Do you know the answer? if you do I will follow you mark you the best.

Answer:

x = 4 cm

Step-by-step explanation:

The area of an rectangle is the product of its length and its breadth.

From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:

Area of the rectangle = length × breadth = (13+x)(7+x)

But the area = 187 cm,

⇒ 187 = (13+x)(7+x)

187 = x² + 20x + 91

Subtracting 187 from both sides

x² + 20x + 91 - 187 = 187 -187

x² + 20x - 96 = 0

x² + 24x - 4x - 96 = 0

x(x + 24) - 4(x + 24) = 0

(x - 4)(x + 24) = 0

x - 4 = 0 or x + 24 = 0

x = 4 or x = -24

Since x cannot be negative therefore, x = 4 cm

Length = 13 + 4 = 17 cm

Breadth = 7 + 4 = 11 cm

Answer:

So first lets find g(-1)

so we plug in the answers:

-2 * -1 ^2 -4

-2*1-4 = -2-4 =

-6

Now lets solve for f(-2)

-2^2-3

4-3=1

-6+1 = 5

3*5 = 15

Im getting answer of 15 but it shows -15 or something, so I dont know if I got it wrong or if its like a dash then the answer.

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Answer:

D.(-1,-5) and (5,7)

Step-by-step explanation:

I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.

Option D should be the correct answer.

Answer:  [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c²   , where "c" is the hypotenuse

[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]

Note: 12² + opposite² = 20²   →   opposite = 16

[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]

Note: adjacent² + 5² = 6²   →   adjacent = √11

[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

Answer: A - 42

Step-by-step explanation:

Let x= ones digit, y=tens digit

1st (original number) :

7(x+y)=10y + x

2nd (new number by reversing the digits): 18+x+y=10x+y

simplifying:

1st condition: 6x=3y

2nd condition: x=2

substituting x=2 to 6x=3y

y=4

Answer:

The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL

Step-by-step explanation:

D. 2322.50

Step-by-step explanation:

I hope it's right.

Answer:

4,000,000,000,000

Step-by-step explanation:

Make it look like this first:

[tex]\frac{6*10^8}{1.5*10^-4}[/tex]

You get:

[tex]4*10^{12}[/tex]

Which is 4,000,000,000,000

Answer:

n+6

Step-by-step explanation:

sum means add

n+6

Answer:

a) 14

b) green

c) fraction 6/14

percentage: 42.8% rounded: 40%

not sure about the decimal tho

Answer:

a) 14

b) green

c) 6/14

d)percent 42.8 %

round up 40 %

Answer:

8 nickels and 18 dimes

Step-by-step explanation:

Make a system of equations:

n + d = 26

5n +10d = 220

Solve by elimination by multiplying the top equation by -5. This gives you:

-5n -5d = -130

5n +10d = 220

Then solve to get 5d= 90, then d= 18.

Then plug 18 for d in the equation n + d= 26, so n + 18= 26

n= 8

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2  sets of base angles are equal.

As the base angles are congruent  m < E = m < R.

So the are  2 triangles are congruent by SAS,  ASA and AAS.

Answer:

  A. 45.77 kg

Step-by-step explanation:

The measurement with the smallest difference from 45.76 is 45.77 kg.

Answer:

[tex]7a^2b^2\left(a-2b\right)[/tex]

Step-by-step explanation:

[tex]7a^3b^2 - 14a^2b^3[/tex]

[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]

[tex]=7a^2b^2\left(a-2b\right)[/tex]

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

Answer: 140 km

Step-by-step explanation:

240 km in 3 hours

1 3/4 hours = (1 3/4 / 3) x 240

= (7/4 / 3) x 240

= 7/12 x 240

= 7 x 20 = 140

Answer:

A (1,0), B (3,0) Q (2,-1) P(0,3)

Step-by-step explanation:

A(1,0) B (3,0) these are the roots of the current graph so the factors or the x-intercepts.

Q is the minimum so it is halfway between the x-intercepts

halfway = 3+1/2 , x=2

plug x=2 into the equation

y=(2-1)(2-3)

y=  -1

therefore Q = (2,-1)

P is the y-intercpet when x=0, so plug x=0 into the equation

y=(0-1)(0-3) = 3

therefore Q =

(0,3)

Answer:

The answer is C 3- sqrt 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

Answer:

B

Step-by-step explanation:

When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.

6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!

Answer: 60miles/hours

Step-by-step explanation:

From the question, a bus travels the 240 miles from Boston to New York and the bus departs at 11:00 a.m. and arrives in New York at 3:00 p.m. The time taken by the bus is (3:00pm - 11:00am) = 4 hours.

Average speed = Distance/Time

Average speed =240miles/4 hours

Average speed= 60miles/hours

The the average speed of this bus is 60miles/hour.

Answer:

x = ± ( 5√5 - 3 ) / 2

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

[tex]( 2x + 3 )^{ 2 } = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2[/tex]

Solution ; x = ± ( 5√5 - 3 ) / 2

Answer:

A round plane figure whose boundary (the circumference)consists of points equidistant from a fixed point (the center)

Answer:

A round plane figure

Step-by-step explanation:

Answer:

Let's see the first two points: (-7, 5) and (-5, 9)

The line passes these points has a form of: y = Mx + b

=> 5 = (-7)M + b

   9 = (-5)M + b

Subtract the 1st equation from 2nd equation, we have:

4 = 2M

=> M = 2

Substitute M back into 1st equation:

=> 5 = (-7)*2 + b

=> b = 19

=> y = 2x + 19

or y - 5 = 2x + 14

or y - 5 = 2(x + 7)

=> Option A is correct

Hope this helps!

:)

Answer:

A

Step-by-step explanation:

The difference between the values of y are constant, that is

17 - 13 = 13 - 9 = 9 - 5 = 4

This indicates the relationship is linear.

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table

m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Use any ordered pair from the table for (a, b)

Using (a, b) = (- 7, 5), then

y - 5 = 2(x - (- (- 7)) , that is

y - 5 = 2(x + 7) → A

Answer:

2x²  +  3x  - 1   - 5/(5x +2)

Step-by-step explanation:

               2x²  +  3x  - 1  

             __________________            

  5x + 2 |   10x³ + 19x² + x - 7

             |  -10x³ -   4x²  

             |              15x² + x

             |            - 15x² - 6x  

             |                     - 5x  - 7

             |                      5x   +2

             |                             - 5

2x²  +  3x  - 1   - 5/(5x +2)

Answer:

(-3)^3 x^5

Step-by-step explanation:

x*x*x*x*x *(-3)*(-3)*(-3)

There are 5 x terms

x^5

There are 3 (-3) terms

(-3)^3

Multiply theses together

(-3)^3 x^5

The right answer is (-3)^3 x^5

please see the attached picture for full solution

hope it helps...

Good luck on your assignment..

Answer:

Yes, they are congruent

Step-by-step explanation:

They are congruent because they both have same length sides

Answer:

9.46 ft

Step-by-step explanation:

Law of sines

10/sin(90)=x/sin(71)

x=(sin(71)*10)/sin(90)

x=9.46

Answer:

16

Step-by-step explanation:

1/2*1/2*1/2 = 1/8 cubic units

2/(1/8) = 16

Answer:

16

Step-by-step explanation:

[tex](\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}\\\frac{2}{\frac{1}{8}} = 2 \cdot 8 = 16[/tex]