An isosceles triangle has vertices at (-5, 4), (2, 4) and (-1.5, -3.5). Each of its two congruent sides are 8.3 units long. Calculate both the area and perimeter of the triangle. Explain or show you got your answers.

Answer:

  √53 ≈ 7.3 miles

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.

__

If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...

  c² = a² +b²

  c² = 2² +7² = 53

  c = √53 . . . . . exact corner-corner distance in miles

  c ≈ 7.3 . . . . . . approximate corner-corner distance

The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.

Answer:

length and width are x + 6 and 5x - 7y

Step-by-step explanation:

5x² + 30x - 7xy - 42y

= 5x(x + 6) - 7y(x + 6)

= (x + 6)(5x - 7y)

so

length and width are x + 6 and 5x - 7y

Answer:

10) 44° (nearest degree)

11) 136.6 units² (nearest tenth)

12) 47.8 units² (nearest tenth)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

All 20 people must go as one group if they want to save $500.

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

Answer:

$32

Explanation:

40 x .2 = 8

40 - 8 = 32

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

Answer:

Step-by-step explanation:

1/7×2/3=2/21

Solution with Steps

1/7×2/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×2 and 7×3=2/21

This fraction cannot be reduced.

Therefore:

1/7×2/3=2/21

Solution by Formulas

Apply the fractions formula for multiplication, to

1/7×2/3

and solve

1×2 and 7×3

=2/21

Answer:

1/7 × 2/3 is 2/21

becuase, if you times the numerators, which are the top numbers; and then the denominators which are the bottom numbers; like if you multiply 1×2 you get 2 and 7×3 is 21.

Answer:

1/16 meters

Step-by-step explanation:

perimeter of a square = 4 x length of each side,

so the length of each side is (1/4)/4 = 1/16 meters

Answer:

10

Step-by-step explanation:

just minus 8

orrr ig you could do:

x is the input

y is the output

y = 8 + x

18 = 8 + x

(minus 8 on both sides)

x = 10

Answer:10

Step-by-step explanation:

Your subtract 8 from 18 and get 10

Answer:

[tex]1.5x^2+6x+6[/tex]

Step-by-step explanation:

Collect 1.5 from everything, noticing that [tex]6= 1.5\times 4)[/tex]

[tex]1.5(x^2+4x + b^2)[/tex]

Now let's remember that the square of a binomial is [tex](x+b)^2 = x^2+2xb+b^2[/tex], confronting with what we have inside the bracket, [tex]2bx = 4x \implies b=2[/tex]

Our completed bynomial becomes [tex]1.5(x^2+4x+4) = 1.5x^2+6x+6[/tex]

Answer:

1.5x² + 6x + 6

Step-by-step explanation:

1.5x² + 6x + ? = a(x + b)²

a = 1.5

2ab = 6

ab = 3

b = 3/1.5

b = 2

So, inputting all the values :-

a(x + b)²

1.5(x + 2)²

1.5(x² + 4x + 4)

1.5x² + 6x + 6

Answer: 13.60 gallons divide 355 by 17 to get the base miles per gallon then use that and divide it 284 by 20.88

Step-by-step explanation:

Step-by-step explanation:

17g = 335miles

1g = 335÷17

= 19.70588235

284miles = (284÷19.70588235) × 1

284miles = 14.4119403

Answers:

284miles = 14.41gallons (2.dp)

OR

284miles = 15gallons (nearest whole number)

Answer:

not on screen

Step-by-step explanation:

rate of change of 0 is a horizontal line

is there a picture I can see

Answer:

A or 8

Step-by-step explanation:

Step-by-step explanation:

I've shown the process in the picture

hope it helps

Answer:

2.042 meters hope this helps

The height of the container in meters is 2.0066.

Unitary method is a mathematical way of first determining the value of a single unit then deriving the given unit from it.

According to the given question containers for international shipments measures 6 feet and 7 inches.

We know 1 feet is 12 inches.

∴ 6 feet is (12 × 6) = 72 inches.

So, 6 feet 7 inches is (72 + 7) inches which is 79 inches.

We know 1 inches is 0.0254 meter.

