Find the missing side of the triangle. Side LaTeX: cc is the hypotenuse and sides LaTeX: aa and LaTeX: bb are legs. Leave your answer in simplest radical form. LaTeX: a=2,\:b=4

Answers

Answer 1

Answer:

[tex]c = 2\sqrt{5[/tex]

Step-by-step explanation:

Given

[tex]a = 2[/tex]

[tex]b = 4[/tex]

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

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

Substitute values for a and b

[tex]c^2 = 2^2 + 4^2[/tex]

[tex]c^2 = 4 + 16[/tex]

[tex]c^2 = 20[/tex]

Take square roots of both sides:

[tex]c = \sqrt{20[/tex]

Express 20 as 4 * 5

[tex]c = \sqrt{4 * 5[/tex]

Split surd

[tex]c = \sqrt{4} * \sqrt{5[/tex]

Take square root of 4

[tex]c = 2 * \sqrt{5[/tex]

[tex]c = 2\sqrt{5[/tex]


Related Questions

Bunny works as a furniture salesperson and earns a base salary of $400 per week plus 5.5%n commission on sales. What was bunny's weekly gross salary if her total sales was $3300

Answers

Answer:

4x67€hus de tus nos cos

please help!! question in picture

Answers

The answer it 1009999009

Ken gets injured and has to slow the pace he walks. The equation for his new plan is y = -200x +2400 where y is the number of calories left to burn and x is the hours Ken walks. When will ken have 600 calories left to burn.​

Answers

Answer:

x=9

Step-by-step explanation:

600=-200x + 2400

-2400

-200x = -1800

x = 9

3. If you look at the number of soldiers that died during the battle, which was
approximately 612 using the graph above, and the fact that the battle lasted only 15
minutes, how many people died per minute?

Answers

Answer:

Approximately 10 died every minute with a remainder of 12

Step-by-step explanation:

I divided 60 seconds by 612 because 60 seconds is one minute and i got 10 remainder 12

Help please i dont get thiss

Answers

Answer:

4/6

Step-by-step explanation:

just keep in multiplying the fraction upp and down

Answer:
4/6
Explanation:
You can multiple the numerator and denominator by the same factor. In this case you can multiply 2/3 by 2 and get 4/6.

Dec 18, 11:45:23 AM
Angle A and Angle Bare complementary angles. If m angle A = (4x – 28)° and m
Angle B= (x - 2)°, then find the measure of angle A.
Submit Answer
Answer:

Answers

Answer: 68*

Step-by-step explanation: In pic


A linear sequence starts
250 246 242
Which term is the first to have a negative value?

Answers

Step-by-step explanation:

250 - 246 = 4

246 - 242 = 4

Since 250 is 2(mod 4), the negative value term is -2.

please help!! I NEED IT VERY BADLY

Answers

Answer:

3/4

Step-by-step explanation:

tan A =opposite/adjacent = 6/8 =3/4

Hope this helps

Have a good day

A new cell phone costs $625. Its sale price is $500. What's the percent of decrease?

Answers

20% :) djdjdndjdjdjdhdjfjfhd

Answer:

20 percent

Step-by-step explanation:

I need points!!!

500/625 = the percent of original

100 - percent of original = answer

Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.

Answers

Answer:

He can fill up his fill up his measuring cup 8 times that is pretty simple

Step-by-step example

4 cups is in one gallon

I need help with my homework this is hard pls help thx!
z=m-x solve for x

Answers

Answer:

x = m - z

Step-by-step explanation:

z = m - x       add x to both sides

z + x = m - x + x

z + x = m            subtract z from both sides

z - z + x = m - z

x = m - z

Answer:

-z + m = x

Step-by-step explanation:

z = m-x

subtract the m from both sides

z-m = -x

you can't have a negative x so multiply everything by -1

-1(z-m = -x)

-z + m = x

Luis uses 1.6 liters of gasoline each hour he spends mowing lawns. How much gas does he use in 5.8 hours?


can someone please help me? I'm really not a fan of the subject math, and I'm currently struggling and my math grade isn't good at the moment AND grade book closes next week friday :(

Answers

Answer:

9.28 liters

Step-by-step explanation:

The unit rate is 1.6 liters per hour.

You multiply it by the number of hours

1.6 x 5.8 = 9.28

Answer:

9.28.

