If the lengths of the legs of a right triangle are 3 and √10, what is the length of the hypotenuse?

Answers

Answer 1

Answer:

[tex]\sqrt{19}[/tex]

Step-by-step explanation:

We can use the pythagoren theorm (A^2 + B^2 = C^2) for right triangles, C being the hypotenuse.

3^2 + 10 = C^2

19 = C^2

C = [tex]\sqrt{19}[/tex]

Answer 2

The required length of the hypotenuse of triangle is √19.

Legs of right angle triangle is √10 and 3. Hypotenuse to be determine.

What are the legs in triangle?

Legs in right triangle refers to the perpendicular and base.

Hypotenuse = [tex]\sqrt{perpendicular^2+base^2}[/tex]
                   = [tex]\sqrt{3^2+\sqrt{10}^2 }[/tex]
                   = [tex]\sqrt{19}[/tex]

Thus, the required length of the hypotenuse of triangle is √19.

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Related Questions

reduce 63/72 to its lowest terms

Answers

Answer:

7/8

Step-by-step explanation:

63 ÷ 9/72 ÷ 9

= 7/8

Answer:

7/8

Step-by-step explanation:

63/9 = 7

72/9 = 8

then:

63/72 = 7/8

This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes could I have in the bag, if I know I have over 10 lollies total?

Answers

Answer:

40.

Step-by-step explanation:

Let J represent jelly snake.

Let L represent lollipops

Let S represent sample space

Let y represent the number of jelly snake in the bag. I.e

Number of J = y

Number of L = 10

Number of S = 10 + y

From the question given, we were told that the probability of jelly snake P(J) is 4/5.

But probability of jelly snake, P(J) is given by:

P(J) = nJ/nS

nJ = y

nS = 10 + y

P(J) = 4/5

Thu, we can obtain the number jelly snake, y, in the bag as follow:

P(J) = nJ/nS

4/5 = y/(10 + y)

Cross multiply

5y = 4(10 + y)

Clear bracket

5y = 40 + 4y

Collect like terms

5y – 4y = 40

y = 40

Therefore, the number of jelly snake in the bag is 40

Will Give Brainliest, answer ASAP x=
y=
z=

Answers

Opposite angles are identical.

11y = 55

Y = 55/11

Y = 5

3z-4 = 110

Add 4 to both sides

3z= 114

Z = 114/3

Z = 38

180 -110 = 70

55 + x = 70

X = 70-55

X =15

X = 15, y = 5, z = 38

Answer:x=15, y=5, z=38

Step-by-step explanation: you know that opposite angles are the same. y=5

add 4 to both sides. and you get the value for x y z.

A right cylinder has a radius of 2 units and a height of 5 units.

A right cylinder has a radius of 2 units and a height of 5 units.

What is the volume of the cylinder? Round to the nearest tenth.

31.4 cubic units.
62.8 cubic units
157.1 cubic units
314.2 cubic units.

Answers

Answer:

62.8 cubic units

Step-by-step explanation:

Because, The formula of volume of cylinder is Volume = square of radius multiply by its height

The volume of the cylinder round to the nearest tenth is 62.8 cubic inches

How to calculate the volume of a cylinder?

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

where

r is the radius of the cylinder

h is the height of the cylinder

Given

radius = 2 units

height = 5 units

Substitute

V = (3.14)* 2² * 5
V = 3.14 * 20
V = 62.8 cubic inches

Hence the volume of the cylinder round to the nearest tenth is 62.8 cubic inches

Learn more on volume of cylinder here: https://brainly.com/question/9554871

Based on the cladogram, which characteristics are common to amphibians, lemurs, and humans? vertebrae, tetrapod, hair amniotic egg, hair, biped tetrapod, vertebrae tetrapod, hair

Answers

Answer:

C.      did the assignment

Step-by-step explanation:

edge 2021

Answer:

C. Tetrapod, vertebrae

Step-by-step explanation:

Five less than the product of a number and 6

A. 5-6n
B. 6(n-5)
C. 6n-5
D. 6(5-n)

Answers

Answer:

C. 6n - 5

Step-by-step explanation:

Hello!

A product of a number and 6 means we have to multiply a number by 6.

This can be shown by 6n.

Then 5 less means we subtract by 5.

We get the answer: 6n - 5

Hope this Helps!

Answer:

B) 6(n-5)

Step-by-step explanation:

Mark as Brainliest

23^3 (-12)^3 +(-11)^3 without actually calculating cubes

Answers

Answer:

9108

Step-by-step explanation:

23^3+(-12)^3+(-11)^3                              remove parentheses

= 23^3-12^3-11^3                                  group difference of two cubes

= (23-12)(23^2+23*12+12^2) + 11^3      factor difference of two cubes

= 11 (23^2+23*12+12^2-11^2)                factor ou 11

= 11(23(23+12) + (12+11)(12-11))              apply difference of two squares

= 11 (23*35+23*1)                                  factor out 23

= 11(23*(35+1))                                       simplify

= 11*23*36                                             convert 11*23 into difference of 2 squares                                                                    

= (17^2-6^2)*6^2                                   expand parentheses

= 102^2-36^2                                       evaluate squares

= 10404 - 1296                                     subtraction

= 9108

(no calculator required)

How many hours are there in ten quarters of an hour?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours  so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half

A tank contains 15,000 L of brine with 24 kg of dissolved salt. Pure water enters the tank at a rate of 150 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate.How much salt is in the tank after t minutes

Answers

Answer:

Step-by-step explanation:

Let y(t) be the amount of salt in the tank after time t.

(A) Incoming rate = 0 (due to Pure water having no salt)

(B) Mixed solution comes out at 150 L/min. Initially the tank has 15,000 L of brine with 24 kg of salt.

concentration of salt at time t  = y(t) / 15000 kg/L

Outgoing rate = y(t)/15000 * 150 = y(t) / 100

(C) we know that,

[tex]\frac{dy}{dx} =(incoming\ rate) - (outgoing\ rate)[/tex]

[tex]\frac{dy}{dx} =0-\frac{y(t)}{100} = \frac{-y(t)}{100}[/tex]

Separate variable and integrate

[tex]\int {\frac{dy}{y} } = - \int {\frac{1}{100} } \, dt[/tex]

[tex]ln|y|=-\frac{1}{100}t + D[/tex]

[tex]y=e^{D} e^{\frac{-t}{100} }[/tex]

[tex]y= Ce^{\frac{-t}{100} }\ [C=e^{D} ][/tex]

At t= 0 , y(0) = 24 kg

[tex]24=C\ e^{0}[/tex]

C= 24

(D) Therefore, the amount of salt in the tank after time t :

[tex]y(t)=24e^{\frac{-t}{100} }\ kg[/tex]

Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8

Answers

Answer: 48

Step-by-step explanation:

Given, A box has a white, a green, a blue, and an orange marble.

Total possible outcomes of pulling marbles = 4

There is also a fair 12-sided die labeled with the numbers 1 through 12.

Total possible outcomes of rolling the die = 12

By Fundamental counting principle , we have

Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)

= 4 x 12

= 48

Hence, the correct answer is "48".

Please answer this question now

Answers

Answer:

373.66 cm².

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Radius (r) = 7 cm

Slant height (l) = 10 cm

Surface Area (SA) =?

The surface area of the cone can be obtained by using the following formula:

SA = πr² + πrl

SA = (3.14 × 7²) + (3.14 × 7 × 10)

SA = (3.14 × 49) + 219.8

SA = 153.86 + 219.8

SA = 373.66 cm²

Therefore, the surface area of the cone is 373.66 cm².

A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p ​

Answers

Answer:

84%

Step-by-step explanation:

percentage of score in English=18/25*100

=72%.

72+p/2=78

72+p=156

p=84%

Mark me BRAINLIEST if helped

Tysm!

solve for x and y plz 12x - 5y = -20 x + 4 = y

Answers

Answer:

(0,4)

Step-by-step explanation:

System of Equations:

[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]

x= y-4 .... Change format so you can substitute to first equation

12(y-4)-5y=-20 .... Plug in x= y-4  to first equation

12y - 48 -5y = -20 ..... Distributed

7y -48 =-20 .... Added like terms

7y=28 .... Added 48 to both sides

y=4

.... Plug y into the second equation to find x

x + 4=y

x +4 = 4 .... Plugged in y

x = 4-4 .... Subtracted 4 from both sides

x=0

Your answer is (0,4)

Hope this helps:)

Probability ~
The probability of selecting a white chocolate from a box is 1/5 and the probability of selecting a dark chocolate from the same box is 1/3. The other chocolates are milk chocolates.
A. Find the probability of selecting a milk chocolate.
B. How many chocolates in total could be in the box? Give reasons. Is there more than one answer?

Answers

A.

A - selecting a milk chocolate

[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]

B.

The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer: Choice A) 148 degrees

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

Explanation:

Let point A be the center of the circle.

Arc DCF is 316 degrees. Arc FG is 20 degrees. Subtracting the arc measures gives 316-20 = 296 which is the measure of arc DCG, and by extension, it is the measure of reflex angle DAG. The acute angle DAG is 360-296 = 64 degrees

Triangle DAG is isosceles with AD = AG, so the base angles are ADG and AGD. Let's call each of these angles x for now. The sum of the three angles add to 180

x+x+64 = 180

2x+64 = 180

2x = 180-64

2x = 116

x = 116/2

x = 58

Therefore angle ADG is 58 degrees. It adds to angle ADB = 90 to get 90+58 = 148, which is the measure of angle BDG.

Note: angle ADB is 90 because tangent BD forms a right angle with the radius AD.

