Mathematics High School

Which equation would best help solve the following problem? The height of a triangle is 5 m less than its base. The area of the triangle is 42 m² What is the length of the base?​

Which Equation Would Best Help Solve The Following Problem? The Height Of A Triangle Is 5 M Less Than

Answers

Answer 1

Answer:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Step-by-step explanation:

Area of a Triangle

Given a triangle of base B and height H, the area is calculated by the formula:

[tex]\displaystyle A=\frac{1}{2}BH[/tex]

Let's call x=base of a triangle

Since the height of the triangle is 5 m less than the base:

x - 5 = height of the triangle.

Thus, the area is

[tex]\displaystyle A=\frac{1}{2}x(x-5)[/tex]

The value of the area is given as A=42 square meters, thus:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Related Questions

Dario is finding the percent of change from the original price of $75 to new price of $125.

Answers

Answer:

66.66666% increase (6 goes on forever, can be rounded to 66.67%)

Step-by-step explanation:

The change is 125 - 75 = 50, so it increased by 50/75 = 2/3 = 0.666666... = 66.6666%

Coupon A-14$ rebate on 77$ jacket

Coupon B- 15% off on a 77$ jacket

Answers

Coupon A is the better option

Help mee !! I’ll give points !!

Answers

Answer: It is (x - 3)(x + 5)

PLEASE HELP
Find the value of y for the given value
of x.
y= 2 – 9x; x = 2/3

Answers

Answer: y = -4
You need to substitute the x value into the equation.
x = 2/3
y= 2 - 9(2/3)
y = 2 - 6
y = -4

On a piece of paper, graph y+ 2 > -3x - 3. Then determine which answer
choice matches the graph you drew.
A
B
с
51
5
51
6.
BT
(-2,1)
(-2.1)
(-2.1)
x (-2, 1)
-5
6
-56 (0.-5)
(0-5)
-540.-5)
-5.0.-5)
A. Graph A.
O B. Graph B
O C. Graph C
D. Graph D

Answers

Answer: D

Step-by-step explanation:

The graph that represents the inequality [tex]y+ 2 > -3x - 3[/tex] is graph d

The inequality is given as:

[tex]y+ 2 > -3x - 3[/tex]

Subtract 2 from both sides of the inequality

[tex]y+ 2 -2 > -3x - 3 -2[/tex]

[tex]y > -3x - 5[/tex]

See attachment for the graph of [tex]y > -3x - 5[/tex]

The graph that matches the attached graph is graph (d)

Read more about inequalities at:

https://brainly.com/question/11234618

5 1/4 ft; a= 12 ft 2

Answers

1Answer:

Step-by-step explanation:

Pliss help me
Classify these numbers as Irrational and Irrational and place them in their correct area.
vo 1 35.421109, V17.39, II, 200 18,0,-9

Answers

Answer:A

Step-by-step explanation:

I'm so confused to this problem someone please help me ​

Answers

(xy)⁷

=(x⁷)(y⁷)

This is the simplified term.

Answer:

Step-by-step explanation:

Hope this helps

A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h, of the sand in the container increases at a rate of approximately 8 inches per minute. Create an equation that models the volume, V, of the sand in the container in terms of h, then use the equation to determine the time at which the volume is 64 cubic feet. Note that the volume of a rectangular prism is V=l×w×h, where l, w, and h are the length, width, and height of the prism.

Answers

Answer:

I think the answer is 24 minutes!

Step-by-step explanation:

I hope this helps!

Answer:6+89

Step-by-step explanation:439+3947+v=90

A point at (0, 9) can be reflected across the y-axis. true or false
​

Answers

Answer:

true

Step-by-step explanation:

SuRpRiSE shAwTYYyyyyyyyyyyyyyyyy​

Answers

Answer:

HeyYyyYyYyT

Step-by-step explanation:

1 :)

HELP WILL GIVE BRAINLIEST!!! Solve for x

Answers

Answer:

x=32

Step-by-step explanation:

180-122=58

58+90+x=180

148+x=180

32=x

Solve the equation for the red variable

Answers

i think c = p+ r because you firstly have to rearrange the equation so that you isolate the -c. which means you get -c = p-r because you have to change the sign of the r when you switch it. so -c = p-r, but to find c that isn’t minus you need to change the sign on both sides. therefore, the answer should be c = p+r.

Which number is not an integer? Select all that apply.
1.33
a.
b. -7
c.
d. 4
e. O
f. -1.63

Answers

Answer:

A and 1.33 and -1.63

Step-by-step explanation:

A integer is a whole number, it's either positive or negative.

Finding missing angles

Answers

There’s no picture thanks for the points tho

thank for the pint but what is the qestion

Did I put the letters in the right places?

Answers

Answer:

Yes u did thats what i did too XD

Help! Sorry if it’s hard to see it would not look different everytime I retook the picture! :)

Answers


Answer:

d = 11.401754

For:
(X1, Y1) = (5, 4)
(X2, Y2) = (-4, -3)


Distance Equation Solution:

=√ (-4−5)2+(−3−4)2

=√ (-9)2+(−7)2

=√ 81+49

=√ 130

=11.401754

help pleaseeee!!!!!! 30 points​

Answers

Answer:

Pen = y

25.00 + y

Step-by-step explanation:

expressions do not have equal signs.

25 more than the pen is 25 + y

the expression would be

25 + y

Answer:

we will say that x stands for the pen

x + $25 = cost of the pencil

Step-by-step explanation:

Jamal earns earns a year-end bonus of $32500 and puts it in 3 one-year investments that that pay $1579.50 in simple interest. Part is invested at 3%, part at 4%, and part at 6%. There is $9750 more invested at 6% than at 3%.

A. Create a system of equations that represents this ratio.

B. Find the amount invested at each rate.

Answers

Answer:

Fjjfhfuf

Step-by-step explanation:

Ffifuuf

HELP NOW PLSSSSSSSSSSSS

Answers

Answer:

DIBF

Step-by-step explanation:

The lines are:

Line 1  = DLine 2 = ILine 3 = BLine 4 = F

The code is:

DIBF

Please help me! giving out brianliest!

Answers

Answer:

Hmm, remember to use distributive property with the fraction and the numbers in the parenthesis.

Step-by-step explanation:

The table below represents a function. Which of the following equations could be its function rule?

Answers

Answer:

it's the 3rd choice, Y= -3x

Find the percent of decrease from 22 songs to 12 songs. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

I am pretty sure the answer is 45%

Ana cuenta una noticia a 5 personas. A la hora siguiente, cada una de ellas se la cuenta a otras 5, y así sucesivamente. ¿Cuánto tardan en conocerla 3 000 personas?

Answers

Answer:

3 horas si se toma apartir de lo que se dice en el problema

Please help me out with this guys

Answers

To find the x- intercept, suptitude in 0 for y and solve for x

Find the length of an arc when the radius is 15 feet and the measure of the central angle 135 degrees. Round to nearest hundredth.

Answers

Answer:

35.34

Step-by-step explanation:

The formula for arc length is 2rФπ/360

2(15)(135)=4050

4050/360·π=35.34

In WXY y=3.6 w=6 and X=147

Answers

Answer:

[tex]wxy = 6 \times 147 \times 3.6 \\ = 3175.2[/tex]

nolur cözebilirmisiniz​

Answers

Answer:

vvhfdefg

is c60

A loan of $25,000 has an annual simple interest rate of 5.5%. The total cost of the loan is $38,750.
How much total interest will you pay?

How long does it take to repay the loan?

Answers

You will pay about $134407323


Step by step explanation;

Alice walks her dog on a 10-foot leash.
While Alice is standing still, what is the
area of space the dog has to roam while
on the leash?

