A rectangle has an area of 315 cm² . If the length is increased by 2 cm and the width is
decreased by 2 cm, the area would decrease by 21 cm² Find the dimensions of the original
rectangle (Round your answer to 3 significant figures where necessary.)​

Answer:

90

Step-by-step explanation:

you have to multiply A B and C and you should get 90

i think i'm right

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

The relation is proportional ⇒ Graph of y = 3x goes through origin

So the answer is (B)

Answer:

This doesn’t add up because the hypotenuse is supposed to be the longest side

Step-by-step explanation:

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

Answer:

I think answer is C. 4

Step-by-step explanation:

8:2=4

Answer:

naniiiiiiiiiiiiiiiiiiiiii

Answer:

uhmmuhmmmmmmmmuhmmmm

The time the bus should arrive at School Road from Hope Street is 08 : 04.

The time of the latest bus that Jo can catch from the Bus Station is 07 00.

The time the bus takes to travel from the bus station to School Road is 14 minutes.

The table shows that when a bus leaves for School Road from Hope Street,  at 07 54, it will arrive on School Road at 08 04.

The time it takes from the bus station to School road is:

= Arrival time at school road - Departure time from Bus station

= 08 04 - 07 50

= 14 minutes

If Jo wants to be in school road at 8 am by the latest, she needs to leave before :

= 8 am - 14 minutes

= 07 46

The only bus leaving before this time is the 0700 bus from the Bus Station.

Find out more on bus stations at https://brainly.com/question/13209100

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Answer:

ok I will help you because I am a nice person:)

Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.

Hope this helps :)

Answer:

60%

Step-by-step explanation:

I know it is

Answer:

60

Step-by-step explanation:

5 percent (calculated percentage %) of what number equals 3? Answer: 60.

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

​

Answer:

It is safe

Step-by-step explanation:

Using trigonometry :

Cosθ = adjacent / hypotenus

Hypotenus = length of ladder = 12 feets

Adjacent = distance between ladder and wall = 3 feets

Cosθ = 3 /12

Cosθ = 0.25

θ = cos^-1(0.25)

θ = 75.522°

To be safe ladder must be between (70 - 85)°

Sijce ladder is at an elevation of 75.22° ; then it is safe.

Answer:

Step-by-step explanation:

Given,

Marks of the four exams = 65, 80, 76, 68

Let the mark for the fifth exam be = x

Mean of the five exams = 70

Therefore,

By the problem,

[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]

[tex] = > \frac{289 + x}{5} = 70[/tex]

=> 289 + x = 70 × 5

=> 289 + x = 350

=> x = 350 - 289

=> x = 61

Hence,

Marks of the fifth exam is 61 (Ans)

Answer:

The discount takes $25 dollars off

Step-by-step explanation:

So yes, he'll pay $100 after the discount is applied

Answer:

25 dollars

Step-by-step explanation:

125 - 100= 25

50×100÷110=45.454545r6

Answer:

x= -17/8

Step-by-step explanation:

1 step: take care of the parentheses ( multiply -2 to what is on parentheses)

so x -8x +6 =-12-14x

2 step : move all number with x to the left side

x-8x +14x = -12 -6

7x = -18

x = -18/7

Answer:

$33

Step-by-step explanation:

You do $660 • 0.025

You have to bring the decimal two places to the left for finding the decimal point.

So you'd get 16.5.

But there's two years. So times it by two.

So it's 33.

Hope this helps

Answer:

x=9,−19

hope this is fast enough

Answer:

I think X=9

Hope this helps :)

Answer:

30 gray 12 pink

Step-by-step explanation:

if you put 60$ in each the gray will be (60:2= 30) and the pink will be (60:5=12)

Answer:

7m^2n (i think)

Step-by-step explanation:

Answer:

angle B = 66.42

Step-by-step explanation:

cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos-1 B = [tex]\frac{2}{5}[/tex]

cos-1 B = 0.40

cos-1 of 0.40 is 66.4218

round to the nearest hundreth = 66.42

angle b = 66.42

Answer:

Below.

Step-by-step explanation:

First find the perpendicular  height of the pyramid.

The median of one of the faces, the height and  and half the length of the square base make a right triangle with base 2 and hypotenuse 5, so using the Pythagoras theorem:

5^2 = 2^2 + h^2

h^2 = 5^2 - 2^2 = 21

h = √21 inches.

The volume of the pyramid V = 1/3 * h * area of the base, so

V = 1/3 * 4^2 * √21

= 24.44 in^3 to nearest hundredth.

The volume of a right square pyramid will be (16√21) / 3 cubic units.

Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.

Then the volume of the pyramid will be

Volume = (1/3) × A × h

The slant height is given as.

l² = (half of side)² + h²

A right square pyramid has a slant height of 5 inches and the length of the base is 4 inches.

Then the height of the pyramid will be

5² = (4/2)² + h²

h² = 25 - 4

h = √21 inches

Then the volume of a right square pyramid will be

Volume = (1/3) × 4 × 4 × √21

Volume = (16√21) / 3

Thus, the volume of a right square pyramid will be (16√21) / 3 cubic units.

More about the volume of the pyramid link is given below.

https://brainly.com/question/17615619

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Answer:

3.5 miles assuming terry rode his bike 1 mile in 6 minutes

Step-by-step explanation:

Answer:

I'm confused on what the question was or are you just making sure it's correct

Answer:

Your statement is correct

Step-by-step explanation:

400 miles/10 hours = 40miles/hour

Answer:

10/1

Step-by-step explanation:

You do

6÷ 3/5

Flip the 3/5 then multiply

6 ° 5/3

Reduce the numbers with the greatest common factor 3

So 2•5

And that's 10

Ans is 10.

The numbers in 6 divided by 3/5 are labeled below:

6 = whole number

3 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 5/3 = 30/3

Thus, the answer to 6 divided by 3/5 in fraction form is:

30/3

To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

30 / 3 = 10

The answer is rounded to the nearest two decimal points if necessary.

30/3 can be simplified to 10/1.

10/1 is an improper fraction and should be written as 10.

Answer: -26+3x

-5×4+3×-6​

Simplifies to:

-20+3x-6

Answer:

It is already in the correct order