Unit 6 lesson 10 surface area and volume unit test

Answer:

  A and C

Step-by-step explanation:

We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.

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A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.

So, the only figures that might have similar volumes are the hemisphere and the cone.

  V = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³

  V = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³

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The hemisphere (A) and the cone (C) have the same volume.

Answer:

She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.

Step-by-step explanation:

Answer:

  21°

Step-by-step explanation:

Dilation is a similarity transformation. It does not change angles. It changes lengths proportionally.

∠A'B'C' ≅ ∠ABC = 21°

Answer:

Step-by-step explanation:

Answer:

a. tan

3 T-shirts

b. 7 - 3 = 4 T-shirts

Step-by-step explanation:

Gradient = y2-y2/x2-x1

= 1-(-2) / 0-(-6)

= 1/2

m1 × m2 = -1

1/2 × m2 = -1

m2 = -2

y= mx+c

(3)=(-2)(2) + c

c=7

°y= -2x +7

Answer:

B

Step-by-step explanation:

Combine like terms

8x + x = 9x

Put the numbers in the correct format

x³ + 9x + 5

This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.

I hope this helps and please mark me as brainliest!

Answer:

The answer is B

Step-by-step explanation:

It is a cubic and a trinomial

Answer:

Inequality Form:

X< −1

Interval Notation:

(−∞,−1)

Step-by-step explanation:

Answer:

[tex]x < -1[/tex]

Step-by-step explanation:

First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]

Step-by-step explanation:

p(x)=x³-1

p(-1)=(-1)³-1=(-1)-1=(-2)

p(-1)=(-2)

p(1)=(1)³-1=1-1=0

p(1)=0

Answer:

The options that show the Commutative Property of Multiplication are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)  

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

The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:

Of the options, the ones which show it are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)

In C), on the left side, the first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.

Step-by-step explanation:

-lukelaws

Answer:

Step-by-step explanation:

These shows the commutative property.

Hope it helps~

Answer:

[tex]someone \: needs \: to \: g et \: laid \\ [/tex]

Answer: B. 0.25

Step-by-step explanation:

Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.

Answer:

2

Step-by-step explanation:

he has 12 eggs and each hachapuri needs 5 so for one hachpuri we have 7 then for the second hachapuri we need 5 so we are left with 2 we cant make them anymore so there you go

Answer:

Girl how do you not know this is the most easiest thing /hj

Step-by-step explanation:

its a linear and strong association bc the dots are very refined and stuck together very well

Answer:

694.9

Step-by-step explanation:

Answer:

This is your answer 694.931651315437

Have a good day!

Answer:

  70 yards wide and 135 yards long

Step-by-step explanation:

The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.

__

The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.

A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.

_____

Check

Given perimeter: 2(80 +125) = 410 yds.

Modified perimeter: 2(70 +135) = 410 yds. (same)

Given area = 80(125) = 10000 yd².

Modified area: 70(135) = 9450 yd². (smaller)

__

Additional comment

The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.

Answer:

well its free

Step-by-step explanation:

asdasdasdasd

Answer:

Difference in weight is 24 once

Step-by-step explanation:

got it right

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

→ Here,

by substituting the values of x and y, y = 18 when x = 12

[tex]\rm{y = kx} \\ \\ \rm{18 = 12k} \\ \\ \rm{k = \cancel \frac{18}{12} } \\ \\ \rm{ k = 1.5}[/tex]

Now, substituting value of k nd x in y = kx

[tex] \rm{y = (1.5 \times 60 )} \\ \\ \rm{y = 90}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

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Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

Answer:

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

Open parenthesis to convert it into standard form:

Answer:

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

Answer:

Square, purple triangle, and red arrow

Step-by-step explanation:

Answer:

Step-by-step explanation:

$8 per hour + average commision $260 per car sold ≥ $1040 per week.

This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.

Answer:

Step-by-step explanation:

5/6

Answer:

multiply length with breadth which is 34 *42

Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428

Answer:

x = 10, AB = 57

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:

[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]

[tex]13x - 4 = 126[/tex]

[tex]13x = 130[/tex]

[tex]x = 10[/tex]

[tex]5(10) + 7 = 50 + 7 = 57[/tex]