Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle

Answers

Answer 1

Answer:

width is 4

height is 20

Step-by-step explanation:

Area=½ width × height

let the width be x

height will be 6x - 4

40 = ½ × x × (6x - 4)

40 = 2/2 × 3x² - 2x

40 = 3x² - 2x

3x² - 2x - 40 = 0

3x² -12x + 10x - 40 = 0

3x(x-4) + 10(x-4) = 0

(3x + 10)(x - 4) = 0

x = -10/3 or 4

dimension cannot be negative

x is 4

6x-4= 6(4) - 4

24 - 4

20


Related Questions

Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.

Answers

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13

a length of top is stretched between the top edge of a building and a stake in the ground the head of the stake is at ground level. the rope also touches a tree that is growing half way between the stake and the building. if the tree is 38 ft tall how tall is the building?

Answers

The relationship between the rope, the building, the tree and the ground is an illustration of similar triangles and equivalent ratios.

The building is 76ft tall

The height of the tree is given as:

[tex]Height = 38ft[/tex]

The position of the tree is halfway between the building and the stake.

From the figure, the rope touches the top of the building, and the top of the tree.

This means that: the height of the building is twice the height of the tree.

So, we have:

[tex]Building=2\times 38ft[/tex]

[tex]Building=76ft\\[/tex]

Hence, the building is 76ft tall

Read more about similar triangles at:

https://brainly.com/question/14285697

Pls answer this question


Yesterday, 5/6 of the 120 students in a contest gave their speeches. How many students gave their speeches.

Answers

Answer:100 Estudiantes dieron su discurso

Step-by-step explanation:

120÷6=20

20x5=100

100 Students

How?

120÷6=20

You can do this,

or you can do

120×1/6=20

_____________________________________________

20×5=100

Therefore,

100 students gave their speeches.

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.

Answers

Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ [tex]\frac{23}{5}[/tex] = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

find the quotient 3^1^5/3^3 3^5 3^18 3^12 3^45

Answers

Answer:

It's about drive its about power put in the work put in the hours and take what's ours

Step-by-step explanation:

It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours

2 lines are not parallel, how many solutions are there

Answers

Answer:

Either one: the two line have a point in common, or infinite: they are the same line.

Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.

A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample​

Answers

Answer:

the answer would be a because 42÷6=7 and 42÷3=14.

The correct answer is option A) The number 42 is an example The conclusion is true.

42 is a multiple of both 3 and 6.

How many does multiple mean?

Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.

What is a multiple in math?

A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

Learn more about multiple here: brainly.com/question/251701

#SPJ2

Question 1: Four expressions are shown below:

A. 2(4x + 2)

B. 2(3x + 3)

C. 6x + 6

D. 8x + 4

Which two expressions are equivalent to 2(3x + 2 + x)? (5 points)


A and D


B and D


A and C


C and B

Question 2:
Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22?

3

4

5

6

Answers

Answers;

Question 1 answer: The first and last option.

Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.

2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.

The heights of adult men in America are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches. It is sometimes said that women don't like to dance with shorter men. To get a dancing partner, a 6-foot two-inch tall woman draws from a hat the name of an adult American male. What is the probability that he will be as tall as she?

Answers

So step by step explanation

Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.

Answers

Answer:

Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=150

The table below shows the deposits (+) and withdrawals ( - ) each week for a newly opened bank account with a starting balance of $100.
DEPOSITS AND
WITHDRAWALS
Week 1+120
Week 2 -100
Week 3 +50
Week 4 P
Week 5 +200
Week 6 -100
Week 7 -25
Week 8 +50
Part A: What is the value of p if the account shows a zero balance after 4 weeks?

Answers

From the given table, the positive sign connote deposit while the negative sign connotes withdrawal.

If the account shows a zero balance after 4 weeks, we will take the sum of all deposits and withdrawals for the first four weeks and equate to zero as shown:

[tex]+120+(-100)+50+p=0[/tex]

Open the parenthesis:

[tex]+120-100+50+p=0\\20+50+p=0\\70+p=0[/tex]

Subtract 70 from both sides

[tex]70+p-70=0-70\\p=-70[/tex]

Hence the value of p if the account shows a zero balance after 4 weeks is -70

Learn more on deposits and withdrawals here: https://brainly.com/question/11443019

What is thirty three and a third percent of 237?

