What is the lateral surface area of the triangular prism?



Round to the hundredths place.

Answer:

Length can be 14 - 10 inches

Width can be 10 - 14 inches

Answer:

1 1/3 cups of milk

Step-by-step explanation:

In our recipe

For every 1 1/2 cups of flour we need  2 cups of milk

then the flour and milk are two proportional quantities

1 1/2 ————-> 2

We know that 1 1/2 = 1/2 + 1/2 + 1/2  then

1/2 + 1/2 + 1/2 ————-> 2

Then (we divide both sides by 3)

1/2 ————-> 2/3

Then (we multiply  both sides by 2)

1 ————-> 4/3

finally , 4/3 = 1 1/3

For the given equation, the center will be (1, -3) and the radius will be 3.

Correct option is (3)

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the center.

As per the given data:

Equation of the circle is [tex](x - 1)^2 + (y + 3)^2 = 9[/tex].

For a circle with equation [tex](x - a)^2 + (y - b)^2 = r^2[/tex]

The center is given by (a, b) and the radius is given by r.

Similarly comparing with the equation  [tex](x - 1)^2 + (y - (-3))^2 = 3^2[/tex].

The center will be (1, -3) and the radius will be 3

Hence, For the given equation the center will be (1, -3) and the radius will be 3.

To learn more about circle, click:

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Answer:

[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]

First, subtract by log₁₀(8) from both sides.

[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]

Solve.

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

9

Step-by-step explanation:

So,

2 is in the units,

4 is in the tens,

1 is in the hundreds,

6 is in the thousands,

9 is in the ten thousands, and

7 is in the hundred thousands.

I hope this is helpful xx

Answer:

9 is in the ten thousands place.

Answer:

Possible answers (6,-8) and (4,-4)

Step-by-step explanation:

These two possible answers show the line has a slope of -2

Answer:

3x+8

Step-by-step explanation:

linear function formula ax+b

when x=3 3a+b=17 and when x=6 6a+b=26

3a=9 a=3,

when x=3 3.3+b=17 9+b=17 b=8

3x+8

Answer:

Minimum weight = 23kg

Maximum weight= 34kg

Step-by-step explanation:

Find the lowest and highest weight

Answer:

See below ↓↓

Step-by-step explanation:

Answer:

-295

Step-by-step explanation:

10^2=100

8x3=24

100-24=76

76x4=304

5+4=9

9-304=-295

Answer:

[tex]y < 3x+4[/tex]

short explanation:

1) the common view of slope-interception form is:

y < slope*x+intercept or y>slope*x+intercept. Then

2) according the form above:

3x-y>-4;

y<3x+4.

Unit rate in this case denotes to distance traveled in miles per hour.Indirectly it denotes to speed

#Car A

#Car B

As we can observe

car A is traveling faster

45-12=33

then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.

We observe that the

height of the cone is 8 in.

radius of the cone is 2 in.

Volume of a cone = 1/3 π r² h

where R = radius and h = height

Using the formula we get :

Volume = 1/3 π 2 × 2 × 8

= 32 / 3 π cm³

= 33.5 cm³ ( rounded to 10)

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.

Solution:

Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same

Answer:

You have to pay $3.50 up front before using the kayak

Answer:

225

Step-by-step explanation:

if you convirt them all to fractions and make it 5/1*10/1*36/1=225

Answer:

1/12

THIS DESERVES BRAINLISTTT

Step-by-step explanation:

There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.

A die has 6 sides. A coin has two.

The probability of rolling a 5 on the die is 1/6.

The probability of getting tails is 1/2.

To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.

The probability of rolling a 5 and getting tails is 1/12.

Answer:

[tex]Probability = \frac{4}{9} [/tex]

Given:

The die was rolled twice having six sides,

To find:

probability of getting a number greater than 2 =?

solution:

The probability of getting a number greater than 2 on single roll =

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

Similarly on second roll the probability would be

[tex] \frac{2}{3} [/tex]

Since two events are occurring together, the total probability of finding number greater than 2 in both rolls =

[tex] \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} [/tex]

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Answer:

To find the mean absolute deviation take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

6,6,3,4,4 - Mean Absolute Deviation: 1.12

Answer:

a) meters

b) liters

c) kilograms

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Formula for area of a triangle;

A = BH x 1/2

B = The base

H = The height

1/2 = Half of the product of (base x height)

We first need to figure out the base of this triangle, so count the units across from the base of this triangle.

The base is 4 units.

Now we need to find out the height, so count the units above starting from the base of this triangle and to the end of this triangle.

The height is 7 units.

Now plug these values into our equation:-

A = BH x 1/2

A = 4(7) x 1/2

A = 28 x 1/2

A = 28/2

A = 14, the area of this right triangle is 14 square units.

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]

Therefore,

Answer:

Answer:

1) x>3

2) x<5

hope this helped

Answer:

1. -6

Step-by-step explanation:

f(x)=x²-9

g(x)= x-3

1. (f+g)(2) =

(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6

Answer: 8

Step-by-step explanation:  if FH=34 and EG should also =34 then what times 4 +2 would = 34 and that would be 8.    EG=4x+2 put the 8 as the x so 4*8+2 and that = 34.

Answer:

6x-3(2x-5)=9

6x-6x+15=9

15=9

no sollution

Hello!

_____

The quotient of two numbers means we divide one number by another number.

Example :-

The quotient of 6 and a number:-

6÷x

According to the example above, the algebraic expression looks like so:-

69÷x

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

I think it is since i already passed that i think that is correct , well good job !!

Step-by-step explanation: