Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)

Find The Length Of The Hypotenuse.Round To The Nearest 10th If Necessary.(40pts)

Answers

Answer 1

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

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

c = 5

5 is our hypotenuse

Answer 2

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]


Related Questions

To prepare for a wedding, Aiden bught 60 candles. He paid $0.37 for each candle. His sister bought 170 candles at a sale where she paid $0.05 less for each candle than Aiden did. How much did Aiden spend on candles, how much did his sister spend on candles, and who spent more on candles (how much more when you answer this question).

Answers

Answer:

Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.

Step-by-step explanation:

How do u solve this?

Answers

Answer:

first you need a problem to solve.

Step-by-step explanation:

what is the question here?

PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***



options:

4


4√3


8


8√3

Answers

4 sqrt 3 is your answer (b)

In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no more than 4.8. . A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.Is 20 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

Answers

Answer:

Yes, 35 feet is enough

The angle of elevation is 4.1º

f(x)=x^2-12x+20
a. f(0) = ?
b. f(2) = ?
c. f(x) = 0,x = ?
d. f(x)= 9,x = ?

Answers

Answer:

c . f(x)=0,x=????????????

. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.

Answers

Answer:

x= -3

Step-by-step explanation:

[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]

Multiply both sides by 15 (LCM of 3 and 5):

[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]

5(x +6) -3(x +8)= 0

Expand:

5x +30 -3x -24= 0

2x +6= 0

-6 on both sides:

2x= -6

x= -6 ÷2

x= -3

0.03249 in standard form to 3 significant figures is

(A) 3.24 × 10−1

(B) 3.24 × 10−2

(C) 3.25 × 10−2

(D) 3.25 × 10−3

Answers

I think the answer is d

Pls help!! What is the equation for the line in slope-intercept form​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?

Answers

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5

can someone please tell me whether the answer is a, or b? or if it’s none of those. ty :)

Answers

The answer is b y=3x+1

y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

b) How fast should a boy of 40kg mass run so that the kinetic energy becomes 800J? ​

Answers

Answer:

v = 6.32  m/s

Step-by-step explanation:

Given Data:

Mass = m = 40 kg

Kinetic Energy = KE = 800 J

Required:

Speed = v = ?

Formula:

[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]

Solution:

Rearrange the formula for speed

[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which statement is true about point Y?

Point Y is the center of the circle that passes through points D, F, and N.
Point Y is the center of the circle that passes through points M, N, and E.
Point Y is the center of the circle that passes through points L, M, and N.
Point Y is the center of the circle that passes through points D, E, and F.

Answers

Answer:

D, E and F

Step-by-step explanation:

Beause y is a point. It is a prime example physics.

CAN SOMEONE TELL ME IF I CLICKED THE RIGHT AWNSER PLEASE

Answers

Answer:

yes your absolutely right

Step-by-step explanation:

you just are

Is it possible to have a bounded feasible region that does not optimize an objective function?

Answers

Feasible sets may be bounded or unbounded. ... If the feasible set is unbounded, there may or may not be an optimum, depending on the specifics of the objective function.

It is not possible to have a bounded feasible region that does not optimize an objective function.

What is the feasible region?

The viable zone is the common area that the linear programming problem's constraints all dictate.

There is an optimum value of the objective function if the feasible region is bounded and the function attains its optimum values at the extremes of the feasible region.

Hence,  it is not possible to have a bounded feasible region that does not optimize an objective function.

Learn more about the feasible region:

https://brainly.com/question/29314086

#SPJ2

joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?

Answers

Step-by-step explanation:

