Please and thank you

Answer:

AH = 4 units

Area of ΔABC = 16 square units

Step-by-step explanation:

Since ΔABC is an isosceles triangle,

AC = BC

∠CAB ≅ ∠ABC  [Opposite angles of the equal sides in a triangle are equal]

In ΔABC,

m∠CAB + m∠ABC + m∠ACB = 180°

m∠ABC + m∠ABC + 150° = 180°

2m∠ABC = 30°

m∠ABC = 15°

Now we apply cosine rule in ΔABC,

AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)

AB² = 8² + 8² - 2(8)(8)cos(150°)

AB² = 128 + 110.85

AB = [tex]\sqrt{238.85}[/tex]

AB = 15.45

In ΔABH,

sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]

sin(15°) = [tex]\frac{AH}{15.45}[/tex]

AH = 15.45sin(15°)

AH = 3.998

AH ≈ 4.0 units

HC = [tex]\sqrt{8^{2}-4^2}[/tex]

     = [tex]\sqrt{48}[/tex]

     = 6.93

Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]

                                          = [tex]\frac{1}{2}(8)(4)[/tex]

                                          = 16 square units

Answer:  It is irrational.

Step-by-step explanation:

√18 is an irational number. Multiplying most rational numbers by an irrational number results in an irrational number.

Answer:

pumpkin: 5

witch: 10

leaf: 50

bat: 20

ghost: 60

Answer:

Bat: 20

Pumpkin: 5

Ghost: 60

Leaf: 50

Witch: 10

Answer:

4/16

Step-by-step explanation:

Answer:

1. 4,000

2. 9,000

3. 50,000

4. 59,000

5. 100,000

Answer:

C. x=7 and the expression is (5+x)9=x*(15 3/7)

Step-by-step explanation:

The width of the first shape is 5+x and the length is 9

The width of the second shape is x and the length is 15 3/7

You want the same area of the figures, so they are equal. And the formula for the area of a rectangle is l*w. So...

(5+x)9=x*(15 3/7)

45+9x=(108/7)x

315+63x=108x

63x-108x=-315

-45x=-315

x=7

So, your answer is C.

Answer:

75 (5r + 3d + 4f)

Step-by-step explanation:

I hope this helps!

Answer:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

have a great day :)

Because multiplication is the converse of division,

x/y=z

x=yz

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

Just like addition is the converse of subtraction.

If x/y=z,

then x=yz.

If x divided by y is equal to z, then x equals y times z. These are the rules of arithmetic. If they weren't true the universe would fall apart! The rule can be used as a check that you have the right answer.

Therefore converse of division is the answer.

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Answer:

a) Cuántas horas tarda en acumularse 1

centímetro de nieve en el jardín de Harper?

0.508 horas o 30.48 minutos

b) Cuántos centímetros de nieve se acumulan por hora?

5 cm

Step-by-step explanation:

a) ¿Cuántas horas se necesitan para acumular 1 pulgada de nieve en el jardín de Harper?

1 pulgada de nieve = 2.54 cm de nieve

d = 5 × h

2.54 = 5 h

h = 2.54 / 5

h = 0.508 hora

Convertir a minutos = 0.508 horas × 60 minutos

= 30.48 minutos.

Por lo tanto, se necesitarían 0.508 horas o 30.48 minutos para acumular 1 pulgada de nieve en el jardín de Harper.

b) ¿Cuántos centímetros de nieve se acumulan por hora?

d = 5 h

Por hora = 1 hora

d = 5 × 1

d = 5 cm

Por tanto, se acumulan 5 cm de nieve por hora.

Answer: The x intercept is 10   or (10,0)

Step-by-step explanation:

4x - 5y = 40   The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.

4x-5(0) = 40

4x + 0  = 40

  4x = 40    

 x=  10

The x intercept is 10   or (10,0)

140

Step-by-step explanation:

56:40*100 =

(56*100):40 =

5600:40 = 140

Answer:

b=−1

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

 2/0.25 = 8

2 x 8 = 16

Answer:

B

Step-by-step explanation:

Isoceles triangle

Answer:

B. 65 degrees

Answer:

28

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

B & D

Step-by-step explanation:

Options B and D have a solution from the given set of equations.

We need to find from the given which equation does not have solutions.

Solve the given equation for x. If you get any value then the equation has a solution.

From option (A):

-60x+32=-60x+60

⇒-60x+60x=60-32

By simplifying the above equation we get no x value. So, there are no solutions.

From option (B):

-60x+32=32x-60

⇒-60x-32x=-60-32

⇒-92x=-92

⇒x=1

From option (C):

-60x+32=-60x-32

By simplifying the above equation we get no x value. So, there are no solutions.

From option (D):

-60x+32=32x+60

⇒-92x=28

⇒x=0.304

Therefore, options B and D have a solution.

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Answer:

To multiply mixed numbers:

Step-by-step explanation:

1. convert to improper fractions

2. top * top

3. bottom * bottom

4. convert back into a mixed number

Answer:

Hi!

In these questions you're being asked to multiply mixed numbers. The easiest way to do this is to convert the mixed numbers to improper fractions, and then multiply them in that form.

For the first question:

[tex]1\frac{3}{5} = \frac{8}{5} ; 1\frac{2}{5} =\frac{7}{5} \\[/tex]  To convert the mixed numbers to improper fractions, you just     multiply the denominator by the whole number, and then add it to the current  numerator, forming the new numerator. The denominator stays the same.

[tex]\frac{8}{5} *\frac{7}{5} = \frac{56}{25}[/tex]       Next, multiply together the numerators, and then multiply together the denominators.

[tex]\frac{56}{25} = 2\frac{6}{25}[/tex]

19−1=−12+34

19x-1=-12x+34

19x−1=−12x+34

19−1+1=−12+34+1

Answer:

15 days

Step-by-step explanation:

We know that John has $100 in his bank account and he is spending $3 a day.

We want to find how many days until he has $55 left.

d=days

55=100-3d

55+3d=100

100-55=3d

3d=45

Solving for d, we divide by 3.

Your answer is 15.

Answer: y=6n

Step-by-step explanation:

Answer:

7:3

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two  is,

Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1

The equation of the line can be written as,

y = -1x + C

substitute any one of the point in the equation,

0 = -1(5) + C

0 = -5 + C

C = 5

Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.

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Answer:

I have 5/6 of a candy bad and I want to give each of my 3 friends some. How much would each friend get?

Step-by-step explanation:

The word problem that can be represented by the expression 5/6 divided by 1/3 is "There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that".

Given :

The expression 5/6 is divided by 1/3.

The following steps can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3:

Step 1 - The knowledge of arithmetic operations can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3.

Step 2 - There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that.

Step 3 - Solve the above problem by dividing 5/6 by 1/3.

[tex]= \dfrac{5\times 3}{6\times 1}[/tex]

= 2.5

For more information, refer to the link given below:

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Answer:

y = 2x-3.

Step-by-step explanation:

Slope is y =mx+b. If we look at the graph, the line passes by (0,-3) and (1,-1). Taking rise over run, (y/x), we can find out that y goes up 2 and x goes right 1. This means that it is a positive slope and that slope would be 2/1, simplified to just 2.

Answer:

16 < 30

Step-by-step explanation:

Substitute 22 for b, add 22 to 8 (30)

The inequality is correct, 30 is greater than 16

Answer:

x=1/3y - 2

Step-by-step explanation: