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sergejj [24]
3 years ago
9

The diagram shows a square-based cuboid.

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = 10^2 square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
The average american eats about 30 pounds of cheese per year. This is 3/5 the amount eaten my the average French person. How man
iragen [17]
What's 30-3/5???????
7 0
3 years ago
15 points to answer this question
Mamont248 [21]

it is none since there is no relation

4 0
3 years ago
Read 2 more answers
Select the correct answer.
Usimov [2.4K]

Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.

<h3>How to Apply the Law of Sines?</h3>

Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.

Given the following:

  • x (YZ) = ?
  • X = 32°
  • z = 24
  • Z = 180 - 32 - 94 = 54°

Plug in the values

x/sin 32 = 24/54

x = (sin 32 × 24)/sin 54

x ≈ 15.7 units.

Learn more about the law of sines on:

brainly.com/question/27174058

#SPJ1

4 0
1 year ago
For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.
Shtirlitz [24]

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

5 0
3 years ago
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