Answers

Answer:

79

Step-by-step explanation:

(237)(1/3) = 79

2+2+4+6+9+2+4+5+7+0+10+3

Answers

Answer:

The answer is 54.

Step-by-step explanation:

You add all these numbers up.

what is the slope of
12(x−6)=4(y+3)

Answers

Step-by-step explanation:

the slope is always the factor a of x in the form

y = ax + b

so let's transform the original equation into this form :

12(x - 6) = 4(y + 3)

12x - 72 = 4y + 12

12x - 84 = 4y

3x - 21 = y or y = 3x - 21

therefore, the slope is 3.

solve and check the equation
2(4-5x) = 2(3x+2)

Answers

ANSWER: 0,25
Ok done. Thank to me :>
2(4-5x)=2(3x+2)
8-10x=6x+4
Subtract 4 on both sides
4-10x=6x
Add 10x to both sides
4=16x
Divide both sides by 16
0.25=X

Check

2(4-5x)=2(3x+2)
2(4-5(0.25))=2(3(0.25)+2)
2(4-1.25)=2(0.75+2)
2(2.75)=2(2.75)
5.50=5.50

What is the answer to the question. Solve for x

Answers

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

What is the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contain 3 red, 2 black, and yellow marbles?​

Answers

Answer:

1/12

Step-by-step explanation:

rolling 4 on a cube= 1outcome/6 total=1/6

pulling red marble= 3 possible red marble/6 total marbles=1/2

1/6*1/2=1/12

Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ?

Answers

45.50 is your answer

Answer: $45.50

Step-by-step explanation:

30% discount means 30% off the original price

1. find 30% of 65$

=.3*65

=19.5

2. subtract that from 65$

=65-19.5

=45.5

the discount price was $45.50

What is the value of
8x2 + 3x when x = 4?

Answers

Answer:

28

Step-by-step explanation:

8*2=16

3*4=12

Then you add 16+12

hopefully it helps

Answer:

76

Step-by-step explanation:

plug in 4 in the equation:

8(4)2 + 3(4) = 76

A store pays $270 for a bike and there is a 45% markup. What is the selling price (total price) of the bike?

Answers

Answer:  $391.50

Work Shown:

1.45*270 = 391.50

The multiplier 1.45 represents a 45% increase

Think of it as 1.45 = 1+0.45 = 100% + 45%

Answer:

391.5

Step-by-step explanation:

the 45% of $270 is $121.5

Question 17 of 20
How did women's roles change as a result of the Industrial Revolution in
Europe?
O A. Women earned the right to vote in most democracies by
organizing protests.
OB. Women earned salaries equal to men's for the first time in history,
O C. Women gained increased economic independence by working in
factories
O D. Women largely controlled agriculture by replacing male farmers
who moved to cities.

Answers

As a result of the Industrial Revolution, things changed for women in that C. Women gained increased economic independence by working in  factories

The Industrial Revolution:

Allowed for women to be employed in certain factories Allowed for women to get paid salaries as a result

When women started earning salaries, they did not have to rely on men as much as they could not provide for themselves which led to increased economic independence.

In conclusion, the industrial revolution allowed for the economic independence of women to increase.

Find out more on the industrial revolution at https://brainly.com/question/13323062.

1. Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360.
2. Subtract the area of the triangle from the area of the sector.
length of the radius
length of the diameter
measure of the central angle
circumference of the circle

Answers

Answer: measure of the central angle

Step-by-step explanation: trust

Answer:

measure of the central angle

Step-by-step explanation:

Expand and simplify 2(3x – 5) + 3(2x + 3)

Answers

Answer:

hope it helps

..........

Please answer the file question.

Answers

Answer:48 16 = ?

27 9 = 9

60 20 - 10

Step-by-step explanation:

Given the function f (x) = 3x — 2, what is the value of f (3)?

Answers

Answer:

7

Step-by-step explanation:

Simply plug in 3 for x. 3 times 3 is 9 and 9 minus 2 is 7.

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?

