The base of a triangle is (x - 3) inches. The height of a triangle is 4.5 inches. If the area is 27 square inches, what is the value of x?

Answers

Answer 1

Answer:

x=15 inches

Step-by-step explanation:

Area of ∆ is 27sq inches

Height is 4.5 inches

base is (x-3) inches

Area of ∆= ½×b×h

27= ½×(x-3)×4.5

27=2.25×(x-3)

27=2.25x-6.75

2.25x=27+6.75

2.25x=33.75

x=33.75/2.25

x=15 inches


Related Questions



A customer buys three packets of cookies that
cost $0.55 each and a packet of pasta that costs $6.92
She gives the shop assistant $20
How much change should she receive?

Answers

11.43 hope you have a good day
.55x3=1.65 then add 6.92+1.65=8.57 then 20-8.57=11.43 she receives $11.42 as change

What is 7 1/3 x 2/5?
Math

Answers

Answer:

Step-by-step explanation:

you would multiply the fractions

then you would add the hole number

Answer:

2 14/15

Step-by-step explanation:

!!!WILL MARK BRAINLIEST!!

Answers

Answer:

B, F

Step-by-step explanation:

B, F is correct.

A, C, D, E, G, H is wrong.

[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]

[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]

Which ordered pair is a solution to the following system of inequalities?

y ≤ –x2 + 5x

y > x2 – 4

(–1, –1)
(0, 2)
(2, 5)
(4, 1)

Answers

Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.

What is the system of inequalities?

As stated in the problem, it is modeled by:

y ≤ –x2 + 5x

y > x2 – 4

For ordered pair (-1,-1), we have that:

y ≤ –x2 + 5x

-1 ≤ –(-1)2 + 5(-1)

-1 ≤ -6

Which is false.

For ordered pair (0,2), we have that:

y ≤ –x2 + 5x

2 ≤ –(0)2 + 5(0)

2 ≤ 0

Which is false.

For ordered pair (2,5), we have that:

y ≤ –x2 + 5x

5 ≤ –(2)2 + 5(2)

2 ≤ 6

Which is true.

y > x² - 4

5 > 2² - 4

5 > 0

Which is true.

Hence ordered pair (2,5) is a solution to the given system of inequalities.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

Answer:

the third option (2,5)

Step-by-step explanation:

I just took the test:)

Is (–5, 5) a solution to the equation y=x ?

Answers

Answer:

No.

Step-by-step explanation:

-5 =! 5

A number cube with a number 1 through 6 is rolled. find the probability of rolling a number greater than 3?​

Answers

The probability of rolling a number greater than 3 is equal to

   --> # of numbers greater than 3 / total # of numbers on the dice

   --> [tex]\frac{3}{6} =\frac{1}{2}[/tex]

There the probability of rolling a number greater than 3 is 1/2

Hope that helps!

A wooden block has a mass of 55 grams, correct to the nearest gram. A) Find the least possible mass of the wooden block. B) The volume of the wooden block is 19cm3, correct to the nearest cubic centimetre. Find the greatest possible mass of 1 cubic centimetre of the wood.​

Answers

Answer:

A) 54.5g, B) 1.4g

Step-by-step explanation:

Find the lower bound of 55 and the upper bound of the cubed root of 1. the cubed root of 1 is 1 and the upper bound of that is 1.4

-7i x -1
I just need to multiply these 2 numbers but i forgot how to

Answers

The answer to -7i x -1 equals 7 i

ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP

Answers

Step-by-step explanation:

i answered this one already as well.

The surface area of a cube is 294 square inches. What is the length of a lateral edge?

Answers

Answer:

7 inches

Step-by-step explanation:

The surface area of a cube is denoted by: A = 6s², where s is the side length.

Here, we know that A = 294, so plug this into the formula to solve for s:

A = 6s²

294 = 6s²

s² = 49

s = √49 = 7

Thus, the answer is 7 inches.

hello, please answer the question, please show work

Answers

14 1/4
you just multiply the two

compute (5 2/3)^2-(4 1/3)^2

Answers

Answer:

40/3

Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.


Fifteen less than the square of a number is the same
as twice the number. Find the number.

Answers

Call the number : a

We have : [tex]a^{2} - 15 = 2a[/tex]
[tex]- > a^{2} - 2a = 15 - > a(a-2) = 15[/tex]

Now, we list all the numbers that can be multiplied to get 15 :

1 x 15 (and reverse)
3 x 5 (and reverse)

-1 x (-15) (reverse)
-3 x (-5) (a l s o r e v e r s e)

We substitute in :

If a = 1 -> a(a-2) = 1 x (-1) = -1 (not equal 15)
If a = 3 -> a(a-2) = 3 x 1 = 3 (not equal 15)
If a = -1 -> a(a-2) = -1 x (-3) = -3 (also not equal 15)
And if a = -3 -> a(a-2) = -3 x (-5) = 15 (satisfied)

So, the number is -3

Recheck : -3(squared) - 15 = 9 - 15 = -6
Twice of -3 = -6

Hello!

[tex]========================================[/tex]

First of all, let the unknown number be z.

Then, "the square of z" means "z squared" which is the same as "z times z" or just z².

Now, "fifteen less than the square of z" means we subtract 15 from z²:

z²-15

Then, this equals twice the number, or 2 times z:

z²-15=2z

[tex]========================================[/tex]

Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Enjoy your day!Answered by[tex]\boxed{An~Emotional~Helper}[/tex]

:-)

What would you drink to survive a extra 30 years?

A. Lean
B. Orange Juice
C. Mug

Answers

Lean bc I LOVE LEAN!!!

Please Hurry! I will award the first person right the brainlyest award

Answers

Answer:

y = -3

Step-by-step explanation:

When you graph it on a graphing calculator or on desmos, it appears to be at y = -3

Question 5
0.2 pts
A pizza shop that sells pízza by the slice will let you buy the left overs of each pizza. Lily
selects 5 pizzas that are 2/3 of a whole pizza.
How many WHOLE pizzas does Lily end up having? Explain the strategy you used to get
your solution
Edit View Insert Format Tools Table
12ptParagraph
В І САУ руту
:

Answers

Answer:3 1/3 pizza in total but 3 whole pizzas

Step-by-step explanation:

if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.

10. deshawn installs a shelf bracket. what is the
widest shelf that will fit without overhang?
explain.

Answers

When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.

How to calculate the width?

From the complete information, the other two sides have been given as 4 inches and 5 inches.

The Pythagoras theorem will be used in this case and it goes thus:

4² + Width² = 5²

Width² = 5² - 4²

Width² = 25 - 16

Width² = 9

Width = ✓9

Width = 3

In conclusion, the width is 3 inches.

Learn more about width on:

https://brainly.com/question/25292087

What is the circumference of a circle whose radius is 20 feet. Leave awnser in terms of pi

Answers

Answer:

40π

Step-by-step explanation:

cricumference: 2πr (or πd)

2π(20) = (40)π ≈ 125.66

Answer: 40

Step-by-step explanation:

First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)

b -5 ≥ -45 answer and steps

Answers

Answer:

-50

Step-by-step explanation:

b-5 [tex]\geq -45[/tex]

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5  b = -50

Fill in the table using this function rule y=-10x+1

Answers

Answer:

11, 1, -9, -49

Step-by-step explanation:

(Fill in the x value for each one then solve)

Function rule: y = -10x + 1


1. x = -1

fill in: y = (-10) -1 + 1

Solve: 11

Table way: x,y = -1,11

2. x = 0

fill in: y = (-10) 0 + 1

Solve: 1

Table way: x,y = 0,1

3. x = 1

fill in: y = (-10) 1 + 1

Solve: -9

Table way:  x,y = 1,-9

4. x = 5

fill in: y = (-10) 5 + 1

Solve: -49

Table way: x,y = 5,-49

In ΔJKL, the measure of ∠L=90°, KJ = 41, JL = 40, and LK = 9. What ratio represents the cosine of ∠J?

Answers

1 because if you were to get h rn e measure of the problem right here it would be a cosine of 1

The ratio of daisies to roses is 14 daisies to 16 roses.
If there are 8 roses, how many daisies are there?

Answers

Answer:There are 7 daises

Step-by-step explanation: half of 16 roses is 8 and half of 14 daises is 7. given the ratios from roses to daises is 8:7

Answer:

10 daisies

Step-by-step explanation:

10k^10/8k^4 simplify ???

help!!!

Answers

(5/4)k^6 cuz rules of exponents and fractions.
If you have further questions please feel free to ask!

The white board in the classroom is 12 feet high and has a perimeter of 84. HOw wide is the white board?

Answers

Answer:

A formula is a method that has been proven to work when solving specific types of problems.

Step-by-step explanation:

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

on the 10th day from option A you would get $196.83. on the 10th day from option B you would get $1,000.

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Given:

Option A: You Receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day,and so on, tripling each day.

Option B: You receive $100 each day(Day 1, you would receive $100, Day 2, you would receive $100..)

You will receive the month that is offered on day 10. Which option would you choose? Use the table and/ or graph to organize your thinking.

-------------------------------------------------------------------------------------------------------------

Option A                                                                       Option B:

Tripling = times 3                                                       Add $100

       Table:                                                                  Table:

[1] 1¢                                                                             [1] $100

[2] 3¢                                                                           [2] $200

[3] 9¢                                                                           [3] $300

[4] 27¢                                                                          [4] $400

[5] 81¢                                                                         [5] $500

[6]$2.43                                                                       [6] $600

[7] $7.29                                                                       [7] $700

[8] $21.87                                                                    [8] $800

[9] $65.61                                                                  [9] $900

[10] $196.83                                                              [10] $1000

-------------------------------------------------------------------------------------------------------------

Thus, I will choose option B.

-------------------------------------------------------------------------------------------------------------

~lenvy~

Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.

Answers

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

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

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

Thus, [tex](x+2)^2-2[/tex] is the correct form.

Learn more about a quadratic equation here:

brainly.com/question/2263981

can someone help me with this please ​

Answers

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

use the distributive property to write an equivalent expression to each of the following

(-4x +(2x)

Answers

Hey there!

(-4x + (2x)

= -4x + 2x

COMBINE the LIKE TERMS

= (-4x + 2x)

= -4x + 2x

= -2x


Therefore, your answer is: -2x


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

HELP ME PLEASE
I HATE THE BOTS

How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8

Answers

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^

os
10. What is the slope of the line that passes through the pair of points? (1 point)
(-2, 1), (2, 17)
4
O 17
0-15
04
04

Answers

Answer:

[tex]\boxed{\sf{4}}}[/tex]

Step-by-step explanation:

Use a slope form.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

[tex]\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }[/tex]

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

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