Answer:
The height of the statue is 152 feet
Step-by-step explanation:
<u><em>The complete question is :</em></u>
The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
Let
h ----> the height of the statue in feet
p ---> the height of the pedestal in feet
we know that
----> equation A
---> equation B
so
substitute equation A in equation B and solve for h

subtract 153 both sides


Answer:
- ∠UTC = 55°
- ∠UCD = 70°
- ∠BCT = 55°
Step-by-step explanation:
In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.
__
<h3>UTC</h3>
∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair
∠UTC = 180° -125° = 55°
__
<h3>UCD</h3>
∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair
∠UCD = 180° -110° = 70°
__
<h3>BCT</h3>
∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles
The number written in standard form is 24100
Step-by-step explanation:
An object is said to be written in scientific notation when it is written in the following form:

where
m is the coefficient
n is the exponent of the power of ten
The number can be rewritten in standard form by writing the coefficient and then moving to the right (or to the left) the decimal point by n positions if n is positive (or negative).
In this problem, the number is

So we have
m = 2.41
n = 4
Therefore, we have to write 2.41 and then move the decimal point 4 positions to the right: so we get

Learn more about scientific notation:
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#LearnwithBrainly
Answer: Below
Step-by-step explanation:
Volume is based off of the formula (base × height/depth), with base being (width × length).
We know the three dimensions of the taller box, so:
7.75 × 2 × 12 = 186
The smaller box is 20% shorter. 12 × 0.8 gives us the 0% height, which is 9.6.
7.75 × 2 × 9.6 = 148.8
Since the problem is asking for the difference of the two volumes we do:
186 - 146.8 = 39.2
Our answer is 39.2
Answer:
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