The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10

Answer:

$101.61

Step-by-step explanation:

33.87 times 3 = 101.61

Answer:

She spent $101. 61 on CD's

Step-by-step explanation:

You need to multiply 33.87 by three since she spent three times as much.

Answer:

20ft

Step-by-step explanation:

The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Consider the diagram below.

We've got:

The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.

Using Pythagoras theorem in it, we get:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft[/tex]

But as length cannot be a negative quantity, so we get:

[tex]|AB| = 20\sqrt{2} \: \rm ft[/tex]

Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2

Answer:

Slope = 2

Step-by-step explanation:

[tex]\frac{-8-8}{-6-2}=\frac{-16}{-8}=2[/tex]

Answer:

2

Step-by-step explanation:

Answer: b - 9 = 7.

Step-by-step explanation:

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52

Answer:

yes number one yes the second one 2/5

Step-by-step explanation:

Answer: ok little Timmy

Step-by-step explanation:

1 = yes

2 = 10

Answer:

3x-6+1

Step-by-step explanation:

I know algebraaaaaa

Answer:

A) 3:9 => 1:3

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Step-by-step explanation:

The simplest form of the ratios are as follows:

A) 3:9

Dividing the ratio by 3

1:3

B) 12:36

Dividing the ratio by 12

1:3

C)13:39

Dividing the ratio by 13

1:3

D) 71:213

Dividing the ratio by 71

1:3

E) 142:213

Dividing the ratio by 71

2:3

F) 38:57

Dividing the ratio by 19

2:3

G) 33:44

Dividing the ratio by 11

3:4

H) 31:42

The ratio is already in simplest form as 31 and 42 don't have a common multiple.

Or it might be mistakenly typed 31 instead of 21

Then the simplest form will be:

21:42

1:2

Hence,

A) 3:9 => 1:2

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

Answer:

60!

Step-by-step explanation:

100% is 40

to increase that by 50, do 1.5 times 40

the answer to that is 60

Answer:

answer: 504 blooms <3

Step-by-step explanation:

if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

Answer:

5) A

6) D

Step-by-step explanation:

for 5) I did just looked up online

2.5% of 25,000

and I added it to 25,000

which was 26,265.625

so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21

for 6) I did similar to 5) but I used the numbers that were given

I looked up 4% of 1,250 and I did that twice and got $1,352.55

hope that helped ;)

Answer:105

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8x-1+3x+4+3x+9=180

14x+12=180

14x=180-12

x=168/14

x=12

Answer:

8x-1+3x+9+3x+4=180

8x+3x+3x=180+1-9-4

14x=168

x=12

Step-by-step explanation:

Answer:

The answer would be 466.24

466.24 hope this helps you

Answer:

-4/3

Step-by-step explanation:

2^(8x-8)=4^7x

2^8x-8=4^7x

2^8x-8=4^2×7x

8x-8=2×7x

8x-8=14x

-8=14x-8x

-8=6x

-8/6=x

-4/3=x

x=-4/3

Answer:

8.88

Step-by-step explanation:

With reference angle 42°

hypotenuse (h) = 12

base (b) = x

Now

cos 42° = b / h

0.74 = x / 12

x = 0.74 * 12

x = 8.88

Answer:

the answer is 48 I think

Step-by-step explanation:

I did it by sub 90 and 42

Answer:

Ok what you need help with. Were u going to post a picture?

Step-by-step explanation:

I'll help you.

Answer: 525

Step-by-step explanation:

450+15+60=525

Answer:

The cost of each ticket is $30.

Step-by-step explanation:

$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.

450 ÷ 15 = 30

Answer:

i need this for a challenge

Step-by-step explanation:

Answer:

the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40

Hope you do good :)

Answer:

180°

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°

Answer: 38

Step-by-step explanation:

3.8=19/5

u have to flip the reciprocal to divide by fraction so 1/10 will be just 10

Then u get 19/5 x 10

You can reduce the GCF so it would be 19 x 2

19 x 2 = 38

Or you can plug it into your calculator (3.8 x .1)

Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]

9514 1404 393

Answer:

  21.4  

Step-by-step explanation:

For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...

  x = 21.4

__

If you want to actually go through the numbers, you know that ...

  Cos = Adjacent/Hypotenuse

  cos(21°) = 20/x

  x = 20/cos(21°)

  x ≈ 21.4

Answer:

50

Step-by-step explanation:

a pentagon has a total of 540 degrees

105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)

540= 105+115+110+(180-2x)+(180-3x)

540=330 +(180-2x)+(180-3x)

210=360-5x

-150=-5x

50=x

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Three quadratic equations that have one real solution are show below:

5x^2+3x^3+3^4 = 55

5x^2+3x^3+3^7 = 55

5x^2+3x^3+3^8 = 55

Answer:

yes

Step-by-step explanation: