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photoshop1234 [79]
2 years ago
7

The length of a rectangle is 15 inches, and its width is 10 inches. If the area must remain 150 square inches, and the length is

increased by 10 inches, by how much must the width be decreased? A) by 2 inches B) by 3 inches C) by 4 inches D) by 5 inches
Mathematics
1 answer:
Crazy boy [7]2 years ago
8 0

Answer:

3.33333

Step-by-step explanation:

You have to put:

If 15 ------------- becomes 5

then 10--------- becomes X

like this type of rule says, you should do:

(10x5)/15= 3.33333

You might be interested in
Which statements are true about the regular polygon? Select three options. The sum of the measures of the interior angles is 900
Akimi4 [234]

Answer:

The sum of the measures of the interior angles is 900° is False

Each interior angle measures 108° is True

All of the angles are congruent is True

The polygon is a regular hexagon is False

The sum of the measures of the interior angles is 180(5 – 2)° is True

Step-by-step explanation:

A pentagon is a polygon having five sides and equal angles. We can find the sum of the measures of the interior angles through 180*(n-2) where n = 5(number of sides a polygon has)

180*(5-2)= 180(3)=540°

Now the angles are 540/5 = 108°

This shows that the statement:

The sum of the measures of the interior angles is 900° is False

Each interior angle measures 108° is True

All of the angles are congruent is True

The polygon is a regular hexagon is False

The sum of the measures of the interior angles is 180(5 – 2)° is True ....

3 0
3 years ago
Read 2 more answers
Find the area of a rectangle that is 16 3/5in. by 8 9/10
Alenkinab [10]
<h2>Greetings!</h2>

Answer:

Area is 147.74

Step-by-step explanation:

You need to recall that the equation for the area of a rectangle is:

Length * Width = area

So 16 3/5 * 8 9/10 = area

Rearrange so the whole numbers are being multiplied and the fractions are too:

We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:

3/5 * 2 = 6/10

Now the two numbers can be written as 16.6 and 8.9.

Multiply both numbers by 10:

166 * 89 = 14774

Then divide this by 100 (two lots of division by 10)

14774 ÷ 1000 = 147.74

So the area of the rectangle is 147.74!


<h2>Hope this helps!</h2>
8 0
3 years ago
Which of the following sets would have a graph with an open circle on 2 and a ray pointing left on the number line?
andreyandreev [35.5K]

Answer:

{x | x∈ R, x < 2}

Step-by-step explanation:

Given

Open circle on 2

Arrow pointing left

Required

Determine the inequality

An open circle on 2 means represents either < or >

The arrow points to the left of -2 means that the number line represents numbers less than 2. i.e. < 2

Represent the numbers with x.

The inequality is: x < -2

Using proper notation, the inequality is:  {x | x∈ R, x < 2}

5 0
2 years ago
Find the domain of the function expressed by the formula:
Simora [160]

Answer:

a. Domain - x= all real numbers

b. Domain - x= all real numbers except 0

c. Domain - x= all real numbers

d. Domain - x= All real numbers

Step-by-step explanation:

The domain of a function is all the possible x values. It is easy to solve for domain by graphing the function.

a graph - blue

b graph - red

c graph - green

d graph - purple

7 0
3 years ago
Find the roots of the equation x^2+2x+5=0
stiv31 [10]

Answer:

x = - 1 ± 2i

Step-by-step explanation:

we can use the discriminant b² - 4ac to determine the nature of the roots

• If b² - 4ac > , roots are real and distinct

• If b² - 4ac = 0, roots are real and equal

• If b² - ac < 0, roots are not real

for x² + 2x + 5 = 0

with a = 1, b = 2 and c = 5, then

b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16

since b² - 4ac < 0 there are 2 complex roots

using the quadratic formula to calculate the roots

x = ( - 2 ± \sqrt{-16} ) / 2

  = (- 2 ± 4i ) / 2 = - 1 ± 2i


7 0
3 years ago
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