To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)

Answer:

3

Step-by-step explanation:

substitute where x=3 into the equation

so 4*3-1=11

4×3-1=11

12-2=11

11=11

proved..

Answer:

7,3

Step-by-step explanation:

for every 5 it goes right it goes 4 up. 2,1+5,4=7,3

Answer:

.

Step-by-step explanation:

Answer:

maybe you can attach the screenshot of the task?

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

Answer:

B?

COREEC IF WRONG

Answer:

y=-2/3x-3

Step-by-step explanation:

let the slope of the given line =m1

let the slope of the perpendicular line,=m2

m2=-1/m1

m2=-1/3/2

m2=-2/3

Now the equation of the perpendicular line

y--5=-2/3(x-3)

y+5=-2/3(x-3)

3y+15=-2x+6

3y=-2x+6-15

3y=-2x-9

y=-2/3x-3

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-6))/(4-(-2))

m=(6+6)/(4+2)

m=12/6

m=2

y-y1=m(x-x1)

y-(-6)=2(x-(-2))

y+6=2(x+2)

y=2x+4-6

y=2x-2

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Answer:

36.58

Step-by-step explanation:

38.3-1.72=36.58

The value of the expression 38.3 - 1.72 will be 36.58.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

38.3 and 1.72​

Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have

⇒ 38.3 - 1.72

⇒ 36.58

The value of the expression 38.3 - 1.72 will be 36.58.

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Answer:

A

Step-by-step explanation:

hope this helped

Answer:

4y = -3x - 8

Step-by-step explanation:

Answer:

[tex]4\frac{23}{33}[/tex]

Step-by-step explanation:

[tex]5 \frac{2}{12}[/tex]    ×    [tex]\frac{10}{11}[/tex]

[tex]\frac{62}{12}[/tex]    ×   [tex]\frac{10}{11}[/tex]

[tex]\frac{62*10}{12*11}[/tex]

[tex]\frac{620}{132}[/tex]

Divide both sides by 4

[tex]\frac{155}{33}[/tex]

Now let us write it as a mixed number

[tex]4\frac{23}{33}[/tex]

Hope this helps you :-)

Answer:

[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]

Coverting 5-1/2 into improper fraction :

[tex] \dashrightarrow{\dfrac{(5 \times 12) + (2)}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{(60) + (2)}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{60 + 2}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{62}{12} \times \dfrac{10}{11}}[/tex]

Performing multiplication :

[tex] \dashrightarrow{\dfrac{62 \times 10}{12 \times 11}}[/tex]

[tex] \dashrightarrow{\dfrac{620}{132}}[/tex]

Cutting the fraction into simplest form :

[tex] \dashrightarrow{ \cancel{\dfrac{620}{132}}}[/tex]

[tex] \dashrightarrow{ \dfrac{155}{33}}[/tex]

Coverting the improper fraction into mixed fraction :

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{4 \dfrac{22}{33}}}}}}}[/tex]

Hence, the answer is [tex]\bf{4 \dfrac{22}{33}}[/tex].

Answer:

x = 6

Step-by-step explanation:

3x - 2 = 2x + 4

First, we need only 1 set of x, so I'll subtract the smallest x from the other.

-2x both sides.

x - 2 = 4

Next, add +2 to both sides. (In these types of questions always do the inverse!)

And so your answer is:

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Add  2  to both sides of the equation

3x - 2 = 2x + 4

3x - 2 + 2 = 2x + 4 + 2

2. Simplify  

3x = 2x + 6

3. Subtract 2x from both sides of the Equation

3x - 2x = 2x  + 6 - 2x

4. Simplify

x = 6

Answer:

C

Step-by-step explanation:

Because its right

Answer: Do the math, the positive solution

t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)

Step-by-step explanation:

The following functions could represent the graph below then the correct option is B; y =  (x - a)^2 (x - b)^4.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

we have given that a and b are real numbers different than zero.

