Which is the correct solution to ‐3x<21?

Answer:

  D.  96 m²

Step-by-step explanation:

The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.

__

The dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.

The two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.

The total surface area is ...

  lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²

  surface area = 96 m²

_____

Additional comment

The formula for the area of a triangle is ...

  A = 1/2bh

A triangular prism has two congruent triangular faces, so their total area is ...

  A = 2(1/2bh) = bh

We elected to skip the halving and doubling, and go straight to the total base area.

Answer:

$30

Step-by-step explanation:

First we will find how much money Davion paid with.

4 * $20 = $80

Now we can find how much the stuffed animal cost using the controller cost and change received.

Let x be the cost of the stuffed animal

80 = 32 + 18 + x

80 = 50 + x | subtract 50 from both sides

30 = x

This means the stuffed animal cost $30.

That is your answer

- Kan Academy Advance

Answer:

17/36

Step-by-step explanation:

Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

Answer:

f - 65 pages per hour

Step-by-step explanation:

420 - 160 = 260

6 - 2 = 4

260 divided by 4 is 65 on average per hour

Answer:

F. 65.

Step-by-step explanation:

The number of pages he has left to read = 420 - 160

= 260.

So mean number per hour 260/4

= 65.

[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

    What is the volume of a sphere with a diameter of 10m, rounded to the

nearest tenth of a cubic metre  (m³)?

[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]

[tex]\it{Volume\:of\:a\:sphere:-}[/tex]

[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]

[tex]\bold{\underline{Where:-}}[/tex]

Provided information:-

What we need in order to find the Volume:-

How to find the radius if we have the diameter?

[tex]\bold{r=d\div2}[/tex]

Replace d with 10:-

[tex]\bold{r=10\div2}[/tex]

Therefore, the radius of the sphere is

[tex]\rule{300}{1}[/tex]

✓ Now we have all the required information in order to find the volume of the sphere.

✳︎Substitute 5 in lieu of r:-

[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]

➪On simplification,

[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex]                     ◈  Next, write the value of π (3.14…)

[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]

On further simplification,

[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex]                Final Step:- Multiply the numbers.

[tex]\bold{V=523.3\:m^3}[/tex]

The answer has been rounded to the nearest tenth (one place after the decimal point)

Therefore, we conclude that the volume of the sphere is

[tex]\bold{V=523.3\:m^3}[/tex]

[tex]\rule{301}{1}[/tex]

Answer:

2.80

Step-by-step explanation:

20.44 / 7.3 = 2.8

Brainliest please

Answer:

Size 8

Step-by-step explanation:

A woman's size 8 in kids is a 6 or 6.5 youth shoe size.

Answer:

Step-by-step explanation:

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

An equation is an expression that shows the relationship between two or more variables and numbers.

During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.

Total number of animals = 6 + 1 + 2 + 3 + 6 + 2 = 20 animals

Percentage of animals that were snakes = (2 / 20) * 100% = 10%

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

[tex]2x^2+x-3=(2x+3)(x-1)[/tex]

Step-by-step explanation:

Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:

[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]

Hope this helps! Let me know if you are still confused.

Answer & Step-by-step explanation:

These questions are wanting you to find the sequence and solve for the nth term in said sequence.

The easiest way to do this is to just see the difference between each number, and continue adding or subtracting to the nth term the question is asking for.

For example, the first one is decreasing by 3 every time, so the 7th term will be -4, (the 4th term), subtracted by 3, three more times.

5, 2, -1, -4, -7, -10, -13

The other way to do this is to find the rule, and subsitute in what term is required.

For letter c (the second c), the sequence is 30, 24, 18, 12

The rule is to subtract 6 every time, so -6 n

Since we start our 1st sequence from 30, our rule must start from 30 + 6, the opposite of our rule, which gives us 36.

Our rule is 36 - 6n

So since we are looking for the 11th term, we substutute in 11 into our equation.

