What is the area of this isoceles trapezoid?

Answer:

1) x =4/3 = 1  1/3

2) y = 10/3 = 3  1/3

3) y = 8

Step-by-step explanation:

y = x + 2/3

1) 2 = x+ 2/3

x = 2 - 2/3 =-6/3 -2/3

x = 4/3 = 1 1/3

2) 8/3 + 2/3 = y

y = 10/3 = 3 1/3

3) 22/3 +2/3 =y

y = 24/3 = 8

Answer:

y=z+2/3

y=2 => z=2-2/3= 4/3

z=8/3 => y= 8/3+2/3= 10/3

z=22/3 => y=22/3+2/3= 24/3= 8

Answer:

$2916.00

Step-by-step explanation:

Answer:

child: 14

Adult : 2

Step-by-step explanation:

2A + 3C = 46------------eqn 1

3A + 5C = 76------------eqn 2

eqn 1 x 3 : 6A + 9C = 138----------- eqn 3

eqn 2 x 2: 6A + 10C = 152-----------eqn 4

eqn 4 - eqn 3: 1OC - 9C = 152 - 138

1C = 14

subst 1C = 14 into eqn 1

2A + 3(14) = 46

2A = 46 - 42

2A = 4

1A = 2

Answer:

y = 4x +17

Step-by-step explanation:

we can find the equation of line when given two points or a point and the gradient/slope.

In the above line we have two points (0,10) and (10,50),

The slope of the line is therefore 4

 Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence

Equation will be, (y-25)/(x-2) = 4

                          = y-25 = 4x-8

                          = y =4x +17

Thus the appropriate equation is y = 4x +17

Answer:

Y = 4 x + 17

Step-by-step explanation:

Confirmed. Just took it

Answer:

8 glasses

Step-by-step explanation:

Total volume : 1500 ml

Glasses capacity : 180 ml

Glasses can be filled : 1500 / 180 = 8.33

Notice it says completely fill thus it is 8 glasses

Answer: first one

Step-by-step explanation:

Answer:

Given

Step-by-step explanation:

(-4/15)-(9/10)

LCM = 150

(-4/15)= (-40/150)

(9/10)= (135/150)

So the equation becomes

= (-40/150)-(135/150)

= (-40-135)/150

= (-40+-135)/150

= -175/150

= -7/6 ( divide both by 25 to simplify)

The simplified value of  (-4/15) - (9/10)  is -7/6

The given question is (-4/15) - (9/10)

⇒first take L.C.M 15 and 10 which is 30.

⇒divide 30 by both the denominator  10 and 15 which is 3 and 2 respectively.

⇒multiply 3*-9 and 2*-4

⇒now solve using sign.

(-4/15) - (9/10)

⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]

   ⇒[tex]\frac{-35}{30}[/tex]

  ⇒ [tex]\frac{-7}{6}[/tex]

Learn more about Simplification here: https://brainly.com/question/723406

#SPJ2

Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]

Step-by-step explanation:

my answer was wrong and cannot be deleted :)

Answer:

A. A bar magnet’s magnetic field is larger than Earth’s.

Step-by-step explanation:

The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.

Answer:

x=-12        x =2

Step-by-step explanation:

-x^2-10x+24=0

Divide by -1

x^2 +10x -24 = 0

Factor

What 2 terms multiply to -24 and add to 10

12 * -2 = -24

12 -2 = 10

(x+12) ( x-2) = 0

Using the zero product property

x+12 =0    x-2 =0

x=-12        x =2

Answer:

1.2 x 10^-1 or 12x10^-2

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x)  = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

Answer: B. The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

14 * 5 = 70

10 * 3 = 30

70 + 30 = 100

14 + 10 = 24

Answer:

y=14

x=10

Step-by-step explanation:

x+y=24

3x+5y = 100

multiply the first equation by 3 and subtract from second one :

3x+3y=72

-

3x+5y=100

equal : -2y=-28

y=14

x=10

Answer:

Carys earns $10 per hour and  earn $1 in [tex]\frac{1}{10}[/tex] hour .

Step-by-step explanation:

Given that :

Carys calculates the total amount E, in dollars, that she earns for working h hours.

She use the equation to calculate the total amount

[tex]E=10h.For h=1, E=10(1)[/tex]

[tex]\Rightarrow\ E=\$10[/tex]

hence, Carys earns $10 in one hour.

Therefore, Carys earns $10 per hour.

Let she earn $1 then put E=1 in the equation, we get

[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]

Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]

Answer:

miles hybrid car went = 9.80 gal × 54.1 miles/gal

= 530.18 miles

132km × 0.621 = 81.972 miles

530.18 miles = 9.80 gal

1 mile = 9.80/530.18

= 0.018 gal

81.972 miles = 0.018 × 81.972

= 1.515 gal

1.515 gal × 3.785 = 5.734 litres

Answer:

105°

Solution,

[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]

[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]

[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]

Therefore the mass of the element is given by:

[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]

If the initial mass is 760 g and the final mass is 15 g, we have:

[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]

The time it'd take for the element to have 15 g of mass is approximately 68 min.

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative

Answer:

1342 feet

Step-by-step explanation:

Kimmy's house is located at (8, 4)

The school entrance is located at (-4, -2).

To find the distance Kimmy walks to school every day, we use the Distance formula:

[tex]\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]

[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]

Answer:

The answer is (3, 18)

Step-by-step explanation:

This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.

Answer:

C. x < 10

Step-by-step explanation:

2x - 8 < 12

Add 8 to both sides

2x < 20

Divide both sides by 2

x < 10

Answer:

Option C

Step-by-step explanation:

We are given the inequality 2x - 8 < 12,

[tex]2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C[/tex]

As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).

Solution ⇒ Option C

Answer: the eight term is 8/243

Step-by-step explanation:

Each term in this geometric sequence is equal to the previous term, divided by 3.

72,24, 8

a = 72, r = 1/3

a = first term, r is common ratio

tn = ar^n-1

t8 = 72÷ 3^8–1

t8 = 72÷ 3^7

= 72/ 3^7

= 8/243

Answer:

$4,200

Step-by-step explanation:

700 x 6 = 4,200

Answer:

D.

Step-by-step explanation:

CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.

Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.

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:

the temperature of f degrees Fahrenheit converted to degrees Celsius.

Step-by-step explanation:

Answer & Step-by-step explanation:

In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.

We are asked to find the quotient of 9⁵ ÷ 9⁵.

When a number is divided by itself, then the answer is always going to be 1.

So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.