All categories

2 years ago

(a−2b)3 when a=−4 and b=−1/2

Mathematics

2 answers:

Setler [38]2 years ago

5 0

Answer:

-27

Step-by-step explanation:

Hi there!

$(a-2b)^3$

Plug in the given information:

$(-4-2(\displaystyle -\frac{1}{2} ))^3\\\\(-4-(\displaystyle -\frac{2}{2} ))^3\\\\(-4+1)^3\\\\(-3)^3\\\\-27$

I hope this helps!

Vikentia [17]2 years ago

3 0

Answer:

-9

Step-by-step explanation:

(-4-2*-1/2)3

(-4+1)3

-3*3

-9

You might be interested in

The expression sin 57° is equal to

ValentinkaMS [17]

Answer:

$cos(33^{\circ})$

Step-by-step explanation:

Given

$sin(57^{\circ})$

Required

Determine an equivalent expression

In trigonometry:

$sin(\theta)= cos(90^{\circ} - \theta)$

In $sin(57^{\circ})$

$\theta=57^{\circ}$

Substitute $57^{\circ}$ for $\theta$

in $sin(\theta)= cos(90^{\circ} - \theta)$

$sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})$

$sin(57^{\circ})= cos(33^{\circ})$

Hence, the equivalent expression is: $cos(33^{\circ})$

5 0

3 years ago

1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al

DiKsa [7]

Refer to the diagram shown below.

Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°
Similarly,
y = m∠CAD = m∠CFD

The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°

Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°

Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°

Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°