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2 years ago

Please help me if you can!!!!!

Mathematics

1 answer:

klio [65]2 years ago

3 0

Filling in the given value, you have

... (sin θ)² + (3/4)² = 1

... (sin θ)² = 1 - 9/16 = 7/16 . . . . . . . subtract the constant on the left

... sin θ = √(7/16) . . . . . . . . . . . . . . take the square root

... sin θ = (√7)/4

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Use the cubic model y = 5a3 - 2a2 + a - 45 to find the value of y when x = 4.

Naddik [55]

Assuming 5a3 equals 5a^3, and the same for everything else, you would plug in 4 for a, so 5(4)^3 - 2(4)^2 + 4 - 45, which equals 247.

3 0

2 years ago

Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball

dem82 [27]

Answer: Aproximately 2,525 balloons

Step-by-step explanation:

1. Find the volume of a balloon with the formula given in the problem, where $r$ is the radius ( $r=\frac{0.3m}{2}=0.15m$ ), then:

$V=4(0.15m)^{3}=0.0135m^{3}$

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

$V=0.0135m^{3}*1000=13.5L$

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

$(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs$

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

$\frac{75lb*1L}{0.0022lb}=34,090.90L$

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call $n$ ), you must divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

$n=\frac{34,090.90L}{13.5L}$

$n=2,525.25$ ≈2,525 balloons.

5 0

3 years ago

Evaluate. 4⋅( 1 4 −3 )+12

Artemon [7]

4.(14-3) + 12
4.11 + 12
44 + 12
56

3 0

3 years ago

Read 2 more answers

Solve this 2-step Equation 5=4a-7

katen-ka-za [31]

Answer:

a=3

Step-by-step explanation:

5=4a-7

add 7 on both sides

5+7=4a(-7+7)

12=4a

Now divide 4 on both sides

a= 3

PLEASE GIVE BRAINLISET

7 0

2 years ago

Write an algebraic expression for each word expression. Then evaluate the expression for these values of the variable : 1/2,4,an

Yuki888 [10]

Answer:

1)p/4,2,1,1.625 2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

1/2 divided by 4=2

4/4=1

6.5/4=1.625

2) x+1

1/2+1=3/2

4+1=5

6.5+1=7.5

7 0

2 years ago