A garden is in the shape of a trapezium whose parallel sides are 40m and 22m and the perpendicular distance between them is 12m. Find the area of the garden

Answer: 16.25 or 16 1/4 miles a week

Step-by-step explanation:

Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.

3.25 x 5 = 16.25

yes it's correct............

Answer:

B. :>

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The formula to convert C° to F° is C = 5(F-32)

Answer:

f(x)=(x+5)(x-2)

g(x)=(2x+1)(x-2).

x=10x+2

x=3x-2

x=12×+1

x=13

A function is defined as a relation between a set of inputs having one output each.

The point of intersection between the function f(x) and g(x) is x = 4.

A function is defined as a relation between a set of inputs having one output each.

We have,

f(x) = ( x + 5 ) ( x - 2 )

g(x) = ( 2x + 1 ) ( x - 2 )

To find the points of intersection between the two functions we must equal the function.

f(x) = g(x)

( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )

( x - 2 ) gets canceled

x + 5 = 2x + 1

5 - 1 = 2x - x

4 = x

x = 4

This means that at x =4 the function f(x) and g(x) intersect.

we can see that at x = 4 both the functions have the same value.

f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18

g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )

      = 9 x 2

      = 18

Thus the point of intersection between the function f(x) and g(x) is x = 4.

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Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

The Hypotenuse-Leg theorem states that two right triangles are congruent if and only if their hypotenuses and any of their corresponding legs are congruent. That is to say:

[tex]\overline {AC} \cong \overline {DF}[/tex], [tex]\overline{BC} \cong \overline {EF}[/tex]

[tex]AC = DF, BC = EF[/tex]

[tex]\sqrt{AB^{2}+BC^{2}} = \sqrt{DE^{2}+EF^{2}}[/tex], [tex]BC = EF[/tex]

If we know that [tex]AB = 10[/tex], [tex]BC = 4[/tex], [tex]DE = 10[/tex] and [tex]EF = 4[/tex], then we have the following outcomes:

[tex]\sqrt{10^{2}+4^{2}} = \sqrt{10^{2}+4^{2}}[/tex]

[tex]4 = 4[/tex]

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

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Answer: A I think

Step-by-step explanation:1/3 ÷ 2/5=1/3×5/2

Answer:

0

Step-by-step explanation:

V-5V = -4V

-4V-5V = -9V

-9V+9V = 0

Answer:

min{-x^3 + 3 x^2 + 2017} = 2017 at x = 0

The maximum distance between them is the diameter of the circle, which is of 44 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The diameter is twice the radius, and is the maximum distance between two points on the same circle.

They are running on a circular path, modeled by:

[tex]x^2 + y^2 - 10x - 18y = 378[/tex]

Completing the squares, the equation is:

[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]

Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.

A similar problem is given at https://brainly.com/question/25008198

Answer:

irdk

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5x4=20 that gives u an idea to multiple triangle ABC to 4 to get DEF since they are similar triangles

Answer:

C

Step-by-step explanation:

Multiply 5 by 4 to get FE=20 then multiply each side by 4

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:

Location of M

[tex]\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}[/tex]

[tex]\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B[/tex]

[tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex]

Location of P

[tex]\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}[/tex]

[tex]\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M[/tex]

[tex]\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B[/tex]

[tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex]

Location of Q

[tex]\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}[/tex]

[tex]\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)[/tex]

[tex]\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B[/tex]

[tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex]

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

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Answer:

B

Step-by-step explanation:

x = the number of times he does laundry.

Let's say he does the laundry 5 times then x = 5.

Each time costs $7,50.

If you want to know how much money he has spent after 5 times, you have to calculate 5 times $7,50. 7,5 times 5 = 37.5.

M stands for how much money he still has left from the 240 dollars.

If you apply the formula it would be 'M = 240 - 7.50x (7.50 times 5) = 240 - 37.5 = 202.5'

Therefore, the correct answer is B (M = 240 - 7.50x).

Answer:

The answer is 6.

Step-by-step explanation:

If you divide 2 by 2 you get one so if you divide 12 by 2 you get 6 so the value of h is 6

Answer:

h=6 feet

Step-by-step explanation:

since the smaller figure is a ratio of 1:h and the larger one is 2:12, we can assume that the scale factor (the amount we're multiplying the sides on the smaller figure by to reach the size of the larger figure) is 2. (since 2/1 =2 and 12/2 = 6) :)

Answer:

56

Step-by-step explanation:

Answer:

Simplifying

4x + -6 = 2(2x + 3)

Reorder the terms:

-6 + 4x = 2(2x + 3)

Reorder the terms:

-6 + 4x = 2(3 + 2x)

-6 + 4x = (3 * 2 + 2x * 2)

-6 + 4x = (6 + 4x)

Add '-4x' to each side of the equation.

-6 + 4x + -4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-6 + 0 = 6 + 4x + -4x

-6 = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-6 = 6 + 0

-6 = 6

Solving

-6 = 6

Answer:

Question 5 options: (4, 4) (1, 1) (3, 1) (10, 4)

Step-by-step explanation:

Answer:

hope it helps.....................

Answer:

Remainder=190

(13 with a remainder of 190)

Step-by-step explanation:

the remainder is the amount leftover after the division. Usually it is swapped with decimals.

Step-by-step explanation:

given the linear inequality y >2x-1 on the coordinate plane.

the true statement is:

C. The graph will have a DASHED boundary line, with shading ABOVE.

for '>' meaning dashed line

Answer:

C. The graph will have a DASHED boundary line, with shading ABOVE.

Step-by-step explanation:

When graphing inequalities:

Given inequality:

[tex]y > 2x-1[/tex]

Therefore, the graph will have a dashed boundary line and shading above the line.

Learn more about graphing inequalities here:

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Answer:

that  be 34 because you multiply

Step-by-step explanation:

Here let's use python to find our median.(Console attached)

Spare way:-

Let's use statistics

[tex]\\ \sf\longmapsto Median=\dfrac{n}{2}+\dfrac{n+1}{2}[/tex]

[tex]\\ \sf\longmapsto Median=\dfrac{10}{2}+\dfrac{10+1}{2}[/tex]

[tex]\\ \sf\longmapsto Median=5th+6th/2[/tex]

Order from largest to smallest

[tex]\\ \sf\longmapsto Median=\dfrac{150+149}{2}[/tex]

[tex]\\ \sf\longmapsto 149.5[/tex]

Answer:

It would be $390 for the 4 hours and the cleaning fees. And the slope would be -13 if you are going from 12 to 7 but would be 13 if you are going from 7 to 12...

Step-by-step explanation:

Answer:

y = 7/9x - 87/9

Step-by-step explanation:

9y = 7x-4

y = 7/9x - 4/9

-5 = 7/9(6) + b

-45/9 = 42/9 + b

b = -87/9

Answer:

the awnser is 2

Step-by-step explanation:

Answer:

5/11 = 0.45454545......

so, option c.

Answer:77

Step-by-step explanation:

Answer:

-5a+a

= -4a

Step-by-step explanation:

mark me brainlist

Answer:

Only the position changes with translation. Other measures, including slope and length, remain the same.

Step-by-step explanation:

Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original