2.5 inches
5.0 inches
7.1 inches
9.8 inches
PLZ ANSWER ASAP

Answers

Answer:

C

Step-by-step explanation:

This means that there is another leg of an isosceles triangle that is also 5 inches.

a^2 + b^2 = c^2

a = 5

b = 5

c = ?

c^2 = 5^2 + 5^2                 Combine

c^2 = 25 + 25

c^2 = 50                            Take the square root of both sides.

sqrt(c^2) = sqrt(50^2)

c = sqrt(5 * 5 * 2)                Take out 1 of two factors under the root sign.

c = 5 * sqrt(2)                      The 2 is left over because there is only 1 of them

sqrt(2) = 1.4142

c = 5 * 1.4142

c = 7.07 = 7.1

8. The circle centered at Q is a scaled copy of the circle center
at R. (Lesson 3-1)
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a. Find the scale factor
х
3
R
5
LO512 D
Subo
Orion V Com odnos
shs on
was born and stoclips na
b. Find the value of x.
Q
diale 2020 Dins besipnon ripA

Answers

Answer:

scale factor is: 1:4

the value of x is: x=4

Step-by-step explanation:

to find the answer, you do

x= √5² - 3² = √25 - 9 = √16 = 4

if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

Please Guyz I Want Full Solved Not Just Answer Please ​

Answers

Formula of surface area of cuboid = 2(lb+bh+lh) . Surface area of cuboid is 14800cm^2 (Given) then 14800 = 2(60*40+40*Height+Height*60) 14800= 2(2400+40*H+H*60) 14800= 4800+80*2H+2H*60 14800= 4880*4H*60 14800/4880*60= 4H
14800/292800=4H
7400/146400=4H
3700/73200=4H
1850/36600=4H
925/18300=4H
185/3660=4H
37/732=4H
37/732*4=H
37/2928=H
H= 79.1351351

Answer:

The height of cuboid is 50 cm.

Step-by-step explanation:

Given :

➺ Length of cuboid = 60cm➺ Width of cuboid = 40cm.➺ Surface area of cuboid = 14800cm²

To Find :

➺ Height of cuboid

Using Formulas :

[tex]\star\small{\underline{\boxed{\sf \pink{SA_{(Cuboid)} = 2(lb + bh + lh)}}}}[/tex]

»» SA = surface area »» l = length »» b = breadth »» h = height

Solution :

Substituting all the given values in the formula to find height of cuboid :

[tex]{\longrightarrow{\sf{SA_{(Cuboid)} = 2(lb + bh + lh)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(60 \times 40 + 40 \times h + 60 \times h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(2400 + 40h + 60h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(2400 + 100h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 4800 + 200h}}}[/tex]

[tex]{\longrightarrow{\sf{200h = 14800 - 4800}}}[/tex]

[tex]{\longrightarrow{\sf{200h = 10000}}}[/tex]

[tex]{\longrightarrow{\sf{h = \dfrac{10000}{200}}}}[/tex]

[tex]{\longrightarrow{\sf{h = \cancel{\dfrac{10000}{200}}}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{h = 50 \: cm}}}}}}[/tex]

Hence, the height of cuboid is 50 cm.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

please help ASAP! i have been struggling on this question and need help!

Answers

Answer:

841.53

Step-by-step explanation:

equation for annual intrest is

[tex]I*y^x=f[/tex]

where I is your initial amount, y is equal to [tex]1+(interest /100)[/tex]

and x is equal to the amount of years you're looking for, with f being the final balance

so for this questions, the equation is as follows

[tex]600*(1+7/100)^5=f\\600*1.07^5=f\\600*1.40255=f\\841.53=f\\[/tex]

The amount of milk in a carton is modeled by the equation y = 64 - 4x. The number of ounces of milk left
is represented by y. The number of servings of milk poured from the carton is represented by x.
4.) How many ounces of milk are in an unopened carton?
5.) How many ounces of milk are in each serving?

Answers

Answer:

-Below.

Step-by-step explanation:

4) When the carton is unopened the number of servings x = 0.

So there are 64-4(0) = 64 ounces in an unopened carton.

5) When all the milk has been poured out no. ounces left (y)  = 0 so

64 - 4x = 0

4x = 64

x = 16

So each serving contains 16 ounces of milk.

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