A triangle has a base of 14 centimeters and a height of ( 3x - 4 ) centimeters . The area of the triangle is greater than 56 centimeters . Solve the inequality 1/2 (14) ( 3x - 4 ) > 56 to find the possible values of x???
show your work please

Answers

Answer 1

Answer:

1/2 (14) ( 3x - 4 ) > 56

14/2 (3x-4) > 56

7 (3x-4) > 56

21x - 28 > 56

21x > 56+28

21x > 84

x < 4

Answer 2

Answer:

x > 4 or x = (4, + oo)

Step-by-step explanation:

The area of the triangle is

A = 1/2bh

Given

b = 14 cmh = 3x - 4

Then

A = 1/2*14(3x - 4) = 7(3x - 4) = 21x - 28

If A > 56, then solving inequation:

21x - 28 > 5621x > 56 + 2821x > 84x > 84/21x > 4 or x = (4, + oo)


Related Questions

Can you guys PLZ answer this question really fast

Answers

Answer:

5*10^-7

Step-by-step explanation:

find the sum of the first 25 multiples of 10.

Answers

Answer:

Step-by-step explanation: So the first 25 multiples of 10 are ,

10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!

Answer:

3250

Step-by-step explanation:

First 25 multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155

21 + 22 + 23 + 24 + 25 = 115

55 + 155 = 210

210 + 115 = 325

325 x 10 = 3250

Hope this helped!

Which transformation has been applied?

Answers

I think it’s going to be reflection but I don’t know which one it is :/

Answer:

Its C

Step-by-step explanation:

HELLP
Using the graph: after a reflection, the image vertices are A’(5,1),B’(3,-1) and C’(7,-1) what is the line of reflection?

Answers

Answer:

x=2

Step-by-step explanation:

the line that is being refected over is x=2

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

Oy-1=4(3-3)

Oy+3 = 4(x+1)

Oy+1=4(x+3)

Oy-3 = 4(2 - 1)

Answers

Answer:

The answer is y+3 = 4(x+1)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

So we have

[tex]y + 3 = 4(x + 1)[/tex]

Hope this helps you

A rectangular pentagon with side lengths of l. A rectangle with a length of l + 10 and a width of l.
A regular pentagon and rectangle have the same perimeter. The length of the rectangle and the side of the pentagon are equal. The width is 10 more than the length. Write an equation that describes the scenario.
pentagon’s perimeter:
rectangle’s perimeter:
scenario’s equation:

Answers

Answer:

Pentagon's perimeter: 5I ; (choice 2)

Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)

Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)

Step-by-step explanation:

I hope this helped! :)

Answer:

Pentagon's perimeter: 5I ; (choice 2)

Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)

Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 154 m. Its
length is 2 m more than twice its width. What are
length and the width of the pool ?

Answers

Answer:

breadth =25 m and length =25×2+2=52 m

Step-by-step explanation:

Which ordered pair is a solution to the system of inequalities?
y> 2x
y> 3
O A. (4,6)
O B. (2,4)
O C. (1,5)
O D. (0,3)

Answers

Answer:C

Step-by-step explanation:

BIG BRAIN

The solution is, C. (1, 5), ordered pair is a solution to the system of inequalities.

Here, we have,

We have the following system of inequalities:

y> 2x

y> 3

We graph each inequality and obtain the following:

Now we graph each point and the one that remains inside the purple zone, would be the system solution, like this:

We can see that the only option that remains within the point zone is the point (1, 5)

therefore, the correct answer is C. (1, 5)

To learn more on inequality click:

brainly.com/question/24853349

#SPJ7

TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU

Answers

Answer:

Since TV bisects STU, m∠STV and m∠UTV are equal

14x+8 = x+2

13x+8 = 2

13x = -6

x = -6/13 or -0.46

The measure of m∠STU is 40/13 degrees

A point that bisects a line divides the line into two equal parts

If TV bisects  ∠STU and  ∠UTV, then;

∠STU =  ∠STV+  ∠UTV ∠STV=  ∠UTV

Given the following

m∠STV=(14x+8)∘

m∠UTV=(x+2)∘

Substitute the given values into the formula and calculate m∠STU

14x + 8 = x+ 2

14x - x = 2 - 8

13x = -6

x = -6/13

Get m∠STV

m∠STU = 14x+8 + x + 2

m∠STU = 15x + 10

m∠STU = 15(-6/13) + 10

m∠STU = -90/13 + 10

m∠STU = 40/13

Hence the measure of m∠STU is 40/13 degrees

Learn more here https://brainly.com/question/22883501

what is the number of significant figures in 0.502​

Answers

What ?! What’s the picture

Which is the graph of the system y < 3x + 4 and y < 3x - 2

Answers

Answer:

C

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

trust

What is the mean of the data set: 17,13,18,20,17,15,12

Answers

Answer:

16

Step-by-step explanation:

7k-10=-8-4(k+6)
Helpp

Answers

Answer:

k=-2

Step-by-step explanation:

7k-10=-8-4(k+6)

7k-10=-8-4k-24

7k-10=-32-4k

7k-10=-32-4k

11k-10=-32

11k=-22

k=-2

Step-by-step explanation:

7k-10= -8-4(k+6)

7k-10= -8-4k_24

7k+4k= -8-24+10

11k= -22

k= -22/11

k= -2

what is the value of x?​

Answers

Answer:

The value of x is 8 cm

Step-by-step explanation:

we can see that there are two triangles

smaller triangle and larger triangle

and both triangles are similar

so, the ratio of their sides must be equal

we get

now, we can solve for x

we can cross multiply

Divide both sides by 5

Subtract both sides by 13

divide both sides by 2

RJ solves a math problem on the whiteboard using the Powers of Products Property. Is his answer correct? Explain.

6^3 * 7^3 = 42^3

Select the correct answer.

a:
Yes, because (6*7)^3 is 42^3
b:
No, because 6^3 * 7^3 = 42^6
c:
No because 6^3 * 7^ 3 = 42^9
d:
No, because 6 * 7 = 42

Answers

It’s A. Since every aspect of that is multiplication, you can change around how you write it such as (6*7)^3. 6*7 is 42, and 42^3 is the exact same as 42^3

Answer:

Its A

Step-by-step explanation:

Because they have the same answer. <3

is 5.67 A)rational B)Irrational C)whole D) natural E)integer

Answers

Rational it stops and repeats

HELP HAVING BAD DAY
Find the ratio a:b if it is given that: a 3a=8b

Answers

Answer:see answers below

Step-by-step explanation:Slope=

2.000

0.750

=0.375

a−intercept=

3

0

=0.00000

b−intercept=

−8

0

=−0.00000

Please Help!!
Thanks!!

Answers

Answer:

a) 18x+9x+4x+16

b) 41x+16

below are two parallel lines with a third line intersecting them.

Answers

44+44= 88 360-88= 272 272/2= 136
136 is your answer. you can also see that 44 degrees is on a straight line so you can do 180 ( because a straight line is 180 degrees) minus 44 which also gives you 136

Mallory is 2 years older than three times her brother Jake’s age.
Let j represent Jake’s age.
During the strategize step of the five-step problem-solving plan, which expression where do you use to represent Mallory’s age?
A. 3j+2
B. 2j+3
C. j+2
D. 3(j+2)

Answers

Answer:

A) 3j + 2

Step-by-step explanation:

sorry, I always have trouble explaining this kind of question. hope I was still able to help!

After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20 How should the firm interpret the soil test? The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find oil. What are the revised probabilities?

