Mathematics High School

If the area of a rectangle is

(15x^2 - 16x - 15) square feet,

and its length is (3x - 5) feet,

find its width.

Answers

Answer 1

Answer:

Width = 5x +3

Step-by-step explanation:

15x² - 16x - 15  =  15x² - 25x +  9x  - 3 *5

                       = 5x(3x - 5) + 3(3x - 5)

                      = (3x - 5)(5x + 3)    

Width = [tex]\frac{Area}{length}[/tex]

          [tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]

Related Questions

help me fast and i'll mark you brainliest please

Answers

Step-by-step explanation:

[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]

If $20.18 Pesos is equal to $1 US dollar, tell me how much money Mr. P would have left if he had $100 US Dollars but spent $918 Pesos in groceries this past Christmas in Mexico with his family.
​

Answers

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?

Answers

Answer:

I don't know what is your name is your

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

what is the answer to this
[tex]72 \div 9[/tex]
​

Answers

the answer to 72\9 = 8 (:
72/9 is 8 if u do 45/9 which is 5 just keep going up nine till u go to 72

Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.​

Answers

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars


find the exact value of x.

Answers

Answer:

9*√3

Step-by-step explanation:

The exact value of Sin60 = √3/2

Sin(60)  = opposite side/ hypotenuse

hypotenuse = 18

√3/2 = x / hypotenuse

√3 / 2 = x / 18     multiply by 18

18 √3 /2 = x        divide by 2  

9 √3   = x

please helpp solve!!

Answers

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

4x+15=75 in a number line

Answers

Answer:

x= 15

Step-by-step explanation:

4x+15=75

4x = 60

x = 15

Ms. Abreau is flying to Florida for the 90° Angle Conference, where the temperature s just right. Her plane is 1200 feet in the air and the runway is 3400 feet horizontally away. What is the angle of depression formed from the plane to the runway ? Round to the nearest tenth if necessary and just the number please in your answer, we know it is degrees.

Answers

Answer:

19.4 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

Given

Height of plane from the ground= 1200 = adjacent

Horizontal distance = 3400ft = Adjacent

Required

angle of depression theta

tan theta = opp/adj

tan theta = 1200/3400

tan theta = 12/34

tan theta = 0= arccos.3529

theta=  (0.3529)

theta = 19.4 degree

Hence the angle of depression is 19.4 degrees

SOME ONE HELP PLZZ Find the answers to the following multiplication problems without using a calculator. Reduce
the product to their lowest terms and change improper fractions to mixed numbers.
3/4 x 7/8

Answers

3/4= 6/8
6/8 x 7/8
21/32

Find the area. The figure is not drawn to scale. Hint: Find the sum of the areas of 2 triangles and 2 parallelograms.
Select one:
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these

Answers

Answer:

d. None of the above

Step-by-step explanation:

✔️Area of triangle 1 = ½*b*h

b = 11 in.

h = 3 in.

Area of triangle 1 = ½*11*3 = 16.5 in.²

✔️Area of triangle 2 = ½*b*h

b = 8

h = 9

Area of triangle 2 = ½*8*9 = 36 in²

✔️Area of parallelogram 1 = b*h

b = 11 in.

h = 9 in.

Area of parallelogram 1 = 11*9 = 99 in.²

✔️Area of parallelogram 1 = b*h

b = 9 in.

h = 11 in.

Area of parallelogram 2 = 9*11 = 99 in.²

✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²

Find the product. Simplify the answer. 3/5 x 2/4 *

Answers

Answer:

3/10

Step-by-step explanation:

3/5 x 2/4

2/4 = 1/2

3/5 x 1/2

3 x 1 = 3

5 x 2 = 10

3/5 x 2/4 = 3/10

Plzzz helpppp itssss urgentt!!!!!!!!

Answers

Answer:

4) 40 Square inches

Step-by-step explanation:

You do 2 x 4 then divide by 2. after that you multiply by 4.  Then you add the square which is 2 x 2

need help to Find the apothem.​

Answers

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

if f(x)= 5x -7, what is f(3)?

Answers

Answer:

8

Step-by-step explanation:

f(x) = 5(3) - 7

f(x) = 15 - 7

f(x) = 8

Can you help me with these two? Sorry!

Answers

Answer:

3. second

4. first

Step-by-step explanation:

3) B so it will be the second one

4) A it’s the first one




Hope this helps :)

What is the area of figure plz help

Answers

the area of the figure is 113

will mark brainliest and rate 5/5

Answers

Answer:

Option D, $2.71

Step-by-step explanation:

Step 1:  Figure out the height

[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]

[tex]29.16 + b^{2} = 295.84[/tex]

[tex]b^{2} = 266.68[/tex]

[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]

[tex]b = 16.33[/tex]

Step 2:  Figure out the area

[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]

[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]

[tex]A = 454.77[/tex]

Step 3:  Figure out the price

[tex]454.77 * 0.006[/tex]

[tex]2.72862[/tex]

Answer:  Option D, $2.71

Answer is D. 2 dollars and 71 cents .

What is the length of YX?

Answers

Answer:

hi

Step-by-step explanation:

hi

Answer:

4cm.

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

A
B
What is the distance between Points C and
D?
-4 units
4 units
6 units
2 units
Math homework PLS HELP What is the distance between points C and D?

Answers

6 units Foo
Explanation
Cause it’s just 6 units

Suppose you deposited ​$200 in a savings account 4 years ago. The simple interest rate is 2.1%. The interest that you earned in those 4 years is ​$16.80. Which of the following​ is/are true? Select all that apply.
A. r = 2.1%
B. t = 4
C. p = 16.80
D. l = 200

Answers

Maybe A???? Not totally sure

I'll give u brainliest if u answer it

Answers

Answer:

i think its A

Step-by-step explanation:

But if i am incorrect i apologize

1
0. Multi-Step Nathanial has a dog walking
business. He charges $3 for every 15 minutes
of walking. How much will Nathanial charge to
walk a dog for one hour?

Answers

Answer:

Nathanial will charge $12

Step-by-step explanation:

If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.

As an estimation we are told 5 miles is 8km convert 112km to miles

Answers

Answer:

69.5935735 miles or about 70 miles

Step-by-step explanation:

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• 2.5 below sea level

Answers

Answer:

Step-by-step explanation:

uh anymore info??

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

3w+16>6+4w

I’ll mark brainless

Answers

Answer:

w<10

Step-by-step explanation:

 I am really tired and I dont feel like showing all my work, unless you want me to then just ask

Answer:

3w+16=0>6+4w=0

3w=-16>4w=-6

w=-16/3>w=-6/4

w=-16/3>w=-3/2

Help ASAP

I’ll mark brainless

Answers

Answer:

C

Step-by-step explanation:

it lacks the inequality signs

Write an equation in point-slope form of the line that passes through the point (
3,-1)
and has a slope of -2

Answers

Answer:

Look below.

Step-by-step explanation:

Point slope fromula: y-y1=m(x-x1)

First we have to plug in our points and slope into the formula.

3 will be plugged into x1 while -1 will be plugged into y1.

Since m represents slope we will plug in -2 into m.

Answer: y+1=-2(x-3)

James works on his math work for 7/8 of an hour. He works on his science for 5/8 of an hour. How much longer does James work on math than on science? Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

1/4

Step-by-step explanation:which is 2/8 simplified

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