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2 years ago

State whether the following statements are true or false, and explain your reasoning.

Mathematics

2 answers:

aivan3 [116]2 years ago

8 0

Answer:

Step-by-step explanation:

shbhebvhbhv

Masja [62]2 years ago

6 0

Answer:

Step-by-step explanation:

a) A square is a rectangle. True

Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.

A square hold all these properties. A square is a rectangle.

b) A polygon with 21 sides has 432 possible diagonals. False

Reason: Number of diagonals of a polygon = $\frac{n(n-3)}{2}$

n --> number of sides of a polygon.

= $\frac{21*18}{2}$ = 189 diagonals

c) All three angles in an Isosceles triangle are equal. False

Reason: In an isosceles triangle, two angles are equal.

If three angles are equal, then that is an equilateral triangle.

d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.

Reason: The sum of measures of the exterior angles of any polygon is 360

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The time t (in minutes) for a small plane to climb to an altitude of h feet is given by t = 50 log10 (18000/(18000-h)) where 180

Arlecino [84]

Domain = x<18000(You cant og a negative number)
Am I actually supposed to graph it? enter the equation on desmos.com
It takes longer to make the same altitudinal gain
t=50log(18000/(18000-4000))=50log(18000/14000)=5.457

5 0

2 years ago

2/3 -4x + 7/2 = -9x + 5/6

kirza4 [7]

Answer:

Step-by-steplanation:

Add: 1

+ 2

= 1 · 5

2 · 5

+ 2 · 2

5 · 2

= 5

+ 4

= 5 + 4

= 9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one half plus two fifths = nine tenths.

Conversion a mixed number 6 2

to a improper fraction: 6 2/7 = 6 2

= 6 · 7 + 2

= 42 + 2

= 44

To find new numerator:

a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7

= 42

b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44

c) Write previous answer (new numerator 44) over the denominator 7.

Six and two sevenths is forty-four sevenths

Add: the result of step No. 1 + 44

= 9

+ 44

= 9 · 7

10 · 7

+ 44 · 10

7 · 10

= 63

+ 440

= 63 + 440

= 503

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - nine tenths plus forty-four sevenths = five hundred three seventieths.

3 0

3 years ago

A sporting goods store offers 40% discount on all golf clubs. Rocco spent 20% of the money in his savings account on a golf putt

MatroZZZ [7]

Answer:

Rocco doesn't have enough money to buy the golf irons

Step-by-step explanation:

step 1

Find the rest of the money left in the savings account

using proportion

$\frac{\$48}{20\%}=\frac{x}{80\%}\\ \\x=48*80/20\\ \\x=\$192$