Answers

Answer:

The revised probabilities are;

The probability of finding soil with oil  = 0.8  

The probability of finding soil with good oil = 0.16

The probability of finding medium quality oil =  0.64

Step-by-step explanation:

The given probability of finding soil with high quality oil, P(QO) = 0.20

The probability of finding soil with medium-quality oil, P(OM) = 0.80

The probability of finding soil with no oil, P(ON) = 0.2

Therefore, given that the probability of finding soil with no oil = 0.2, we have;

The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil

P(OP) = 1 - 0.2 = 0.8

Which gives;

The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;

P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16

The probability of finding good oil = 0.16

Similarly;

The probability of finding medium quality oil P(FM) =  P(OM) × P(OP) = 0.8 × 0.8 = 0.64

Which gives the revised probability as follows;

The probability of finding soil with oil, P(OP) = 0.8  

The probability of finding soil with good oil, P(FG) = 0.16

The probability of finding medium quality oil, P(FM) =  0.64.                

geometry! help pls asap

Answers

i believe the answer is A  sry if im wrong

Answer:

C

Step-by-step explanation:

will be your answer

PLS HELP ME ASAP I'LL GIVE BRAINLYEST

Answers

I think you do 1 1/4 divided by 20 i’m not sure sorry if it’s wrong

plz help i attached a photo

Answers

x= 2/6 y= 6/10 z= 9/4 pretty sure

Which equation represents the graphed line?

Answers

Answer:

A.

Hope this helps!!!!!!!

we're doing literal equations in math and i dont understand how i would solve this question, please help!

Answers

Answer:

x = -4u/3

Step-by-step explanation:

The first step is to create a fraction on both sides in order to prepare for cross-multiplication.

Cross-multiplication is a shortcut for the following technique, shown by this example.

a/b=c/d

Multiplying both sides of the equation by bd using the multiplication property of equality will then grant the equation ad = bc, and then a single component can be isolated by creating the equation a = bc/d for example using the division property of equality.

Back to cross-multiplication, however, creating a fraction of both sides can be achieved by creating the equation u/1 = -3x/4, since any number divided by 1 is equal to itself.

Then, by cross-multiplying u and 4 and 1 and -3x, you get the equation 4u = -3x.

Dividing both sides by -3 will then grant the final answer of x = -4u/3.

You want to purchase your first house. A conventional mortgage will require a credit score of approximately 630. Your credit score is 560. You need to increase it by 70 points to get to 630. If you increase your score by 12% per year, how many years will it take to lift your score to 630?

Answers

Answer:

a) 1.1 yrs

Step-by-step explanation:

THESE ARE OPTIONS FOR THE QUESTION BELOW;

a) 1.1 yrs

b) 2.3 yrs

c) 26 yrs.

d) 12 yrs.

✓At initial year (0 year) credit score =560 points

Then the score is increased by 12% per year, with this 12% increase we have 702.4 points in the 1st year

✓At the first year(1st year)

(12/100)× 560 points of the initial year.

= 627points

✓ At second year (2nd year), the 627points

increases by 12% again.

(12/100)× 627.2 points of the initial year.

= 702.4points

There was 75.2 increase between istyear and second year(702.4points - 627points)

Since, We have 12 month in a year, that means there is 6.2 points per month (75.2/12) for the year .

After second year we had 627points, with increase of 6.2point, Then at 1.1 year we would have score of 630 points

Answer:

11

Step-by-step explanation:

PLEASE HELP

Norton started driving at 9 am by noon he had traveled 162 mi what was his average Speed?

Answers

18 mi/ph because 162 divided by 9 is 18.

Answer:

54 mph

Step-by-step explanation:

Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54.

[tex](7y + 5) - (8y - 6)[/tex]

Answers

Answer:

7y + 5 - 8y + 6

-y + 11

Step-by-step explanation:

y − 3x = 4 slope intercept form plsssssssss

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b. We add - 3x to 4 to isolate the y.

y= 3x+4. add 3x to both sides to get 3x on the right side, leaving y by itself.
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