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tatyana61 [14]
3 years ago
15

The surface area of a cube is 96 in2. What is the volume of the cube?​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0

Answer:

64

Step-by-step explanation:

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Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
Draw as many different triangles as possible that have two sides of length 4 cm and a 45∘ angle. How many can you draw?
zmey [24]
The answer is 3 sorry if it’s wrong
7 0
3 years ago
3/8 x 2/6 x 4/8 x 5/12
Evgesh-ka [11]

Answer:

\frac{5}{192}

Step-by-step explanation:

\frac{3}{8} * \frac{2}{6} * \frac{4}{8} * \frac{5}{12}

Multiply all numerators

3 * 2 * 4 * 5 = 6 * 20 = 120

Multiply all denominators

8 * 6 * 8 * 12 = 48 * 96 = 4,608

\frac{120}{4608}

Simplify

\frac{5}{192}

Hope this helps :)

3 0
3 years ago
A booth at an amusement park sells sandwiches and a variety of sides. Each
rodikova [14]

Answer: 3

Explanation: 7.50 - 5.25= 2.25 ÷ .75= 3

7 0
3 years ago
What is 20 percent of 90?​
ivolga24 [154]

Answer:

18

Step-by-step explanation:

5 0
3 years ago
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