A triangle has sides with lengths 8, 15, and 17.

1. Verify this is a Pythagorean Triple

2. Approximate the acute angles in this triangle

Answers

Answer 1

Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

What is the Pythagorean Triple?

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, A triangle has sides with lengths 8, 15, and 17.

1) Checking for Pythagorean triples;

17² = 289

8²+15² = 225+64 = 289 = 17²

∴ 17² = 8²+15²

Since, they are following the Pythagoras theorem so, they are  Pythagorean triples.

2) Calculating the acute angles:-  [please refer to attached figure]

Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,

sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)

∠ C = sin⁻¹(15/17)

∠ C = 61.92°

∠ A = 90°-61.92°

∠ A = 28.08°

Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

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A Triangle Has Sides With Lengths 8, 15, And 17.1. Verify This Is A Pythagorean Triple2. Approximate

Related Questions

Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)

Answers

Answer:

438 x 934=409092

Step-by-step explanation:

I hope this helps.

Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches

Answers

Answers:

Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball

===============================================

Work Shown:

Beach ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6

V = 904.32

V = 904 cubic inches is the approximate volume of the beach ball

------------------------

Toy ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3

V = 113.04

V = 113 cubic inches is the approximate volume of the toy ball

--------------------------

Divide the two volumes to find that 904/113 = 8

This means that the beach ball is 8 times greater in volume compared to the toy ball

We can say

[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]

The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is  6,333.

Hope this helps.

According to the graph, what is the value of the constant in the equation
below?
25+
(3.25)
Height
Constant
Width
20 +
15
(5, 15)
Height
10
(15,5)
(25,3)
10
15
20
25
Width
O A. 5
B. 100
O c. 10
O D. 75

Answers

Answer:The Answer is C

Step-by-step explanation:

The value of the constant in the equation below is 100. So, the correct option is (C).

What is Height?

Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.

Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.

Height equation: H= C/W

where, H is the height, C is the constant and W is the width.

We choose a point given in the graphic, I will choose (4,25), which means that when W=4  and H=25 . We use this to find the constant. So

25=C/3

C= 100

Thus, the value of the constant in the equation below is 100. So, the correct option is (C).

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please help me 80% of what number is 16
What is the part?
What is the total?
What is the percent?
What is the answer?​

Answers

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5

Answers

Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

PLEASE HELPPPP

Find the equation of the line

Answers

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope = 3/4

Y intercept = - 2

Solve for the unknowns.
a, b , c ,d

Answers

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

Can someone please help and explain? Will give brainliest to most helpful

Answers

Answer:

x = 44

y = 22

Step-by-step explanation:

✔️Find x:

Reference angle = 60°

Hypotenuse = x

Opposite side length = 22√3

Applying the trigonometric FUNCTION, SOH, we have:

Sin 60 = opp/hyp

Sin 60 = (22√3)/x

x × Sin 60 = 22√3

x = (22√3)/Sin 60

x = (22√3)/(√3/2) (sin 60 = √3/2)

x = 22√3 × 2/√3

x = (22√3 × 2) / √3

x = (44√3) / √3

x = 44

✔️Find y:

Reference angle = 60°

Hypotenuse = x = 44

Adjacent length = y

Applying CAH, we have:

Cos 60 = adj/hyp

Cos 60 = y/44

44 × Cos 60 = y

44 × ½ = y (cos 60 = ½)

22 = y

y = 22

Answer:

x=44,y=22

Step-by-step explanation:

sin 60=22√3/x

x=22√3/sin60=44

sin30=y/x

y=sin30×44=22

Find the product of 2/3 and 9/10
4 points

Answers

Answer:(2/3) + (9/10) = 47/30

= 1 17/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/3 x 9/10

=(2x9)/ (3x10)

=18/30

The simplest form of 18/30 is 35.

How I got this answer: First you need to write out your equation, Then you need to multiply like so, Take the first number of your first equation and multiply it by the first number in the second equation then do that for your second like this (2x9) and take (3x10) mulitply both and you get 18 for the first then 30 for the second, if you need that in simplest form. then it will be 35. Hope this helps Have a wonderful day  

Nobody knows it somebody hel

Answers

The answer would be 160!!

The required value of x = 12 and the side length of the triangle is 12 units. which is determined by Pythagoras's theorem.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one angle is equal to the sum of the squares of the other two sides.

The given triangle is a right-angled triangle.

As per Pythagoras's theorem,

⇒ a² + b² = c²

Here a = 16, b = x and c = 20

Substitute the values in the formula,

⇒ 16² + x² =20²

⇒ 256 + x² = 400

⇒ x² = 400 - 256

Apply the subtraction operation,

⇒ x² = 144

⇒ x = √144

⇒ x = 12

Therefore, the required value of x is 12 units.

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Use the conversion that 1 ounce is approximately 28.35 grams to calculate the unit price per ounce for 283.5 grams at $5.48.
a.
$0.06
b.
$0.55
c.
$5.48
d.
$54.80

Answers

Answer: B

Step-by-step explanation:

10 ounces in 283.5

5.48/10=0.548

reduce to 0.55

Answer:

Use the conversion that 1 ounce is approximately 28.35 grams to calculate the unit price per ounce for 283.5 grams at $5.48.

a.

$0.06

b.   <<<<<<<-------CORRECT

$0.55

c.

$5.48

d.

$54.80

Step-by-step explanation:

eDGE 2021

А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С

Answers

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

Solve the following quadratic equation for all values of x in simplest form.
20+ 2x= 28

Answers

Answer:

x = 4

Step-by-step explanation:

To solve, we need to isolate x.

Start by moving the 20 to the other side by subtracting it from both sides.

2x = 8

Since x is being multiplied by 2, we need to divide both sides by 2 to move it to the other side.

x = 4

plzzzz I have no idea what to do

Answers

Answer:

201

Step-by-step explanation:

Answer:

I am gonna be honest with you I don't

know this answer but I have something that might help

COPY THIS :  https://miniwebtool.com/exponential-growth-calculator/

Step-by-step explanation:

A baseball team offers a promotion. Normally it’s $12 for bleacher seats, but every specially marked soda can takes $0.50 off the price.
Make a table with the following information:
Cans: 0, 2, 4, 6
Cost:


Equation:

Answers

Answer:

$12,$11,$10,$9

Step-by-step explanation:

As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example.

cans:  0    2   4    6

cost:  12   11   10   9

that is the table; the equation to figure this out would be

if you say that 1 can is = to "x"

then the equation becomes much easier to write down and you can simply write it down for each price

cost = 12

cost = 12 - 2x = 11

cost = 12 - 4x = 10

cost = 12 - 6x = 9

making x worth 0.5

Answer: $12,$11,$10,$9

Step-by-step explanation:

As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example. cans:  0    2   4    6 cost:  12   11   10   9 that is the table; the equation to figure this out would be if you say that 1 can is = to "x" then the equation becomes much easier to write down and you can simply write it down for each price cost = 12 cost = 12 - 2x = 11 cost = 12 - 4x = 10 cost = 12 - 6x = 9 making x worth 0.5

Question
A county fair attracts large crowds of people every year. Ideally, 280,000 people come to the fair, but this value can vary by
as many as 8,500 people. What are the maximum and minimum numbers of people expected to attend the fair?

Answers

Answer:

the maximum amount of people would be 288, 500 and the minimum would be 271,500

Step-by-step explanation:

basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum

There could be up to 288.500 persons present, with a minimum of 271,500.

What is an expression?

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.

Maximum = 2800000 + 8500 = 288,500

Minimum = 271,500 - 8500 = 263000

Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.

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The half-life of a radioactive kind of barium is 3 minutes. How much will be left after 6
minutes, if you start with 80 grams of it?

Answers

Answer:

20 Grams will be left after 6 minutes.

Step-by-step explanation:

Please help me find the correct answers ​

Answers

Answer:

1) 63cm²

2)28.27cm²

(dont put the cm² in your answer though since its already there)

Step-by-step explanation:

Surface area of the cardboard part formula :

Base × Height

you have the radius going half way so add another 3cm to make it 6cm so you have the full length

6 x 10.5= 63cm²

Plastic part of the can :

[tex]\pi \: r^{2} [/tex]

3cm is your radius so.

