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Elodia [21]
3 years ago
11

Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm.

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
You use the volume formula for a sphere, or V=4/3*pi*r³;
so the first balloon (3cm) has a volume of 113.1.
The second balloon (6cm) has a volume of 904.78.
Therefore, you do 904.78-113.1, getting 791.68 cm³
shtirl [24]3 years ago
6 0

The answer is: 791.28

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PLEASE HELP IMAGE IS BELOW!!
guajiro [1.7K]

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

6 0
2 years ago
What is the interval notation for the compound inequality? x is less than or equal to -4 or x is greater than or equal to 5?
Tems11 [23]

x is less than or equal to -4 or x is greater than or equal to 5

x <= -4 or x>= 5

There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality

for x<=-4 , x starts at -4  and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets

Interval notation is (-∞ , -4]

for x>= 5 , x starts at 5  and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5

Interval notation is [5 , ∞)

Now combine both notation by a 'U' symbol Union

(-∞ , -4] U [5 , ∞)

5 0
3 years ago
Ion understand this-
leva [86]

Answer:

2nd one

Step-by-step explanation:

(90 x 5) - 3 = 447

6 0
2 years ago
Solve each equation algebraically. 2/3x( - 4)=20
baherus [9]

Answer:

Step-by-step explanation:

2/3x(-4)=20

2/3x*4=20

8/3x=20

8/3x/8/3= 20/8/3

0.83 but 3 is repeting

8 0
2 years ago
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
monitta

<u>Answer:</u> The ratio that represents the cosine of ∠T is \frac{56}{65}

<u>Step-by-step explanation:</u>

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

\cos \theta=\frac{\text{base}}{\text{hypotenuse}}

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

\cos \theta=\frac{UV}{TU}=\frac{56}{65}

Hence, the ratio that represents the cosine of ∠T is \frac{56}{65}

6 0
2 years ago
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