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2 years ago

Work out ( 8x10 -3) x(2x10 -4) standard form

Mathematics

1 answer:

zheka24 [161]2 years ago

4 0

Answer: 1232

Step-by-step explanation: ( 8x10 -3) x(2x10 -4)

( 8x10 -3) = 77

(2x10 -4) = 16

77 x 16 = 1232

Answer = 1232

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What is the area of parallelogram RSTU? 21 square units 24 square units 28 square units 32 square units

Debora [2.8K]

Answer: 21 square units

Step-by-step explanation:

We know that the area of parallelogram is given by:-

$A=height\times base$

Let US denote the height of the Parallelogram RSTU with corresponding base ST.

By counting the distance between the points using grids or by distance formula,

US= $|4-(-3)|=|7|=7\ units$

ST= $|-1-(-4)|=|-1+4|=|3|=3\ units$

Now, the area of parallelogram RSTU is given by:-

$A=7\times3=21\ \text{square units}$

7 0

2 years ago

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Hari borrowed Rs. 126000 from a money-lender at 15% per annum simple interest,

amid [387]

Answer:

Rs. 112000

Step-by-step explanation:

Borrowed money = Rs. 126000
Interest rate = 15% PA simple
Time = 3 years

Hari is due to pay after 3 years:

126000* (1+ 3*15/100) = 182700

He pays Rs. 70700, remaining money is cleared by giving buffalo.

Cost of buffalo:

182700 - 70700= Rs. 112000

Answer is: Rs. 112000

7 0

2 years ago

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Sara has 20 sweets.

nalin [4]

Answer:

The probability that the two sweet will not be same type is $\frac{111}{190}$

Step-by-step explanation:

P(two sweets not same) = 1 - P( two sweets will be same)

There are 3 possible outcomes where two sweets will be same.

1. it can be two liquor-ice, 2. it can be 2 mint and 3. it can be two humbug

P(two liquor-ice) $=\frac{12}{20} \times\frac{11}{19}= \frac{33}{95}$

P(two mint) $=\frac{5}{20} \times \frac{4}{19} =\frac{1}{19}$

P(tow humbug) $=\frac{3}{20} \times\frac{2}{19} =\frac{3}{190}$

Now we have:

P(two sweets not same) = 1 - P( two sweets will be same)

$=1- \left(\frac{33}{95}+ \frac{1}{19}+ \frac{3}{190} \right)$

$1-\frac{79}{190}$

$=\frac{111}{190}$

Therefore, the probability that the two sweet will not be same type is $\frac{111}{190}$

3 0

2 years ago

A quadrilateral has vertices A(3,5), B(2,0), C(7,0) and D(8,5). Which statement about the quadrilateral is true?

ioda

Answer:

ABCD is a rhombus with non-perpendicular adjacent sides

Step-by-step explanation:

A rhombus is a quadrilateral with four sides equal in length and non-perpendicular adjacent sides.

In the given case, when we plot the quadrilateral having vertices A(3,5), B(2,0), C(7,0) and D(8,5) then the length of each side comes out to be 5 i.e.

AB=BC=CD=AD=5

hence given quadrilateral ABCD is a rhombus with non-perpendicular adjacent sides.

3 0

2 years ago

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Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points

Kisachek [45]

we know that

the equation of the line in the point -slope form is equal to

$y-y1=m*(x-x1)$

in this problem we have

$m=2\\point (x1,y1)=(0,3)$

substitute the values in the formula

$y-3=2*(x-0)$

$y=2x+3$

therefore

the answer is

$y=2x+3$

7 0

2 years ago

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