A rectangle is 6 feet long and 4 feet wide. If each dimension is increased by the same number of feet, a new rectangle is formed whose area is 39 square feet more than the area of the original rectangle. By how many feet was each dimension increased?​

Answers

Answer 1

Answer:

Each dimension increased by 3 ft.

Step-by-step explanation:

Area of the original rectangle = 4 * 6 = 24 square feet

Increased dimension = x ft

New length = 6 + x

New width = 4 +x

New area = (6 + x)(4 +x)    {Use FOIL method}

                = 6*4 + 6*x + x*4 + x*x

                = 24 + 6x + 4x + x²

                = x² + 10x + 24

New area = 24 + 39

x² + 10x + 24 = 63

x² +10x + 24 - 63 = 0

x² + 10x  - 39 = 0

x² + 13x - 3x  - 3*13 = 0

x (x + 13) - 3(x + 13) = 0

(x + 13)(x -3) = 0   {Ignore x + 13, as it gives negative value}

x - 3 = 0

x = 3


Related Questions

find x and y plz help :(

Answers

Answer:

D. x = 5.4, y = 6.67

Step-by-step explanation:

The triangles are similar as per problem description, so the ratios match:

y/5 = 4/3

x/3 = 9/5

let's solve:

y/5 = 4/3

3y/5 = 4

3y = 20

y = 6.(6)

x/3 = 9/5

5x/3 = 9

5x = 27

x = 5.4

D :) i’m just here for the points

Plz answer its so urgent!!!!!!!!!!!!!!!

Answers

Answer:

Option B (the pentagonal pyramid)

Step-by-step explanation:

Given the pentagram, we can see a pentagon in the middle. The pentagonal prism (option A) and pentagonal pyramid (option B) both have bases of a pentagon. However, their nets are different. Only the pentagonal pyramid's net is that of a pentagram. Therefore, option B is correct.

Will give brainliest if correct

Find the area of this triangle.
Round to the nearest tenth.
22 m
15 m
115°
11 m
[?] m2
Hint: Area of a Triangle = {ab sin(C)
Enter

Answers

Answer:

74.6

Step-by-step explanation:

The area of the given triangle in the image is 74.8m².

What is a triangle?

A triangle is simply a polygon with three vertices with three edges.

A scalene triangle is the triangle with no equal sides and angles.

It area can be calculated using the expression;

A = 1/2 × absinθ

Given the data in question;

Length of side a = 15mLength of side b = 11mLength of side c = 22mAngle C = 115°

To determine the area of the triangle, we substitute our given values into the expression above.

A = 1/2 × absinθ

A = 1/2 × 15m × 11m × sin( 115° )

A = 0.5 × 15m × 11m × 0.9063

A = 74.76975m²

A = 74.8m²

Therefore, the area of the given triangle in the image is 74.8m²

Learn more about area of triangle here: https://brainly.com/question/19305981

answer this please i`ll give brainliest

Answers

Answer:

40

Step-by-step explanation:

hudson plus his friends make 8

320/8=40

they each got 40 pennies

. Evaluate: y − (z + z^2); use y = 10, and z = 2

Answers

the answer is 4 because you use order of operations

What is the Y-Intercept of this table?

[tex]\left[\begin{array}{ccc}x&y\\5&16\\6&19\\7&22\end{array}\right][/tex]

Answers

The Y-Intercept would be on +4.

Answer:

The Y-intercept is 4 or (0,4) in a plot

Step-by-step explanation:

To find the Y-intercept you need to make the "x" zero so if you move 5 to 4 in the "x" plot you need to move 16 to 13

(Since 22 to 19 is -3 19 to 16 is -3 as well it is safe to say that the next number is 13)

Now continue until you reach 0 in the "x"

4 to 3 and 13 to 10

3 to 2 and 10 to 7

2 to 1 and 7 to 4

So the y-intercept is 4 or (0,4) in a plot

Hope this helps! Sorry if I am late

in a class, the ratio of boys to girls is four to three. if there are 20 boys in the class, how many girls are there? process plss