[tex]\pi \times 3 ^{2} = 28.27433388[/tex]

but its asking you to round to the nearest hundredth so

28.27cm²

What was the shortest measurement?
Length of insects (in inches)

Answers

Answer:

[tex]1\frac{1}{2}[/tex] inches

Step-by-step explanation:

The shortest measurement is the smallest number with a x over it. In this case, the smallest one is [tex]1\frac{1}{2}[/tex] inches.


What is the area of the triangle?
O 216 cm?
O 288 cm2
O 324 cm2
O 576 cm
Base:36
Hight 16

Answers

Answer:

288 cm^2

Step-by-step explanation:

Area of Triangle: 1/2bh

1/2(36)(16)

1/2(576)

288

216 is the real answer i took the test.

Given

mZAOC = 104°
mZAOB = 7x + 30°
mZBOC = 9x + 42°

Find mZBOC:

Answers

Answer:

The answer is 60°

Step-by-step explanation:

From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.

We also know that mZAOC is 104°

This means that the two other angles have to make up 104°

To figure out mZBOC,

First, you can subtract 30 and 42 from 104.

We do this because it allows us to focus on the variables.

104-30-42=32

Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.

7(2)+9(2)=32

Now that we know what x equals we can substitute it into the equation for mZBOC.

9x + 42°

9(2) + 42°

60°

Thus, mZBOC equals 60°

The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D

Answers

Answer:

D and E

Step-by-step explanation:

Answer: d and e!

Step-by-step explanation:

:)

What would be the area of a polygon that is 15 and 18 inches??

Answers

Answer:

270

Step-by-step explanation:

15x18

Candy company produces 4800 candies per minute. How many in an hour. Must show work

Answers

Answer:

288,000 candies in 1 hour

Step-by-step explanation:

4800 candies per minute

60 minutes = 1 hour

4800 × 60 = 288,000

Enter numbers in figures to complete the passage below.
Give all values in pounds and pence, e.g. £3.50 not £3.5
SALE
Taal buys a jacket in the sale.
It has 15% off and he pays £42.50.
The original price of the jacket was £
He saved £

Answers

Answer:

£50 ; £7.50

Step-by-step explanation:

Given that:

Discount on sale, d = 15%

Amount paid = £42.50

Hence the relation to obtain the amount paid goes thus ;

Amount paid = (1 - d) * original amount

Let original amount = x

42.50 = (1 - 0.15)x

42.50 = 0.85x

x = 42.50 / 0.85

x = £50

Amount saved :

£(50 - 42.50) = £7.50

Someone please help me answer this!!

Answers

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Combine exponents by multiplying (2x3=6)

Answer:

[tex]y^6[/tex]

Step-by-step explanation:

[tex](y^2)^3[/tex]

Use the rules of exponents to simplify the expression.

[tex](y^2)^3[/tex]

To raise a power to another power, multiply the exponents.

y^2x3

Multiply 2 times 3.

y^6

Snigdha can type 550 words in half an hour how many words would she type in 6 minutes​

Answers

Answer:

110

Step-by-step explanation:

took the same test 1 week ago

Answer:

110 words

Step-by-step explanation:

What we know:

- Snigdha can type 550 words in 30 minutes

1) Find how many words they can type in 1 minute

To do this, divide 550 words by 30 minutes:

550÷30=18.3333... words

Therefore, Snigdha can type approximately 18 words in one minute.

2) Multiply 18 words by 6 minutes

18.3333...×6=110

Therefore, Snigdha can type 110 words in 6 minutes.

I hope this helps!

write equations of each line in slope-intercept form

Answers

Lost in your love lost in your so 1-1=0 yeah

1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2

Answers

1-9 eusnanednjwnxjnd is 10

If a rocket travels 68,732 milometers in 3 hours, what is it's speed?
a) 23,000 Km/hr
b) 23,000 hr/km
c) 22,910 hr/km
d) 22,911 km/hr

Answers

Answer:

v = 0.0229 km/h

Step-by-step explanation:

Given that,

Distance, d = 68,732 milometers = 0.0687 km

Time, t = 3 hours

We need to find the speed of the rocket. The speed of an object is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{0.0687}{3}[/tex]

v = 0.0229 km/h

So, the speed of the rocket is 0.0229 km/h.

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