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3 years ago

Pleaaaaaaaase For today

Mathematics

1 answer:

Mice21 [21]3 years ago

3 0

Answer:

23.6

Step-by-step explanation:

Hello There!

So they want us to find ∠Z

We are given ∠Zs opposite side length and the length of the hypotenuse

Sine refers to opposite divided by hypotenuse

So we can use sine to solve for ∠Z

$SinZ=\frac{6}{15} \\\frac{6}{15} =.4\\SinZ=.4\\Z=arcsin(.4)\\Z=23.57817848$

Note: arcsin is the inverse of sin

Other way we could find ∠Z:

We could also use law of sines which states that a side length divided by sin(its opposite angle) is equal to a different side length divided by sin ( its opposite angle)

So specifically for this triangle

$\frac{15}{sin90} =\frac{6}{sinZ}$

step 1 multiply each side by 6

note : flip the fraction

$\frac{6sin90}{15} =sinZ\\\frac{6sin90}{15}=.4\\.4=sinZ\\arcin(.4)=23.57817848\\Z=23.57817848$

Then our final step is to give our answer to the first decimal place

so the answer would be 23.6

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Solve using substitution: 2x - 3y = -1 y = x - 1

denis-greek [22]

Answer:

x=4 y=3

Step-by-step explanation:

rewrite the equations- y=x-1 2x-3y=-1

solve y=x-1 for y

y=x-1

sub for x-1 for y in 2x-3y=-1

2x-3y=-1

2x-3(x-1)=-1

-x+3=-1

-x+3+-3=-1+-3

-x=-4

divide both sides by -4

x=4

sub 4 for x in y=x-1

y=x-1

y=4-1

y=3

WE ARE VENOM

8 0

3 years ago

alA baker bought 4 gallons of icing to decorate cakes. He uses 4 1/2 cups of icing for completely Frost and decorate each cake.

kow [346]

Answer: 14 cakes

Step-by-step explanation:

We have the following data:

Number of gallons the baker has: $4 gallons \frac{16 cups}{1 gallon}=64 cups$

Number of cups the baker used for one cake: $4,5 cups$

Now, we can use the Rule of three to find the maximum number of cakes the baker can completely decorate:

$4.5 cups$ ----- $1 cake$

$64 cups$ ----- $?$

Then:

$?=\frac{(64 cups)(1 cake)}{4.5 cups}$

$?=14,2 cakes \approx 14 cakes$

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3 years ago

The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

andrew11 [14]

Given that the function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles, and that you have enough money to travel at most 20 miles.

The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.

Domain = {x: 0 ≤ x ≤ 20}

The range of a function is the set of the possible values of the function.

For x = 0, y = 3.5(0) + 2.8 = 2.8
For x = 20, y = 3.5(20) + 2.8 = 72.8

Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.

Therefore, range = {y: 2.8 ≤ y ≤ 72.8}

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3 years ago

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3 years ago

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Step-by-step explanation: