6 boys, ratio is boy:girl 2:3
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
-25+12 is less
Step-by-step explanation
1st picture
-25+12=-13
40+-63=-23
2nd picture
Negative
Positive
Negative Negative
To find the answers just simply do the number in a calculator for example -6+64 put that in a calculator and it will help you. figure our number 5
<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>
multiply
1st eq by 2
6d+6p=18.00
<span>multiply
2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>
3p=9-3.75
<span>3p=5.25
p=1.75
price of a pretzel=$1.75</span>
<span> price of a drink = $1.25</span>
The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
<h3>What is the similarity law for triangles?</h3>
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given two triangles:
Triangle RST and Triangle VUT
AS we can see Line segment RS and UV are parallel.
Which is crossed by a transversal RV.
The angle SRV = Angle RVU
Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
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