sophie leaves school and travels east at an average speed of 40km/h, jenny leaves school one hour later and travels west at an average speed of 50km/h, determine how many hours after jenny leaves school they will be "400km" apart

The lateral surface area is about 105,600 meters.

The area of ​​the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of ​​a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.

In this case, the formula of the lateral surface area is:

[tex]SA=\frac{P*S}{2}+B[/tex]

Where:

The height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:

[tex]S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130[/tex]

Returning to the formula given above, we find that:

[tex]SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters[/tex]

See more about lateral area of ​​a pyramid brainly.com/question/9953526

#SPJ4

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given below.

[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]

The function can be written as

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

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ1

Answer:

-0.72

Step-by-step explanation:

First we must solve what in parenthesis

Now we must convert [tex]\frac{9}{14}[/tex] to a whole number

To do that simply divide 9 by 14 and that come out as

= 0.6

Now multiply

Answer:

Below.

Step-by-step explanation:

You have a data point 5 to the left.

So you would move another data point 5 units to the right - like for example 14 to 19.

Answer :

[tex]x < 2[/tex]

Answer:

88.0 in^3 to nearest tenth.

Step-by-step explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.

Answer:

87.9 in³ OR 88.0 in³

Step-by-step explanation:

Concepts

The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

2:

Answer:

it's a bit hard to see in green.

16 cubes are needed to fill in the prism mad by the net.

Sure hope this helps you

Answer:

  10 units

Step-by-step explanation:

Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.

The equation of a circle is written in standard form as ...

  (x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r

__

Comparing this to what you are given, you see that ...

  h = -25/4

  k = 0

  r² = 25

The radius is ...

  r = √25 = 5

The diameter is twice the radius, so is ...

  d = 2r = 2(5)

  d = 10

The diameter of the circle is 10 units.

Answer:

1 Truncation

Truncation is a method of approximating numbers. It is easier than rounding, but does not always give the best approximation to the original number. Truncation is used in computing when division is done with integers and the answer must be an integer.

Step-by-step explanation:

Answer:

x ≥ 18

Step-by-step explanation:

2(x-3)-3(5x-2) ≤ 6(3-2x)

⇔ 2x - 6 - 15x + 6 ≤ 18 - 12x

⇔ 2x - 15x  ≤ 18 - 12x

⇔ -13x ≤ 18 - 12x

⇔ -13x + 12x ≤ 18

⇔ -x ≤ 18

⇔ x ≥ 18

⇔ x∈[18 , ∞)

Step-by-step explanation:

the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).

now, the whole retail price is reduced by 12%.

that means we have to subtract 12% from the 120%.

but careful, we cannot just do 120-12=108.

that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.

we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.

we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :

120 × 0.88 = 105.6%

so, the new retail price is now only 5.6% over the manufacturer price.

Answer:If bees disappeared completely, the biodiversity of our planet would be greatly affected, depriving us of various plant species we eat and leading to the disappearance of thousands of species of plants, flowers and fruit trees, as well as honey.

Step-by-step explanation:

Answer: Heyaa! ~

1.36 rounded to the nearest integer is 1!

Step-by-step explanation:

Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.

Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):

Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.

In short: 1.36 rounded to the nearest whole number is 1.

Hopefully this helps you! ~

Answer:

A = 7.5 units^2

Step-by-step explanation:

A = (a+b)/2 * h

A and B are both bases of the trapezoid (top and bottom)

H is the height

A is 1

B is 4

H is 3

Plug that into the trapezoid equation and we get

(1+4)/2 * 3 = 7.5 units ^2

Answer:

multiply the base of the perpendicular by its height

Step-by-step explanation:

It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

Answer:

let X be the number of ways they can be seated without condition,

let M the the number of ways they can be seated if the two people must sit together,

let N be the number of ways they can be seated if the two must not sit together.

X=7! =5040

M= 6!× 2!=1440

M+N=X

then N=X–M=5040–1440=3600ways

Hey there!

8!

= 8(7)(6)(5)(4)(3)(2)(1)

= 56(6)(5)(4)(3)(2)(1)

= 336(5)(4)(3)(2)(1)

= 1,680(4)(3)(2)(1)

= 6,720(3)(2)(1)

= 20,160(2)(1)

= 40,320(1)

= 40,320

Therefore, the answer should be:

40,320

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm

Answer:

The correct answer is B.

Step-by-step explanation:

There seems to be no strong correlation for scatter plot B.

Hope this helps:) Goodluck!

Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:[tex]y = \frac{1}{3}x +1[/tex]

Step-by-step explanation:

I can see that one coordinate is (0,1) and another to assume is (-3,0)

With this we can make the equation

Equation format is y = mx + b

b is y-intercept, so when x is 0, y = 1, so b = 1

y = mx + 1

We can substitute (-3,0) into the equation and get 0 = -3m + 1

Solving for m gives us [tex]\frac{-1}{-3} = m[/tex]

so [tex]y = \frac{1}{3}x +1[/tex]

Answer:

The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:

[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:

The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex].  The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:

[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.

George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.

570 = 75x + 65(x-2)

570 = 75x + 65x -130

700 = 140x

x = 5 hours

Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

p (a vanilla cookie) = 6/19

p (a chocolate or lemon cookie) = 13/19

p (not a lemon cookie) = 10/19

p (a vanilla or chocolate or lemon) = 10/19

p (a peanut butter cookie) = [There's no peanut in the info you gave, sorry]

If you can simplify the fractions, then simplify

Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is  56 days.

Given that;

If 1 project takes 14 days

4 project takes x days

x = 4 × 14 days

x  = 56 days

Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is  56 days.

Learn more word problems here: brainly.com/question/2610134

#SPJ1

Answer:

13 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )

d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]

  = [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]

   = [tex]\sqrt{5^2+144}[/tex]

   = [tex]\sqrt{25+144}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

Step-by-step explanation:

the other answer is correct.

just a few words about the why :

when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.

the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).

and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.

and then we can use Pythagoras

c² = a² + b²

c = sqrt(a² + b²)

with c being the Hypotenuse.

and you see, that is exactly the so-called distance formula the other answer used.

Answer:

32

100-68=32

Step-by-step explanation: