7/2

=> x = [tex]3\frac{1}{2}[/tex]

Answer:

second one

Step-by-step explanation:

it is the second one , it has three expression starts with 5

when n=0 :2n+5=2(0)+5=5

n=1 : 2n+5=7

n=2: 2n+5=4+5=9

n=3: 2n+5=11

Answer: B

Step-by-step explanation:

Answer:

Well, Your answer is 12 units.

Because, It was on edgunity

Good Luck with your homework!!~

Answer:

Hello There. The answer to this is The length of W'X' will be exactly given by, 12 unit. Explanation: The Rectangle WXYZ is dialated by a factor of 12/5 to form the rectangle W'X'Y'Z'. So, if the length of WX is 5 unit, the length of W'X' will be exactly given by, the lenght WX x Dialation factor. = (5 x 12/5) unit. = 12 unit

Hope It Helps! :) ♡

ItsNobody~

Answer:

[tex] \angle T \cong \angle Z[/tex]

Step-by-step explanation:

[tex]\because \triangle QPT \cong \triangle ARZ... (given) \\

{ \purple{ \bold{\therefore \angle T \cong \angle Z.. (c.a.c.t.)}}}[/tex]

Answer:

17.7

Step-by-step explanation:

Area of a triangle is 1/2×L×B

since a degree is given we are to multiply it with it and we are to use SIN

so 1/2×sin65×4.5×13.1

sin65= 0.6018

so 1/2×0.6018×4.5×13.1

=35.47/2

=17.7

The area of the triangle is 17.7 square inches option (A) 17.7 is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We know,

The area of the triangle:

A = ab(sinx)/2

a = 13.1 cm, b = 4.5 cm, x = 37 degrees

A = 13.1×4.5(sin37)/2

A = 29.475sin37

A = 17.7 square inches

Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.

Learn more about the triangle here:

brainly.com/question/25813512

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Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

Answer:

10x = 10.

Step-by-step explanation:

The equation will contain the  x variable only.

Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

Answer:

Width=8

Length=11

It's an 8m x11m rectangle.

Step-by-step explanation:

2L+2W= 38

2(w+3)+2w=38

2W+6+2w=38

4W=32

W=8

L=W+3=8+3=11

CHECK: 8+8+11+11=38

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{Question \#1.}[/tex]

[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]

[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Question \#2.}[/tex]

[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

Answer:

A)  [tex]T=\frac{-20}{4}[/tex]

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

[tex]T=\frac{-20}{4}[/tex]

B) In order to simplify the expression, simply perform the division.

[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]

This means that the temperature has dropped by 5 degrees each week.

Answer:

Easiest and fastest way to do this is to input both equations into a graphing calc and tracing to where the 2 graphs intersect.

Alternatively, you can use substitution to solve for your answer.

Step-by-step explanation:

Answer:

27.2

Step-by-step explanation:

The mean age of 8 women in the office is 20 years old

The mean age of 12 men in an office is 32 years old

The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.

The mean of the women can be calculated by taking the sum of the value and dividing by the number

= 20+20+20+20+20+20+20+20/8

= 160/8

= 20

The mean of the men can be calculated by taking the sum of the values and dividing by the number

=32+32+32+32+32+32+32+32+32+32+32+32/12

= 384/12

= 32

Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office

= 384+160/20

= 544/20

= 27.2

Hence the mean age of people in the office is 27.2

Answer:

34.98 square units.

Step-by-step explanation:

It is given that DEF is a triangle, EF=10, DF=7 and DE=12.

Information of sides of triangle is relevant to calculating area.

We should use Heron's formula.

According to Heron's formula, the area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,  

[tex]s=\dfrac{a+b+c}{2}[/tex]

For triangle DEF, let a=10, b=7 and c=12.

Now,

[tex]s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5[/tex]

Area of triangle is

[tex]A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}[/tex]

[tex]A=\sqrt{14.5(4.5)(7.5)(2.5)}[/tex]

[tex]A=\sqrt{1223.4375}[/tex]

[tex]A=34.977671[/tex]

[tex]A\approx 34.98[/tex]

Therefore, the area of triangle DEF is 34.98 square units.

Answer:

SSS, Heron's formula, and 34.98 square units

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

45 ÷ 4 = 11.25

Answer:11.25

Step-by-step explanation:

4 can fit into 44 11.25

Answer:

Please refer to the attached image for the graph of g(x).

Step-by-step explanation:

First of all, let us find the value of g(x).

Given that:

[tex]f(x) =2x-5[/tex] and

[tex]g(x) = f(x+1)[/tex]

To find: The graph of g(x) = ?

Solution:

[tex]f(x+1)[/tex] means we replace  'x' with 'x+1' and we get g(x).

Let us replace x with x+1 in f(x):

[tex]f(x+1) = 2(x+1)-5\\\Rightarrow f(x+1) = 2x+2-5\\\Rightarrow f(x+1) = 2x-3\\\therefore g(x) = 2x-3[/tex]

Now let [tex]y=g(x) =2x-3[/tex]

Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g(x).

Putting x = 0,

[tex]y=2\times0-3\\\Rightarrow y =-3[/tex]

So, one point is A(0,-3)

Now, let us put y = 0 and find out x.

[tex]0=2x-3\\\Rightarrow x=\dfrac{3}{2}[/tex]

So, second point is [tex]B(\frac{3}{2},0)[/tex].

Now, let us plot A and B then extend the line joining AB.

Please refer to the attached image for the graph of function:

g(x) = 2x - 3

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

Given:

x=2y

x+y=51

Substitution:

2y+y=51

Formula:

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

Proof:

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

⇒ b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

Learn more about exponential function here:

https://brainly.com/question/11487261

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Answer:

-2/3

Step-by-step explanation:

Step 1: Write out expression

1 2/3 - 2 1/3

Step 2: Convert to improper fractions

5/3 - 7/3

Step 3: Subtract

-2/3

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]

[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]

Hope this helps! :)

Answer:

19.5 yd

Step-by-step explanation:

To khown the maximum height we must derivate the function and see when the derivated function equals 0

Let f be our function : f(x)= -0.04x²+1.56x ⇒f'(x)= -0.08x+1.56

Answer:

45.63

Step-by-step explanation:

Answer:

5 <x

Step-by-step explanation:

–2(3x + 2) > –8x + 6

Divide each side by -2, remembering to flip the inequality

–2/-2(3x + 2) < –8x/-2 + 6/-2

3x+2 < 4x-3

Subtract 3x from each side

3x-3x+2 < 4x-3x-3

2 < x-3

Add 3 to each side

2+3 < x-3+3

5 <x

Answer:

Step-by-step explanation:

-2( 3x + 2) > -8x + 6

-2*3x + (-2)*2 > -8x + 6

-6x  - 4 > -8x + 6

Add 4 to both sides

-6x - 4 + 4 > -8x + 6 + 4   { add like terms}

-6x > -8x + 10

Add 8x to both sides

-6x + 8x > - 8x + 10 + 8x

2x  > 10

Divide both sides by 2

2x/2 > 10/2

x > 5

Answer:

[tex]\frac{h-12-2}{4} = x[/tex]  & a² = c² - b²

Step-by-step explanation:

h = 4 (x + 3y) + 2

Expand brackets

h = 4x + 12y + 2

Subtract 12y & 2 from both sides

h - 12y - 2 = 4x

Divide both sides by 4

[tex]\frac{h-12-2}{4} = x[/tex]

a² = c² - b²

Then √ both sides to lose the ²

Answer:2a√(15a)

Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)