Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Answer:

73.21 m

71.68°

Step-by-step explanation:

Like the question has stated, we're to solve this using Pythagoras theorem.

Pythagoras theorem states that

opp² + adj² = hyp²

From the question, we're asked to find the hypotenuse, being given the opposite side and the adjacent. The opposite side is the center of the Ferris wheel above the ground, and that is 69.5 m. While the adjacent is the distance of the second anchor.

Succinctly put, we have

69.5² + 23² = hyp²

4830.25 + 529 = hyp²

hyp² = 5359.25

hyp = √5359.25

hyp = 73.21 meters.

Therefore, the length of the cable is 73.21 meters long.

To get the angle, we use the formula

Sin Φ = opp/hyp

Sin Φ = 69.5 / 73.21

Sin Φ = 0.9493

Φ = sin^-1 0.9493

Φ = 71.68°

Therefore, the angle of elevation to the center of the Ferris wheel is 71.68°

Answer:

1

Step-by-step explanation:

olokvdu lvg chain district en kff egg iihf tango

Answer:

So the surface area consists of 2 triangles and 3 different rectangles

Triangle area = 1/2 * 8cm * 6cm = 24cm²

Rectangle a area (bottom one) = 17cm * 8cm = 136cm²

Rectangle b area (the one to the left) = 17cm * 6cm = 102cm²

To calculate Rectangle c we need to know the hypotenuse of our triangles

Formula for the hypotenuse is c = [tex]\sqrt{a^2+b^2}[/tex]

so c = [tex]\sqrt{6^2+8^2}[/tex] = 10

Rectangle c area = 17cm * 10cm = 170cm²

So the surface area is 2 * 24cm² + 136cm² + 102cm² + 170cm² = 456cm²

The volume is 1/2 * h * a * b = 1/2 * 6cm * 8cm * 17cm = 408cm³

Answer:

k+6=29, then k=23

Step-by-step explanation:

Answer:

i don't sorry thanks for the points though

Step-by-step explanation:

Answer:

I do, not from India though.

Step-by-step explanation:

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Answer:

1/3

Step-by-step explanation:

There are 2 different options to get a 1 or a 6 out of 6 total options, so:

2/6 = 1/3.

Answer:

I'm assuming you are looking for the amount of possible outcomes

1. 10 possible outcomes

2. 15 possible outcomes

Step-by-step explanation:

When you first start solving these problems the easiest thing to do is create a diagram of sorts to list all of your possible outcomes. For the first question the coin will either land on heads or tails and the spinner will land on the numbers 1, 2, 3, 4, or 5. Therefore the possible outcomes are H1, H2, H3, H4, H5, T1, T2, T3, T4, or T5. Add them up to get 10 possible outcomes. For the second question you will either pick 1, 2, 3, 4, or 5 and the colors red, white, or blue. Listing out all the possibilities gives you 1R, 2R, 3R, 4R, 5R, 1W, 2W, 3W, 4W, 5W,1B, 2B, 3B, 4B, or 5B. Add them up to get 15 possible outcomes.

Alternatively

For the first question you flip a coin thus you have a 1/2 chance for landing on either, then you spin the wheel where you have a 1/5 chance to land on any of the numbers. Multiply these values together you have a 1/10 chance, therefore there are 10 possible outcomes.

For the second question you have a 1/5 chance for the number and a 1/3 chance for the color. Multiply to get 1/15, therefore you have 15 possible outcomes.

Answer:

x < 0

Step-by-step explanation:

|120+x| , if x < −120

1. Set |120+x| = 0

2. x < 0

Answer:

|120+x| x<-120 so, -121

|120+(-121)|

l-1l

=1

Answer:

number to the right of 0 is 16

the number that is the least is -15

-15 is farther from 0 than -9 is

Step-by-step explanation:

Answer:

Answer:

number to the right of 0 is 16

the number that is the least is -15

-15 is farther from 0 than -9 is

Step-by-step explanation:

Hope it right cause..

Answer:

A. 57m   B. 130m

Step-by-step explanation:

For problem A:

87m up a cliff - 30m up a cliff = 57m up a cliff

These are all positive values

For problem B:

100m above is talking about a positive value, making this a positive number

30m below is talking about a negative value, making this number -30

0 meters represents the surface

As you can see, this is forming a number line as of which

below the surface------------------------0m-------------------------above the surface

by substitution,

-30-----------------------------------------------0-------------------------------100

therefore, 100 - -30 = 130 meters

Answer:

n = 80

Hope this helps(:

Step-by-step explanation:

Answer:

8 times 10 minius 26 plus 6 -10 plus 30 is ur anwser lol

Step-by-step explanation:

Answer:

[tex]\sqrt[3]{-27}[/tex]=-(3*3*3)

[tex]\sqrt[3]{-27}[/tex]=-3

-3 is a rational number, thus [tex]\sqrt[3]{-27}[/tex] will be a rational number.

Answer:

no they don't because you could not use those numbers

Answer:

A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle

Answer:

4/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

C) added to the book balance

Step-by-step explanation:

It was never subtracted from the bank balance

Answer:

216 sq m

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)*L

Where,

b = 6 m

h = 8 m

s1 = 10 m

s2 = 8 m

s3 = 6 m

L = 7 m

Plug in the values

Surface area = 6*8 + (10 + 8 + 6)*7

Surface Area = 48 + 24*7 = 216 m²

Answer:

sorry i dont know the answer

Answer:

23π

--------- radians

18

Step-by-step explanation:

To convert degrees to radians, multiply by

π

------- , since a full circle is 360° or 2π radians.

π

230°⋅ -------- radians

180°

π

Combine 23 and -----

18

23π

. --------- radians

18

I hope I helped, and I always appreciate brainliest!!! :)

Answer:

D

Step-by-step explanation:

5 divided by 4 is just 5/4 written out

Answer:

Volume of cuboid = length × breadth × height. Here, length = 14 cm, breadth = 12 cm and height = 8 cm. Volume of cuboid = 14 × 12 × 8 cubic cm. = 1344 cubic cm.

Step-by-step explanation:

Answer:

3m+3p

Step-by-step explanation:

Sum of m and p is expressed as;

m + p (sum means addition)

If 3 is multiplied  by the sum, this is expressed as;

3(m+p)

Expand

3m + 3p

Hence the required expression is 3m+3p

Answer: She had 27.2% correct.

Step-by-step explanation: To find the percent, we can divide the part and whole then multiply the quotient by 100. After that we'll need to convert the percent to a decimal. In mathematical terms, the formula will be,

[tex]\frac{part}{whole}=quotient*100[/tex]

40% will be the part and 68% will be the whole.

Step 1.

Convert 40 into a decimal by dividing it by 100.

40 ÷ 100 = 0.4

Step 2.

Multiply 0.4 by 68.

0.4 × 68 = 27.2

Hence, she had 27.2% correct.

[tex](x1y1) = ( - 22 - 3) \\ (x2y2) = (1 - 3) \\ d = \sqrt{ {x 2 - x1) }^{2} } + {(y2 - y1) }^{2} \\ \sqrt{ {(1 - - 22)}^{2} } + {( - 3 - - 3)}^{2} \\ \sqrt{ {(1 + 22)}^{2} } + {(0)}^{2} \\ \sqrt{ {(23)}^{2} } \\ = 23 \: \: \: \: answer \: \: \: please \: \: supprt \: \: and follow \: \: me [/tex]

Answer: -13

Step-by-step explanation:

2-(3^2)+4-3-7 = -13

Answer:

17

Step-by-step explanation:

2x²+4x-7

-6²+(-12-7)

36+(-19)

17