Answers

15 i think????jdjdnrndrnrnd

I need help asap thank you

Answers

Answer:

A) it's positive

B) 37/30 or 1 7/30

Step-by-step explanation:

Solve for x by factoring: x^2-30x+200=0

Answers

Answer:

x=20,10

Step-by-step explanation:

In Mrs Williams's math class, there
sre 14 boys and 10 girls. Which
statcinent is not true
The ratio ofboys to girls is 14:10.
b) The ratio of girls to boys is 7:5
e) The ratio ofboys to girls is 7:5
d) Theratio of girls to boys is 30:42
I need help

Answers

b. the ratio of girls to boys is 7:5

What’s the measure of ABC ??!?

Answers

Answer:

D; 46 degrees

Step-by-step explanation:

The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Arc AC is the intercepted angle of angle ABC. 92/2=46.

13) *
6 points
If a ticket for a single skydiving session is $28.50 and
there are 5 people in your group, how much would
the total amount for your group's tickets be after the
coupon is applied?
O $125.00
O $127.50
O $130.00
O $135.00

Answers

Answer:

A.

Step-by-step explanation:

10 Points for Answering Find x: 6x-8= 1/2 (4x+5)

Answers

Answer:

1

Combine multiplied terms into a single fraction

6−8=12(4+5)

6−8=1(4+5)2

2

Multiply by 1

6−8=1(4+5)2

6−8=4+52

3

Add

8

888

to both sides of the equation

6−8=4+52

6−8+8=4+52+8

10 more steps

Solution

=21/8

Step-by-step explanation:

6x-8=1/2(4x+5)
6x= 2x+5/2+8
6x-2x=5/2+8
12x-4x=5+16
8x = 21
X= 21/8

The phone case you want to buy is marked down 30% and you have a 25% off coupon. You pay 42 dollars. Can this equatio be used to find the original cost of the phone case?If so what is the original price of the item. Explain.

Answers

Answer:

Step-by-step explanation:

Original price = x

75% of 70% of x = $42

0.75*0.70x =$42

x = $42/(0.75*0.70) =$42/0.525 = $80

round 1,073 to the nearest thousand

Answers

Answer:

1000

Step-by-step explanation:

round up if 5 or bigger

round down if less than 5

Simplify the expression (2 + 3i) + (3 – 5i).
o
A. 5- 2i
B. 5 + 2i
C. 5i + 15
D. 13
E. 3

Answers

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i

-2 (x - 3) + 6 = - (x + 5)
Solve for x and SHOW WORK please :)

Answers

Answer:

x=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

-2x+6+6=-x-5

-2x+x=-5-6-6

-x=-17

x=17

Sheryl has a recipe for pasta with
vegetables. The recipe calls for
130 grams of vegetables and twice as
much pasta as vegetables. What is the
total mass in grams of the recipe?

Answers

Answer:

The Anwser Is 390 Because Add It All Up And You Got The Anwser

Answer:

390

Step-by-step explanation:

130 and then twice as much pasta, 130+130=260

Then add the vegetables: 130+260=390

390 is the total mass in grams

Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. How many bags of snack mix did they buy?

Answers

Answer:

6 bags of snack mix

Step-by-step explanation:

x bags of snack mix

y bottles of water

The equations in the question is given as;

20.00 = 2.50x + 1.00y  (i)

11 = x + y (ii)

From eqn (ii);

11 - y = x

substitute the value of x in eqn (i);

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00  - 27.5  = - 1.50 y

- 7.5 = - 1.50 y

y = - 7.5 / (- 1.5) = 5

Since we are interested in the value of x. Substitute the value of y in eqn (ii);

11 = x + 5

x = 11 - 5 = 6

Geometry please help-
If HI and JI are tangent segments, what is the measure of angle HJI?

Answers

66°

there are 180° in a triangle so do 180-48 to get 132. this gives you the values for both of the other angles together as it is an isosceles triangle. to find the one angle divide this by 2 to get 66°

Answer:

68°

Step-by-step explanation:

We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.