Answers

Answer:

31.4159...feet

Step-by-step explanation:

The area of a circle is 2x radius squaredx pi

Other Questions
John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water? -40 divided by 5?as an equation The adjusted trial balance for China Tea Company at December 31, 2021, is presented below: Accounts Debit Credit Cash $ 16,000 Accounts receivable 158,000 Prepaid rent 7,000 Supplies 27,000 Equipment 330,000 Accumulated depreciation $ 127,000 Accounts payable 19,000 Salaries payable 3,800 Interest payable 1,500 Notes payable (due in two years) 30,000 Common stock 180,000 Retained earnings 94,700 Dividends 30,000 Service revenue 470,000 Salaries expense 185,000 Advertising expense 78,000 Rent expense 18,000 Depreciation expense 33,000 Interest expense 2,000 Utilities expense 42,000 Totals $ 926,000 $ 926,000 Prepare a classified balance sheet for China Tea Company as of December 31, 2021. Ill give brainliest, pls help with this mole concept. Due in 2hours What pushes blood in the veins back toward the heart? When an artist uses scale to indicate the relative importance of elements in acomposition, such as in Van Ecyk's Madonna in a Church, this scale is calledA. Human scale B. Monumental scaleC. Small scaleD. Hierarchical scale Please help due today The Anthropocene represents the first time that humans have played a pivotal role in the functioning of Earth as a system. There are both positives and negatives of this fact, and it is our responsibility to ensure that the positive impacts outweigh the negative ones in the future. For the options below, decide whether each is a negative or a positive outcome of humans' role in the Anthropocene.Drag the appropriate items into their respective bins View Available Hint(s) Reset Help Now that humans have recognized how destructive unrestrained growth can be, they have set aside vast swaths of natural areas to be protected, such as Yosemite National Park Burning fossil fuels by driving cars has led to large increases in air pollution, which has altered atmospheric chemistry and led to warmer air temperatures. As cities grow, more people have access to amenities that are harder to access in rural areas, such as state-of-the-art health care Humans have figured out how to selectively breed crops so that they have higher yields, allowing more people on the planet to be fed Clearing forested land so that cities can expand has resulted in many plants and animals becoming extinct as their habitat is destroyed Positive impact Negative impact Submit Kim has $400 in her savings account. If she spends $50, how much will her account decrease? In the typing world, 80 words per 5 minutes is considered acceptable.How many words per minute is this? On the first day of soccer camp, all the players were divided into 2 teams. there were 9 players on each team. write an equation, that when solved, will tell the total number of players, p. Explain what you would have to do to the date on your watch if you were tocross over the International Date Line from east to west.a. Change it to the next dayb. Move it back 1 dayc. Change it to the next yeard. Move it back 1 year cellular respiration uses glucose and oxygen to make a) What fraction is equal to 50% of 1/3? b) What fraction is equal to 75% of 1/2? you dont need to show working out Which option identifies the concept illustrated in the following scenario?To keep production costs down, ingredients for frozen lasagna sold at grocery stores across the country includes tomatoes picked in Mexico, flour produced in Russia, and beef raised in Canada.-direct marketing-outsourcing labor-improving quality control-reducing food miles List four rules for rounding numbers. which value of x makes the inequality 3x+3>15 early manufacturing, done for personal use, has been called? Read the following short passage.Laura wants to go sledding, but it hasn't snowed in weeks.What type of conflict is shaping Laura's development?A. MainB. ClimacticC. ExternalD. Internal Part AWhat decision is prompted by the discovery of the droppings?A. to blow the conch and call a meetingB. to immediately begin a hunt for pigsC. to put Ralph in charge of huntingD. to put Roger in charge of huntingPart BWhat is the effect of the decision in Part A on Ralph's attitude toward Jack?A. He worries that the boys will refuse to let Jack kill the island's pigs.B. He feels confident in Jack's ability to provide meat for them all.C. He begins to suspect that Jack might be violent and dangerous.D. He is grateful that Jack has finally decided to accept him as chief.