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2 years ago

7

Kiley spent $20 on rides and snacks at the state fair. If x is the amount she spent on rides, and y is the amount she spent on s

nacks, the total amount she spent can be represented by the equation x+y=20. If the relationship between x and y linear? Is it proportional? Explain.

1 answer:

IgorLugansk [536]2 years ago

5 0

Both linear and proportional because as x increases y decreases at the same rate

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A cylinder has a radius of 8 meters and a height of 4 meters. .

Novay_Z [31]

<h2><u>Solution</u> :-</h2>

Given : Radius of cylinder = 8 m

Height = 4 m

Volume of cylinder = πr²h cu. units

= 22/7 × 8 × 8 × 4 m³

= 804.57 m³ (approx.)

Curved surface area = 2πrh sq. units

= 2 × 22/7 × 8 × 4 m²

= 201.14 m² (approx.)

Total surface area = 2πr(r + h) sq. units

= 2 × 22/7 × 8 (8 + 4) m²

= 2 × 22/7 × 8 × 12 m²

= 603.43 (approx.)

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3 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

<em>Find the length of DC</em>

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

Which of the following stanements shows the inverse property of addition?

Nikitich [7]

Answer:

$0\cdot \:y+\left(-0\cdot \:y\right)=0$ the statement shows the inverse property of addition as the sum of a number and its inverse is zero.

Step-by-step explanation:

As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.

For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.

In other words, the sum of a number and its inverse is zero.

Now checking from the available options,

$0y+\left(-0y\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=0\cdot \:y-0\cdot \:y$

$\mathrm{Add\:similar\:elements:}\:0\cdot \:y-0\cdot \:y=0$

$=0$

Thus,

$0\cdot \:y+\left(-0\cdot \:y\right)=0$

Therefore, $0\cdot \:y+\left(-0\cdot \:y\right)=0$ the statement shows the inverse property of addition as the sum of a number and its inverse is zero.

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2 years ago

Which of the following expressions results in 0 when evaluated at x = 4?

Naily [24]

A).(x - 10) X (x - 4)
(4 - 10) X (4 - 4)
6 X 0 = 0

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3 years ago

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Randy and Susie Moser are newlyweds. Randy drives their car to his job, twenty-seven miles away from home, each day. If Randy an

Andrews [41]

The answer is $834.10

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3 years ago

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