8+4+10-4?? how to do ??

Answers

Answer:

18

Step-by-step explanation:

Just go in the order as is. You add the 3 numbers together, 8+4=12+10=22, then subtract off 4, 22-4=18.

Answer:

18

Step-by-step explanation:

break it down!

8 + 4 = 12

12 + 10 = 22

22 - 4 = 18

(a calculator also helps if you're unsure)

Help this is due in a few minutes​

Answers

Answer:

Either b or e

Step-by-step explanation:

Answer:

C and E for sure and then it's either B or D. hope this helps lol

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Solve for X. Please help ASAP! I have no idea how to do this and it’s due really soon!

Answers

Answer:

2

Step-by-step explanation:

5x+6=7x-2

5x+4=7x

4=2x

4/2

2

Function in graphing vertex form

Answers

Answer:

whats the questiong tho

Step-by-step explanation:

A cube has the width of 6 cm.What is the volume ofcthe cube?

Answers

Step-by-step explanation:

Yᴏᴜʀ ᴀɴsᴡᴇʀ ɪs ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ...

Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ

Answer:

216

Step-by-step explanation:

l x h x w\

or

length times height times width

solve а) 3х - 5 = 13​

Answers

Answer:

6

Step-by-step explanation:

3х - 5 = 13

     +5   +5

3x=18

/3   /3

x=6

A gym membership charges an initial
fee of $ 125 plus a $25 fee every
month. Another gym only charges $50
every month. After how many months
will the total cost for both gyms be the
same?

Answers

Answer:

the gym that has 150, will take 2 months and the gym that has 50 will take 6 months

first gym:

150

300

second gym:

50

100

150

200

250

300

1/2 (24) (7)
answer the question quick​

Answers

Answer:

84 is your answer

Step-by-step explanation:

please mark me the brainlist

Answer:

84

Step-by-step explanation:

[tex]\frac{1}{2}*24*7 =[/tex] 12 * 7 = 84

108 divided by 2 1/2

Answers

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

Know more about division,

brainly.com/question/10703980

#SPJ6

Other Questions
3. Find any three rational numbers between 1/2 and 3/2 Salutary neglect also called benign neglect characterized the relationship between the British empire and its America colonies from the mid 1600s until the end of the seven years war what did salutary neglect entail UUIn multicellular organisms, different types of cells can perform different functions. This is best described asO developmentgeneralizationspecializationgrowth how much water do have to drink everyday? List the three layers of the rainforest Carbon Cycle activity part 2(photos attached) The chart below shows the rabbit and fox populations in Boxerville over the last year. Of the choices below, in which month were the populations of rabbits and foxes closest to being equal?A. November B. AugustC. OctoberD. September HELP PLEASE IM STUCK Last January, the average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, andseveral changes have been made to the cost of staying at the hotel. Last summer, the new owners adjusted room prices so that the average cost of a one-night stay increased by $34.65.Last December, the new owners offered a $57.80 per night discount to guests who belong to their loyalty club.. Last week, the new owners introduced a service fee of $4.95 for any reservation made over the phone.How much should a customer expect to pay for a one-night stay if they are a member of the hotel's loyalty club and maketheir reservation over the phone? How can students in the photograph use the net to sample the invertebrates in the river. James works on his math work for 7/8 of an hour. He works on his science for 5/8 of an hour. How much longer does James work on math than on science? Enter your answer as a fraction in simplest form by filling in the boxes. IT AN EMERGENCY PLEASE ANSWER FAST Can someone please solve this Help me today I should give it to my teacher. What are Jack and Jill looking for?le LapinMamana dooran exit Please help. Will give brainliest. Should students attend HBCU's (Historically Black College or University) or PWI's (Predominantly White Institution) When Tom Benecke sees the paper outside his apartment window, he does what?In Content Of a dead Mans Pocket We make comparisons for two reasons:1._________2.________Pls help my grades arent the best Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x + y = 3 3. Which of the following is determined by theforce of gravity?A weightB momentumC massD distance