2 The length of this rectangle is x cm.
a The width of the rectangle is 2 cm less than the length.
Write down an expression for the width of the rectangle, in centimetres.
b The perimeter of the rectangle is 84 cm. Write down an equation to show this.
c Solve the equation.
d Find the area of the rectangle.

Answers

Answer 1

Answer:

a. The width of the rectangle is x-2cm

b. length is 21.5 cm and breadth is 19.5cm

c. area is 419.25 cm sq.

Step-by-step explanation:

Let the length be x and the breadth be x-2

perimeter = 84 = 2(l+b) = 2×(x+x-2)

2×(2x-2)=84

4x-2 = 84

4x = 86

x= 86/4

x= 21.5

length is 21.5 and breadth is 21.5-2 = 19.5

area = l×b

= 21.5 ×19.5

= 419.25cmsq.

hope it helps


Related Questions

Solve. Can someone help me? I only have one try left
3(x−10)=−9

Answers

Answer:

x=7

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

3(x-10)=-9

3x-30=-9

3x-30+30=-9+30

3x=21

x=7

18.5 ft, 6 ft, 17.5 ft

Answers

What is the question?

Answer:

yes, it is a right triangle.

Step-by-step explanation:

you could use the pythagorean theory to check:

[tex]a^{2} + b^{2} = c^{2}[/tex]

(the hypotenuse is the longest side)

[tex]17.5^{2} + 6^{2} = 18.5^{2}[/tex]

[tex]306.25 + 36 = 342.25[/tex]

[tex]342.25 = 342.25[/tex]

Help? Total surface area

Answers

I’m pretty sure 30 because you multiply 10x3 I’m sorry if I’m wrong I haven’t done Surface Area in a long time

f(x) = 3x - 3
g(x) = 4x + 5

find (f+g) (3)

Answers

Answer:

23

Step-by-step explanation:

(f + g)(3) = f(3) + g(3)

f(3) = 3(3) - 3 = 9 - 3 = 6

g(3) = 4(3) + 5 = 12 + 5 = 17

Then

(f + g)(3) = 6 + 17 = 23

I got this find the perimeter of the rectangle length= 2x width= 10 + x i dont understand, can someone explain???

Answers

Answer:

6x + 20

Step-by-step explanation:

the formula for the perimeter of the rectangle is 2 x (length + width)

from the question length = 2x

width = 10 + x

2(2x + 10 + x)

2 (3x + 10 )

6x + 20

(07.01)
Colton solved an equation incorrectly, as shown below:
Step 1: x - 13 = 26
Step 2: x = 26 - 13
Step 3: x = 39
Which statement best explains why Step 2 is incorrect in Colton's solution? (4
points)
He did not divide 26 by 13.
He did not multiply 26 by 13.
O He did not subtract 13 from 26.
He did not add 13 to 26.

Answers

Answer:

He didn't add 13 to 26

Step-by-step explanation:

he would need to add -13+13 to get rid of it. and add 13 on the other side 13+26

He added instead of subtracting. The answer is the first.

how many 2/5's are in 3

Answers

Answer:

7.5

Step-by-step explanation:

Divide 3 by 2/5

3 divided by 2/5 = 7.5

Answer:

7.5

Step-by-step explanation:

when you do 2/5 it = 0.4 then you do 3/0.4 and you get 7.5

a shopkeeper mixed 15.25 kg of hazelnuts with 4.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box?​

Answers

Answer:

4kg

15.25 + 4.75 = 20

20/5 = 4

Step-by-step explanation:

Answer:

4 kgs

thats the sum by 5

hope it helps

Someone help me please

Answers

Answer:

I need points so sorry i can't answer it :(

Step-by-step explanation:


Design An art class is making a mural for their school which has a triangle drawn in the middle. The
length of the bottom of the triangle is x. Another side is 13 more than two times the length of the
bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.
What is the expression for the perimeter of the triangle?

Answers

Answer: [tex]4x+23[/tex]

Step-by-step explanation:

Given

The length of the bottom of the triangle is x

Another side is [tex]2x+13[/tex]

The last side is [tex]x+10[/tex]

Perimeter is the sum of the side of triangles

[tex]\Rightarrow \text{Perimeter}=x+2x+13+x+10\\\Rightarrow \text{Perimeter}=4x+23[/tex]

9. Jen’s lawn mowing service charges $28 an hour plus a $15 fee to cover gas
for the mower. Malcolm's lawn service charges $16 an hour, but a $63 fee. For
how many hours will Jen's service be cheaper than Malcolm's?

Answers

Answer:

looks like 3 hours

Step-by-step explanation:

at 4 hours its equal

Solve for x. Round answer to the nearest tenth (0.1).

Answers

Answer:

x = 9.9

Step-by-step explanation:

This is a isosceles triangle, with sides measurements (1 , 1 , √2), and the angles being (45° - 45° - 90°). Note that the side measurements of 1 is opposite of that of a 45°, while the measurement of √2 is opposite of that of 90°.

In this case, multiply. The side measurement of 1 has 7.

1 x 7 = 7

In the same, you must multiply 7 with √2

x = 7 * √2 = 7√2.

√2 = ~1.414

7 x 1.414 = 9.898

Round to the nearest tenth:

9.898 rounded to the nearest tenth = 9.9

x = 9.9

~

Answer:

9.9 is your answer

Step-by-step explanation:

by using Pythagoras law

p²+b²=h²

7²+7²=x²

x=√{2×49)=7√2or 9.9 is your answer

calculate the volume of this cylinder, giving your answer to 1 decimal place 9cm height 20 cm length

Answers

Answer:

volume is approximately 286.03 cm

Step-by-step explanation:

please mark me brainliest.

Which values are solutions to x < 10?​

Answers

Answer:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -1, -2, -3, -4, -5 (continous stream of negitive values)

Step-by-step explanation:

Please help!!! I will mark you brainiest!

Find the exact value of [[23]]

Answers

16 is the answer to this

Answer:

16 is your Correct answer. Thanks.

Amy needs to buy 12 notebooks and a pack of pens from the store. The pack of pens cost $2.50 and she has a budget of $30. Which inequality represents the situation if a represents
the maximum amount she can spend on each notebook?
A 12.6 +2.50 > 30
B) 12 +2.50.3 < 30
C) 12. + 2.50 < 30
D 12 +2.50 < 30

Answers

I think it’s c, because if the . next to the 12 means x then yes. There should be an c near 12 because we have no clue how much the notebooks are. If the . doesn’t mean x then it should be d.

please help what does QPR equal?

Answers

Answer:

<QPR=25

Step-by-step explanation:

(8x+7)+(9x+16)=40

17x+23=40

17x=17

x=1

9x+16

25

<QPR=25

Find the base of a triangle whose altitude is 12 cm and area is 96 cm

Answers

Given:

Altitude of a triangle = 12 cm

Area of the triangle = 96 sq. cm

To find:

The base of the triangle.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

Putting Area = 96 and height = 12, we get

[tex]96=\dfrac{1}{2}\times base\times 12[/tex]

[tex]96=6\times base[/tex]

Divide both sides by 6.

[tex]\dfrac{96}{6}=base[/tex]

[tex]16=base[/tex]

Therefore, the base of the triangle is 16 cm.

I'm awarding 20 points for an answer!

A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h (t)=-16t^2+48t+4.

In how many seconds will the ball reach its maximum height?

Answers

Answer:

Step-by-step explanation:

h(t)=-16t^2+48t+4

dh/dt=-32t+48

d2h/dt2=-32

Since acceleration is always negative when the velocity, dh/dt=0, it will occur at the maximum height.

dh/dt=0 when

-32t+48=0

-32t=-48

t=1.5 seconds

Without calculus, the vertex of a parabola will be at -b/(2a) of the quadratic equation. In this case

-48/(2(-16))

-48/-32

1.5 seconds

Help needed qwp!

The table shows information about the type and numbet of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?​

Answers

the answer would be c. 54

question in photo—————————-

Answers

Answer:

(-6,8)

Step-by-step explanation:

SANA NAKATULONG AKO

CORRECT ME IF I WRONG

Answer:

(-6, - 8)

Step-by-step explanation:

[tex]\begin{cases}y = x - 2....(1)\\ \\2x + 4 = y....(2)\end{cases} \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2x + 4 = x - 2 \\ \\ 2x - x = - 2 - 4 \\ \\ x = - 6 \\ \\ y = - 6 - 2 \\ \\ y = - 8 \\ \\ (x \: \: y) = ( - 6 \: \: - 8)[/tex]

y Varies directly as the product of M and N and inversely as their
Sum. if y = 4, when N=2 and m= 1, What is the value of y when M=6
and N=5.​

Answers

Answer:

60

Step-by-step explanation:

i think its the answer because 2(5×6)

2/5+7/15 in its simplest form

Answers

Answer:

13/15

Step-by-step explanation:

First convert the fractions to have a common denominator

2/5 = x/15

Cross multiply

2 × 15 = 5 × x

30 = 5x

Divide both sides by 5 to isolate the variable

30 ÷ 5 = x

6 = x

Plug x into the new fraction

6/15

Now add this to the other fraction

6/15 + 7/15

Only add the numerators. The denominators will remain the same number

6 + 7 / 15

13/15

It cannot be reduced anymore so this is simplest form

Please find the areas for these different shapes it would really help tysm

Answers

1-
Answer:
12

Explanation:
Let’s divide the shape into two triangles and a rectangle.
triangle area = base x height /2
= 2 x 4 /2
= 8 / 2
= 4
The other triangle is identical, so also 4.
Rectangle area = length x width
= 1 x 4
= 4
Add them: 4 + 4 + 4 = 12, which is the total area.

helpppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

Go from left to right

Hope this help! have a Great night!

is 1 degrees acute obtuse or right angle or straight angle in protactor​

Answers

The answer is acute. Acute angle is any angle less than 90 degrees. There is no such thing as a 0 degree angle. But there is 180 which is a straight line. Any angle more than 90 degrees is obtuse

Probability of blue is 0.4 red 0.3 yellow 0.3 there are 30 blue cubes in box what total number of cubes in box

Answers

Answer:

75

Step-by-step explanation:

The computation of the total number of cubes in box is shown below:

Given that

The probability of blue = 0.4

For red it is 0.3

And, for yellow it is 0.3

As if there is 30 blue cubes in a box

So for red it is = 30 × 0.3 ÷ 0.4 = 22.5

And, for yellow = 30 × 0.3 ÷ 0.4 = 22.5

Now the total number of cubes in a box is

= 30 + 22.5 + 22.5

= 75

Determine the slope-intercept equation of a line with a slope of 3/2 that passes through (2, -1).

Answers

Answer:

[tex] \orange{ \bold{y = \frac{3}{2}x -4 }}[/tex]

Step-by-step explanation:

Slope of line (m) = [tex] \frac{3}{2} [/tex]

Line passes through the points [tex] (2,\:-1)=(x_1, \:y_1)[/tex]

Equation of line in point slope form is given as:

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

Plug the values of m, [tex] x_1\: \&\: y_1[/tex] in the above equation, we find:

[tex]y - ( - 1) = \frac{3}{2} (x - 2) \\ \\ y + 1 = \frac{3}{2}x - \frac{3}{2} \times 2 \\ \\ y + 1 = \frac{3}{2}x -3 \\ \\ y = \frac{3}{2}x -3 - 1 \\ \\ \purple{ \bold{y = \frac{3}{2}x -4 }}\\ \\ [/tex]

This is the required equation of line in slope-intercept form.

what angle are they ​

Answers

i need points yk, plz give brainliest

Answer:

adjacent angles

Step-by-step explanation:

they dont make a straight line so they arent supplementary. they arent complementary because they dont make a right angle

Pls help with finding slope and y intercept from 2 points‼️‼️❗️❗️❗️❗️

Answers

step 1: plot your points.

step 2: find the rise over run

step 3: place the rise over run in decimal form. say its 5 to the side and 2 up 2/5 (if it was a negative rise such as 2 down it would be -2/5)

step 4= find where it crosses the y line such ex: 0,8 it would be 8 (if it were negative it would be 0,-8: -8)

then put in y intercept form: y=2/5x+8

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