Consider a triangle...

Consider A Triangle...
Consider A Triangle...

Answers

Answer 1

Answer:

1. Triangle: B = 47.0° , C = 103.05° , c = 2.53 cm

2. Lake: c = 1105.31 ft

Step-by-step explanation:

Law of Sine Formula:[tex]\frac{sin(A)}{A} = \frac{sin(B)}{B} = \frac{sin(C)}{C}[/tex]

Given: A = 30° , a = 1.3 cm , b = 1.9 cm

[tex]\frac{sin(30)}{1.3} = \frac{sin(B)}{1.9} = \frac{sin(C)}{C}[/tex]

Solving for sin(B). Cross Multiply.

[tex]\frac{sin(30)}{1.3} = \frac{sin(B)}{1.9}\\1.3*sin(B)=1.9*sin(30)\\sin(B)=\frac{1.9*sin(30)}{1.3} \\[/tex]

B = sin^-1( [tex]\frac{1.9*sin(30)}{1.3}[/tex] )

B ≈ 46.9509202

B = 47.0°

Solve for C°

A° + B° + C° = 180°

30° + 46.95° + C° = 180°

C° = 180° - 30° - 46.95°

C° = 103.05°

Solve for sin(C)

[tex]\frac{sin(30)}{1.3} = \frac{sin(103.05)}{C}\\[/tex]

Cross Multiply

[tex]C*sin(30)=1.3*sin(103.05)\\C=\frac{1.3*sin(103.05)}{sin(30)}[/tex]

C ≈ 2.532850806

C = 2.53 cm

Law of Cosine Formula: [tex]c^2=a^2+b^2-2*a*b*cos(C)[/tex]

Given: a = 850 ft , b = 960 ft ,  C=75°

Solve for c.

[tex]c^2=a^2+b^2-2*a*b*cos(C)\\c^2=(850ft)^2+(960ft)^2-2*(850ft)*(960ft)*cos(75)\\\\c=\sqrt{(850ft)^2+(960ft)^2-2*(850ft)*(960ft)*cos(75)\\} \\[/tex]

c ≈ 1105.308698

c = 1105.31 ft


Related Questions

Which choice is equivalent to the expression below?
7x2 - 42 + x2
O A. 3x12
O5x22
O C. 8x^2 - 4-15
O D. 6x1/2 -3-2

Answers

Answer:

the answer to your problem is c

Answer:

Did you copy C correctly?  

If not, then C should equal 8x^2 - 16

Step-by-step explanation:

Simplify  7x^2 - 4^2 + x^2

I hope this helps!

Solve the equation 9(k-2)=- 6. ( slove for k​

Answers

Answer:

k=4/3

Step-by-step explanation:

9(k-2)=-6

-expand the bracket

9k-18=-6

-keep "k" on one side

9k=12

-divide both sides by 9 to get k

k=4/3

Juana and Andy completed 10 math problems total. Juana completed 6 of the problems. Write an equation to determine the number of math problems that Andy completed, then solve the equation. How many of the math problems did Andy complete?​

Answers

Step-by-step explanation:

let the number of questions solved by Andy=x

this implies that 6+x=10

making x the subject of the equation

x=10-6

x=4

therefore Andy solved 4 questions

Write the equation in slope-intercept form, and detemine the slope and y-intercept. Write the y- intercept as an ordered pair.
−x + 5y = −5
The slope is .
The y-intercept is .
The equation written in slope-intercept form is ____________ .

Answers

Answer:

slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.

Step-by-step explanation:

1) if to re-write the given equation, then

[tex]y=\frac{1}{5}x-1;[/tex]

or y=0.2x-1;

this equation is slope-interception form;

2) according to the new view of the equation,

the required slope is 1/5;

the required y-intercept is -1.

solve this sum plsss​

Answers

Step-by-step explanation:

the answer is in the attachment.

hope this helps you.

chase deposits $7440.93 into a savings account that pays a simple annual interest rate of 1.23%

Answers

Answer:
To find how much money Chase will get in a certain amount of years, set up the following equation:

(7440.93*0.0123)*x = y

Plug in x. "x" stands for how many years Chase keeps the money in his account while earning interest.

Keep "y" unknown, as that stands for what you are trying to solve for, which is how much interest money Chase will make.

Please help me I need help asap

Answers

Answer:

AB = 23 , BC = 13

Step-by-step explanation:

Isosceles mean two side angle is equal to each other.

AB and AC are the same. So we can solve for x.

