Manfred botched the landing. His little propeller plane came in to land
at 100 knots - way too fast. His flight instructor shouted "Slow down!"
over and over again, but Manfred just wanted to be on the ground as
soon as possible. When he hit the runway, the landing gear nearly
snapped off, and he failed the flight exam. I'll never fly again he
decided
Which statement best describes how the conflict helps make the story
engaging?
A. Airplanes will continue to pose a great danger to Manfred, which is
suspenseful.
O B. The conflict between Manfred and his flight instructor is likely to
turn violent
C. Learning to fly is a symbol for the trials that all people must face
during adulthood
O D. Manfred stubbornly vows never to fly again, which causes tension

Answer:

[tex]x=4;\ y=4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x=4[/tex] since it is an isosceles triangle.

[tex]y=\sqrt{4^2+4^2}=\sqrt{32}=4\sqrt{2}[/tex] due to Pythagoras' theorem.

Answer:

10, 12, 30 - no

6, 8, 10 - yes

8, 16, 24 - no

20, 21, 28 - no

Step-by-step explanation:

Just plug them into the Pythagorean Theorem equation (a² + b² = c²)

Brₐinliest plz close to leveling up

Answer:

31

Step-by-step explanation:

They're technically asking you to find the missing angle. 61+57 is 118. 180-118 is 62. Since they're asking  2x, you do 62 divided by 2, which is 31.

4/14 does not = 6/20

2/12 does not = 3/18

Thus, NEITHER is the answer.

Answer:

The expression is A that is -b

Answer:

Step-by-step explanation:

An investment banker received a bonus and invested that money in two investments. He put a certain sum

of money in the first investment that returned 7% interest after one year. In the second investment he

Invested four times that of the first investment and got a 12% interest return after one year. If the total

interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.

Answer:

Man yur tripping playstation better jhit

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Hope This helps! : )

Answer:

the answer i got is 10

im taking the same test right now

Step-by-step explanation:

Answer:

160 for the rectangle table and 91 for the round table

Hi there!

To begin, we can distribute sec²x with (1 - sin²x):

= sec²x - sec²xsin²x

Which simplifies to:

= sec²x - tan²x

Recall the Pythagorean identity:

1 + tan²x = sec²x

Rearrange alike to the solved for expression above:

1 = sec²x  - tan²x

Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.

Answer:

B) <

Step-by-step explanation:

b is the answer because -1 is bigger than 0 so, the answer is b.

Answer:

arc EI = 103°

arc EGI = 257°

Step-by-step explanation:

arc HI = 77° because they are alternate angles

arc EI = (360° - 77° - 77°)/2 = 103°

arc EGI = 360° - 103° = 257°

Answer:

3 inches per hour

Step-by-step explanation:

hope this helps

Answer:

75 units

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

answer given by IXL

Answer:

Solution to Problem 1:

Use the fact that the sum of all three angles of a triangle is equal to 180 o to write an equation in C.

A + B + C = 180 o

Solve for C.

C = 180 o - (A + B) = 43 o

Use sine law to write an equation in b.

a / sin(A) = b / sin(B)

Solve for b.

b = a sin (B) / sin(A) = (approximately) 5.4 cm

Use the sine law to write an equation in c.

a / sin(A) = c / sin(C)

Solve for c.

c = a sin (C) / sin(A) = (approximately) 7.1 cm

Problem 2

The angle of elevation to the top C of a building from two points A and B on level ground are 50 degrees and 60 degrees respectively. The distance between points A and B is 30 meters. Points A, B and C are in the same vertical plane. Find the height h of the building(round your answer to the nearest unit).

diagram problem 2

Solution to Problem 2:

We consider triangle ABC. Angle B internal to triangle ABC is equal to

B = 180 o - 60 o = 120 o

In the same triangle, angle C is given by.

C = 180 o - (50 o + 120 o) = 10 o

Use sine law to find d.

d / sin(50) = 30 / sin(10)

Solve for d.

d = 30 *sin(50) / sin(10)

We now consider the right triangle.

sin (60) = h / d

Solve for h.

h = d * sin(60)

Substitute d by the expression found above.

h = 30 *sin(50) * sin(60) / sin(10)

Use calculator to approximate h.

h = (approximately) 115 meters.

Problem 3

A triangle ABC has side a = 12 cm, side b = 19 cm and angle A = 80 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).

Solution to Problem 3:

Use sine law to write an equation in sin(B).

a / sin(A) = b / sin(B)

Solve for sin(B).

sin (B) = (b / a) sin(A) = (19/12) sin(80) = (approximately) 1.6

No real angle B satisfies the equation

sin (B) = 1.6

The given problem has no solution.

