MATHEMATICS HIGH SCHOOL

1. Classify the figure in as many ways as possible.rectangle; square; quadrilateral;
parallelogram; rhombus
rectangle; square; parallelogram
rhombus; quadrilateral; square
square; rectangle; quadrilateral
1. Classify the figure in as many ways as possible. - 1

Answers

Answer 1
Answer:

Answer:

(A)

Step-by-step explanation:

From the figure, we can see that all the sides of the given figure are congruent, all the four angles are right angled.

Thus, following the properties of quadrilateral,it has four sides (edges) , four vertices (corners)  and the interior angles that add to 360 degrees.

Thus, the given figure is a quadrilateral.

Following the properties of parallelogram, A parallelogram has opposite sides equal and also the opposite angles equal. In the given figure, opposite sides are equal and also the opposite angles are equal.

Thus, the given figure is parallelogram.

Following the properties of rectangle, A rectangle has four sides, all the angles are right angled and has opposite sides equal,the given figure satisfies these properties.

Thus, the given figure is rectangle.

Following the properties of square, A square has all the sides equal and all the angles are of 90°, the given figure satisfies these properties.

Thu, the given figure is square.

Following the properties of rhombus, A rhombus has four sides, all the angles are right angled and has opposite sides equal, the given figure satisfies these properties.

Thus, the given figure is rhombus.
Answer 2
Answer:

Answer:

1. classify the figure in as many ways as possible

rectangle, square, quadrilateral, parallel, rhombus.

2. which statement is true

All rectangles are quadrilaterals.

3. Lucinda wants to build a square sandbox

arrange four equal-length sides so the diagonals are also equal lengths.

4. j and m are base angles of isosceles trapezoid jklm.

151 degrees

5. determine whether the statement below is always, sometimes, or never true.

Never true.

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Help Please! ASAP Thanks!

Which is equivalent to 216 power of 1/3 ?
3
6
36
72

Answers

Answer:

6

Step-by-step explanation:

GIVEN :


(216)^{(1)/(3) }


Solution :

let


(216)^{(1)/(3) }=x


216 = x^(3)


6^(3) = x^(3)


⇒ x = 6


⇒(216)^{(1)/(3) }= 6

Answer:

Option (b) is correct.

(216)^{(1)/(3)}=6

Step-by-step explanation:

Given:  216 power of 1/3

We have to find an equivalent number to  216 power of 1/3

Consider  216 power of 1/3

Writing mathematically as, (216)^{(1)/(3) }

Also, 216 can be written as product of 6 three times that is 6× 6 × 6

Thus, (216)^{(1)/(3)}=(6* 6* 6)^{(1)/(3)}

Simplify, we get,

(6* 6* 6)^{(1)/(3)}=(6^3)^{(1)/(3)}

Apply property of exponents, we have,

(a^n)^m=a^(nm)

(6^3)^{(1)/(3)}=6^{(3)/(3)}=6

Thus, (216)^{(1)/(3)}=6

Option (b) is correct.

Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected: Favorite Sport Swimming Running Volleyball Row totals Grade 8 0. 14 0. 18 0. 22 0. 54 Grade 9 0. 17 0. 24 0. 05 0. 46 Column totals 0. 31 0. 42 0. 27 1 Based on the data, which statement is most likely correct? In Grade 8, 14 students liked swimming. In Grade 9, 31% of students liked swimming. In Grade 8, 22% of students liked volleyball. In Grade 9, 5 students liked volleyball.

Answers

Answer:

In Grade 8, 22% of students liked volleyball.

Step-by-step explanation:

Given:

The table representing the relative frequencies of different sports in different grades among the students.

                          Swimming      Running    Volleyball                   Row totals

Grade 8                        0.14           0.18         0.22                          0.54

Grade 9                        0.17           0.24        0.05                          0.46

Column totals              0.31           0.42        0.27                             1

Relative frequency gives the ratio of the number of quantities of a particular kind and the total number of quantities.

From the above table, we can conclude the following points:

Grade 8:

14% liked swimming, 18% liked running and 22% liked volleyball. So, a total of 54% students liked playing sports.

Grade 9:

17% liked swimming, 24% liked running and 5% liked volleyball. So, a total of 46% students liked playing sports.

Combining students of grade 8 and 9:

31% liked swimming, 42% liked running and 27% liked volleyball.

From all the options available, we observe that, third option is only correct.

In Grade 8, 22% of students liked volleyball.

Find the volume of of each cylinder
h=1.5cm
r=11cm​

Answers

Answer:

570.2

Step-by-step explanation:

pi(11^2)1.5=570.2

Answer:

V≈570.2cm³

Step-by-step explanation:

16x-10y=10
8x-6y=6
solve by elimination

Answers

Answer:

(0,-1)

Step-by-step explanation:

I used substitution but you still get the same answer so it doesn't really matter. Unless it's asking you to show you're work.

Simplify a × 3a3b.

A. 6a4b2
B. 2a4b7
C. 4a2b2
D. 3a4b

Answers

Answer:

D. 3a^4b

Step-by-step explanation:

We have: a.3a^3b in order to simplify this expression, we have to apply the rule of the exponents.

This rule says that:

a^b.a^c=a^(^b^+^c^)

If you have the same base, the exponents can be added.

We can rewrite the expression a.3a^3b as 3(a.a^3)b

Then we have:

a.a^3=a^1.a^3=a^(^1^+^3^)=a^4

Finally:

a.3a^3b=3(a^4)b=3a^4b

The correct option is D.
Use:a^n\cdot a^m=a^(n+m)\n\na\cdot3a^3b=3a^(1+3)b=3a^4b\n\nAnswer:\boxed{D.\ 3a^4b}

[-3 x 8] + (7 - 4) exponent of 2

Answers

[-3 x 8] + (7 - 4)^2
= [-24] + (3)^2
= -24 + 9
= -15
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