I don't know the answer really

1.) If you are dividing 1.7 by 8.5, how many places to the right will you need to move the decimal point in the divisor and dividend? a.) 1 b.) 2 c.) 3 d.) 0 2.) Find the quotient of 50 divided by 0.1. a.) 0.5 b.) 5 c.) 50 d.) 500 3.) In the division problem 0.86 ÷ 0.02, What would be the new dividend once you move the decimal as needed? a.) 8.6 b.86 c.) 43 d.) .2 4.) 6.9 divided by .3 is . a.) 2.3 b.) 23 c.) .23 d.) 123 5.) When 75.64 is divided by 0.61, the quotient is . a.) 124 b.) 125 c.) 134 d.) 126 6.) 7.26 ÷ 0.22 = N a.) 33 b.) 0.33 c.) 0.31 d.) 0.35 7.) 5.12 ÷ 0.10=n a.) 51.2 b.) 5.12 c.) 512 8.) Glen bought 0.75 meter of pink ribbon, which she will cut into 0.25meter strips for her Project in EPP. How many pieces did she make? a.) 3 b.) 4 c.) 5 d.) 6 9.) A bottle of medicine contains 27.5 ounces. I take 1.65 ounces each dose. How many doses are in th bottle? a.) 16.67 doses b.) 16 doses c.) 61 doses d.) 66 doses 10.) If Pathy earns Php256.25 for gardening. If she worked 20.5 hours this month, then how much did she earn per hour? a.) Php 12.5 b.) Php 125.00 c.) Php 25.00 d.) Php1.25 11.) 5.26 times 10 is . 12.) a.) 52.6 b.) 5.26 c.) .526 Divide 59 ÷ 7. Round off the answer to two places of decimals. d.) 5,260 a.) 8.44 b.) 8.53 c.) 8.43 d.) 8.42 13.) Which of the following mathematical equation has a quotient of 6.78? a.) 61÷ 7 b.) 61÷9 c.) 6.1÷ 9 d.) 9 ÷ 61 14.) How many 7 does 86 has? a.) 12 b.) 13 c.) 11 d.) 10 15.) What would be the remainder if you divide 59 by 9? a.) 3 b.) 5 c.) 6 d.) 1 16.) When the divisor is bigger than the dividend,the quotient is . a.) decimal in form b.) whole number c.) zero d. one 17.) 4÷9 = n a.) 0.4 b.) 0.5 c.) 0.6 d.) 07 18.) Which mathematical sentence below has a quotient of never ending decimal? a.) 24 ÷ 27 b.) 25 ÷ 25 c.) 1 ÷ 5 d.) 100 ÷ 500​

Answers

All the answers to the given fraction problems are;

1) A; 1

2) D: 500

3) B: 86

4) B: 23

5) A: 124

6) A: 33

7) A: 51.2

8) A: 3

9) A: 16.67 doses

10) A: Php 12.5

11) A: 52.6

12) C: 8.43

13) B: 61 ÷ 9

14) A: 12

15) B: 5

16) A: decimal form

17) A: 0.44

18) A: 24 ÷ 27

1) 1.7 ÷ 8.5

We need to change them to whole numbers by shifting the decimal points one place to the right to get; (17/85)

2) 50 ÷ 0.1

Shift decimal one place to the right to get;

500/1

Quotient = 500

3) 0.86 ÷ 0.02

The dividend is usually the numerator. Let us shift both numerator and denominator by two decimal places to the right to get; 86 ÷ 2

Thus, new dividend = 86

4) 6.9 ÷ 0.3

Move decimal points one place to the right to get;

69 ÷ 3 = 23

5) 75.64 ÷ 0.61

Move decimal points two places to the right to get;

7564 ÷ 61

Numerator written as a factor of denominator gives;

(124 × 61)/61

Quotient = 124

6) 7.26 ÷ 0.22

Move decimal points two places to the right to get;

726/22

Numerator written as a factor of denominator gives;

(33 × 22)/22 = 33

7) 5.12 ÷ 0.10

Move decimal points two places to the right to get;

512/10 = 51.2

8) A 0.75 m pink ribbon was cut into 0.25 m strips. Thus;

Number of pieces = 0.75/0.25

Move both decimals 2 places to the right to get;

75/25 = 3 pieces

9) A bottle contains 27.5 ounces

You take 1.65 ounces for each dose.

Number of doses per bottle = 27.5/1.65

Move decimal points two places to the right; 2750/165

Number of doses per bottle = 16.67 doses

10) She earned Php256.25 for gardening.

She worked 20.5 hours the month.

Amount earned per hour = 256.25/20.5

move decimal places two points to the right to get;

Amount earned per hour = Php 12.5

11) 5.26 times 10

move decimal place two points to the right to get;

(526 × 1/100) × 10 = 52.6

12) 59 ÷ 7

Nearest multiple of 7 to 59 is 8.

Thus, 59 ÷ 7 = 8³/₇

⇒ 8.43

13) The one that gives a quotient of 6.78 is;

61 ÷ 9

14) How many 7 does 86 have?

This is; 86 ÷ 7

Nearest multiple of 7 to 86 is 84 which is 12 × 7

Thus, there are 12 numbers of 7 in 86.

15) Remainder if you divide 59 by 9

Nearest multiple of 9 to 59 is 54 which is 9 × 6.

Remainder = 59 - 54 = 5

16) When divisor is bigger than the dividend, it means the denominator is bigger than the numerator and so the quotient is an improper fraction which is a decimal.

17) 4 ÷ 9 = 0.444

Approximating to one decimal place = 0.4

18) The correct mathematical sentence with never ending decimal is;

24 ÷ 27

Read more on simplifying fractions at; https://brainly.com/question/6109670

The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?

Answers

Answer:

7 inches

Step-by-step explanation:

756÷108=7

that's about it, but I just divided the area and length.

the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms

Answers

Answer:

The terms are 2, 4, and 8

Step-by-step explanation:

a+b+c=14

a^2+b^2+c^2=84

Plug in numbers.

