A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

Answer:

the answer is 33

Step-by-step explanation:90 - 57=33

Answer:

33 degrees

Step-by-step explanation:

90-57=33

Answer:

C

Step-by-step explanation:

5a+ 18 < -27

Subtract 18 from each side

5a+18-18 < -27-18

5a < -45

Divide each side by 5

5a/5 < -45/5

a < -9

Open circle at 9, line doing to the left

Answer:

L*b

6*4

24cm

L*b*h

14.6m *1.2cm *8.4cm

=147.168

Answer:

This is the answer to No 1.

Volume= 48√5

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

Answer: 37

Step by step explanation:

y+29+40+2y=180°( sum of angle in straight line)

or, y+2y+29+40=180°

or,3y+69=180

or,3y=180-69

or,3y=111

or,y=111/3

y=37

hope it helps

Good luck on your assignment

Answer:

Last option (the drawn)

Step-by-step explanation:

The following points correspond to f:

(3, -2), (9, 2)

The slope of the line (m) is:

m = (2 - (-2))/(9 - 3) = 4/6 = 2/3

Therefore, the first option is incorrect (its slope is 3/2).

To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:

y = mx + b

2 = 2/3(9) + b

b = 2 - 6

b = -4

Therefore, the third option is incorrect (it add 4 instead of subtracting 4).

Replacing x = 6 into the equation we get:

y = 2/3(6) - 4

y = 0

then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).

Answer: the 4th answer is correct

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

please mark me brainliest:)

Explanation:

Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.

As definition of hyperbola:

Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.

So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a

x-y=2a

Length of transverse axis is x-y.

hope it helps....

Good luck on your assignment

The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola shown in the picture.

The green line indicates the transverse axis of the hyperbola.

As we know,

The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.

Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.

x-y=2a

The length of the transverse axis =  x - y

Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

Learn more about the hyperbola here:

brainly.com/question/12919612

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Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

Answer:

not sure if this is a right answer. but hope this helps

Step-by-step explanation:

The roots of the given quadratic equation are x=-1.6 and x=-6.4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

here, we have,

given that,

The given equation is x² - 8x + 41 =0.

The given equation can be solved using quadratic equation formula.

Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.

Quadratic equation formula x = -b±√b² - 4ac / 2a

Now, x= -8 ± √ 64 - 41 / 2×1

⇒ x= -8 ± √23 / 2

⇒ x= -8 ± 4.8 /2

⇒ x=-1.6 or x=-6.4

Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.

To learn more about the quadratic equation visit:

brainly.com/question/1863222.

#SPJ7

Answer:

x=9, y=42

Step-by-step explanation:

y=4x+6

y=6x-12

Substitute the second equation into the first:

6x-12=4x+6

Subtract 4x from both sides:

2x-12=6

Add 12 to both sides:

2x=18

Divide both sides by 2:

x=9

Plug this back into one of the equations to find y:

y=4(9)+6=36+6=42

Hope this helps!

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

Answer:

30-56

Step-by-step explanation:

It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].

Answer:

The length of side A is 12 cm

Step-by-step explanation:

This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.

Given

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

Required

Find A

The given parameters can be represented mathematically as;

[tex]\frac{A}{24} = \frac{6}{12}[/tex]

With this expression, the value of A can be easily solved

First; multiply both sides by 24

[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6 * 24}{12}[/tex]

[tex]A = \frac{144}{12}[/tex]

[tex]A =12[/tex]

Hence, the length of side A is 12 cm

Answer:

ANSWER:A

Step-by-step explanation:

ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!

byeeeeee:)

<3

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

Answer:

a x a x a x a x a x a

Step-by-step explanation:

a^4 x a^2

a x a x a x a times a x a

= a^6 or a x a x a x a x a x a

Answer:

Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

Answer:

Here's what I get  

Step-by-step explanation:

Total cost = equipment cost + monthly fee × number of months

Let C = total cost

and e = equipment cost

and f = monthly fee

and x = number of months. Then

C = e + f·x  

The condition is that C ≤ $175 or

e + f·x ≤ $175

1. NetGear

e = $99; f = $5/mo

The condition is  

99 + 5x ≤ 175

[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for 15 mo.

They would pay $99 for the equipment.

Fifteen months rental at $5/mo = $75.

Total cost = $174.

2. Anytime Games

e = $19; f = $19/mo

The condition is  

19 + 19x ≤ 175

[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for eight months.

They would pay $19 for the equipment.

Eight months rental at $19/mo = $152.

Total cost = $171.

3. Recommendation

The Community Centre should rent from NetGear.

They can rent for 15 mo without going over the budget.

With the other company, they can rent for only eight months.

The graphs below show how the costs for the two companies vary with the number of months.

Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.  

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

Answer:

(12,-2), (10,-1), (8,0), (6,1) and (4,2).

Step-by-step explanation:

If a function is defined as

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

then its inverse is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

It means coordinates of ordered pairs are interchanged.

From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).

Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).

Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).

Answer:

D

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(390-260)/(6-4)

m=130/2

m=65/1

every hour, a car travels 65 miles

D

Answer:

65/1

Step-by-step explanation:

Answer:

x^3 + 3x^2 + 4x + 12

Answer:

Large Pizza

Step-by-step explanation:

Rewarded with what? :P

Anyway,

The area of a circle is pi*r^2. Additionally, the radius is half the diameter.

The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.

The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.

Clearly 72pi is less than 81pi, so the Large Pizza is biggest.

Hope that helped,

-sirswagger21

(oh yeah and btw give me a million bucks for the reward ty :v)

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]