The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.

Answers

Answer 1

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches


Related Questions

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

Ms. Smith bakes 6 cookies in 15 minutes.
will it take her to bake 48 cookies?
How many hours

Answers

6 cookies/15 minutes

48/6= 8

8*15minutes= 120 minutes
120/60

2 hours = Answer

Answer:

120 minutes or 2 hours I think

Step-by-step explanation:

ok so you want to figure out how many hours it will take for her to bake 48 cookies. It takes 15 minutes to bake 6 cookies.

So 6x8=48 cookies.

Multiply 15 minutes times 8 since one batch of cookies (6) 15 minutes long and she wants to bake 48 cookies.

15x8=120

That's 120 minutes, but you want how many HOURS it takes.

there are 60 minutes on a hour so you will take 120 divided by 60

120/60= 2

To check, multiply 60x2= 120.

Hope this helps!

Solve for x. cosx =√3/2

Answers

Answer:

cos x=√3/2

cos x=60°. (cos60°=√3/2)

{x=60°}

HELP HELP HELP HELP HELP PLS
Which describes the solution of the inequality y > −15? Select all the points that are part of the solution.

(0, −20)
(−7, −2)
(4, −15)
(−1, −1)
solid horizontal line through (0, −15) with shading below line
dashed vertical line through (0, −15) with shading to left of line
(15, 2)
dashed horizontal line through (0, −15) with shading above line

Answers

Answer:

dashed horizontal line through (0, −15) with shading above line

Step-by-step explanation:

Answer:

Dashed horizontal line

Step-by-step explanation:

If its multiple choice and you need help just add a comment

and if you need help with any other math homework assignment or anything just DM me on ig

-Stewart.lil2

sorry me and my friend have matching usernames bc (ion een kno but yea)

2 2 7 :(0.6x)= 4 21 :0.25

lol my phones taken away until i finish this question help

Answers

Answer:

i don't exactly know what the question is but based off what i understand x=140

Step-by-step explanation:

Answer:

what are you trying to solve, be more elaborate on your question

Step-by-step explanation:

Six tiles lettered B, A, N, A, N, and A are lying facedown on a table. A tile is selected, the letter is recorded, the tile is replaced, and the
process is repeated.
What is the theoretical probability of selecting the letter A?
1/2
1/6
2/5
1/3

Answers

Hello there wish you a GREAT Thanksgiving :)

If there are 3 A's out of 6 letters, then it's 1/2 or 0.5

The numerator of a rational number is 7 less than the denominator .If the denominator is increased by 9 and the numerator by 2, we again get the same rational number. Find the Number

Answers

Answer:

5/3

Step-by-step explanation:

Let

Denominator = x

Numerator = x - 7

New

Denominator = x + 9

Numerator = x - 7 + 2

= x - 5

x / x-7 = x -5 / x + 9

Cross product

x * x + 9 = x-7 * x-5

x² + 9x = x²- 5x - 7x + 35

x² + 9x - x² + 5x + 7x - 35 = 0

21x = 35

divide both sides by 21

x = 35 / 21

= 5 / 3

x = 5/3

The rational number is 5/3

The charity gala costs a flat fee of $394, plus an additional $6 per attendee. How many attendees can there be, at most, if the budget for the charity gala is $508?

Answers

Answer:

There can be 19 attendees at most, if the budget for the charity gala is $508.

Step-by-step explanation:

From the information given, the cost of the charity gala is equal to the flat fee plus the additional cost per attendee for the number of attendees, which can be expressed as:

C=394+6a, where c is the cost of the charity gala and a is the number of attendees.

Now, you need to replace C with 508 and solve for a that is the number of attendees:

C=394+6a

508=394+6a

508-394=6a

6a=114

a=114/6

a=19

According to this, the answer is that there can be 19 attendees at most, if the budget for the charity gala is $508.

