The distance from my home to my school is 4 miles. If I can walk at an average rate of 3 miles per hour, how many minutes should it take to walk from home to school?

9514 1404 393

Answer:

  382 cm²

Step-by-step explanation:

The side facing is a trapezoid with bases 8 and 14 cm, and height 7 cm. Its area is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(8 +14)(7) = 77 . . . . cm²

The perimeter of the face is ...

  7 cm + 8 cm + 9 cm + 14 cm = 38 cm

The total surface area is the sum of the lateral area and the base area.

  SA = LA + BA

  SA = (38 cm)(6 cm) + 2×(77 cm²) = 228 cm² + 154 cm²

  SA = 382 cm²

The surface area of the composite figure is 382 square centimeters.

_____

Additional comment

The lateral area is the width of a rectangular face (6 cm) times the total of all of the lengths of those faces. That total is the perimeter of the trapezoidal base (38 cm).

There are two trapezoidal bases that contribute area. The first calculation figured the area of one of them.

Answer:

(-2,2) and (-3,-4)

Step-by-step explanation:

by graphing the line and parabola, you should get this graph

Answer:

is 84

Step-by-step explanation:

why aronou much and yes so many sorry

Answer:

It cannot be 0

Step-by-step explanation:

it can also be positive number :2/4

it can be odd number too:3/9

it is bigger than numerator bcoz we have to divide it for numerator

So, 0 number cannot be put as denominator in fraction is true statement

If y (0) = -1/3, then

-1/3 = 1 / (1 + C e ⁻⁰)

Solve for C :

-1/3 = 1 / (1 + C )

-3 = 1 + C

C = -4

So the particular solution to the DE that satisfies the given initial condition is

[tex]\boxed{y=\dfrac1{1-4e^{-x}}}[/tex]

The exact amount of oil that leaks out for 0 ≤ t ≤ 10 is given by the integral,

[tex]\displaystyle\int_0^{10}r(t)\,\mathrm dt[/tex]

Then the upper and lower estimates of this integral correspond to the upper and lower Riemann/Darboux sums. Since r(t) is said to be decreasing, this means that the upper estimate corresponds to the left-endpoint Riemann sum, while the lower estimate would correspond to the right-endpoint sum.

So you have

• upper estimate:

(8.8 L/h) (2 h - 0 h) + (7.6 L/h) (4 h - 2h) + (6.8 L/h) (6 h - 4h) + (6.2 L/h) (8 h - 6h) + (5.7 L/h) (10 h - 8 h)

= (2 h) (8.8 + 7.6 + 6.8 + 6.2 + 5.7) L/h)

= 70.2 L

• lower estimate:

(7.6 L/h) (2 h - 0 h) + (6.8 L/h) (4 h - 2h) + (6.2 L/h) (6 h - 4h) + (5.7 L/h) (8 h - 6h) + (5.3 L/h) (10 h - 8 h)

= (2 h) (7.6 + 6.8 + 6.2 + 5.7 + 5.3) L/h)

= 63.2 L

Answer:

50 ft

Step-by-step explanation:

For this problem we will use the Pythagorean theorem which is: a^2+b^2= c^2

I found the length for both of the legs on this triangle which are: 30 ft (for the side on the far left) and 40ft (for the other leg of the triangle whose hypotenuse is the walkway).

Now that we know the two legs we can use the Pythagorean theorem:

40^2 + 30^2 = 2500

then take the square root of 2500 in order to find the hypotenuse length:

Square root of 2500= 50ft

plz consider marking me as brainliest, it truly helps me!

Answer:

50ft

Step-by-step explanation:

trust me on this answer

9514 1404 393

Answer:

  a.  12 cm

  b.  90°

  c.  60°

Step-by-step explanation:

The relevant relationships are ...

__

a) The perimeter, 48 cm, is the sum of four equal side lengths, so any given side is (48 cm)/4 = 12 cm.

  GH = 12 cm

__

b) Angle EJF is where the diagonals meet. It is a right angle.

  ∠EJF = 90°

__

c) Angle EFJ is the complement of the one marked, so is 30°. Angles EHJ and GHJ are congruent to that, so both are 30°. Angle EHG is the sum of those two congruent 30° angles, so is ...

  ∠EHG = 60°

Answer:

117.8 in.

Step-by-step explanation:

To find the perimeter, add all the side lengths together. If we do that, we get 117.8 in, which is the answer.

9514 1404 393

Answer:

  6 units

Step-by-step explanation:

The dilation factor is 2, so the length of A'B' will be 2 times the length of AB.

AB can be seen to be 3 units, so A'B' will be 2×3 = 6 units.

9514 1404 393

Answer:

  140°

Step-by-step explanation:

The long arc intercepted by angle c is 360° -80° = 280°. The measure of inscribed angle c is half the measure of the arc it intercepts.

  c = 280°/2 = 140°

Answer:

a) Average age of girls is also 151.

b)  [tex]h_{10}=144cm[/tex]

Step-by-step explanation:

From the question we are told that:

Average height of the boys at age [tex]h_9= 137 cm[/tex]

Average height of the boys at age [tex]h_11= 151 cm[/tex]

a)

Since

The average height of all the children was 151 cm.

This implies that The average height of all children is 151

Therefore

Average age of girls is also 151.

b)

Assuming all factors being equal

Height of 10 year old boy

[tex]h_{10}=\frac{h_9+h_11}{2}[/tex]

[tex]h_{10}=\frac{137+151}{2}[/tex]

[tex]h_{10}=144cm[/tex]

Therefore my Guess is

[tex]h_{10}=144cm[/tex]

Answer:

i cant see it good

Step-by-step explanation:

prob its me

Answer:

Hello,

I don't know the words used for that binominal exercice.

Step-by-step explanation:

The probability that the waiter will drop exactly four of the next ten is 0.2

Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.

Now it is given that,

Waiter drops hamburgers = 30%

Therefore, Probability of drop, p = 0.3

Now For the next ten,

⇒ number of trials, n = 10

⇒ q = 1 - p = 1 - 0.3

⇒ q = 0.7

Thus, probability that he will drop exactly four of the next ten,

P(x = x) = nCx * p^x * q^(n-x)

For exactly 4, x = 4

⇒ P(x = 4) = ¹⁰C₄ * 0.3^4 * 0.7^(10 - 4)

⇒ P(x = 4) = 210*0.0081*0.1176

⇒ P(x = 4) = 0.2

Thus, the probability that the waiter will drop exactly four of the next ten is 0.2

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https://brainly.com/question/15237279

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Answer:

This rotational symmetry has 4 or more order .

OAmalOHopeO

9514 1404 393

Answer:

  B.  1

Step-by-step explanation:

The figure has no symmetry, so only maps to itself with 360° of rotation.

The order of rotational symmetry is 1.

Answer:

-3<x≤4

Step-by-step explanation:

Answer:

4 [tex]\geq[/tex] x > -3

Step-by-step explanation:

I just put the written form into inequality form.

b(8b+7)

Answer:

Solution given;

8b²+7b

let look what is common there;

8*b*b+7*b

over here b is common

take common and keep other remaining on bracket

b(8b+7)

In a simple way b(8b+7) is a factorise form of

8b²+7b

Answer:

The slope is undefined.

Step-by-step explanation:

The line must pass through the points (10,-3) and (10,-8), meaning that it must be vertical. The slope of a line is undefined if the line is vertical.

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

Answer:

5

Step-by-step explanation:

trust

Answer:

The point is a solution

Step-by-step explanation:

y = x^2

Substitute the point into the equation and see if it is true

0 = 0^2

0=0

True

15,068 mi/hr

Step-by-step explanation:

[tex]22100\:\frac{\text{ft}}{\text{s}}×\frac{1\:\text{mi}}{5280\:\text{ft}}×\frac{60\:\text{s}}{1\:\text{min}}×\frac{60\:\text{min}}{1\:\text{hr}}[/tex]

[tex]=15,068\:\text{mi/hr}[/tex]

The speed of 22100 feet per second will be 15068.18 miles per hour.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Unit conversion is the expression of the same property in a different unit of measurement. Time, for example, can be expressed in minutes rather than hours, and distance can be converted from miles to kilometres, feet, or any other length measurement.

Given that the speed of the satellite is 22100 feet per second. The speed in miles per hour will be calculated as,

22100 ft /s = ( 22100 x 3600 ) / 5280

22100 ft/s = 79560000 / 5280

22100 ft/s = 15068.18 miles per hour

To know more about unit conversion follow

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Explanation:

Focus entirely on the triangle on the right side. The other parts of the drawing are not necessary. In my opinion, they are distracting filler.

Refer to the diagram below.

We have an unknown adjacent side, let's call it x, that's along the horizontal part of the triangle.

The hypotenuse however is known and it is 19 ft

We use the cosine ratio to tie the two sides together

cos(angle) = adjacent/hypotenuse

cos(75) = x/19

19*cos(75) = x

x = 19*cos(75)

x = 4.9175618569479 which is approximate

x = 4.9

The base of the ladder is roughly 4.9 feet away from the base of the house.

Side note: make sure your calculator is in degree mode.

Answer:

{(121, 63), (180, 71), (140, 67), (108, 65), (165, 72)}

Step-by-step explanation:

We have:

Weight as a function of height.

Give the points for these students that represent height as a function of weight:

Inverse of the input, that is, in the (x,y) format, (x,y) -> (y,x), the coordinates are exchanged, and thus, the correct option is:

{(121, 63), (180, 71), (140, 67), (108, 65), (165, 72)}

Answer:

[tex](12\frac{1}{3} *2)+(10\frac{3}{4} *2)\\\\=(\frac{12(3)+1}{3} *2)+(\frac{10(4)+3}{4} *2)\\\\=\frac{37*2}{3} +\frac{43*2}{4} \\\\=\frac{74}{3} +\frac{86}{4} \\\\=\frac{74(4)+86(3)}{3*4} \\\\=\frac{296+258}{12} \\\\=\frac{554}{12}[/tex]

Answer:

Step-by-step explanation:

To make this is as easy as possible: a relation is a function if the coordinates don't share an x value. For example, look at the table in B. There is an x value of -1 used twice. That is not a function. Look at C. There are 2 points located at x = -1 (-1, 1) and (-1, -5) are the coordinates. C is not a function. Look at D, made up of coordinate pairs. There are 2 coordinate pairs that have x values of 3; this is not a function. A is a function.