Solve the following question

Answer:

Step-by-step explanation:

take angle B as reference angle

using cot rule

cot B=adjacent/opposite

cot B=5/12

cot B=0.41

B=cot 67.5

B=67.5 degree

for ratio,

cot B=5/12

Answer:

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Step-by-step explanation:

Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.

To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Solution -

By the given information, the figure becomes -

From the Graph, we can see that,

The side MP = 2.1

The side MG = 9.6

And By using Pythagoreas Theorem, we get

(PG)² = (MG)² + (MP)²

⇒(PG)² = (9.6)² + (2.1)²

⇒(PG)² = 92.16 + 4.41

⇒(PG)² = 96.57

⇒PG = √96.57

⇒PG = 9.827

∴ we get

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.  

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.  

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's.  Use that for the base.  The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

Answer:

50

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

Answer:

18 ft^2

Step-by-step explanation:

4 x 4 = 16

4 x 1 = 4

4 / 2 = 2

16 + 2 = 18 ft.^2

Answer:

18 ft²

Step-by-step explanation:

Area of the triangle: [tex]\frac{1}{2}[/tex] (1 × 4) = 2 ft

Area of the square: 4 × 4 = 16 ft

Add up the areas

You get 18 ft²

Answer:

Step-by-step explanation:

equation of a line

y=mx+b

y=0*x+b

y=0+b

y-0=b

since the line passes through the point (-7,4) it satisfies the equation

4-0=b

4=b

substituting the value of b in

y-0=b

y-0=4 is the required equation.

Answer:

0.2x+3

Step-by-step explanation:

Answer:

conjunction

Step-by-step explanation:

Answer:

Conjunction is correct answer. (I think)

Answer:

2nd option

Step-by-step explanation:

Using

sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )

sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]

Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then

sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]

Answer:

what are the hypotheses?

Step-by-step explanation:

you said the hypotheses are as folows its not there

Answer: 9/4 or 2.25

Step-by-step explanation:?????

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

Answer:

C  y/9 = 3

Step-by-step explanation:

An equation needs an equals sign

Answer: n × n× 6

length time width both = n and hight is 6 so n × n × 6

Step-by-step explanation:

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.

Answer:

The total compound interest is $502.74 i think

Step-by-step explanation:

24/5

[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]

Hope this helps. please mark me brainliest if it did

Answer:B $225

Step-by-step explanation:

$2,700.00 divided by 12 = $225

12 = 1 year

The answer to your question is 38.6

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

Answer:

[tex](x - 1)(x + 1)(x - 2)[/tex]

Step-by-step explanation:

[tex]x^3 - 2x^2 - x + 2[/tex]

[tex]=> x^2(x - 2) -1(x - 2)[/tex]

[tex]=> (x - 2)(x^2 - 1)[/tex]

[tex]=> (x - 2)(x + 1)(x - 1)[/tex]

Answer:

Step-by-step explanation

You would take 15 ft and divide it by how many feet are in a yard which is 3.

Answer - Jill has 5 yards of ribbon

Answer:

5 yards

Step-by-step explanation:

every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards

Answer:

v = 16, u = 15

Step-by-step explanation:

(a)

Substitute the given values into the formula

v = 10 + 2(3) = 10 + 6 = 16

(b)

Substitute the given values into the formula

50 = u + 5(7)

50 = u + 35 ( subtract 35 from both sides )

15 = u

Answer:

25

Step-by-step explanation:

Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;

<1 + <2= 180

123+2x+7 = 180

130+2x = 180

2x = 180 - 130

2x = 50

x = 50/2

x = 25

Hence the value of x is 25

Answer:

A≈249.02cm

Step-by-step explanation:

Answer:

60 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scientific notation allows us to write large numbers in smaller quantity by reducing the number to a figure less than 10 but more than one and then multiplying it by a power of 10 to show its actual size. For instance, 65,000,000 will be written as 6.5 * 10⁷ to represent the total number of digits that it has after the decimal.

$247,000,000:

This would be 2.47 * 10⁸

$5,200,000:

This is 5.2 * 10⁶.