The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
rectangle

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Answer:

75 degrees

Step-by-step explanation:

From the first part of the diagram,

vertically opposite angles are equal,

hence we have

125° + (4x-5)° + 125° + (4x-5)° = 360°

(Angles about a point equals 360°)

4x – 5 + 4x – 5 + 125 + 125 = 360

8x + 250 – 10 = 360

8x = 360–250 + 10

8x = 120

x = 15°

Now we have (5x)° in the second part.

5x = 5 × 15 = 75°

1 is vertically opposite to angle 75°

hence it is equal to 75 degrees.

Answer:75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle opposite to 6 is complementary of α:

Similarly, angle opposite to side 4 of the triangle in the right side is:

Sum of the interior angles of the triangle on the bottom:

From the smaller triangles we get:

Use the identity below and find the value of tan γ:

Answer:

C

Step-by-step explanation:

b=360-2(65)=360-130=230

Answer:

230

Step-by-step explanation:

b= 360-2(65)

=360-130

=230

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

Answer:

rational

Step-by-step explanation:

it can be written as a fraction

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

Answer:

C

Step-by-step explanation:

As the legs and hypotenuse are same, these triangles are congruent by HL congruency

Answer:

[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]

Step-by-step explanation:

Los parámetros dados son;

El producto de los dos números = 880

El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880

Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;

x × y = 880

(x + 20) × y = 880 + 260

Tenemos;

(x + 20) × y = x × y + 20 × y = 880 + 260

∴ 20 × y = 260

y = 260/20 = 13

y = 13

x = 880 / y

∴ x = 880/13

La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]

graphed it with desmos (free as app and website).

the solutions are in the screenshot

(1, 3)

(3, 7)

Answer:

If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle

OR

You can also find it by congurency.

Hope this helps

3(y+11) y=12

3(12+11)=?

12+11=23

3x23=69

Answer = 69

I hope this helps :)

Answer:

The value is -10

Step-by-step explanation:

Answer:

11,968

Step-by-step explanation:

I'm not sure, but I think its 11,968

Answer:

c

Step-by-step explanation:

-7.5 is less than 6.5

Answer:

34

Step-by-step explanation:

Perimeter,

2×(8+5+4)

= 34 units

Answered by GAUTHMATH

Answer:

They got 3.00 back

Step-by-step explanation:

Since they both bought a book it means you have to double the price of one book.

3.50+3.50=7.00

Then since you are looking for the difference of 10.00 you would subtract it.

10.00-7.00=3.00

Answer:

√7

Step-by-step explanation:

Let :

AC = x

BD = y ; AD = 3 - y

Since, AD = BC

Then BC = 3 - y

Taking △BDC a d applying Pythagoras

Hypotenus² = opposite² + adjacent²

BC² = CD² + BD²

(3 - y)² = (√3)² + y²

9 - 6y + y² = 3 + y²

-6y + y² - y² = 3 - 9

-6y = - 6

y = 1

AD = 3 - y ; AD = 3 - 1 = 2

Taking △ADC

AC² = CD² + AD²

AC² = (√3)² + 2²

AC² = 3 + 4

AC² = 7

AC = √7

Step-by-step explanation:

here's the answer to your question

Answer: 135

Step-by-step explanation: Write 150% as 150/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 150/100 of 90= 150/100 X 90

Therefore, the answer is 135

If you are using a calculator, enter 150÷100×90 which will give you 135 as the answer.

150 percentage of 90 is 135 which we obtained by multiplying 1.5 with 90.

"Percent" means "per hundred," so when we say "150%," it means 150 per hundred or 150 out of 100.

To find 150% of 90, we can use the following formula:

150% of 90 = (150/100) × 90

Convert 150% to a decimal.

To do this, divide 150 by 100:

150/100 = 1.5

Multiply the decimal value by 90:

1.5 × 90

= 135

So, 150% of 90 is 135 which means that 135 is 150% of 90, which is equivalent to saying that 135 is 1.5 times larger than 90.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ6

Answer:

v = 3

General Formulas and Concepts:

Pre-Algebra  

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

12v + 10v + 14 = 80

Step 2: Solve for v

9514 1404 393

Answer:

  (d)  Right, scalene

Step-by-step explanation:

The little square in the upper left corner tells you that is a right angle. Any triangle with a right angle is a right triangle. This one is scalene, because the sides are all different lengths.

__

Additional comment

An obtuse triangle cannot be equilateral, and vice versa.

An equilateral triangle has all sides the same length, and all angles the same measure: 60°. It is an acute triangle.

Answer:

15-37 or -37+15

Step-by-step explanation:

Answer:

A = Pi (8 w**4)**2

Step-by-step explanation:

C = 16 Pi w**4 (given)

C = 2 Pi R (stand forula)

So then find R in terms of w by settting C = C from above

2 Pi r = 16 Pi w**4

2R = 16 w**4

R = 8 w**4

SO

A = Pi R**2

A = Pi (8 w**4)**2

Answer:

Step-by-step explanation:

If x represents the number of long-sleeved shirts and each of these cost $14, then the expression for that is 14x; likewise for short-sleeved shirts that are represented by y. The expression for short-sleeved shirts that cost $10 apiece is 10y. Putting that together with the fact that they earned less than $200 when selling these at the same time, the inequality is

14x + 10y < 200

Answer:D i just got it right trust mw

Step-by-step explanation:i

Answer:

a) the angle ABC is approximately 106 degrees b) 24

Step-by-step explanation:

1) Using the law of cos

AC*AC= AB*AB+BC*BC-2*AB*BC*cosB

8*8= 5*5+5*5-2*5*5*cosB

64= 50- 50c0sB

cosB= 14/(-50)= -7/25.

B= arccosB= arccos(-7/25)= 106degrees.

2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625

sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)

3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)

Answer:

right the box in the corner means it's a 90 degree angle or a right angle

Answer:

right

Step-by-step explanation:

The box in the corner means the angle is 90 degrees, which means it is a right angle.  That means the triangle is a right triangle

Answer:

Step-by-step explanation:

Choice A is the only one that is applicable.

Answer:

A. F(x) has 1 relative minimum and maximum.

Step-by-step explanation:

[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]

As x and F(x) tend to positive and negative infinity:

[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]

❎So, B and C are excluded.

Roots of the polynomial:

[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]

❎, D is also excluded.

✔, A

The derivative of a function f(x) is defined as

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]

For f(x) = 3x ² + 4, we have

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x+h)^2+4) - (3x^2+4)}h[/tex]

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x^2+2xh+h^2) - 3x^2}h[/tex]

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{6xh+3h^2}h[/tex]

[tex]f'(x)=\displaystyle\lim_{h\to0}(6x+3h) = \boxed{6x}[/tex]

Answer:

(-150, 45)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

My best guess from the graph is

(-150, 45)