I am currently a Geometry teacher, but have spent many years teaching Algebra 1 and Pre-Algebra. I also have a BA in Psychology, with a Psychology Teaching Endorsement along with an ESL certificate.
Gina is standing near a building and notices that the angle of elevation to the top of the building is $68^{\circ} .$ She then walks 72 feet further away from the building and notices that the angle of elevation to the top of the building is now only $51^{\circ} .$ Find the height of the building.a. $25 \mathrm{ft}$b. $56 \mathrm{ft}$c. $149 \mathrm{ft}$d. $180 \mathrm{ft}$
Suppose that $g$ is in a group $G$. Prove that, for all integers $m$ and $n$, $g^{m} g^{n}=g^{m+n}$
One week after spending their vacation rafting down theColorado River, all five members of the Chen family developedcold sores on their lips. Their doctor told them that the lesionswere caused by a herpesvirus. Mr. and Mrs. Chen were stunned:Isn’t herpes a sexually transmitted disease? How could it haveaffected their young children?
Encuentre los valores de las seis funciones trigonométricas para el ángulo $\theta$.GRAPH CANT COPY
The graph shows the amount of water V in gallons contained in a large tank t hours after a set time.
a. State the domain and range of function f.
b. Give the value of f(6) and write a sentence explaining what this means in the context of the story problem.
c. Find the average rate of change of the function on the interval [5, 7].
d. Write a piecewise function for the graph.
Describe the transformation used for:Choose the two correct transformations for:CDEF to C'D'E'F'.RSTU to R'S'T'U'.Rotation 180° clockwiseReflection across the y-axisReflection across the x-axisDescribe the transformation used for:HIG to H'I'G'.RST to R'S'T'.Rotation 90° clockwiseReflection across the y-axisReflection across the x-axisRotation 270° counter clockwiseReflection across the y-axisReflection across the x-axisRotation 180° clockwise
a) Triangles ABD and CBD appear to be congruent;b) Angle-Side-Angle (ASA): Angle ADB and Angle CDB; Side BC is common; Angle ABD and CBDAfter proving the triangle congruence, which characteristics of the quadrilateral were proved? Find all the most correct answers:- Adjacent sides are congruent- Two pairs of congruent adjacent sides- Diagonals bisect each other- Opposite angles are congruent- The diagonals bisect the corner angles- At least one set of opposite angles are congruent- At least one pair of opposite sides are congruent- The diagonals are perpendicular
In the diagram to the right, D, E, and F are the midpoints of sides BC, AC, and AB of Δ ABC respectively. Explain why the six smaller triangles in the diagram all must have the same area.
The radius of a spherical glass ornament is 6 centimeters. Twenty-seven ornaments are packed in a cube shaped box with a side length of 36 centimeters. What is the volume of the empty space in the box, rounded to the near whole number?