36 - 6 n
36 - 6 (11)

36 - 66

-30

This way of thinking will work for the whole set of questions you have here

Answer:

m<1 = 94

m<2 = 132

Step-by-step explanation:

This is a right trapezoid

Since the base lines are parallel, the facing angles would be supplementary and their sum is equal to 180 which means:

m<1 + 86 = 180 so m<1 = 94

and

m<2 + 48 = 180 so m<2 = 132

Answer:

(x - 1) is a factor of 2x² - 3x + 1

Step-by-step explanation:

Method 1

If (x - 1) is a factor of f(x) = 2x² - 3x + 1  then f(1) = 0

Substitute x = 1 into the equations:

f(1) = 2(1)² - 3(1) + 1

     = 2 - 3 + 1

     = 0

Therefore, (x - 1) is a factor of 2x² - 3x + 1

Method 2

Factor  2x² - 3x + 1

Find 2 two numbers that multiply to 2 and sum to -3:  -2 and -1

Rewrite the coefficient of the middle term as the sum of these 2 numbers:

⇒ 2x² - 2x - x + 1

Factorize the first two terms and the last two terms separately:

⇒ 2x(x - 1) - 1(x - 1)

Factor out the common term (x - 1):

⇒ (2x - 1)(x - 1)

Thus proving that (x - 1) is a product of 2x² - 3x + 1

Work Shown:

d = 3 = diameter

r = d/2 = 3/2 = 1.5 = radius

h = 12 = height or length of the pipe

pi = 3.14 approximately

V = volume of the cylinder pipe

V = pi*r^2*h

V = 3.14*(1.5)^2*12

V = 84.78

V = 85

The cylindrical pipe's volume is about 85 cubic feet.

Answer:

B is correct I hope this helps.

Answer:

x = 3

Step-by-step explanation:

[tex](8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3[/tex]

Answer:

A on edge 23

Step-by-step explanation:

because math

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

No of action films = 3

No of comedy films=3

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;

[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]

Hence, the  probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

The step that requires revision is step 1: set the compass width to the diameter of the circle

When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.

On no occasion should the width of the compass equal the diameter of the circle.

The step 1 in the question shows that the compass width is set to the diameter of the circle.

This is wrong, and it needs to be revised.

Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.

Read more about construction at:

https://brainly.com/question/14762960

#SPJ1

Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]

Step-by-step explanation:

[tex](-6-(-3))^2 + (7-0)^2[/tex]

[tex](-6, 7) and (-3, 0)[/tex]

[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].

[tex](-6,7)=(-6=[/tex]

[tex]7=)[/tex]

[tex](-3,0)=(-3=[/tex]

[tex]0=)[/tex]

[tex]Exact Form:\sqrt{58}[/tex]

The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]

Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]

Answer:

[tex]2(n-3)=2n-6[/tex]

Step-by-step explanation:

[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]

Answer:

2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

The radius of a unit circle is 1 and its diameter is 2 . π can be defined as the ratio of the circumference of a circle to its diameter, hence the circumference of the unit circle is 2π . In general the circumference of a circle of radius r is 2πr

data are individual pieces of factual information recorded and used for the purpose of analysis

Median and IQR

The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.

Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.

This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:

Based on this, to have a second cat implies 1.5 extra cans.

Learn more about feed in: https://brainly.com/question/15585750

#SPJ1

Answer:

Quick answer, C. 7 units!

Answer:

y=2x-2

Step-by-step explanation:

the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.

If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.

Option D) is the correct answer.

Area of a triangle is expressed as half base multiply by height.

A = (1/2)base × height

Given that;

A = (1/2)base × height

A = (1/2) × 7ft × 10ft

Area of the triangular garden A = 35ft²

Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?

1 bag covers 5ft²

x bags covers 35ft²

x = 35 / 5

x = 7 bags

Therefore,  if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.

Option D) is the correct answer.

Learn about area of triangle here: https://brainly.com/question/27683633

#SPJ1

Answer:

is 3.5

Step-by-step explanation:

you need to use SOH CAH TOA

Answer:

this is how I solve it....