Another note: angle ADG is half that of the arc it cuts off, so in a sense it's similar to an inscribed angle

what means by this*​

Answers

Answer:

star or asterisk if you are talking about (*)

Answer:

(*) is similar to (×)

and it means multiply

Which graph shows a linear function?

Answers

Answer:

the bottom

Step-by-step explanation:

Answer: the second one

Step-by-step explanation:

Rule: Multiply x by 0. Then add 7 to the result to get y

Answers

Answer:

Let's simplify step-by-step.

x(0)+7

=0+7

Combine Like Terms:

=0+7

=(0+7)

=7

Step-by-step explanation:

Answer:

y = 7

Step-by-step explanation:

x · 0 = 0

0 + 7 = 7

y = 7

When dividing exponents with the same base, what operation do we use
with the exponents? (the quotient rule)

Answers

Answer:

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.

Step-by-step explanation:

Hope it helps please mark me as the brainliest

A pharmaceutical salesperson receives a monthly salary of $4700 plus a commission of 2% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.

Answers

Answer:

[tex]W= 4700+0.02S[/tex]

Step-by-step explanation:

Given that

W is the monthly wage

S is the monthly sales

According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)

 

Also plus 2%  commission of sales made for the month added to the wage

we can model his/her wage as follows

[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]

Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]

-19+[27-{14+(5-2)×4÷2​

Answers

EXAMPLE QUESTION+ANSWER;-

16 - [5 - 2 { 14  of  2 - (8/4 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (2 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (4 - 1 + 3 } ]  

= 16 - [5 - 2 { 14  of  2 - (3 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - 6} ]

= 16 - [5 - 2 { 28  - 6} ]

= 16 - [5 - 2 {22} ]

= 16 - [5 - 44]

= 16 + 30

= 55

Answer: 55

Need help how to find this slope

Answers

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 1)

m = [tex]\frac{1-2}{3-0}[/tex] = - [tex]\frac{1}{3}[/tex]

NEEDDD HELPPPP ASAPPPPPPPPPP !!

Answers

Answer:

42 = 8x + 13x

42 = 21x

x = 2

8 = 8c -4(c + 8)

8 = 8c - 4c - 32

8 = 4c - 32

40 = 4c

c = 10

Answer:

42 = 8x + 13x

42 = 21x

42/21 = x

x = 2

check:

42 = 8*2 + 13*2

42 = 16 + 26

8 = 8c - 4(c+8)

8 = 8c -4*c -4*8

8 = 8c - 4c - 32

8 + 32 = 4c

40 = 4c

40/4 = c

c = 10

Check:

8 = 8*10 - 4(10+8)

8 = 80 - 4*18

8 = 80 - 72

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Answers

Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)

Answers

Answer:

Step-by-step explanation:

(-8+2)/(9-4)= -6/5

y + 2 = -6/5(x - 4)

y + 10/5 = -6/5x + 24/5

y = -6/5x + 14/5

Which expression is equivalent to the product of p+7/3 and6/p , where p0? PLZZZZ HELPPPPPPP

Answers

Answer: [tex]6+\dfrac{14}{p}[/tex] .

Step-by-step explanation:

To find : The expression is equivalent to the product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex], where p ≠0.

Product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex] = [tex](p+\dfrac73)\times\dfrac6p[/tex]

Using distributive property:  [tex](b+c)a= ba+ca[/tex]

[tex](p+\dfrac73)\times\dfrac6p=p\times\dfrac6p+\dfrac73\times\dfrac6p\\\\= 6+\dfrac{7}{1}\times\dfrac2p\\\\=6+\dfrac{14}{p}[/tex]

Hence, the required expression is [tex]6+\dfrac{14}{p}[/tex] .

Answer:

B!!!

Step-by-step explanation:

Multiply then divide every number by 2 to simplify.

The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.

Answers

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

I need help on this question!!!

Answers

Answer:

The answer is 17.

Step-by-step explanation:

200/3 is approximately 67, and divided by 4 again to represent the second checkpoint will become 16.75. Obviously there can't be a fraction of a bag, so the answer is 17.

Answer:

16

Step-by-step explanation:

the lcm for 3 and 4 is 12

200 ÷ 12 = 16.667

≈16

The diagram below is divided into equal parts. Which ratio correctly compares the number of shaded sections to the total number of sections? A diagram is divided into 4 shaded parts and 4 white parts. One-half 4 to 4 2:1 StartFraction 8 Over 4 EndFraction

Answers

Answer: 1/2 is correct.

Step-by-step explanation:

There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.

Hope this helps!

Answer:

The answer is A

Step-by-step explanation:

because there are 4 shaded parts and 8 parts in total.

4/8=1/2

It's A

In the Diagram, DEC is a ____ of ABC across line k.

rotation
glide reflection
reflection
translation

Answers

Answer:

Reflection

Step-by-step explanation:

A reflection is a mirrored image of a shape.  Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.

Cheers.

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