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3 years ago

What is the surface area of the composite figure? Round to the nearest tenth.

Mathematics

1 answer:

pychu [463]3 years ago

7 0

Answer:

Find the area of the base of the cylinder using A = (pi)r 2 . Subtract your answer from the 80 square inches for the cube and the area of the cylinder. 4. Add the surface areas of each figure to get the total area of the composite figures.

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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

Ethan bikes 13 more miles than thomas. The sum of Thomas's mileage and twice Ethan's mileage =83

stiv31 [10]

83-13 = 70
70/2 = 35

Thomas’s mileage is 35 miles

6 0

3 years ago

does anyone understand this or can anyone explain what i need to do please ?? there’s no instructions

Contact [7]

Answer:

nah man... good luck tho

3 0

2 years ago

Ashley was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She t

belka [17]

Well in this problem we just have to work backwards doing everything opposite of what she did in order to get the final answer.
so she has 39 stamps at this moment. and since she bought nine more stamps lets subtract that value to see what she had before that.
1.) 39 - 9 = 30
now she has 30. but she said that before step one she sold half of them to buy that video game. so she divided her starting number by two. so again we are going to work backwards by multiplying the number by 2:)
2.) 30 x 2 = 60!!
3.) So she started out with 60 stamps
answer is 60:)
hope i helped

8 0

3 years ago

g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have

Mumz [18]

Answer:

Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies

Step-by-step explanation:

Probability of having a pattern in rare subspecies $= 0.98\\$