For a project in her Geometry class, Naomi uses a mirror on the ground to measure
the height of her school building. She walks a distance of 12.25 meters from the
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the school clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.

Answer:

Types of algebraic expressions may further be distinguished in the following five categories. They are: monomial, polynomial, binomial, trinomial, multinomial. 1. Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Step-by-step explanation:

1+1=2

Answer:

12 -9

Step-by-step explanation:

Look to the ends of each arrow and you will see each number the arrow is on. Hope this helps.

Answer:

[tex]y=-x+3[/tex]

Step-by-step explanation:

Let's start by defining what slope-intercept form is. Slope-intercept form is:

y=mx+b

Where...

"y" = y-coordinate of any point on the line

"m" = slope of the line

"x" = x-coordinate of any point on the line

"b" = y-intercept (where the line intercepts the y-axis)

Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).

Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3.

Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_1, y_2:$ Values for the two y-coordinates\\x_1, x_2:$ Values for the two x-coordinates[/tex]

Substitute the given points into the equation:

[tex]m=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

The slope is -1.

Finally, we substitute our slope and y-intercept back into the equation and get:

[tex]y=-x+3[/tex]

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

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The hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

The pOH of a solution is the negative logarithm of the hydroxide-ion concentration.

or pOH = -log[OH⁻]

The hydroxide-ion concentration OH⁻ of HNO₃ solution = 9.5 * 10⁻⁹ million.

So, the pOH of the HNO₃ solution =-log[9.5* 10⁻⁹] = 8.02

Therefore, the hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

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Answer:

8.02

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

2) 7, 25, 7

3) 8.8, 24, 15.8

4) 5, 9, 3

Answer:

A (first one)

Step-by-step explanation:

From T to T' you add 2 to the x and subtract 3 from the y

Then you do that to the x and y on O and Y

So for O, -4+2 is -2 and 1-3=-2

then you just do that for Y and you get (0,0) when applied

Answer:

the interest would be $5,400 after 15 years

Using proportions, it is found that the cost of each banana is of $0.59, and Juan is the student who wrote and solved the equation correctly.

A proportion is a fraction of a total amount.

In this problem, the cost of 4 bananas is $2.36, hence the cost of each banana is given by:

C = $2.36/4 = $0.59.

Which means that Juan is correct.

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Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

Answer:

Step-by-step explanation:

Right off the bat, you will know the lowest number is 52 and the highest number is 65, therefore there will act as the guides for your box and whisker plot. This eliminates answers B and C because they are not accurate to that.

Next, we find the median of the set of numbers by crossing out (writing it down, or imagining doing so) the numbers on either end consecutively to until you reach the center number, ours being 58. This eliminates answer A.

This leads us to belive answer D is the correct box and whisker plot.

Answer:

4,650.

Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).

Answer:

t < 1.5

Step-by-step explanation:

Mon-Thu: 5.5 hours

each of the remaining 3 days: t hours each day

total time: 3t + 5.5

The total time must be less than 10 hours.

3t + 5.5 < 10

3t < 4.5

t < 1.5

Answer:

8 more pieces

Step-by-step explanation:

First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.

Hopefully this helps- let me know if you have any questions!

The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.

In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

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#SPJ1

Answer:

choosing max coverage

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

__

The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

  1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft

24 feet of baseboard are needed.

__

Additional comment

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

Answer:

2.4 hour is  10%

Step-by-step explanation:

Because 10% is equal to 0.1 24÷ 10% =2.4

Answer: No

Step-by-step explanation:

(3,1) is not a solution because when plugging in x=3 and y=1 to the second equation, you get: 12(3) + 1 = 13 → 36 + 1 = 13 → 37 = 13, which is false.

Answer:

x = -2

Step-by-step explanation:

2x-6 = 9x+8

-7x = 14

x = -2

PLEASE RATE!! I hope this helps!!

B. The corresponding sides of the triangles are congruent.

I c. The corresponding angles of the triangles are congruent.

D. The triangles have the same size and shape.

Step-by-step explanation:

.

This refers to the tax paid to a governing body for the sales of certain goods and services.

In  Williamson County, the sales tax rate is 9.75% = 9.75% × $1,000 = $1,097.5

In Davidson County , the sales tax rate is 9.25% =  9.25%  × $1,000 = $1,092.5

The amount saved will therefore be $1,097.5 - $1,092.5 = $5.

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Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

y = |x|

The translations are as follows:

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Answer:

1. 19 Degrees

2. 63 Degrees

3. 37 Degrees

4. 119 Degrees

5. 69 Degrees

6. 71 Degrees

7.1 65 Degrees

7.2 48 Degrees

7.3 42 Degrees

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees. (180-79-82=19 for the first one)

The little box in a triangle represent 90 degrees.

7.2 Vertical Angles are equal to each other

Answer:

3 Rd one

Step-by-step explanation:

donee....!!✓give me the branliest

Hope this helps you

Good luck

Answer:

2πr × h = 2πrh

Step-by-step explanation:

that is the formula for a curved surface of a cylinder 2πr × h = 2πrh.

The intersect method involves spliting an equation to a system of equations

The solutions to the equation are (-1, 3) and (3,-5)

The equation is given as:

-2x + 1 = -x^2 + 4

Using the intersect method, we have the following equations

y = -2x + 1

y = -x^2 + 4

Next, we plot the graph of both equations

From the graph (see attachment), we have the following points of intersection

(x,y) = (-1, 3) and (3,-5)

Hence, the solutions to the equation are (-1, 3) and (3,-5)

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Assuming the function is [tex]f(x,y)=3x^2-4y[/tex]

     --> then f(3,2) is: [tex]f(3,2) = 3(3^2)-4(2)=3*9-8=27-8=19[/tex]

Hope that helps!

Answer:

100.53m² area of carpet is left after putting the table in place.

Answer:

  a) CD = 7.25

  b) BC = 5.25

Step-by-step explanation:

The parallel lines mean the triangles are similar. ΔADC ~ ΔAEB. Corresponding sides are proportional, so ...

  AD/AE = DC/EB

  10.5/4.2 = CD/2.9

  CD = 2.9(5/2) = 7.25

__

Corresponding sides are proportional, so ...

  BC/AC = ED/AD

  BC = AC(ED/AD) = 8.75(10.5 -4.2)/10.5 = 8.75(3/5) = 5.25