Find the area of the figure below.

The scientific notation for this is :-6x10⁷

Answer:

a

c

b

i think those are right hope im not wrong good luck

Answer:

x=4, x=-4

Step-by-step explanation:

x^2-16=0

Add 16 to both sides;

x^2-16+16=0+16

Simplify;

x^2=16

x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]

[tex]\sqrt{16}[/tex]

=4

factor the number;16

[tex]\sqrt{4^2}[/tex]

=[tex]\sqrt{4}[/tex]

-[tex]\sqrt{16}[/tex]

Factor the number 16;

[tex]\sqrt{4^2}[/tex]

=-4

they are supplemen angles

Answer:

105

Step-by-step explanation:

The sum of a quadrilateral's angles is always equal to 360

360 - 60 - 115 - 80 = 105

Hope this helps :)

Answer:

n = 5

Step-by-step explanation:

4n - 11 = 9

    + 11 =  +11

4n        = 20

4n/4   =  20/4

=5

Answer:

i think the first one maybe... not so sure

Answer:

Should be B and D

Step-by-step explanation:

You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.

Answer:

Simplified: 9 2/3

Step-by-step explanation:

Convert the mixed numbers into improper fractions

To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator

First fraction:

5 11/12

(12 × 5 + 11)/12

(60 + 11)/12

71/12

Next fraction:

3 9/12

(12 × 3 + 9)/12

(36 + 9)/12

45/12

Substitute these fractions in the original problem now:

71/12 + 45/12

Add the numerators only. The denominators stay the same.

(71 + 45)/12

116/12

Now that the calculations are done, convert this back into a whole number

How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction

12 × 9 = 108

This doesn't equal 116 perfectly so we must find the left over

116 - 108 = 8 left over (which is used as the numerator)

9 8/12

If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them

8 and 12 both have common factors of 2 and 4

Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer

9 2/3

Answer:

Step-by-step explanation:

I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.

Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²

The lateral surface area of the triangular prism is 128 square cm.

A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 8 cm

The formula for lateral surface area of triangular prism is

[tex]LSA=(perimeter)(length)[/tex]

On substituting the above values,

⇒ [tex]LSA=(5+6+5)(8)[/tex]

⇒ [tex]LSA=(16)(8)\\[/tex]

⇒ [tex]LSA=128[/tex]

Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.

Learn more about triangular prism here

https://brainly.com/question/15070306

#SPJ2

Answer:

c.vertical angle is the answer

Answer:

c

Step-by-step explanation:

vertical

correct answer is c

9514 1404 393

Answer:

  B  acute

Step-by-step explanation:

We can define a "form factor" for a triangle as ...

  f = a² +b² -c²

where c is the longest side length. It will be interpreted as follows:

For this triangle, our "form factor" is ...

  f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number

The triangle is Acute.

Answer:

sin(a−28)=cos(4)

sin(a−28)=−0.653644

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

Replace b with 5:

6(2(5)-4)

Simplify:

6(10-4)

Subtract:

6(6)

Multiply to get the answer: 36

The answer is 36

Hey there!

6(2b - 4)

= 6(2(5) - 4)

= 6(10) - 4)

= 6(10) + 6(4)

= 60 - 24

= 36

Therefore, your answer should be: 36

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11

Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0

Labeled scatter plot of Education and Internet Use is attached in the picture below.

Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.

The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048

Answer:

1/9

Step-by-step explanation:

1/3 ÷ 3 = 1/9

People use the KCF method for this kind of solution.

At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.

Answer:

2.47 x 10 to the power of 4 (2.47x10^4)

247,000

two hundred, forty, seven, thousand,

200,000+40,000+7,000=247,000

Answer:

[tex]A=376.99\ cm^2[/tex]

Step-by-step explanation:

We need to find the lateral surface area of the cylinder of radius 6 cm and height of 10 cm.

We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by :

[tex]A=2\pi rh\\\\A=2\pi \times 6\times 10\\A=376.99\ cm^2[/tex]

So, the lateral surface area of the cylinder is [tex]376.99\ cm^2[/tex].

Answer:

hhhhhh

Step-by-step explanation:

i think it is 40

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

Answer:

55 mph

Step-by-step explanation:

divide the miles by hours

Answer:

no

Step-by-step explanation:

Answer:

yes they are

Step-by-step explanation:

Answer:

1.898 ×10^27 kg for Jupiter

and for Neptune 1.024×10^26 kg

Answer:

Hola

Step-by-step explanation:

Answer:

C.I

Step-by-step explanation:

Answer:

two on the top

one to the left

two to the right

two on the bottom

Step-by-step explanation:

Answer:

14 square units

Answer:

-17 < c < 5

Step-by-step explanation:

I think that's the answer

I can't confirm anything

Answer:

Step-by-step explanation:

y=-2x²+16x-35

=-2(x²-8x+16-16)-35

=-2(x²-8x+16)+32-35

=-2(x-4)²-3

axis of symmetry is x-4=0

or x=4

Answer:

y=2x^2+16x-35

a=2, b=16

x= -[tex]\frac{16}{2x2}[/tex]

x=-4

Answer:

Step-by-step explanation:

From the given information:

6 cars pass on the road per minute. This implies that per minute, we will have:

6/60 passes = 0.1 car passing the road per second

Thus, for 5 sec; we have:

5 × 0.1 = 0.5

Let assume X signifies to be a random variable which denote the no of cars in the next  5 minutes and which follows a Poisson distribution.

i.e.

[tex]X \sim Poisson (0.5)[/tex]

[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]

[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]

[tex]= 1 - e^{-0.5}[/tex]

[tex]= 1 - 0.6065[/tex]

[tex]= 0.3935[/tex]

However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:

Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;

[tex]Y \sim Poisson (0.2)[/tex]

[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]

[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]

[tex]= 1 - e^{-0.2}[/tex]

[tex]= 1 - 0.8187[/tex]

[tex]= 0.1813[/tex]

Answer:

The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.

Step-by-step explanation:

Geometrically speaking, the volume of the rectangular box ([tex]V[/tex]), in cubic feet, is represented by this formula:

[tex]V = l^{2}\cdot h[/tex] (1)

Where:

[tex]l[/tex] - Side length of the box, in feet.

[tex]h[/tex] - Height of the box, in feet.

In addition, the total cost of the box ([tex]C[/tex]), in monetary units, is defined by this formula:

[tex]C = (c_{b}+c_{t})\cdot l^{2} + 4\cdot c_{s}\cdot l\cdot h[/tex] (2)

Where:

[tex]c_{b}[/tex] - Unit cost of the base of the box, in monetary units per square foot.

[tex]c_{t}[/tex] - Unit cost of the top of the box, in monetary units per square foot.

[tex]c_{s}[/tex] - Unit cost of the side of the box, in monetary units per square foot.

By (1), we clear [tex]h[/tex] into the expression:

[tex]h = \frac{V}{l^{2}}[/tex]

And we expand (2) and simplify the resulting expression:

[tex]C = (c_{b}+c_{t})\cdot l^{2}+4\cdot c_{s}\cdot \left(\frac{V}{l} \right)[/tex] (3)

If we know that [tex]c_{b} = 0.34\,\frac{m.u.}{ft^{2}}[/tex], [tex]c_{s} = 0.05\,\frac{m.u.}{ft^{2}}[/tex], [tex]c_{t} = 0.16\,\frac{m.u.}{ft^{2}}[/tex] and [tex]V = 40\,ft^{3}[/tex], then we have the resulting expression and find the critical values associated with the side length of the base:

[tex]C = 0.5\cdot l^{2} + \frac{8}{l}[/tex]

The first and second derivatives of this expression are, respectively:

[tex]C' = l -\frac{8}{l^{2}}[/tex] (4)

[tex]C'' = 1 + \frac{16}{l^{3}}[/tex] (5)

After equalizing (4) to zero, we solve for [tex]l[/tex]: (First Derivative Test)

[tex]l-\frac{8}{l^{2}} = 0[/tex]

[tex]l^{3}-8 = 0[/tex]

[tex]l = 2\,ft[/tex]

Then, we evaluate (5) at the value calculated above: (Second Derivative Test)

[tex]C'' = 3[/tex]

Which means that critical value is associated with minimum possible total costs. By (1) we have the height of the box:

[tex]h = 5\,ft[/tex]

The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.