3+6+5=14

3^2+6^2+5^2=70

This is too little, meaning the some of the terms have to be larger.

1+7+6=14

1^2+7^2+6^2=86

This is too much, meaning smaller terms are needed.

2+8+4=14

2^2+8^2+4^2=84

This is perfect.

[tex]\sf 3x+6y=12[/tex]​

Answers

Answer:

[tex]3x + 6y = 12[/tex]

[tex]3x + 6y - 6y = 12 - 6y[/tex]

[tex]3x = 12 - 6y[/tex]

[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] \frac{3x}{3} = 1 = x[/tex]

[tex] \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] = \frac{12 - 6y}{3} [/tex]

[tex] = \frac{6(2 - y)}{3} [/tex]

[tex] \frac{6}{3} = 2[/tex]

[tex] = 2( - y + 2)[/tex]

[tex]x = 2( - y + 2)[/tex]

Answer:

x=2(3-y)

Step-by-step explanation:

3x+6y=12

x+2y=4

x=4-2y

=2(2-y)

Marisol has 5 times as many books as jerry. Jerry has 15 books. How many more books does marisol have

Answers

Answer:

5 times more books

Step-by-step explanation:

In total Marisol has 75 books.  She has 5 times as many books and Jerry has 15.  5*15=75

I NEED HELP WITH PRECALC PLEASE

Answers

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

(d)  2 +(-5) +(-12) +... (a)  a8

Step-by-step explanation:

1.

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

2.

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the quadratic formula to solve the equation.

X^2 - 7x – 6 = 0

Answers

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a=1.

b=-7

c=-6

x=

[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]

OR

[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]

Therefore x= 7,772

OR

x=-0,772

Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar​

Answers

Answer:

Q1: 3 pages per minute

Step-by-step explanation:

time = 3 minutes

pages = 9 pages

answer = 9 divided by 3 = 3

Answer:

3 pages per minute

1 hour per $5.29

Step-by-step explanation:

9÷3= 3

37÷7= 5.29

What is equivalent to 56 − 7 + ( 26 − 4 ) ÷ 2

Answers

Answer:

60

Step-by-step explanation:

56-7+22÷2

56-7+11

67-7=60

hope it helps thanks

The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm longer than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Let x be the adjacent side length in cm

opposite side is x + 2 cm

hypotenuse is x + 4 cm

x² + (x + 2)² = (x + 4)²

x² + (x² + 4x + 4) = (x² + 8x + 16)

x² - 4x - 12 = 0

(x - 6)(x + 2) = 0

so either

x - 6 = 0    x = 6

or

x + 2 = 0    x = -2

positive answer is x = 6 as negative length does not make sense

opposite side is 6 + 2 = 8

hypotenuse is 6 + 4 = 10

perimeter is 6 + 8 + 10 = 24 cm

Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6

Answers

Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side

Stuck on this, need help on this.

Answers

Answer:

Domain: (-∞ , ∞)

Range: y <= 8        [8 , -∞)

Step-by-step explanation:

x = 2

f(x) = 8

x<=2

f(x) <=8

Jason stands in the corner of a very large field. He walks, on a bearing of 030°,
a distance of d metres. Jason then changes direction and walks twice as far on a new
bearing of 120°. At the end of the walk Jason calculates both the distance he must
walk and the bearing required to return to his original position. Given that the total
distance walked is 120 metres, what answers will Jason get if he is correct?

Answers

Answer:

Step-by-step explanation:

d + 2d = 120

3d = 120

d = 40 m

east distance was 40cos30 + 80cos120 = -5.35898 m

north distance was 40sin30 + 80sin120 = 89.282032

as 30° and 120° bearings are 90° apart, Jason needs to walk

D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.

we could also use √(-5.35898² + 89.282032²) = 89.44 m

direction will be

θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°

Please help solve for a in the equation in the photo

Answers

[tex]\huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]

[tex]\huge\bf Solution:—[/tex]

[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]

[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]

[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]

[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]

[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]

[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]

[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]

[tex]\underline{\bf Answer:—}[/tex]

[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]

Answer:

[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]

Step-by-step explanation:

[tex]\sf G=a(4-d^2)[/tex]

Use the Distributive Property to multiply a by (4-d^2):

[tex]\sf G=4a-ad^2[/tex]

Now, we'll swap sides so that all variable terms are on the left hand side.

[tex]\sf 4a-ad^2=G[/tex]

Combine like terms:

[tex]\sf (4-d^2)\:a =G[/tex]

Divide both sides by 4-d^2:

[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]

Dividing by 4-d^2 undoes the multiplication by 4-d^2.

[tex]\sf a=\cfrac{G}{4-d^2}[/tex]

_______________________________________

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