[tex]AB=AC\\5x-7=23\\5x=30\\x=6\\\\AB = 5x-7\\AB = 5*6-7\\AB=30-7\\AB = 23\\\\BC = 3x-5\\BC = 3*6-5 = 18 - 5 = 13\\BC = 13[/tex]

Answer:

Step-by-step explanation:

Because they tell us it's an isosceles triangle we know two sides are the same length.  since AB and AC look like they are similar we can assume that those sides are the exact same length.    Since we know , now, that AB and AC are equal in length,  set them equal

AB = AC

now plug in given info

5x-7 = 23

nice,  now use your super hero algebra skillz to solve for X.  My calculus prof.  always says that students are bad at algebra, i'll help you do the algebra.

5x-7=23  ( add 7 to both sides)

5x=23+7  (add 7 to 23 )

5x=30      (divide both sides by 5 )

x=6

yay,  we have X now.

we know AB =23 , because of the isosceles triangle thing.

BC = 3x-5

plug in for X :)

3*6-5=BC

18-5=BC

13=BC

Yay,  all the answers, and way to get the answers are above :P

Explanation and answer please

Answers

Answer:

$41.96

Step-by-step explanation:

30% of 59.95 is 17.99 (rounding to the nearest hundredth place since it was 17.985)

subtract 17.99 since it is the sale (30%)

59.95 - 17.99 = 41.96

the cd is worth $41.96 on sale for 30% off.

what is 3/8 - 1/4 = in simplest form

Answers

Answer:

1/8

Step-by-step explanation:

The lowest common multiple of 4 and 8 is 8.

1/4 = 2/8

3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8

1/8 cannot be simplified further.

A ball has a mass of 3g and a volume of 6 cm3. It's density is what
and will it float or sink
in water.

Answers

Answer:

float

Step-by-step explanation:

density = mass/voume

3g/6c.m. ^3

0.5g/c.m.^3 = 0.5g/mL^3

Since the density of water is about 1g/mL^3 and 0.5g/mL^3 is less than that, it will float

Answer ↓

pls view the calculations section of this ans for more details.

Calculations ↓

[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{density}\\$\displaystyle\frac{mass}{volume} \\ \end{minipage}}[/tex]

Mass  = 3g

Volume = 6

3/6

1/2 <----- density

So the density is 1/2 mL³

It will float because it's density is less than the density of water

hope helpful ~

could someone help me super super quick?

Answers

Answer:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola

The vertex of a parabola is the point at the top or bottom of the parabola

Step-by-step explanation:

Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

#1

y=a(x-h)²+ky=a(x²)+3

Put (2,-5)

-5=2²a+3-5=4a+34a=-8a=-2

Equation

y=-2(x-0)²+3

#2

y=a(x-2)²

Put (5,9)

9=a(5-2)²3²a=99=9a=1

Equation

y=(x-2)²+0

#3

y=a(x+3)²+2

put (-1,14)

14=a(2)²+214=4a+24a=12a=3

Equation

y=3(x+3)²+2

#4

y=a(x-5)²-3

Put (1,-8)

-8=a(-4)²-3-8=16a-316a=-5a=-5/16

Equation

y=-5/16(x-5)²-3

A circle has a radius of 11.4 cm
What is the exact length of an arc formed by a central angle measuring 120°?

Enter your answer in the box. Express your answer using .

NEED HELP QUICK!!!

Answers

Answer:

7.6pie

Step-by-step explanation:

120°/360°=X/11.4×2 pie

1/3×22.8 pie =X

X= 7.6 pie

Solve by factoring:
a² = 25

Answers

a=+ or - 5 bc -5x-5 or 5x5 equals to 25

Answer:

[tex]a=[/tex] ±[tex]5[/tex]

Step-by-step explanation:

[tex]a^{2} =25[/tex]

equal to zero

[tex]a^{2} -25=0[/tex]

factor: difference of squares

[tex](a+5)(a-5)=0[/tex]

first factor:

[tex]a+5=0\\a_{1} =-5[/tex]

second factor:

[tex]a-5=0\\a_{2} =5[/tex]

Hope this helps

Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate 7.
12.2 ft.
10 ft.
6 ft.
14 ft.
A = [?] ft.2
Notice that only half of the circle is included in the figure!
Enter

Answers

Answer:

  209.25 ft²

Step-by-step explanation:

The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.

__

triangle

The area formula is ...

  A = 1/2bh

  A = 1/2(6 ft)(10 ft) = 30 ft²

rectangle

The area formula is ...

  A = bh

  A = (14 ft)(10 ft) = 140 ft²

semicircle

The area formula is ...

  A = 1/2πr² . . . . where radius r is half the diameter

  A = 1/2(3.14)(5 ft)² = 39.25 ft²

total area

The sum of the areas of the parts is ...

  total area = (30 +140 +39.25) ft² = 209.25 ft²

what is the quotient of 4 ÷ 1/4?

Answers

Answer:

16

Step-by-step explanation:

4 divided by 1/4 =

4/.25

16

161 is the answer … i think

x/9 times 15-47=28
help pls

Answers

Answer:

x=45

Step-by-step explanation:

Then,

x/5(15)-47=28

Step 1: Simplify the equation on both sides

x/9(15)-47=28

5/3x-47=28

Step 2: Add 47 to both sides

5/3x-47+47=28+47

5/3x=75

Step 3: Multiply both sides by 3/5

(3/5)*(5/3x)=(3/5)*(75)

x=45

For each value of w, determine whether it is a solution to -8+5w >32.

Answers

Answer:

• no

• no

• no

• yes

Step-by-step explanation:

Let's start by solving the inequality.

-8 +5w >32

5w> 32 +8

5w> 40

Divide both sides by 5:

w> 8

This means that the value of w should be greater than 8.

Since w is not ≥8, the value of w does not include 8. -6 and -5 are smaller than 8 and are thus not the value of w either.

9, being greater than 8, is a solution to the inequality.

Angelica says the tangent is the ratio of the length of the leg opposite angle A ∠ A over the length of the leg adjacent to angle A This means B C must have a length of 3 3 units A C must have a length of: 4 4 units. They can find the length of Latex A B using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine. Both students have errors in their reasoning. Identify the mistake Angelica made in her reasoning. Provide an example that shows why she is incorrect. Identify the mistake that Graciella made in her reasoning. Explain why she is incorrect. Find the ratios for the sine and cosine of angle A Explain your process.

Answers

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

What is the Trigonometry Ratios?

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

Sine ratio, sin ∅ = opp/hypCosine ratio, cos ∅ = adj/hypTangent ratio, tan ∅ = opp/adj.

What is the Pythagroean Theorem?

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

https://brainly.com/question/10417664

50 POINTSSS AND WILL GIVE BRAIN

Look at the graph attached

What is the domain?

–6 ≤ x ≤ 4
–6 ≤ x ≤ 4, x ≠ –6, 2
–12 ≤ x ≤ 10
–12 ≤ x ≤ 10, x ≠ –6, 6

Answers

Domain: All possible x-values

Starting at the left side, the smallest value of the domain is -12. There is a break at x = -6, but there is still a closed circle, which means that there IS a value for -6. The same occurs at x = 6. The largest x-value of this graph is 10.

Therefore, the domain is -12 <= x <= 10

Hope this helps!

Consider the following null and alternative hypotheses.

H zero: m < 67

Ha: m > 67

These hypotheses _______________.


Select one:
a. are established incorrectly
b. indicate a two-tailed test
c. indicate a one-tailed test with a rejection area in the right tail
d. indicate a one-tailed test with a rejection area in the left tail

Answers

Answer is c indicate a one tailed test

Help 111111111111111

Answers

Answer:

6/11

Step-by-step explanation:

[tex]p(number \: less \: than \: 4) = \frac{3}{11} [/tex]

[tex]p(odd \: number) = \frac{5}{11} [/tex]

[tex]p(number \: \: less \: than \: 4 \: and \: odd) = \frac{2}{11} [/tex]

Now we know that

[tex]p(aUb) = p(a) + p(b) - p(anb)[/tex]

[tex]p(getting \: number \: less \: than\: 4 \: or \: odd \: number) = [/tex]

[tex] = \frac{3}{11} + \frac{5}{11} - \frac{2}{11} [/tex]

[tex] = \frac{6}{11} [/tex]

I hope it helped you

Find the smallest whole number by which 2268 should be multiplied so as to
get a perfect square number. Also find the square root of the square number
so obtained.

Answers

Answer:

Correct option is B)

252=

2×2

×

3×3

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number  by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

×

3×3

×

7×7

252×7

=

2×2

×

3×3

×

7×7

=2×3×7=42

Step-by-step explanation:

To find the smallest whole number by which 2268 should be multiplied to get a perfect square, we need to factorize 2268 into its prime factors. Then, we can determine which prime factors are needed to make the number a perfect square.

The prime factorization of 2268 is:

2268 = 2^2 * 3^2 * 7 * 9

To make it a perfect square, we need to include the missing factors. In this case, we are missing a factor of 2 and a factor of 3. Therefore, we need to multiply 2268 by 2 * 3 = 6.

2268 * 6 = 13608

Now, we have a perfect square number, 13608.

To find the square root of 13608, we can take the square root of each of its prime factors:

√(2^2 * 3^2 * 7 * 9)

= √2^2 * √3^2 * √7 * √9

= 2 * 3 * √7 * 3

= 6 * √7

So, the square root of the square number 13608 is 6√7.