From the graph, we can see that the line touches the x-axis in two values.

Now, if we would have an equation such as:

y = x(x - a)^3 (x - b)^3

then when x = 0

y = 0(0-a)^3 (0-b)^3

y = 0

But in the graph, we can see that when x = 0, the value of y is different than zero,

(For example, if x > a and x < b we would have a negative value for y)

Then the correct option is B ;y =  (x - a)^2 (x - b)^4

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Answer:

hope this helped!

Step-by-step explanation:

75 km = 75000 m

1.5 hours = 5400 sec

Applying the formula

Velocity

=

75000 m

5400 s

=

13.89 m/s

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Step-by-step explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

y = 8 - 16 + 6, y = -2  

Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.

No, integers cannot be fractions or decimals.

Answer:

Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional

The amount at the end of the second year is $9,734.49.

The amount at the end of the fourth year is $10,811.22.

The amount at the end of the seventh year is $12,653.68.

The amount at the end of the tenth year is $14,810.14.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $8765

r = 5.28%

n = 4 (quarterly)

Amount after 2 years.

A = 8765 [tex](1 + 0.0131)^2[/tex]

A = $9,734.49

Amount after 4 years.

A = 8765 [tex](1 + 0.0131)^4[/tex]

A = $10,811.22

Amount after 7 years.

A = 8765 [tex](1 + 0.0131)^7[/tex]

A = $12,653.68

Amount after 10 years.

A = 8765 [tex](1 + 0.0131)^{10}[/tex]

A = $14,810.14

Thus,

The amount at the end of the second, fourth, seventh, and tenth year is given above.

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Answer:

38 degrees

Step-by-step explanation:

all triangles length added up are 180 degrees.

add 52 and 90 to get 142. Subtract to get 38 degrees.

Answer:

Yes. The factor is 3/2 (=1,5)

Step-by-step explanation:

They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.

Answer:

1) yes 2) 1.5

Step-by-step explanation:

have a nice day! <:

Answer:

option b.)y=1/4x-7/2.....

Answer:

The larger number is [tex]1100[/tex]

Step-by-step explanation:

Let larger number be [tex]x[/tex]

We have

[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]

Answer:

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

Now, According to the question :

[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]

Hence, the value of x is 100.

Now, calculating the larger number :

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]

Hence, the larger number is 1100

[tex]\rule{300}{1.5}[/tex]

The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies

The total mass of all the pennies = 2,400g

But two (2) pennies = 5g

Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.

That is: 2 pennies = 5g

x pennies = 2,400g

Making x the subject of formula,

[tex] x = \frac{2 \times 2400}{5} [/tex]

[tex]x = \frac{4800}{5} [/tex]

[tex]x = 960[/tex]

Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.

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The fraction 8/3 of the chocolate bars would each of you get.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have 4/3 chocolate bars.

You want to give 1/2 of the chocolate bars to your friend.

To find the fraction of the chocolate bars would each of you get:

Use division operation,

4/3 ÷ 1/2

Rearranging to multiplication term,

4/3 x 2/1

= 8/3

Therefore, 8/3  fraction of the chocolate bars would each of you get.

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Answer:

Step-by-step explanation:

Let Maggie's age = x

The brother's age = 3x - 5

x + 3x - 5 = 43

4x - 5 = 43              Add 5 to both sides

4x - 5 + 5 = 43+5

4x = 48                  Divide by 4

4x/4 = 48/4

x = 12

Maggie = 12

Brother = 3*12 - 5

Brother = 36 - 5

Brother = 31

Answer:

9.43

Step-by-step explanation:

You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)

Answer:

  9 23/53

Step-by-step explanation:

The fraction is not particularly nice. It can be written as ...

  9/0.954 = 9000/954 = 500/53 = 9 23/53

As a decimal, the fraction has a 13-digit repeat:

  [tex]9.\overline{4339622641509}[/tex]