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2 years ago

If 12 blueberries weigh 7.2 grams, find the weight of 32 blueberries.

Mathematics

1 answer:

ycow [4]2 years ago

3 0

Answer:

The weight of 32 blueberries is 19.2

Step-by-step explanation:

We need to find what one blueberry weigh:

7.2 divided by 12 = 0.6

0.6 x 32 = 19.2

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Antonio ran 129 laps at the park. Alan ran 20% more than that. how many laps did Alan run

Colt1911 [192]

Answer:

154.8

Step-by-step explanation:

20% is equal to 20/100= 0.20. So, 0.20 multiplied by 129 will give you 20% of 129 which is 25.8. If Alan ran 20% more then you add 25.8 to 129 which gives you an answer of 154.8.

Equation: 20/100= 0.2

0.2* 129= 25.8

25.8+129= 154.8

Alan ran 154.8 laps.

3 0

2 years ago

CAN SOMEONE HELP WITH THIS ASAP!!!

jek_recluse [69]

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90 [combine like terms]

10x+10=90 [subtract both sides by 10]

10x=80 [divide both sides by 10]

x=8

Now, we know that x=8.

6 0

3 years ago

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

2 years ago

What is the approximate radius of a sphere with a volume of 1436m^3

Vedmedyk [2.9K]

Answer: r≈7m

Step-by-step explanation:

5 0

2 years ago

Please help <br> If you get this right I will get you brainless

kow [346]

I need to find the x pls help and show work

6 0

2 years ago

If 12 blueberries weigh 7.2 grams, find the weight of 32 blueberries.​

If 12 blueberries weigh 7.2 grams, find the weight of 32 blueberries.