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MatroZZZ [7]
3 years ago
14

The radius of a sphere with a surface area of 64

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer:

2.257

Step-by-step explanation:

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Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i
Marat540 [252]

Answer:

p = 19.18

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

a^2 = b^2 + c^2 - 2bcCosA

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

g^2 = s^2 + p^2 - 2spCosG

Where

s = 10

g = 18

The equation becomes

18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68

324 = 100 + p^2 - 20 * p * 0.375

324 = 100 + p^2 - 7.5p

Collect Like Terms

p^2 - 7.5p + 100 - 324 = 0

p^2 - 7.5p - 224 = 0

Using quadratic formula:

p = \frac{-b\±\sqrt{b^2-4ac}}{2a}

Where

a = 1

b = -7.5

c = -224

p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}

p = \frac{7.5\±\sqrt{56.25+896}}{2}

p = \frac{7.5\±\sqrt{952.25}}{2}

p = \frac{7.5\± 30.86}{2}

p = \frac{7.5 + 30.86}{2} or p = \frac{7.5 - 30.86}{2}

p = \frac{38.36}{2} or p = \frac{-23.36}{2}

p = 19.18 or p = -11.68

But length can not be negative.

So:

p = 19.18

6 0
3 years ago
A go-kart can travel as far as 45 miles in 3 hours. What is its unit rate?
viktelen [127]

Answer:

The unit rate is 15 mph.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A caterpillar is 2.83 centimeters long how long is it to the nearest whole number
Kruka [31]
To round 2.83 centimeters to the nearest whole number, use the following:
"five or above, give it a shove. four or below, keep it low."
So, since the number is 2.83, keep the 3 low (make it a zero)
Now the number is 2.8
Since 8 is over 5, you round up.
2.83 has become the whole number 3
7 0
3 years ago
Read 2 more answers
Can someone help me with this plz??
mamaluj [8]

Answer:

f(x) = -4x-1

f(7) = -(4)(7)-1

f(7) = -29

g(x) = 4x^2 - x

g(-4) = 4(-4)^2 - (-4)

g(-4) = 4(16) + 4

g(-4) = 64 + 4

g(-4) = 68

Let me know if this helps!

7 0
3 years ago
Joe drew this bar model to find the unknown number of balls. find the unknown number? 106 ? = 250
scoundrel [369]

250-106= 144 There are 144 unknown balls.

3 0
3 years ago
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