15. Given Square ABCD, if AB = 2x + 4 and
CD = 3x - 5, find BC.

Equation: _____
X = _____
BC = _____

Answer:

2 3/20 metres

Step-by-step explanation:

Area of the rug = Length × width

Given

Area = 7 1/6 metres = 43/6 m

Length = 3 1/3 metres = 10/3 m

Required

Width

From the formula

A = LW

W = A/L

Substitute the given values

W = 43/6÷10/3

W = 43/6×3/10

W = 43/2 ×1/10

W = 43/20

W = 2 3/20 m

Hence the width of the rug is 2 3/20 metres

Answer:

32

Step-by-step explanation:

7 x 6 is 32 so u get that

Answer: 50.5

Step-by-step explanation:

If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3

The value of the angle,x=50.531°. The angle is obtained by the sin law.

A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

From the sin rule;

[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]

For the same angles;

[tex]\rm \angle ACB=\angle BCD[/tex]

From the exterior angle theorm ;

[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]

∠CBD=x

∠ABD=78°

Putting the obtained values;

27.469°+x=78°

x=78°-27.469°

x=50.531°

Hence,the value of the angle,x=50.531°.

To learn more about triangle refer;

https://brainly.com/question/25813512

#SPJ2

Answer:

The answer is A

Explanation:

I just took this quiz.

Answer:

4x + 1 is the simplified expression

Step-by-step explanation:

We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.

The first step involves mulitplication and distribution property:

1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)

2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).

Bow the expression is almost simplified as it is:

2x + 1 -(-2x)

The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:

3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.

4) Now we know that -(-2x) is the same as: + 2x.

5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.

Hope you understood this and have a nice day!

Answer:

y=-7x-16

Step-by-step explanation:

Answer: x = 6

Step-by-step explanation:

3x - 6.59 = 11.41

Add 6.59 to both sides

3x = 18

Divide both sides by 3

x = 6

Hope that helped!

Answer:

I have the same question,

Step-by-step explanation:

Answer:

i think you are correct.

Step-by-step explanation:

Answer:

a) 13%

b) 45%

c) 16%

Step-by-step explanation:

To calculate what percentage is one number (a) of another (b), you have to divide a by b and then multiply result by 100. In this case number of students with grade A is 4, total number of students is 31,  therefore 4/31 * 100 = 12.9%. Rounding it to the nearest percentage will give you 13.

Just repeat the same steps for the remaning questions.

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Answer:

536

Step-by-step explanation:

4 paws on each cat, multiply by the amount of cats = 536

Answer:

that hiw you do it .hope it helps

ask me if you don't understand something

Step-by-step explanation:

thankyou...

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]

Answer:

10x+10

Step-by-step explanation:

distrubute 4(x+10)-30+6

subctract 4x+40-30+6

combine 10x+10

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

Step-by-step explanation:

so why you are asking?????

Answer:

Step-by-step explanation:

L is 11

H is 48

Q2 = (32 + 33) / 2 = 32.5

Q1 is 23

Q3 is 46

2) The distribution is skewed right

hope this helps :)

Answer:

Volume = 12,300

Step-by-step explanation:

20 x 30 = 600

600 x 20.5 =12300

Answer:

Volume of the box is length ×breadth×height

[tex]20 \times 30 \times 20 \frac{1}{2} \\ = 600 \times \frac{41}{2} \\ = 12300[/tex]

Answer:

X: x=3-3/5y

Y: y=5-5/3x

Step-by-step explanation:

For X:

-3y on both sides will result in:

5x=15-3y

5x/5=15/5-3y/5 (divide 5 on both sides)

x=3-3/5y

For Y:

-5x on both sides will result in:

3y=15/3-5x/3 (divide 3 on both sides)

y=5-5/3x

please mark brainliest

Answer:

-4,9

Step-by-step explanation:

(its kind of confusing but i will try my best to help) i get that anwser from the x      cordinate -4 and y coordinate 9  

Answer:

slope: -4, y intercept: (0, -5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). [tex]\frac{5\pm\sqrt{-4}}{3}[/tex] = [tex]\frac{5}{3}\pm \frac{\sqrt{-4}}{3}[/tex]

               = [tex]\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}[/tex]

               = [tex]\frac{5}{3}\pm\frac{2i}{3}[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]

b). [tex]\frac{10\pm\sqrt{-16}}{2}[/tex] = [tex]\frac{10}{2}\pm \frac{\sqrt{-16}}{2}[/tex]

                  = [tex]5\pm \frac{4\sqrt{-1}}{2}[/tex]

                  = 5 ± 2i [Since, i = [tex]\sqrt{(-1)}[/tex]]

c). [tex]\frac{-3\pm \sqrt{-144}}{6}[/tex] = [tex]-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}[/tex]

                    = [tex]-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}[/tex]

                    = [tex]-\frac{1}{2}\pm 2\sqrt{-1}[/tex]

                    = [tex]-\frac{1}{2}\pm 2i[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]

Answer:

It is: (f(2) - f(0))/(2 - 0)

f(2) = 250(0.5)(2) = 250

f(0) = 250 (0.5)(0) = 0

So: (250 - 0)/(2 - 0) = 250/2 = 175

The average rate of change is 175.

Step-by-step explanation:

Answer:

It's 6 in scientific calculator

Step-by-step explanation:

Hope it helps bye have a good day!

Answer: 1.20133333333 repeatedly

Volume of cuboid =l×b×h

area of base of the cuboid =l×b

hence

volume of cuboid is = area of base × height

140=88×h

h=140÷88

h=5

Answer:

7.5 hours

228 ÷ 6

38 × 7.5 = 285

Answer:

t > -2

Step-by-step explanation:

Since the graph is not continuous at -2, thus it is not included!

Answer:

C

Step-by-step explanation:

N = st

Number of toothpicks = (number of students) x (toothpicks)

D.

Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation: