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2 years ago

The length of a rectangle is 7 inches longer than its width. If the area of the

Mathematics

2 answers:

elixir [45]2 years ago

7 0

I’m just here so I could ask a question

olasank [31]2 years ago

7 0

Let’s represent the length of the rectangle as x and the width as y.
So always try to make a relationship between the unknowns so you don’t have a lot of variables
Now
The length of the triangle could be represented by width+7=length in other words y+7=x
So you could substitute x in the equation of x*y=144
(Y+7)(y)=144
So y^2+7=144
Y=11.7 x=18.7

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If a new college graduate wants a car costing $21,000, how much must be saved annually over the next four years if the funds ear

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I'm assuming the funds earn 5% yearly?

Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).

Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.

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2 years ago

Crystal's soccer team won 14 of the 20 games they played last season. What percent of games played did they win?

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Answer:

70%

Step-by-step explanation:

hooe this helps plz follow ❤❤

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2 years ago

Which triangle can be drawn as it is described?

yawa3891 [41]

Answer:

An isosceles triangle with angles measuring 20° and 80°

Step-by-step explanation:

Verify each case

case A) Scalene triangle with angles measuring 110° and 35°

Is not a scalene triangle because the third angle is (180-110°-35°=35°), therefore is an isosceles triangle

case B) An obtuse triangle with sides measuring 5,10 and 15

we know that

Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so in this problem

$5+10> 15$ -----> is not true

therefore

with these measurements can not draw any triangle

case C) An isosceles triangle with angles measuring 20° and 80°

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem the third angle is (180-20°-80°=80°),

therefore

is an isosceles triangle and can be drawn as it is described

case D) An acute triangle with sides measuring 7,4 and 2

we know that

Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so in this problem

$4+2> 7$ -----> is not true

therefore

with these measurements can not draw any triangle

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3 years ago

Write f(x) = 2x2 – 44x + 185 in vertex form.

forsale [732]

Answer:

Step-by-step explanation:

$f(x)=2x^2-44x+185\\\\=2(x^2-2*11*x)+185\\\\=2(x^2-2*11*x+11^2)+185-2*121\\\\\boxed{f(x)=2(x-11)^2-57}\\\\vertex\ is\ (11,-57)$

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2 years ago

Read 2 more answers

Pleaseee help me....what will the y-coordinate of b' if ab is dilated by a factor of 2/5, centered at the origin. A=(2,2) B=(10,

sdas [7]

Answer:

The y-coordinate of B' is equal to 2

Step-by-step explanation:

step 1

Find the distance of AB

$AB=10-2=8\ units$

step 2

Find the length of A'B'

Multiply the length of AB by the scale factor

$A'B'=8*\frac{2}{5}= 3.2\ units$

step 3

Find the midpoint AB

$M=(\frac{2+10}{2},\frac{2+2}{2} )$

$M=(6,2)$

step 4

<em>Find the x-coordinate of B'</em>

The x-coordinate of B' is equal to the x-coordinate of midpoint plus the semi distance A'B'

$6+\frac{3.2}{2}=6+1.6=7.6$

<em>Find the y-coordinate of B'</em>

The y-coordinate of B' is equal to 2 (because is a horizontal line)

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3 years ago

Read 2 more answers