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3 years ago

Find the modal class interval.

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

Answer: 24≤ a < 26

Step-by-step explanation:

The modal class interval is the class interval with the highest frequency, the highest frequency from the table is 8 , which belongs to the class interval 24≤ a < 26

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For questions 8-10, simplify the expression. 8.

olga nikolaevna [1]

8. 5 root 3 (b)
9. a, 14 root 6
Just add the numbers in front! Find the prime factorization and take out multiples inside a square root to simplify it

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3 years ago

Given: ABCD is a trapezoid, AC ⊥ CD AB = CD, AC=the square root of 75 , AB = 5 Find: AABCD

Ugo [173]

In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = $\sqrt{75+25}$ = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that $\frac{1}{2} * BF = \frac{1}{2} * 5 * \sqrt{75}$ and BF= $0.5\sqrt{75}$ . Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is $A= BF * \frac{AB+CD}{2} = 0.5 \sqrt{75} * \frac{5+10}{2} = 18.75 \sqrt{3} cm^{2}$

3 0

3 years ago

Please help!!!! I don’t know which one!

Daniel [21]

The correct answer is the first choice. You can determine which angles are congruent by looking at the corresponding angles (angles that are in the same position) on the similar trapezoids). The angles would be congruent even though the shapes are not the same size.

8 0

3 years ago

Work out m and c for the line: 2 x + 3 y + 4 = 0

4vir4ik [10]

Answer:

18marrsm is waiting for your help.

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Answer

jimrgrant1

Genius

30.5K answers

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Answer:

m = - , c = -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )

3y = - 2x - 4 ( divide all terms by 3 )

y = - x - ← in slope- intercept form

with slope m = - and y- intercept c = -

8 0

2 years ago

Find the substitution 2x+3y=-5 and y=-x+5

tatuchka [14]

Answer: x = 20, y = -15

Step-by-step explanation:

Since we already know that $y=-x+5$ , we can just substitute in that value of y into the other equation:

$2x+3y=-5\\2x+3(-x+5)=-5\\2x-3x+15=-5\\-x=-5-15\\-x=-20\\x=20$

with the value of x, we can find the value of y:

$y=-x+5=-20+5=-15$

3 0

2 years ago