In 2010 the continent of South America had a population of 395,280,204. Which of the following is the closest estimate of this number
Round to the nearest power of 10
3 x10^8
4×10^7
4x10^8
4x10^9

Answers

Answer:

4 x 10⁸

Step-by-step explanation:

Well 4 x 10⁸ is 400, 000, 000 which is the closest to 395, 280, 204. For future reference, the number of powers the 10 is raised to is the number of zeros it will have.

A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. Is −1 4 < −3 4 ? Use the number line to explain your answer. No, because Negative one-fourth is to the left of Negative three-fourths No, because Negative one-fourth is to the right of Negative three-fourths Yes, because Negative one-fourth is to the left of Negative three-fourths Yes, becauseNegative one-fourth is to the right of Negative three-fourths

Answers

Answer:

the answer is option B no because -1/4 is to the right of -3/4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The total bill of a meal at a restaurant is 25x – 115. Five
friends agree to split the cost of the meal equally. What
could you do to find the amount that each person must
pay? Explain.

Answers

Answer: Divide the whole equation by 5

Step-by-step explanation: You could divide the whole equation by 5 since there are 5 friends. Once you do that you end with the equation 5x - 23, which is what each friend would pay.

Answer:

Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.

Step-by-step explanation: (you may want to reword it)

Solve the equation 35h+25=40h to find how many hours


__ hour(s)

Answers

the answer is 5 hours
If h is hours, then it’s 5 hours.

Two rectangles with the same side lengths are always congruent.

Answers

Answer:

true

Step-by-step explanation:

Two triangles are congruent if both of them have the same length of sides. Two rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

an equation of the line that passes through (3, 1) and (0, 10).

Answers

Answer:

So the equation of the line that passes through (3, 1) and (0, 10) is y=-3x+10

Step-by-step explanation:

(3, 1) and (0, 10)

m=y²-y¹/x²-x¹

m=10-1/0-3

m=9/-3

m=-3

y=mx+b

y-y=m(x-x1)

y-1=-3(x-3)

y-1=-3x+9

+1 +1

y=-3x+10

Inequality to Verbal
25 < y < 31
A. The domain is greater than 25 and less than or equal to 31.
B. The range is greater than or equal to 25 and less than 31.
f. The domain is greater than or equal to 25 and less than 31.
D. The range is greater than 25 and less than or equal to 31.

Answers

Answer:

D. The range is greater than 25 and less than or equal to 31.

Step-by-step explanation:

y is range

≤ = less than or equal to

< = less than

Help me with the geometry work

Answers

Answer:

Step-by-step explanation:

The thing you have to realize is that the diagonals of a parallelogram bisect each other. So  DF = BF. With that fact, you get

4y + 19 = 10y - 11               Add 11 to both sides

4y+19+11 = 10y-11+11          Combine

4y + 30 = 10y                    Subtract 4y

4y-4y +30 = 10y - 4y        Combine

30 = 6y                             Divide by 6

y = 30/6

y = 5

At 11 p.M., it was 48°F. The temperature was 6° cooler by 7 a.M. By 11 a.M. The temperature was 48°F again. What integer represents the number of degrees the temperature changed from 7 a.M. To 11 a.M.?

Answers

Answer:

6°F

Step-by-step explanation:

Given that:

Temperature at 11pm = 48°F

Temperature at 7am = 6° cooler

Temperature at 11am = 48°F

Number of degrees temperature changed from 7am to 11 am

Exact temperature at 7am = (temperature at 11 pm - 6°)

= 48°F - 6°F

= 42°F

Temperature change from 7am to 11am

Temperature at 11 am - temperature at 7am

48°F - 42°F

= 6°F

a typical car releases 36 tons of carbon dioxide and six years at a constant rate how many times will a car release in 10 years ?​

Answers

Answer:

60 Tons

Step-by-step explanation:

36 divided by 6 equals 6. So that six is used for the for extra years

36+6+6+6+6

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A typical car releases 36 tonnes of carbon dioxide and six years.

Let 'x' be the amount of carbon dioxide.

