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Natali [406]
3 years ago
11

How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two

Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

The answer is one. and apparently i need more word soooo, words words words.

Vitek1552 [10]3 years ago
5 0
From the law of sines, we have:

\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}, 

where x and y are the sides opposite to angles X and Y, respectively.


Substituting the known values, we have:



\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}, thus

                           \displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31.


Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.


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Charlene wants to earn at least $600 this month in commission. What is the minimum amount she needs to sell to earn $600 if she
nika2105 [10]

Answer:

She will need to earn a little more than $1333 that week.

Step-by-step explanation:

600/0.45 = 1333.333(repeating) rounded to nearest dollar is 1333

Check by doing 1333 x 0.45 (comes out to be 599.85)

3 0
2 years ago
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B tra
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

7 0
2 years ago
Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15
Digiron [165]

\huge \boxed{\mathfrak{Question} \downarrow}

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\left. \begin{array}  { l  }  { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.

  • To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2x-5y=-13, \: 3x+4y=15

  • Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

2x-5y=-13

  • Add 5y to both sides of the equation.

2x=5y-13

  • Divide both sides by 2.

x=\frac{1}{2}\left(5y-13\right)  \\

  • Multiply \frac{1}{2}\\ times 5y - 13.

x=\frac{5}{2}y-\frac{13}{2}  \\

  • Substitute \frac{5y-13}{2}\\ for x in the other equation, 3x + 4y = 15.

3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15  \\

  • Multiply 3 times \frac{5y-13}{2}\\.

\frac{15}{2}y-\frac{39}{2}+4y=15  \\

  • Add \frac{15y}{2} \\ to 4y.

\frac{23}{2}y-\frac{39}{2}=15  \\

  • Add \frac{39}{2}\\ to both sides of the equation.

\frac{23}{2}y=\frac{69}{2}  \\

  • Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{ \underline{ \sf \: y=3 }}

  • Substitute 3 for y in x=\frac{5}{2}y-\frac{13}{2}\\. Because the resulting equation contains only one variable, you can solve for x directly.

x=\frac{5}{2}\times 3-\frac{13}{2}  \\

  • Multiply 5/2 times 3.

x=\frac{15-13}{2}  \\

  • Add -\frac{13}{2}\\ to \frac{15}{2}\\ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

\large\underline{ \underline{ \sf \: x=1 }}

  • The system is now solved. The value of x & y will be 1 & 3 respectively.

\huge\boxed{  \boxed{\bf \: x=1, \: y=3 }}

8 0
2 years ago
Greta added 3/6 of a cup of sugar to her cake mix, then sprinkled
bazaltina [42]
3/6 of a cup, 1/6 times 3/1 equals 3/6 or 1/2 :)
8 0
2 years ago
Can you help me with both don’t know if second one is right
erma4kov [3.2K]

Answer:

1. $67.72

2. It's correct.

Step-by-step explanation:

1.

bill: $68.89

discount: $10

tip: 15%

Calculate the total with the discount.

68.89-10=58.89

Now calculate 15% of that.

Convert 15% to decimal by dividing by 100

\frac{15}{100}=0.15

Multiply

0.15(58.89)=8.83

Add this to the original amount.

58.89+8.83=67.72

----------------------------------------------------------------------------

Calculate 20% of 148.25

Convert 20% to decimals by dividing by 100

\frac{20}{100}=0.20

Multiply

0.20(148.25)=29.65 This is how much they will tip.

Add this to the original bill;

148.25+29.65=177.90

7 0
3 years ago
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