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Wewaii [24]
3 years ago
10

Which mathematical statements are true?

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0
1. incorrect 
odd number multiplied by odd number is still an odd number, 3 being an odd number when multiplied by 3 is 9 which is an odd number

2.incorrect
this states that if 6 is less than 7, which is true, then 4 is greater than 7, which is  incorrect. The 2 statements are not related

3.correct
6 is divisible by 3, 6/3 = 2, this means that 6 can be divided by 3 without giving a remainder.  
10 is a multiple of 2. multiples of 2 in other words are numbers that are divisible by 2. Since 2*5 = 10, its a multiple of 2.

4.Incorrect.
Average of data is the sum of the data values divided by the number of values there are, so the average value cannot be greater than the largest data value.
Also second statement too is wrong, there are some instances when the data values all may be equal e.g.: 45,45,45, then the average of these data are also 45, hence the average cannot always be lesser than the largest data value. Average should be equal to or less than the largest data value.

5. Incorrect
the slope is the rate of change m(gradient) = change in y/change in x. however the y intercept is not the initial value. Intercept is merely the point at which the graph cuts the y axis, not its initial value.

 6.incorrect
sum of the interior angles of a triangle is 180°. since there are 3 equal angles, 180°/3 = 60°. therefore each angle is 60°.
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5(2-x) is greater than or equal to -5(x+8)
likoan [24]

Answer:

greater than

Step-by-step explanation:

5(2-x) = 10-5x

-5(x+8)= -5x-40

7 0
3 years ago
Which function grows at the fastest rate for increasing values of x?
romanna [79]

Answer:

f (x) = 2.3x grows the value of x at faster rate

8 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

4(x^2-23x+90)=0

x^2-23x+90=0

x^2-(18+5)x+90=0            ( Middle term splitting)

x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

(x-5)(x-18)=0

x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0
4 years ago
Write each complex number in rectangular form.
hram777 [196]
Hello,

A)
cos 135°=- cos 45°=-√2/2
sin 135°=sin45°=√2/2
2(cos 135°+i sin 135°)=-√2 + i*√2

B)
cos 120°=-cos 30°=-√3 /2
sin 120°=sin 30°=1/2

3(cos 120° + i sin 120)=-3/2*√3 +i*3/2

C)
cos (5π/4)=-cos (π/4)=-√2 /2
sin (5π/4)= -sin(π/4)=-√2 /2
5(cos (5π/4)+i sin (5π/4))=-5/2*√2 +i *5/2*√2

D)
cos(5π/3)=cos(π/3)=√3 /2
sin (5π/3)=-sin(π/3)=-1/2

4(cos(5pi/3)+i sin (5pi/3))
=2√3- 2*i


4 0
3 years ago
Please help! If the two triangles are similar, which equation represents the value of side x?
madam [21]

x=\frac{p q}{m} equation represents the value of side x.

Solution:

The two triangles are similar.

<em>If two triangles are similar, then the corresponding sides are in proportional.</em>

$\Rightarrow \frac{m}{p} =\frac{q}{x}

Do cross multiplication.

$\Rightarrow mx=pq

Divide by m on both sides.

$\Rightarrow \frac{mx}{m} =\frac{pq}{m}

$\Rightarrow x =\frac{pq}{m}

Therefore, x=\frac{p q}{m} equation represents the value of side x.

5 0
3 years ago
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