I have to find out what m

Answer:

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Step-by-step explanation:

Step(i):-

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]

 z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

Step(ii):-

[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]

⇒    [tex]d = sin^{-1} (\frac{4}{5} )[/tex]

⇒   d = 53.13°

Final answer:-

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Answer:

It's multiplying by 16 every time... so the next answer is 5242880

Step-by-step explanation:

327680 x 16 = 5242880

Answer is 11.9ft.

Law of cosines:

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

[tex]c^{2} = a^{2} + b^{2} - 2ab cos(C)[/tex]

Since we have two side lengths and an angle, we can use the Law of Cosines to find the length of the final side.

In this case we can write the law of cosines as,

[tex]f^{2} = d^{2} + e^{2} - 2(de)cos(F)[/tex]

f2 = 5.22 + 6.82 - 2(5.2)(6.8)cos(166)

f2 = 27.04 + 46.24 - 66.56 cos (166)

f2 = 73.28 - 66.56 cos 166

f = √(73.28 - 66.56 cos 166) ≈ 11.9 ft.

f ≈ 11.9 ft.

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Answer:

132

Step-by-step explanation:

S.A.S.→Law of Cosines

From reference sheet

[tex]a^2=b^2+c^2-2bc[/tex] cos A

plug in values

[tex]f^2=36^2+97^2-2(36)(97)cos 166[/tex]

square and find cosine

[tex]f^2=1296+9409-2(36)(97)(-09.70296)[/tex]

Multiply

[tex]f^2=1296+9409+6776.54535[/tex]

Add

[tex]f^2=17481.54535[/tex]

Square root and round

[tex]f=\sqrt{17481.54535}[/tex]≈132.218≈132

Answer:

m=slope = 5

b=y intercept=-4

Step-by-step explanation:

Answer:

Slope=3/4, y-intercept=3.5, equation=y=3/4x+3.5

Step-by-step explanation:

Answer:

11 + 3

Step-by-step explanation:

Paula = 11-3

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

Answer:

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]

using Heron theorem, we have:

[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]

with S is the area of the triangle

       [tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]

Step-by-step explanation:

Area of the triangle with given vertices is equals to 24 square units.

"Area is the surface which represents the total space occupied by any two dimensional object."

"Triangle is a  polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."

Formula used

In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)

Area of a triangle =  [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]

According to the question,

Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)

Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]

                                 = [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]

                                 = 24 square units

Hence Area of the triangle with given vertices is equals to 24 square units.

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Answer:

v=6

Step-by-step explanation:

Just plug in the numbers u already know.

v²=8²+2*(-7)*2

V²=64-28

v²=36

v=√36

v=6

Subtract the width from the length.

8.5 - 5.95 = 2.55 yards

Answer:

See solutions below

Step-by-step explanation:

The product of 46 and 23 2/3 is expressed as;

= 46×23 2/3

= 46 × 71/3

= (46×71)/3

= 3266/3

= 1088.67

Given a•b

If a = 5

b = 8

a•b =5•8

a•b = 40

Answer:

amount of water required = 45 g

Step-by-step explanation:

Answer:

45g

Step-by-step explanation:

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.

9514 1404 393

Answer:

  -12

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is defined as ...

  average rate of change = ((f(b) -f(a))/(b -a)

For the given function and interval, this is ...

  average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)

  = (4 -10)/(0.5) = -12

The average rate of change is -12 on the interval.

__

The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.

Incomplete question. However, I assumed you are referring to the information found in the 2016 World Population Data Sheet.

Explanation:

Proportions of the world's people who live in:

Since the report stated that as of 2016 the world's population stood at 7,418,000,000 (Seven billion, Four hundred and Eighteen Million), we simply find the ratio of each continent to the population. For example, Asia is said to be 4,437,000,000 (Four billion, Four hundred and thirty-seven million) , the ratio will be [tex]\frac{4,437,000,000 }{7,418,000,000 } *100=[/tex] 59.8% approximately.

9514 1404 393

Answer:

  1/9^5

Step-by-step explanation:

  [tex]\dfrac{9^2}{9^7}=\dfrac{9\cdot 9}{9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9}=\dfrac{1}{9\cdot 9\cdot 9\cdot 9\cdot 9}=\boxed{\dfrac{1}{9^5}}[/tex]

_____

An exponent is an indicator of repeated multiplication. As you can see, factors in the numerator cancel those in the denominator, so the result is the difference of the exponents.

Answer:  D. 7

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

20% = 0.2

80 x 0.2 = 16

Please mark me Brainliest :)

Answer:

16 is 20 percent out of 80

Step-by-step explanation:

Answer: watter bottle : $1.61

Flashlight : $3.20

Step-by-step explanation:

Answer:

Multiply input by 2

Step-by-step explanation:

The pattern is the input multiplied by 2. Just multiply the input value by 2 and you get the output value.

Answer:

13.433333333

Step-by-step explanation:

Answer:

x=50

hope it helps........

Answer:

50°

Step-by-step explanation:

Thousands of years ago, a group of people called the Sumerians decided that, since a year is roughly 360 days, 360 was a nice number of parts to split a circle into (that, and it's a very easy number to divide up into smaller parts without dealing with

Answer:

The 10% condition would not apply here

Explanation:

The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.

Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.

Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.

Answer:

.375

Step-by-step explanation:

To find the batting average, do 15/40. And 15/40=.375

so wt's the question of this pic?

Answer:

216

Step-by-step explanation:

LCD = 30

200(3/30) = 600/30

^ do this process for each number

Answer: 216

Step-by-step explanation:

Answer:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.

Step-by-step explanation:

Answer:

The first book was published in 1816.

Step-by-step explanation:

A series of books is published at 4-year intervals.

This means that:

The first book is published at year x.

The second book is published at year x + 4.

The third book is published at year x + 4 + 4 = x + 8

The fourth book is published at year x + 8 + 4 = x + 12

The fifth book is published at year x + 12 + 4 = x + 16

When the fifth book is issued, the sum of the publication’s years will be 10,020.

This means that:

[tex]x + x + 4 + x + 8 + x + 12 + x + 16 = 10020[/tex]

[tex]5x + 40 = 10020[/tex]

When was the first books published?

This is x. So

[tex]5x + 40 = 10020[/tex]

[tex]5x = 9080[/tex]

[tex]x = \frac{9080}{5}[/tex]

[tex]x = 1816[/tex]

The first book was published in 1816.

Answer:

30

Step-by-step explanation:

It is easier if you do 5 six times for example

5, 10, 15, 20, 25, 30

Hope this helps ;)