At a constant rate, the number of tonnes of carbon dioxide released in 10 years will be given as,​

x / 10 = 36 / 6

Simplify the equation, then we have

x / 10 = 36 / 6

x / 10 = 6

x = 60 tons

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

What is the value of x in the equation x + 10 = 13? (4 points)
a.−3
b.3
c.13
d.23

Answers

Answer: B, x=3

Step-by-step explanation: isolate x so 13-10=3

X=3 bruh that’s so easy bruh

When Rhonda was 12, her grandmother made her a quilt. Each pattern in the quilt contained 126 quares. The
pattern was repeated 8 times to make the entire quilt. How many squares were in Rhonda's quit?

Answers

Answer:

B. The quilt consisted of 1,008.

Step-by-step explanation:

You take the initial number of squares the quilt had, which was 126. If that number was repeated 8 times for the entire quilt you would have to take 126*8 and the answer would be 1,008.

If this helped you please click the thanks button.

Thank you and good luck! :-D

The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object when looking through a periscope? The periscope –
A. contains mirrors that reflect the object
B. magnifies small objects so they can be seen
C. absorbs the light rays passing through it
D. separates the light into different colors

Answers

Answer: A. contains mirrors that reflect the object

Step-by-step explanation:

A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.

Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.  

Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010

Answers

Answer: A. 8,010 × 34

D. 34 × (8,000 + 10)

E. (30 + 4) × 8,010

Step-by-step explanation:

First we need to calculate 34 × 8010 = 272340

A. 8,010 × 34 = 272340

This is equal to 34 × 8010.

B. 34 × (801 × 102)

= 34 × 81702

= 2777868

This is not equal to 34 × 8010.

C. 30 × 4 × 8,010

= 961200

This is not equal to 34 × 8010.

D. 34 × (8,000 + 10)

= 34 × 8010 = 272340

This is equal to 34 × 8010.

E. (30 + 4) × 8,010

= 34 × 8010 = 272340

This is equal to 34 × 8010.

Therefore, the correct options are:

A, D, E.

Does anyone know how to do it?

Answers

Answer:

x = -7º

x+59 = 52º

x+51 = 44º

Step-by-step explanation:

84 + (x+59) + (x+51) = 180º

180 - 84 = 96

x+59 + x+51 = 96

2x + 110 = 96

2x = -14

x = -7

proof:

-7+59 = 52º

-7+51 = 44º

the sum of angles in a triangle must be 180º so:

84 + 52 + 44 = 180

Answer:

∠A = 44°

Step-by-step explanation:

84 + x + 59 + x + 51 = 180

2x = 180 - 84 - 59 - 51

x = -14/2

x = -7

∠A = x + 51

∠A = -7 + 51

∠A = 44°

x2 + 8x + 4 = 0
please help

Answers

Answer:

x= -3/4 or x= 0.75

Step-by-step explanation:

Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball's total pay p after selling d dollars of software.

Answers

Answer: p = 41250 + 0.08d

Step-by-step explanation:

From the question, we are informed that Mr Kimball sells computer software and that he earns a base salary of $41,250 and 8% commission on his sales.

The equation to represent Mr. Kimball's total pay p after selling d dollars of software will be:

p = 41250 + (8% × d)

p = 41250 + (0.08 × d)

p = 41250 + 0.08d

HELLLLP!!!!
A recipe for 16 banana nut muffins calls for one cup of flour the number of muffins that can be made varies directly with the amount of flour used there are 3 1/ 4th cups of flour available how many muffins can be made

Answers

Answer:

52 muffins

Step-by-step explanation:

3 * 16 = 48

48 + 4 = 52

Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?

Answers

Answer:

that answer is 5 hope you get it right

Determine how the triangles are similar​

Answers

Answer:

SAS.. Can I have brainliest?

Step-by-step explanation:

Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?

Answers

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

help please I don't know how to do this​

Answers

Answer:

1500 meters

Step-by-step explanation:

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