Which number has an absolute value greater than 5? A: -5 B: -6 C: 0 D: 5

Leona spent 5/8 of 2/3 of her allowance on magazines. What fractions of her total allowance did she spend on magazines? What fra

Olegator [25]

Answer:

7x/12

Step-by-step explanation:

Let her entire allowance be represented by 'x'

She spent 5/8 of 2/3 of her allowance on magazines.

= 5/8×2/3

= 10/24

= 5/12

That 5/12 of 'x'

5/12x

Since her total allowance is x

She will be left with = x - 5/12x

x/1 - 5/12x

12x-5x/12x

= 7x/12

Hence she will be left with 7x/12

4 0

3 years ago

The base of a ladder is placed 6 ft from the bottom of the house. The ladder touches the

sammy [17]

Answer:

10 ft

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

As θ increases from -pi/2 to 0 radians, the value of cos θ will.

GrogVix [38]

Answer:

4) Increase from 0 to 1

Step-by-step explanation:

We have to analyze the value of cos(Ф) from -π/2 to 0. This can be done if we simplify evaluate the value of cos(Ф) at these two extreme.

$cos(-\frac{\pi}{2}) = cos(\frac{\pi}{2} )=cos(90)=0\\\\ cos(0)=1$

This shows that value of cos(Ф) is 0 at -π/2 or -90 degrees and increased to 0 at 0 degrees.

This answer can be validated if you visualize the graph of cos function. Cos function has a peak at 0 degrees, i.e. a value equal to 1. On right and left side of 0 degrees, the curve starts falling down and eventually touches the horizontal axis at 90 degrees and -90 degrees. This is shown in the graph attached below:

8 0

3 years ago

Calculate the length of AB if A is the point (2,3) and B is the point (-2,0)

d1i1m1o1n [39]

Answer:

Formular for coordinate length:

$length = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y_{1} - y_{2})}^{2} }$

In considerance of coordinates given of A and B

$x _{1} \: \: is \: \: 2 \\ x_{2} \: \: is \: \: - 2 \\ y_{1} \: \: is \: \: 3 \\ y_{2} \: \: is \: \: 0$

therefore substitute:

$length = \sqrt{ { \{2 - ( - 2) \}}^{2} + {(3 - 0)}^{2} } \\ \\ = \sqrt{ {(2 + 2)}^{2} + {3}^{2} } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ \\ { \boxed{ \boxed{length \: \: is \: \: 5 \: units}}}$

5 0

3 years ago

Read 2 more answers

6x^2-5x-4=0 solving quadratics by factoring (answer with {} around it)

stepan [7]

Step-by-step explanation:

6x²–5x–4 = 0

6×4 = 24..

write many ways 24 can be written..

24 = (6×4), (1×24), (12×2), (8×3)

(8×3) --> –8+3 = –5

6x²+3x–8x–4 = 0

6x(x+½)–8(x+½) = 0

(6x–8)(x+½) = 0

6x–8 = 0, x+½ = 0

6x = 8, x = –½

x = 4/3, –½

3 0

3 years ago