I need help finding the value of x which is the base of a triangle.

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

Answer:

answer: 336!!

Step-by-step explanation:

have a good day!

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

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Answer:

option 3, [tex]972\pi in^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]

cancel common factor: 3

[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]

Let me know if you have any questions !

opposite sides and diagonals of a parallelogram are equal

+ diagonals of a parallelogram meet eachother in the middle so:

10x+14=x+77

10x-x=77-14

9x=63

x=63÷9

x= 7

y+8=4y-19

y-4y=-19-8

-3y=-27

y=-27÷-3

y=9

2z+3=37

2z=37-3

2z=34

z=34÷2

z=17

Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

=> x² + 4x - 3x - 12

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

=> x² + 5x - 3x - 15

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

Answer:

11,880.

Step-by-step explanation:

This is given by the number of permutations of 4 from 12

= 12P4

= 12!/(12-4)!

= 12!/8!

=  (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)

= 12^11*10*9

= 11,880.

The amount of sheet metal needed to form the conical funnel is 5525 cm²

The given parameters are:

Start by calculating the slant height (l) of the cone using:

l = √(r² + h²)

This gives

l = √(30² + 50²)

Evaluate

l = 58.31

The lateral surface area of the conical funnel including the overlap is then calculated as:

A = πrl + Overlap * l

This gives

A = 3.142 * 30 * 58.31 + 0.5 * 58.31

Evaluate

A = 5525.4556

Approximate

A = 5525

Hence. the amount of sheet metal needed is 5525 cm²

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Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = [tex]\frac{\pi }{4}[/tex]

Answer:  $27.5

Step-by-step explanation:

10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.

Answer:

The monthly payment will be $54.75

Step-by-step explanation:

Hope this helps!

Answer:

The answer would be C, Both I and II.

Step-by-step explanation:

You can find an attached file which shows the scenarios incase your confused.

Answer:

maximum

Step-by-step explanation:

Concepts

The vertex of a graph represents the turning point in a parabola.

Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.

Application

We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.

Answer: I think it might be 10y

2

+39y+35

Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.

hope this helps!

♥ Chen was here

Answer:

10y^2 + 39y +35

Step-by-step explanation:

First distribute (2y+5)(5y+7)-

2y(5y + 7 )+ 5(5y + 7) This turns into:

10y^2 + 14y + 25y +35

Now combine the like terms (14y+25y)

You should get 10y^2 + 39y + 35 which is your final answer. :)

Answer:

  $18.99

Step-by-step explanation:

The total cost is the base cost plus that of the added toppings.

  total cost = base cost + (number of toppings) × (topping cost)

  total cost = $13.99 + 4 × $1.25 = $18.99

Their pizza costs $18.99.

Using sampling concepts, it is found that the correct statement is given by:

c. the sample is 85 people. the population is 2,534 people.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 85 people, which is the sample, is taken from the entire population of 2,534 people, hence option c is correct.

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Answer:

8 hours

Step-by-step explanation:

12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams

Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know

Answer:

8 hours

Step-by-step explanation:

To solve this it seems you need to set up a proportion.

12/2=48/x

cross multiply the 2 and 48.

2•48=96.

divide by the remaining number to get x.

96/12=8.

Answer:

8×3×2=48

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

48 cubic meters

Step-by-step explanation:

What we get to know by looking at picture :

[tex] \\ \\\\ [/tex]

To find :

[tex] \\ \\ \\ [/tex]

Given:

[tex] \\ \\ \\ [/tex]

Concept:

So as we can orange doesn't lies inside circle. And the wall of circle touches all four sides of circle. So first we have to find area of circle and then Area of square. And then we will subtract the ares. The result will be Area of orange part.

[tex] \\\\ \\ [/tex]

[tex] \\ \\\\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of circle: }}}[/tex]

[tex] \\ [/tex]

To find area of circle we need radius of it i.e Length of OP.

As BC = AB

∴AB = 6.84

As O is the center of square ∴it's center of circle too

Therefore:

[tex] \\\\ [/tex]

Now Let's find area :

[tex] \\\\ [/tex]

[tex] \star \boxed{ \rm Area~of~circle = \pi {r}^{2} }[/tex]

here :

[tex] \\ [/tex]

[tex]: \implies\sf Area~of~circle = \pi {r}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times11.7\\\\\\: \implies\sf Area~of~circle = \dfrac{257.4}{7} \\ \\ \\ : \implies \boxed{ \orange{\tt{ Area~of~circle = 36.6 \{approx \}}}} \bf \dag[/tex]

[tex] \\ \\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of square: }}}[/tex]

[tex] \\\\ [/tex]

[tex] \star \boxed{ \rm Area~of~square = {side}^{2} }[/tex]

[tex] \\ \\ [/tex]

[tex]: \implies\sf Area~of~square = {side}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84} \times 6.84 \\ \\ \\ : \implies \boxed{\tt{ \orange{Area~of~square = 46.8 \{aprox \}}}}\bf\dag[/tex]

[tex] \\ \\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of orange \: part: }}}[/tex]

[tex] \\ [/tex]

[tex] \star\sf \boxed{ \rm Area_{(orange \: part)} = Area_{(square)} - Area_{(circle)}}[/tex]

[tex] \\ \\ [/tex]

[tex]: \implies\sf Area_{(orange \: part)} = 46.8 - 36.6 \\ \\ \\ : \implies \boxed{ \blue{\tt{Area_{(orange \: part)} = 10.2}}}\bf\dag[/tex]

Answer:

5[tex]\pi[/tex]/12 rad

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

75(π/180) = 5π/12 radians

arc length = central angle (2πr)

360

measure of the inscribed angle = 75º

measure of the central angle = 150º

arc length = 150 (2π1000)

360

arc length = (5/12)

[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]

Answer:

23

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 8

15 + 8

= 23

Answer:

1600π cm^2.

Step-by-step explanation:

S. A. of a sphere = 4πr^2

= 4 π 20^2

=  1600π cm^2

Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

Answer:

Rectangle

Trapezoid

Square

Triangle.

Step-by-step explanation: