A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole

Answer:

1. x < 10

2. x ≥ 10

3. x ≤ 10

4. x > 10

Step-by-step explanation:

1. Tiana read a book in less than 10 days.

Let

x = number of days Tiana read her book

x < 10

2. Charlie plans to run at least 10 miles this week

Let

x = number of miles Charlie plans to run

x ≥ 10

Jessica can spend at most 10 dollars on lunch

Let

x = amount of money Jessica can spend on lunch

x ≤ 10

Andre needs to buy more than 10 balloons for the party

Let

x = number of balloons Andre needs to buy

x > 10

Answer:

you forgot to post the pic

Step-by-step explanation:

Answer:

Step-by-step explanation:

The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.

The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°

Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.

∠4 is corresponding to 30° so ∠4 is 30°

∠5 is corresponding to ∠1 so ∠5 is 150°

∠6 is corresponding to ∠2 so ∠6 is 150°

∠7 is corresponding to ∠3 so ∠7 is 30°

Hope this helps :)

Answer:

The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.

The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°

Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.

∠4 is corresponding to 30° so ∠4 is 30°

∠5 is corresponding to ∠1 so ∠5 is 150°

∠6 is corresponding to ∠2 so ∠6 is 150°

∠7 is corresponding to ∠3 so ∠7 is 30°

Hope this helps :)

Step-by-step explanation:

Answer:

The value of given expression is 13 / 3

Step-by-step explanation:

Given expression in the form of improper fraction;

17/3 - [tex]1\frac{1}{3}[/tex]

Find;

The value of given expression

Computation:

⇒ 17/3 - [tex]1\frac{1}{3}[/tex]

Step 1 ;

Change mixed fraction into simple fraction

⇒ 17/3 - 4/3

Step 2 ;

By taking LCM of denominators;

⇒ [17 - 4] / 3

Step 3 ;

Subtract 17 from 3

⇒ [13] / 3

The value of given expression is 13 / 3

Answer:

The area of the given polygon is:

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

Now, we're gonna replace the measurements in the formula.

First rectangle:

Second rectangle:

Third rectangle:

By last, we must add the area of the rectangles:

As you can see, the area of the polygon in the picture is 232 cm^2.

Answer:

306.80

Step-by-step explanation:

250 + 4% = 260

260 + 18% = 306.80

Total amount paid by Jamal is $305

Step-by-step explanation:

Given that;

Cost of meal = $250

Local sale tax rate = 4%

Percentage of tip left by Jamal = 18%

Find:

Total amount paid by Jamal

Computation:

Total tax paid by Jamal = 250 × 4%

Total tax paid by Jamal = $10

Total amount of tip left by Jamal = 250 × 18%

Total amount of tip left by Jamal = $45

Total amount paid by Jamal = Cost of meal + Total tax paid by Jamal + Total amount of tip left by Jamal

Total amount paid by Jamal = 10 + 45 + 250

Total amount paid by Jamal = $305

Learn more:

https://brainly.com/question/2155156?referrer=searchResults

Answer:pennies: (0.12)(50) = 6

dimes: (0.34)(50) = 17

nickels: 6 + 2 = 8

Answer:

The answer will be D

Have a great day :)

Answer: it would be D two of the fourth graders own two pets

Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets

Hope this helps :)

Answer:

Step-by-step explanation:

2 is the slo[pe:)

Answer: I think so the answer is -3 3/7

HOPE THIS HELPS

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

-35

Answer:

B

Step-by-step explanation:

Answer:

Its X-1

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.

Answer:

36

Step-by-step explanation:

6+6+6+6+6+6=36

Answer:

x/3=4.5/1.5

1.5x=3*4.5

x=13.5/1.5

x=9

Step-by-step explanation:

Answer:

Hello! answer: D. 180

Step-by-step explanation:

What you do for these is find the surface area for each face separately then add them up so...

for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!

Answer:

180 in²

Step-by-step explanation:

To wrap the given box, we need to find the total surface area of the figure.

TSA of cuboid = 2 (lb + bh + hl)

= 2 { (6*8) + (8*3) + (3*6) }

= 2 ( 48 + 24 + 18 )

= 2 * 90

= 180 in²

Answer:

yes, steve is correct

Step-by-step explanation:

Answer:

yep, he's right. Ethan took 20 pieces of candy

Step-by-step explanation:

4/5 = 20/25

Answer:

yes

Step-by-step explanation:

yes because 46 ounces is equal to 2.9 pounds

Answer: Yes

Step-by-step explanation:

Im correct because, 1 pound equals 16 ounces. So to find how much 2 pounds is we just have to multiply 16 by 2. 16 times 2 equals 32 ounces and 46 ounces is more then 32 ounces, so it is greater.

Hope This Helps!

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

Answer:

False

Step-by-step explanation:

[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

Answer:

answer is C

Step-by-step explanation:

<E corresponds with B

Hope it helps you

Answer:

ok, so the answer is table A

Step-by-step explanation:

USA PREP TESTTTTTT

good luck :)

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step explanation:

Composite function:

The composite function of f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

[tex]f(x) = x - 3, g(x) = x^2[/tex]

Composite function:

The composite function is:

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

At x = 1

[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]

So

When x = 1, (f◦g)(x) is -2.

Answer:

The problem is not provided so I cannot solve anything.

Step-by-step explanation: