Find the length of the third side. If necessary, write it in simplest radical form.

Find The Length Of The Third Side. If Necessary, Write It In Simplest Radical Form.

Answers

Answer 1

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)


Related Questions

A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?

Answers

Answer:

15 minutes

Step-by-step explanation:

60 x 50 x 40 = 120000

120000 cubic cm = 120 litres

120/8 m= 15

Ans : 15 min.

An insect crawls up 5cm every second on a 6cm vertical rod and then falls down 2cm over the next second. How many seconds will it take to climb the rod?​

Answers

Answer:

3 seconds

Step-by-step explanation:

It's quite simple. First, add 5cm to the progress of the insect, counting it as 1 second. Then subtract 2cm because it falls over the next second, thus taking another second. Then finally, plus 5cm, making it 3 seconds. It's not 4 seconds because at 3 seconds it had already reached the top.

If I didn't clear everything or messed up, please comment.

45. A crew member on a boat releases a camera 2 feet above the surface of a lake. The
camera falls 6 feet, where it is caught by a diver. How many feet below the surface of
the lake is the diver?
A. 6 feet below
B. 8 feet below
C. 4 feet below
D. 12 feet below

Answers

Answer:

C. 4 feet below

Step-by-step explanation:

A crew member on a boat releases a camera 2 feet above the surface of a lake. That is +2 feet

The camera falls 6 feet. -6

+2+(-6)

2-6

-4

Below 4 feet

Someone plz help me I’m stuck with this one T^T

Answers

Answer:

SID WILL FINISH FIRST

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{6} =[/tex]

[tex]\frac{2}{3}[/tex] * [tex]\frac{6}{1} =[/tex] = 12/3 = 4

~~~~~~~~~~~~~~~~~~~

[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{9} =[/tex]

[tex]\frac{1}{3}[/tex] * [tex]\frac{9}{1} =[/tex] = 9/3 = 3

Sausages come in packets of 4. Bread rolls come in packets of 6. Colin wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Answer:

12

Step-by-step explanation:

because it's true we need to know the full proce

p->q is false and p is true.
q is
a.true
b.false

Answers

Answer:

Choice b. [tex]q[/tex] has to be false.

Step-by-step explanation:

Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).

[tex]p[/tex] is true and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is true and [tex]q[/tex] is false: [tex]p \implies q[/tex] would be false.[tex]p[/tex] is false and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is false and [tex]q[/tex] is false: [tex]p \implies q[/tex] would also be true.

The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.

Please help me. It’s due before 7pm

Answers

Answer:

[tex]{ \boxed{6 + a = 13 }}[/tex]

Answer:

Below

Step-by-step explanation:

Let's say that x represents the mystery number

5(x + 6) = 65

5x + 30 = 65

5x = 35

Divide both sides by 5

x = 7

We can check to see if this works

6 + 7 = 13 (the sum of 6 and x)

13 x 5 = 65

Hope this helps!

Solve this system of equations with matrices. x – 5y – 4z = 15 -3x +2y + 3z = -6 4x + 8y – 2z = 3

Answers

Answer:

x = 59/10, z = 237/70, and y = -121/70

Step-by-step explanation:

Factorize: 4m^2-y^2+4m+1​

Answers

Answer:

(2m + 1 + y) (2m + 1 - y)

Step-by-step explanation:

steps are done in the above photo and i have also written the identifies

HELP ILL GIVE BRAINLIEST

Answers

Answer:

C. 4

Step-by-step explanation:

The graph seems to start at y=4, and decreases.

An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far she throw her javelin in total

Answers

Answer: 19 yards

Step-by-step explanation: 9.5x2=19

what is the sum of 1+2+.....+50?​

Answers

Answer:

sum is 1275

Step-by-step explanation:

[tex]sum = \frac{n}{2} [2a + (n - 1)d] \\ \\ sum = \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\ \\ sum = 25(51) \\ sum = 1275[/tex]

Find the value of ( 1+cosA) (1-cosA)

Answers

Answer:

sin^2 A

Step-by-step explanation:

first expand the trigonometry

1(1-cosA)+cosA(1-cosA)

=1-cosA+cosA-cos^2 A

= 1-cos^2 A

from trigonometric identity sin^2 A + cos^2 A= 1

sin^2 A= 1- cos^2 A

=sin^2 A

Aaron is going to see a movie and is taking his 2 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Aaron have to pay for his family if he were to buy 2 snacks for everybody to share? How much would Aaron have to pay if he bought x snacks for everybody to share?

Answers

Step-by-step explanation:

Count the family first

$15x3=$45$3.50x2=$7

$45+$7=$52

He will have to pay$52

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

4 is a square number and also an even number. How many other whole numbers less than 50 are an even, square number?

Answers

heres a picture bc im too lazy to write it

What is the solution set of { x | x <-5} n { x | x >5 }? Help needed!

Answers

Answer:

The Empty set............

Answer:

There is no solution for the intersection of these two sets, as they do not intersect! They don't have any numbers in common and thus form an empty set. The correct answer choice is option D. the empty set.

Step-by-step explanation:

The solution for { x | x <-5} is ---> x < -5

The solution for { x | x >5 } is ---> x > 5

If you placed the two sets on a number line close to each other, you would see that they do not intersect. Thus there is no solution for the intersection of set A and set B as defined in the given problem.

See the graph for better understanding. You see how there's an empty space or area between -5 and 5? Yeah, this is called the empty set which is option D from your answer choices.

please help me !! :)

Answers

Answer:

I believe it is D

Step-by-step explanation:

The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?

Answers

Answer:

677

Step-by-step explanation:

the sequence is 1, 2, 5, 26, 677

the first term is 1

to find the 2nd term, do: [tex]1^{2} +1=2[/tex]

3rd: [tex]2^{2} +1=4+1=5[/tex]

4th: [tex]5^{2} +1 =25 +1=26[/tex]

5th: [tex]26^{2} +1=676+1=677[/tex]

help, i'll give a brainliest

Answers

Answer:

xoooxoooooo

Step-by-step explanation:

love is the answer to everythinggg

¿para qué se realizan gráficos en un informe
estadístico?

Answers

Los gráficos simplifican los datos y muestran los hallazgos clave en forma de imágenes. Un gráfico es una representación visual de datos que puede presentar información compleja de forma rápida y clara, y ayudar al lector a ver patrones y tendencias en los datos.

1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is an even number.true
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.

Answers

Answer:

C. To square a number, multiply the number by

itself.

Step-by-step explanation:

Evaluate the expression for c = 11.
-1 - C=

Answers

Answer:

c=-12

Step-by-step explanation:

place 11 in for C > -1-11=

subtract 11 from -1. -12


Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
minutes. How long will it take Jane to do the job alone?

Answers

Answer:

see below

Step-by-step explanation:

The equation to determine the work time is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/80 + 1/30 = 1/c

Multiply by the least common denominator to clear the fractions, which is 240c

240c(1/80 + 1/30 = 1/c)

3c+8c = 240

11c = 240

Divide by 11

11c/11 =240/11

c = 240/11 minutes

c=21.81818

Approximately 22 minutes

A man shoots with a bow. There is a 70% chance that he hits with the first shot. If he hits, he gets more confidence, and then there is an 80% chance that he hits with other shots. If he misses with the first shot, his confidence drops, and then there is only a 60% chance that he hits with other shots. Per shoots 2 arrows. Find the probability that he gets 2 hits, 1 hit and no hits.

Answers

Answer:

2 hits:  56%

1 hit : 32%

0 hits: 12%

Step-by-step explanation:

2 hits: 0.7 * 0.8

1 hit : (.7*.2 + .3*.6) - .7*.8

0 hits: .3 * .4

Help help help help help help help help help help help help

Answers

Answer:

$32.07

Step-by-step explanation:

I am not sure - are we seeing the full information about this problem ?

because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...

either total cost means including tax or not including tax. but it cannot mean both ...

I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.

I will solve this now based on this assumption.

100% = $30.25

1% = 100%/100 = 30.25/100 = $0.3025

6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82

the total price is then calculated either by

100% + 6%

or by

106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07

in both cases we get the same result, of course.

Answer:

32.171

Step-by-step explanation:

how do you do this with always never one solution 3х – 12 = 4х + 3 is this true or never true​

Answers

3x - 12 = 4x + 3

3x - 4x = 3 + 12

-x = 15 / : (-1)

x = -15

Answer:

One solution

Step-by-step explanation:

3х – 12 = 4х + 3

3x - 4x = 3 + 12

-x = 15

x = -15

This is a one solution because x only equals 1 number.

Would someone plz help me out with this

Answers

Answer:

$25,500

Step-by-step explanation:

Its an increase of $1,500 each year

Please help me ? + 14% = 3990

Answers

Answer:

how is it possible this is impossible

Answer:

3990/(1.14)=3500

Step-by-step explanation:

The vertex of parabola is -3,-2, what is the equation?

Answers

Answer:

[tex] {y}^{2} = \frac{4}{3} x[/tex]

Step-by-step explanation:

Master equation:

[tex]y {}^{2} = 4 {ax}[/tex]

with point ( -3, -2 ):

[tex] {( - 2)}^{2} = 4a( - 3) \\ 4 = - 12a \\ a = - \frac{1}{3} [/tex]

Equation is:

[tex] {y}^{2} = \frac{4}{3} x[/tex]

Answer:

y = x² + 6x + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 3, - 2 ) and with a = 1 , then

y = (x - (- 3) )² - 2

  = (x + 3)² - 2 ← expand using FOIL

  = x² + 6x + 9 - 2

y = x² + 6x + 7 ← equation of parabola

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