After several days of camping and long-distance bicycle riding, you decide to right straight home, riding at a constant rate. After 2 hours of riding you
kilometers from home and after 4 hours of riding youare 5 kilometers from home. Once you begin to ride home, how many hours will it take you to arrive at home?

Answers

Answer:

I just need points.

Step-by-step explanation:

Simplify 2x-- yfor x = 3 and y=-2.
•20
•14
•16
•10

Answers

Answer:

8 (none of the above)

Step-by-step explanation:

Given that,

→ x = 3

→ y = -2

Let's solve the equation,

→ 2x - y

→ 2(3) -(-2)

→ 6 + 2

→ 8 is the answer.

1 dozen roses for $29.75 how much does one rose cost

Answers

Answer:

$2.48

Step-by-step explanation:

29.75/12 =2.479

Which expression is equivalent to 4x+2y-8x

a) 2(3y-2x)

b) 2 (4y-2x)

c) 2(2y+3x)

d) 2(3x-2y)

Answers

The answer to your question is D.

What is value of 5 in 2 500.7

Answers

Answer:

500

Step-by-step explanation:

Since the 5 is in the hundreds place in the number 2500.7, its value is 5 * 100 = 500.

Answer:

hundreds

Step-by-step explanation:

If a number cube is rolled, how many times would we expect to get a number less than four out of 200 trials? Answer is 100

100
25
50
75

Answers

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

How to determine the expected number of rolls?

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

100

Step-by-step explanation:

In the figure below, find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.​

Answers

Check the picture below.

A system of equations is given below. To solve this system using substitution, which of the following equations could be used?
A. 2x-4x-6=8
B. 2x- (4x-6)=8
C. 2x+3(4x-6)=8
D. 2x-3(4x-6)=8

Answers

A’s answer is in the negative number so i think that is correct
Other Questions
A formula for the perimeter of a rectangle is P=2(l+w), where P is the perimeter, l is the length, and w is the width.If the length of a rectangle is 64 centimeters and the width is 22 centimeters, what is the perimeter? Which statement describes a struggle over water rights between Egypt and Ethiopia over the Nile River?Both countries want to ensure that the flow of the Nile is steady in all of the countries it passes through.Both countries want more control over the flow of the river for irrigation and electricity production.Each country wants the other country to sign the Nile Waters Agreements.Each country wants the other country to be responsible for wastewater treatment along the river. Tokugawas sons controlled the cities of Mito, Wakayama, anda.Nagoyac.Edob.Kyotod.OsakaPlease select the best answer from the choices providedABCD to how many decimal places are you supposed to 'estimate' the answer to? What is the area of the trapezoid? (-2, 6) (3,6) (-4,-6) (5.-6) 1) Solve the inequality 20 62 < -10. Give the correct order of the classification groups from largest to most specific.1) Species-Genus-Family- Order- Class- Phylum-Kingdom- Domain2) Domain-Kingdom-Class-Phylum-Order-Family-Genus-Species3) Domain-Kingdom-Phylum-Class-Order-Family-Genus-Species4) Kingdom-Domain-Phylum-Class-Order-Family-Genus-Species Where is the westernmost point of mainland europe?. 4.Draw Inferences What improvements to computers do you think make itpossible for them to be used in fields such as agriculture and forestry? The diagram shows some of the energy inputs and outputs for a farm animal. How much of the energy in the cow's food was transferred into food for humans? Riley has a fish tank in the shape of a rectangular prism like the one shown.A box that measures 7 inches by 10 inches by 7 inches.How much water can the tank hold?24 cubic inches70 cubic inches119 cubic inches490 cubic inches PLEASE HELP!!! Which country was the first to follow and use the principles of the AmericanRevolution? England with the English Bill of RightsBBolivia with the struggles of Simon BolvarFrance with the French RevolutionDEngland with the Magna Carta tan^(2)x-tanx=0Pls Help URGENT! :) CAN YOU PLEASE HELP ME! 100 PTS! Add a possessive pronoun:The children were thrilled that theidea that had been chosen for thefinal product was......please tell me what this is, i am so confused Whats the difference between Dark Psychology and reverse Psychology Need help 10 points why is it important to find natural remedies and not just rely on medicine? please help I'll give you the brainliest. 5times5 =..:.::.please help part of the text is seen in this section of the story?pught back to thetime when I used to sit up all night and didn't sleep, and my grandfather wouldhis gun right by the fireplace, or if he had his one-horse wagon going anywhere, he always hadun in the back of the wagon. People always say that I didn't give up my seat because I was tired.hat isn't true. was not tired physically, or no more tired than I usually was at the end of acing day. I was not old. although some people have an image of me as being old then. I was-two. No, the only tired I was, was tired of giving in."ntroductionommentaryvidenceonclusion