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3 years ago

HI can you help me with this question

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

42 square centimeters

Step-by-step explanation:

The total of sides FA and AB will be half the perimeter of the rectangle, or 14 cm. Since AB is 9 cm, that means FA is 5 cm.

EF is the difference between EF and FA, so is 11 cm -5 cm = 6 cm.

FC is the same 9 cm length as AB, so we have enough information about the trapezoid to use the area formula:

A = (1/2)(b1 +b2)h

A = (1/2)(9 cm +5 cm)(6 cm) = 42 cm^2

The area of the trapezium is 42 cm^2.

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You and your best friend are meeting at

chubhunter [2.5K]

Answer:

10.6 miles

Step-by-step explanation:

The corner where Starbucks is located could be considered to be the right angle in a right triangle having legs of 8 miles (distance to you) and 7 miles (distance to your friend). The straight-line distance (d) from you to your friend is the hypotenuse of that triangle. Its length can be found from the Pythagorean theorem.

d² = 8² +7²

d² = 64 +49 = 113

d = √113 ≈ 10.6

You and your friend are about 10.6 miles from each other.

4 0

2 years ago

Can you help me with this...thank you

mr_godi [17]

You solve by with by altitude! Hope it helps

3 0

2 years ago

Read 2 more answers

Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of

alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

- The standard form of the linear equation is Ax + BC = C, where

A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

parallel bases and which of them are the non-parallel bases

# The side RS

∵ $m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}$

# The side ST

∵ $m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}$

# The side TU

∵ $m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}$

# The side UR

∵ $m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}$

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

∵ The midpoint of RS = $(\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})$

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

midpoint of RS

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

7 0

3 years ago

Carl wants to buy a television that cost $500 including taxes to pay for the television he will use a payment plan that requires

ozzi

Answer:

41%

Step-by-step explanation:

Given the cash price is $500, the hire purchase price is calculated by summing the installment and down-payment:

$Hire \ Purchase \ Price=Installments +Downpayments\\\\=8\times 72.50+125\\\\=705$

#Percentage increase in price is the difference between the hire purchase price and list price as a percentage of the list price:

$\bigtriangleup Price=705-500\\\\=205\\\\\%\bigtriangleup Price=\frac{\bigtriangleup Price}{500}\times 100\%\\\\\\=\frac{205}{500}\times100\%\\\\=41\%$

Hence, the % increase in price is 41%

7 0

3 years ago

What is the answer 51% of 128

Jobisdone [24]

Multiply 51% times 128 and u get 128

5 0

3 years ago