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3 years ago

Suppose each edge of a cube is 7.8 cm long. Which is the BEST estimate for the volume of the cube?

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

Multiply like this. And it gives you your answer.

7.8•7.8•7.8

Leno4ka [110]3 years ago

6 0

Estimating would involve just rounding up to 8 for the length.
then V=blh, 8×8×8= 512

(But if you work the problem as originally stated though, 7.8×7.8×7.8= 474.552, and that rounded up is 475).

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PLEASE ANSWER FAST IM FAILING MATH!!!

posledela

Answer:

Step-by-step explanation:

From the figure attached,

Point B has been dilated to form point B'.

B(3, 1) → B'(6, 2)

→ B'[(2 × 3), (2 × 1)]

Since rule for the dilation of a point (x, y) by a factor of k is,

B(x, y) → B'(kx, ky)

By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.

Therefore, other vertices of the quadrilateral will be,

A(-2, 3) → A'(-4, 6)

C(1, -1) → C'(2, -2)

D(-3, -2) → D'(-6, -4)

4 0

3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

What is the answer to the equation -2+-5=

lyudmila [28]

The Answer is −7 .Thanks !!

4 0

3 years ago

The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the

alekssr [168]

Answer:

30cm x 72 cm

Step-by-step explanation:

The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width x, and the length y. We know y is x times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.

x + y = x + (2x + 12)

102 = x + (2x + 12)

102 = 3x + 12

102 - 12 = 3x + 12 - 12

90 = 3x

90/3 = 3x/3

30 = x

The width is 30cm.

8 0

3 years ago

Albuterol 1.2mg PO.T.I.D. Is ordered for a child weighing 27lb.The recommended dosage is 0.3mg/kg.Available:2mg/5mL.How much of

juin [17]

Answer:

The solution required per dosage is 3 mL and 9.175 mL of solution is required for the recommended dosage in a day.

Step-by-step explanation:

As the weight of the child is given as 27 lbs. Converting it to kgs as

1 kg =2.2042 lb

So 27 lbs=27/2.2042 kg

The weight of the kid in kg is 12.247 kg.

As the recommended dosage is 0.3 mg/kg/hour so for the weight of the kid the recommended dosage for the day is given as

Recommended dosage=0.3*12.247 =3.67 mg per day

As the concentration is given as 2 mg/5mL

So for each dose the solution is found as

Solution per dose is as Dose Value/Concentration=1.2/(2/5)=3 mL

So the solution required per dosage is 3 mL

Now for the solution required per day is given as

Solution per day is as =Dose Value/Concentration=3.67/(2/5)=9.175 mL

So 9.175 mL of solution is required for the recommended dosage in a day.

6 0

3 years ago