Problem 4

A triangle ABC has side a = 14 cm, side b = 19 cm and angle A = 32 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).

Solution to Problem 4

Use sine law to write an equation in sin(B).

a / sin(A) = b / sin(B)

Solve for sin(B).

sin (B) = (b / a) sin(A) = (19/14) sin(32) = (approximately) 0.7192

Two angles satisfy the equation sin (B) = 0.7192 and the given problem has two solutions

B1 = 46.0 o and B2 = 134 o

Solution 1: Find angle C1 corresponding to B1

C1 = 180 - B1 - A = 102 o

Solution 1: Find side c1 corresponding to C1

c1 / sin(C1) = a / sin(A)

c1 = 14 sin(102) / sin(32) = (approximately) 25.8 cm

Solution 2: Find angle C2 corresponding to B2

C2 = 180 - B2 - A = 14 o

Solution 2: Find side c2 corresponding to C2

c2 / sin(C2) = a / sin(A)

c1 = 14 sin(14) / sin(32) = (approximately) 6.4 cm

Exercises

1. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place).

2. Redo problem 2 with the distance between points A and B equal to 50 meters.

Solutions to Above Exercises

1. B = 43 o, a = 16.0 m , b = 11.3 m

2. 191 meters.

More References and Links to Sine and Cosine Laws

sine law

Sine Law Calculator and Solver.

Geometry Tutorials, Problems and Interactive Applets.

Cosine Law Problems.

Cosine Law Calculator and Solver.

POPULAR PAGES

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Cosine Law Problems

Sine Law - Ambiguous case - applet

Triangles

Triangle Problems

Answer:

x= 40°

Step-by-step explanation:

since the angles of the quadrilateral add up to 360°

then to find the agle x:

step:1

add alll the angles given in the quadrilateral

100+120+100

= 320

step:2

now subtract the sum of the quadrilateral from the sum of alll angles

360°-320° = 40°

therefore the answer equates to 40°

Answer:

360-(100+120+100)

360-320

40

Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

Answer:

The answer is 22.

Explanation:

Multiply -1 by -9.

[tex]13 + 9[/tex]

Add 13 + 9.

[tex]22[/tex]

Therefor, the answer is 22.

Answer:

0%

Step-by-step explanation:

Since there are no red marbles in the bag, there is no chance that a red marble will be picked.

Answer:

n<

9/8

explanation

simplify n+ -7/4 < -5/8

add 7/4 to both sides

= n< 9/8

Answer:

82 degrees

Step-by-step explanation:

It should all equal 180 so 52+46=98 and 180-98 is 82

Answer:

1. their

2. your

3. there

4. You're

5. they're

6. it's

Step-by-step explanation:

Answer: Below

1. Their

2. i dont know sorry

3. There

4. Your're ( I think, I am not good at the Ys

5. They're

6. I think it's

Please do not take these answer for granted I am trying my best

Thank you and have a great nae nae

-10 and -1

Step-by-step explanation:

Answer:

-10, and -1

Step-by-step explanation:

Answer:1,706

Step-by-step explanation:

Add

Answer:

58,050,000 grams= 58050kg

Step-by-step explanation:

58059kg is the answer

Answer:

rose: $2.75; carnation: $1.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dimensions:

Area is:

Answer:

Answer is 980.

Step-by-step explanation:

First what you should do it figure out 14^2 which is 196 then you times that by 5 which gets you 980. Hope this helps.

Answer:

The answer is 980.

Step-by-step explanation: to follow pemdas you first start with the exponents for there are no parenthesis. So to do this 14^2 is just 14x14 with is 196. Then you take that and multiply it by the 5 to get your end product. 196x5=980.

Hope this helps.

Answer:

The possible locations are;

(3, 4), (3, 12), (7, 4), and (7, 12)

Please find attached the plot of the points created with Microsoft Excel      

Step-by-step explanation:

The given parameters of the plot of Oliver's backyard are;

The area of the right triangular plant bed Oliver wants to design, A = 8 yd²

The length of a/each unit of the plot = 1 yard

The location of one of the vertex of the right triangular area = (3, 8)

The location of the other vertex of the right triangular area = (7, 8)

We note that the area of a triangle, A = 1/2 × Base length, B × Height, h

Let the distance between the two plotted point represent the base length, 'B', therefore;

B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;

Therefore, the base length, B = 4 yards

A = 1/2 × B × h

∴ A = 8 yd.² = 1/2 × 4 yd. × h

h = 8 yd.²/ 2 yd. = 4 yd.

The height of the right triangle, h = 4 yd.

Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;

(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).

Answer:

3,4 7,4

Step-by-step explanation: