Don’t understand this question

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:

b=−1

Step-by-step explanation:

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:

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:

1. 4,000

2. 9,000

3. 50,000

4. 59,000

5. 100,000

19−1=−12+34

19x-1=-12x+34

19x−1=−12x+34

19−1+1=−12+34+1

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: 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)

Answer:

∫ cosec²(7-5x) dx =[-cot(7-5x)]/-5 +c

=(1/5)cot(7-5x)+c

note: d/dx(cotx)=- cosecx

Answer:

80

Step-by-step explanation:

100°+?=180

?=180-100=80

Answer:

pumpkin: 5

witch: 10

leaf: 50

bat: 20

ghost: 60

Answer:

Bat: 20

Pumpkin: 5

Ghost: 60

Leaf: 50

Witch: 10

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

6. 40+5c

7. 20+22r+26s

It will be nice if you give me brainliest

Good luck!

Answer:

The first step would be to distribute the 2 outside of the parenthesis

Then the left side of the equation would look like: 2x-4

Step-by-step explanation:

9514 1404 393

Answer:

  add 1+2

Step-by-step explanation:

According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...

  (1 +2) = 3

Then the inequality becomes ...

  2(x -2) < 3 +5

Answer:

4/16

Step-by-step explanation:

Answer:

x=1/3y - 2

Step-by-step explanation:

140

Step-by-step explanation:

56:40*100 =

(56*100):40 =

5600:40 = 140

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: y=6n

Step-by-step explanation:

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:

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:

7:3

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.

To learn more about the system of equations visit:

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Answer:

(A) Independent

(B) Independent

(C) Independent

Step-by-step explanation:

Independent samples are those samples are drawn from two different population.

Dependent samples are sample collected from the same population but at different times. They are also known as matched pair samples.

(A)

The data collected is for the pair of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories.

That is the data is in the form (x, y). Here x represents the age of actresses and y represents the age of actors.

Since the data is collected from two different population of male and female, the sample are independent.

(B)

The data collected is for the heights of elected presidents along with the heights of their main opponents.

Again the data is in the form (x, y). Here x represents the heights of elected presidents and y represents the heights of the main opponents.

The samples collected is independent.

(C)

The data collected is for the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.

Again the data is in the form (x, y). Here x represents the volumes in the regular Coke cans and y represents the volumes in the regular Pepsi cans.

The samples collected is independent.

Answer:

28

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

75 (5r + 3d + 4f)

Step-by-step explanation:

I hope this helps!

Answer:

1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8  

Sorry I can do more if needed

Step-by-step explanation:

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]