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Dmitrij [34]
3 years ago
15

A box has a volume of 144 in3 and a height of 4 1/2 in.What is the base area of the box?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0

Box volume can be computed by getting the base area multiplied by the total height.

in formula for volume we have,

V = Base Area x H. Given the Volume of 144 cu in and H = 4.5 in. we can solve for Base Area (BA)

Volume (144 cu in) = BA x Height (4.5 in)

BA = 144 cu in/4.5 in

Base Area = 32 square inches

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Which of the following coordinates are not correctly named based on the image?
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Answer:

Hi, there the answer is (4,2)

Step-by-step explanation:

The reason is that 4 is the y-axis and 2 is the x-axis and

the rule is x is first then y

The correct format for writing this it is supposed to be (2,4).

Therefore, your answer will (4,2)

3 0
3 years ago
Please help me with this problem. I am not sure if I am correct.
jek_recluse [69]

Answer:

only -7

Step-by-step explanation:

Just plug them in.

so for x=-7 \sqrt{-2(-7)-5}=(-7)+4\\\sqrt{9}=-3 \\ 3=-3So this one is extraneous

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3 0
3 years ago
1. which Theorem explains why the circumcenter is equidistant from the vertices of a triangle?
Ber [7]
1- The circumcenter refers to the central point or focal point of the circle which experiences the three vertices of the triangle. Review that all radii of a circle are congruent, i.e. equivalent to each other. So this is the reason the circumcenter is equidistant from the vertices of the triangle. The perpendicular bisectors are used to form the circumcenter, so the concurrency of perpendicular bisector theorem  also explains.
2- The picture is not given.
3-The answer is right triangle. 
In a right triangle, midpoint of hypotenuse is at equal distance from all the 3 vertices. So that is focal point of the circle going through all its 3 vertices. A right-angled triangle is a triangle which have one right angle. The connection between the sides and points of a right triangle is the reason for trigonometry. The side which lies as the opposite to the right angle is known as the hypotenuse. 
4- The coordinates of the circumcenter of ABC with the vertices A(0,0), B(3,0), and C(3,2) is (1.5,1) 
For the given triangle, vertex A lies on starting point; Vertex B lies on x-axis; and vertex C lies on hold parallel to y-axis. ==> AB along x-axis and BC opposite to AB. So the triangle ABC is a right triangle with its vertex B = 90 deg and AC has the hypotenuse. For a right triangle its circumcentre is the midpoint of hypotenuse. Consequently here the midpoint of AC = (1.5, 1), is the circumcenter of the triangle ABC.
4 0
3 years ago
Read 2 more answers
1) Find the measure of ∠θ. Round to one decimal place.
I am Lyosha [343]

Answer/Step-by-step explanation:

Reference angle = θ

Opposite side = 11.9

Adjacent side = 10

Applying the trigonometric ratio, TOA, we have:

Tan θ = opp/adj

Tan θ = 11.9/10

θ = tan^{-1}(11.9/10)

θ = 49.9584509° ≈ 50.0° (to one d.p)

Apply pythagorean theorem to find AB:

Thus:

AB = √(11.9² + 10²)

AB = √241.61

AB ≈ 15.5 (to 1 d.p)

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3 years ago
The U.S. Census Bureau conducts a study to determine the time needed to complete the shortform. The Bureau surveys 200 people. T
pychu [463]

Answer:

Step-by-step explanation:

Download docx
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