∴ 79 inches is ( 79 × 0.0254 ) meter which is

= 2.0066 meters.

learn more about unitary method here :

https://brainly.com/question/21648365

#SPJ2

Answer:

Step-by-step explanation:

The distance is:

Return trip will take:

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\cos A+\cos B=2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)\\\\\\\sin A-\sin B=2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-B}{2}\bigg)[/tex]

Use Even/Odd Identities:    cos (-A) = - cos A

                                             sin (-A) =   sin (A)

Use Quotient Identity:   [tex]\cot A=\dfrac{\cos A}{\sin A}[/tex]

Proof LHS →  RHS:

[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\cos x+\cos 7x}{\sin x - \sin 7x}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{2\cos \bigg(\dfrac{x+7x}{2}\bigg)\cdot \cos \bigg(\dfrac{x-7x}{2}\bigg)}{2\cos \bigg(\dfrac{x+7x}{2}\bigg)\cdot \sin \bigg(\dfrac{x-7x}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{2\cos \bigg(\dfrac{8x}{2}\bigg)\cdot \cos \bigg(\dfrac{-6x}{2}\bigg)}{2\cos \bigg(\dfrac{8x}{2}\bigg)\cdot \sin \bigg(\dfrac{-6x}{2}\bigg)}[/tex]

                          [tex]= \dfrac{ \cos (-3x)}{\sin(-3x)}[/tex]

[tex]\text{Even Odd:}\qquad \quad \dfrac{ -\cos (3x)}{\sin(3x)}[/tex]

[tex]\text{Quotient:}\qquad \quad -\cot(3x)[/tex]

LHS = RHS  [tex]\checkmark[/tex]

Answer:

C

Step-by-step explanation:

Literally just do the work yourself man...

Answer: B

Step-by-step explanation: It’s just about respect and good attention. Watching body language can help you know how they are feeling or if their verbal words match their feelings.

Answer:

660,000 gallons.

Step-by-step explanation:

Quarts refers to a unit of measurement of volume of a fluid such as water. Quart is typically a standard unit in the British Imperial (imperial quarts) and United States of America (U.S) Customary systems (liquid and dry quarts) of measurement as a unit of volume or capacity.

Generally, there are three (3) types of quarts still in use today; dry quarts, imperial quarts and the liquid quarts.

A quart has the symbol "qt" and it's typically calculated as a quarter (¼) of a gallon.

Mathematically, it is given by the expression;

[tex] 1 \; Quart = 0.25 \; Gallon[/tex]

Therefore, [tex] Gallon = Quart * 0.25[/tex]

Given that the volume or capacity of the swimming pool is 2,640,000 quarts.

[tex] Gallon = 2,640,000 * 0.25[/tex]

[tex] Gallon = 660,000 [/tex]  

Hence, the gallons of water of a swimming pool holding 2,640,000 quarts of water is 660,000 gallons.

Answer:

One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?

Step-by-step explanation:

Answer:

570,000,000 is the answer hope this helps ^^

Step-by-step explanation:

Answer:

6,207.3

Step-by-step explanation:

=> 5.7 x 1089

multiply 1089 by 5.{=[tex]6,207.3[/tex]

Answer: Please explain what you mean by "Which of the following is true?"

Overall, This is the step to solve the equation.

Step-by-step explanation:

16x4=64

64+25=89

Answer:

0.222

Step-by-step explanation:

the slope of a line is equal to (y2-y1)/(x2-x1)

y1= 8

y2= 6

x1=5

x2=-4

(6-8)/(-4-5)

=0.222

The number of cats that you have is; 27 cats

Let the number of cats alice has be x.

Since you have thrice the amount of cats that alice has, then you have 3x cats.

Bob has 7 less cats than you. Thus, bob has; 3x - 7

If they have a total of 56 cats, then;

x + 3x - 7 + 3x = 56

7x - 7 = 56

7x = 56 + 7

7x = 63

x = 63/7

x = 9

Thus, number of cats you have = 3x = 3 * 9 = 27 cats

Read more on algebra word problems at; https://brainly.com/question/13818690

Answer:

$1.68

Step-by-step explanation:

To find the answer we have to find the unit price of the coffee per one ounce.

$11.78 ÷ 7 = $1.68285714

Round your answer to the nearest cent.

$1.68

The cost per ounce is $1.68.

Answer:

27

Step-by-step explanation:

-3 - (-6) x 5

(-6) x 5 = -30

-3 - (-30)

two minuses makes a plus

-3 + 30

= 27

Answer:

27

Step-by-step explanation:

-3 - (-6) * 5

-3 + 6 * 5

-3 + 30

27

Hope this helps! Have a lovely day! :)

(btw this time i made sure to read the question properly lol)

Answer:

[tex]y=0.5x-3[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-4, -5) = (x, y)
[tex]m=\frac{1}{2} =0.5[/tex]

To find the slope intercept form of the given information we will have to use the formula y = mx + b where m equals the slope.

[tex]y=mx+b[/tex]
[tex]-5=0.5(-4)+b[/tex]
[tex]0.5\times-4=-2[/tex]
[tex]-5=-2+b[/tex]
[tex]-2+2=0[/tex]
[tex]-5+2=-3[/tex]
[tex]b=-3[/tex]
[tex]y=0.5x-3[/tex]

Which means your answer is "y = 0.5x - 3."

Hope this helps.