Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś

Answer:

323

Step-by-step explanation:

310 + 13

300

10 + 10 = 20

3

300 + 20 + 3 = 323

Answer:

323

Step-by-step explanation:

you add the numbers

1. The number of different triangular frameworks that Joe can make which have a longest side 7 meters long, using the rods he has in stock is 6 triangular frameworks.

2. The value of c cannot be less than 2 and Joe can't use a 1 meter rod.

3. The length ​triangular frameworks can't be modeled by a single function rule.

In Mathematics, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < a < b + c

Where:

a, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem to the side lengths of this triangle, we have:

c > b > a

Part 2.

Next, we would investigate for other values of c such as 8, 6, and 4;

8 > 7 > 6            6 > 5 > 4            4 > 3 > 2

8 > 7 > 5            6 > 5 > 3

8 > 7 > 4            6 > 5 > 2

8 > 7 > 3            6 > 4 > 3

8 > 7 > 2

8 > 6 > 5

8 > 6 > 4

8 > 6 > 3

8 > 5 > 4

Part 3.

Assuming the value of c is even, the number of different triangular frameworks can be modeled by [tex]\frac{(c-2)^2}{4}[/tex]. Assuming the value of c is odd, the number of different triangular frameworks can be modeled by [tex]\frac{(c-3)(c-1)}{4}[/tex].

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Answer:

12(d-6)

Step-by-step explanation:

Answer:

12n-72

Step-by-step explanation:

You would say 12(n-6) because the difference of a number would be n and the difference is 6. When it says 12 times, then you will multiply it by the numbers in the parentheses.          

Answer:

y=1/2x-4

Step-by-step explanation:

y=1/2x+b

-3=1/2(2)+b

-3=1+b

-4=b

y=1/2x-4

Answer: Pen=$1.45, Notebook $2.33

Step-by-step explanation:

In order to solve this equation, you must be able to use your substitution propertys. 5x+2y=11.91 and 3x+3y=11.34

Using the first equation, 2y=11.91-5x then y=(11.91-5x)/2. Then substitute.

The data was modified to give you a complete explanation and help to solve your problem.

Answer:

[tex]y=1-x[/tex]

Step-by-step explanation:

A line passing through two points

Given two points A(x1,y1) and B(x2,y2), the equation of the line passing through them is:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The question provides the points (1,0) and (1,0). Note both points are the same. They cannot be used because there is not a unique line passing through a single point.

We'll use the points (0,1) and (1,0) instead.

[tex]\displaystyle y-1=\frac{0-1}{1-0}(x-0)[/tex]

[tex]\displaystyle y-1=\frac{-1}{1}(x-0)[/tex]

[tex]\displaystyle y-1=-x[/tex]

Reducing:

[tex]\boxed{y=1-x}[/tex]

Answer:

need a answer

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

-0.7x=2.1

x = 2,1 : (-0,7)

x = ( 21/10 ) : (-7/10)

x = -3

Answer:

$26.8

Step-by-step explanation:

To find the discount, you turn the percentage of the discount into a decimal (.33) then multiply it by the original price (40)

$40 x .33 = 13.2

You then subtract the total to the original price of the item (40)

$40 - 13.2 = 26.8

So the discount price of the jacket would be $26.8

Hope this helps!!

-Jerc

Answer:

A quadratic function with imaginary roots will never intersect the x-axis, because imaginary numbers are not real numbers. Therefore, the graph of a quadratic function with imaginary roots will be a parabola that does not touch the x-axis.

Here is an example of a quadratic function with imaginary roots:

f(x) = x^2 + 2x + 5

The discriminant of this quadratic equation is b^2 - 4ac = 4^2 - 4 * 1 * 5 = -4. Because the discriminant is negative, the roots of the equation are imaginary.

The graph of this function is shown below: Attachment

As you can see, the graph does not intersect the x-axis. This is because the roots of the equation are imaginary, and imaginary numbers do not exist on the real number line.

x    f(x)

-2    -1

-1      1

0      5

1       7

2       11

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

[tex]\sf\:m\angle AB = 56 \\[/tex]

[tex]\sf\:m\angle BC = 59 \\[/tex]

[tex]\sf\:m\angle CD = 63 \\[/tex]

[tex]\sf\:m\angle DE = 63 \\[/tex]

[tex]\sf\:m\angle EF = 31 \\[/tex]

To find the measure of the geometry-big circle, we add up these measures:

[tex]\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\[/tex]

Substituting the given values:

[tex]\sf\:56 + 59 + 63 + 63 + 31 \\[/tex]

Simplifying the expression:

[tex]\sf\:272 \\[/tex]

Therefore, the measure of the geometry-big circle is 272.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:

  a) False

  b) True

Step-by-step explanation:

a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.

The assertion that x=1 is necessarily a vertical asymptote is False.

__

b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.

The assertion that x=2 is necessarily a vertical asymptote is True.

_____

The graph shows a simple example of a function that has the given characteristics.

Answer:

A pair of linear functions

Step-by-step explanation:

A pair of linear function always has an inverse linear function and the linear function always has a domain and range of all real numbers.

-domain and range are always real numbers

-pair of linear functions always have an inverse which has the domain of all real numbers

A pair of linear functions and their inverses will always have a domain and range of all real numbers.

" Function is defined as the set of all input values have at least one output value."

According to the question,

a. A pair of linear functions : let the function be y = x.

Domain : (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Inverse of linear function is linear domain and range set of all real numbers.

Option A is the correct answer.

b. A cubic function and a cube root function : Let y = x³

Domain: (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Inverse function  , x = ∛y ,

Domain: (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Option B is not a correct answer.

c. a quadratic function and a square root function :

Domain of square root function: y = √x is [ 0, ∞)

Range of square root function: y = √x is [ 0, ∞)

Domain of quadratic function is (-∞ , ∞) set of all real numbers.

Range : all possible values of y.

Option C is not a correct answer.

D. A logarithmic function and an exponential function :

Domain : ( 0, ∞)

Range : set of all real numbers

Exponential function:

Domain : set of all real numbers

Range : ( 0, ∞)

Option D is not a correct answer.

Hence , Option A is the correct answer.

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The given line passes through (0,10) and (2,0), so its slope is

[tex]\frac{10-0}{0-2}=-5[/tex]

Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.

Substituting into point-slope form,

[tex]y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}[/tex]

Answer:

10 because if you multiply 5 times five you get 10

Answer:

75 kb

Step-by-step explanation:

Answer:75

Step-by-step explanation:

Divide 20 by 4 to get 5, the number of kb per second, and multiply by 15 to get 75

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The total volume of applesauce in a 6-pack is  (22 + 1/2) ounces.

We know that a single cotainer of apple sauce contains 3 + 3/4 ounces of applesauce.

Now, a 6-pack of applesauce has 6 containesr on it, then the total volume of applesauce will be 6 times the volume that we have above, so what we need to solve here is the following product:

Volume = 6*(3 + 3/4) oz = (6*3 + 6*3/4) oz

We can simplify that to:

(18 + 18/4) oz

And rewrite the fraction as: 18/4 + 16/4 + 2/4 = 4 + 1/2

Then the total volume is:

(18 + 4 + 1/2) ounces = (22 + 1/2) ounces.

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[tex] \green {\boxed{Answer}}[/tex]

[tex]f(x) = 9x - 10[/tex]

[tex]f(3) = 9 \: . \: 3 - 10[/tex]

[tex]f(3) = 27 - 10[/tex]

[tex]f( 3) = 17[/tex]

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Answer:

The formula used for the average growth rate over time method is to divide the present value by the past value, multiply to the 1/N power and then subtract one. "N" in this formula represents the number of years.

Step-by-step explanation:

Answer:

1,124 pennies.

Step-by-step explanation:

Let x represent the total amount of coins Christine's penny bank can hold.

We know that it is initially 1/5 full. So, the amount of coins in the bank is:

[tex]\frac{1}{5}x[/tex]

We know that she adds 562 pennies in it. So, we will add 562 to our expression:

[tex]\frac{1}{5}x+562[/tex]

And we know that after adding 562 pennies, the bank is now 7/10 full. Therefore:

[tex]\frac{1}{5}x+562=\frac{7}{10}x[/tex]

To find out how many coins the bank can hold, we will simply solve for x.

First, let's multiply both sides by 10 to remove the fractions:

[tex]10(\frac{1}{5}x+562)=10(\frac{7}{10}x)[/tex]

Distribute:

[tex]2x+5620=7x[/tex]

Subtract 2x from both sides:

[tex]5x=5620[/tex]

Divide both sides by 5:

[tex]x=1124[/tex]

Therefore, Christine's penny bank can hold a maximum of 1,124 pennies.

And we're done!

Answer:

it tells you which lessons to go to . did you answer the questions on those pages

Step-by-step explanation:

Answer: There will be 12 red skittles and 28 yellow ones.

Step-by-step explanation:

Basically what the problem means is that for every 3 red skittles, there will be 7 yellow ones. Since 7 and 3 add up to ten, all you have to do is multiply both numbers times 4 to keep the ratio.

Answer:

No, the answer is incorrect.

Step-by-step explanation:

First, multiply 4.6 and 2, you will get 9.6.

Next, you will subtract the exponents.

8 minus 3 is 5 so it is incorrect. The correct answer is 9.6 × 10^5 not 9.6 × 10^-5.

Answer:

draw a triangle with sides of 8 units for left side 8 for the right side and 4 for the bottom

Step-by-step explanation:

then draw a second one in the middle with 4 units for the left one 4 units for the right one and 2 units for the bottom one then say it is the size of the grid and the dilation is divided by 2 and smaller the the first figure.

Answer:

(6,-6)

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-9,\:-5\right),\:\\\left(x_2,\:y_2\right)=\left(21,\:-7\right)\\\\=\left(\frac{21-9}{2},\:\frac{-7-5}{2}\right)\\\\=(\frac{12}{2} , \frac{-12}{2})\\ \\=\left(6,\:-6\right)[/tex]

Answer:

(6, -1)

Step-by-step explanation:

P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2)

We have that px=−9, py=5, qx=21, qy=−7.

Thus, M=(−9+212,5−72)=(6,−1).

Answer:

gbvdvgszfbv fxcv

Step-by-step explanation:

fdsbg vsfdr vfsdrb

Answer:

Step-by-step explanation:

Function given

Maximum height is the vertex of the parabola, which is achieved at:

Substituting values of a and b

Value of d(2.5):

Time to hit the ground:

Solving we get positive root: