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3 years ago

Find the volume of this cube:

Mathematics

2 answers:

olga_2 [115]3 years ago

8 0

Answer:

$\frac{1 }{8}$

Scilla [17]3 years ago

5 0

Answer: .125

Step-by-step explanation:

Volume=a^3

.5^3=.125

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Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with

Luda [366]

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

$v= (r\cos\theta,r\sin\theta)$

, where r = magnitude and $\theta$ = angle .

As per given,

$u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)$

$v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)$

Consider

$u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)$

Hence, the correct option is <8.01, 5.60>.

7 0

3 years ago

What is the image of (3, 3) after a dilation by a scale factor of 5 centered at the origin?

Savatey [412]

778574 y p py gtoivu goy giov ou ouvyh yuovb ouyhv uo

6 0

3 years ago

John stands 150 meters from a water tower and sights the top at an angle of elevation of 36º. If John's eyes are 2 meters above

horsena [70]

Answer:

The height of tower $DB=111\ meters$ .

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that,

Distance between John and tower is $CE=150 \ meters$ .

Angle of elevation to the top of the tower is $\angle DEC=36$ °.

Height of John is $CB=2\ meters$ .

To Find: Height of the tower $DB$ .

So,

In triangle ΔDCE,

$Tan$ (∠ $DEC)= \frac{DC}{CE}$

$Tan (36)= \frac{DC}{150}$

$DC= tan(36)\times 150$

$DC=108.98\ meters$

Now,

To calculate the height of tower we have

$DB=DC+CB$

$DB=108.98+2$

$DB=110.98\ meters$ ≈ $111 \ meters$

Therefore,

The height of tower $DB=111\ meters$ .

6 0

3 years ago

Can someone please help me

zaharov [31]

Answer:

Step-by-step explanation:

The formula is y-b=m(x-a)

m is the slope

a is the x term

b is the y term

y-6=3(x-5)

3 0

3 years ago

Read 2 more answers

A group of 5 teachers bought 3 pens and 1 eraser each. Their total cost for all the materials was $12.89. If the eraser was $0.9

n200080 [17]

Answer:

$0.536

Step-by-step explanation:

Variable:

p for pen

Equation:

5(3p + 0.97) = 12.89

Solution:

5(3p + 0.97) = 12.89
15p + 4.85 = 12.89
15p = 12.89 - 4.85
15p = 8.04
p = 8.04 / 15
p = 0.536

7 0

3 years ago