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3 years ago

What is the right answer

Mathematics

1 answer:

Talja [164]3 years ago

8 0

<h3>Answer: A) 5</h3>

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Explanation:

Angle B = 90 degrees, and the side opposite this is the hypotenuse AC = 10.

Angle C = 30, and the side opposite this smallest angle is AB. For now we'll call this x.

It turns out that for any 30-60-90 triangle, the hypotenuse is twice as long as the short leg. So if x is the short leg, then 2x is the hypotenuse.

Set 2x equal to the given hypotenuse 10 and solve for x

2x = 10

x = 10/2

x = 5

That makes AB = 5.

In other words, we cut the hypotenuse in half to get the length of the shorter leg.

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Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

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Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

$\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}$

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

7 0

3 years ago

dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x

bagirrra123 [75]

Answer:

B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15

Step-by-step explanation:

Given expression = x + 15% of x

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= (1+ 0.15) x = 1.15x

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2 years ago

The pool at "splash around" is open for 14 weeks during the summer. you can swim for $6 a session, or you can buy a membership f

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Let

x--------> the number of sessions

y-------> the total payment

we know that

without membership:

$y=6x$ --------> equation $1$

with membership:

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using a graph tool------> resolve the system of equations

see the attached figure

the solution is the point $(50,300)$

that means

For $x=50\ sessions$

the cost is $\$300$ in both forms

to justify buying the membership

$x > 50\ sessions$

therefore

<u>the answer is</u>

$x > 50\ sessions$

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3 years ago

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Y = –2x + 30<br> y = 4x<br> Plz help

kati45 [8]

Answer: $x=5$

Step-by-step explanation:

Step 1:-

Given equations are y=-2 x+30........(1)

another equation is y=4 x ..........(2)

Step 2:-

solving these two equations (1) and (2)

Equating both equations are $4 x = -2 x+30$

$4 x+2 x =30$

$6 x =30$

Step 3:-

The final answer is $x=5$

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3 years ago

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2 years ago

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What is the right answer​

What is the right answer