Step-by-step explanation:

We're trying to find out how much gas Luis uses in 5.8 hours. It states that Luis uses 1.6 liters of gasoline EACH HOUR. So, we just multiply 1.6 and 5.8.

please help i will give Brainliest
7.4 = -t/8.5
t = ?

Answers

Answer:

-62.9

Step-by-step explanation:

7.4= [tex]\frac{-t}{8.5}[/tex]

8.5 (7.4)=-t

62.9=-t

t=-62.9

How can you multiply positive and negative fractions?

Answers

Step-by-step explanation:

When you multiply a fraction by another fraction or a fraction by a whole number, the rules of fractions dictate the form of the answer. If at least one of the values is negative, you also use the rules for positive and negative signs to determine if the result is positive or negative.

Point A is located at the coordinates (-2, 4). Are the x- and y-coordinates
positive or negative?

Answers

Answer: positive

Step-by-step explanation: because the bigger number is always going to be the answer

write the equation of the horizontal line that goes through (-5,7)

Answers

Answer:

The equation would be y=7

Jodi bought a new sofa for $1,430, including finance charge. She made down payment of $130 and paid off the balance in 18 months at $80 per month. Find the amount of the finance charge.

Answers

The finance Charge would be $140. you would multiply 18 by 80 and then add the 130 and take that number and subtract the 1,430

Please help on these

Answers

Answer:

x should be 11

Step-by-step explanation:

What we know:

The angles shown are 13x + 12, and 2x + 3

The two angles are complementary, which means they equal 180 degrees.

(13x + 12) + (2x + 3) = 180

15x + 15 = 180

15x = 180 - 15

15x = 165

x = 11

Help MEE!! what is the answer please

Answers

Answer:

v=12500-2500h

Step-by-step explanation:

Ok so to create this equation all you need to do is look at what information is given. You start with 12500 gallons of water so we know our equation is going to have 12500 in it.

So far our equation would look like this v=12500

The next information we are given is that it is decreasing by 2500 every hour so we know that we are going to be subtracting 2500 based on how many hours have went by so our equation would then look like this.

v=12500-2500h

we can check this by plugging in some numbers to see if it works. So at Zero hours we should still be at 12500

v=12500-2500(0)

v=12500

Ok so we know that it works for zero, but we should check at least one more number. We know that after 3 hours we would of lost 7500 gallons of water so it should equal 12500-7500=5000 gallons. Lets check this in our equation

v=12500-2500(3)

v=12500-7500

v=5000 Gallons

SOMEONE HELP!!!! Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett’s position with respect to the water level?
–54 feet
–30 feet
–18 feet
–10 feet

Answers

Answer:

-18 feet

Step-by-step explanation:

18-32-4

18-36= -18

Answer:

–18 feet

Step-by-step explanation:

Given: Garrett begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base.

A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)

A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs

B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs

C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs

D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs

Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs​

Answers

x and y are the packs of organic and inorganic fertilizer, respectively.

pounds of nitrogen added = 2x + 6y = 120

pounds of potassium added = 3x + 2y = 54

eliminate the y terms. subtract the first equation from 3 times the second equation.

9x + 6y = 162

-2x - 6y = -120

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

7x = 42

x = 6

y = 18

Which of these processes are chemical reactions? Select ALL correct answers

boiling an egg

crushing spices

vegetables rotting

chopping vegetables

dew forming

Answers

Answer:

boiling en egg

veg rotting

dew forming

Step-by-step explanation:

just remember

rotting is ALWAYS a chem reaction

Answer:

boiling an egg and vegetables rotting

It took the Hendersons 6 1/4 hours to
travel 325 miles.
At this rate, how many miles could they
travel in one hour?

Answers

Answer:

52 miles

Step-by-step explanation:

They drive 325 miles in 6 1/4 hours. Convert 6 1/4 to 6.25 and divide. 325/6.25= 52 mph

Select the locations on the number line to plot the points 9/2 and −7/2.

Answers

Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.

Step-by-step explanation:

hope it helps

What is the slope of this line?
Points on this line include (1,3) (2,6) and (3,9). Number only. Just write the slope in simplest form.

Answers

the slope of this line i’m pretty sure is 2,6 of it is wrong i aplogize but this is the most reasonable answer thanks you for your time and i hope you get the answer right

find the slope of the line that would be parallel to the given original line 3x+y=10

Answers

The answer is 3. If the lines are parallel then they would have the same slope. :)

Find the value of x (Round to the nearest tenth) **Hint: Find the length
of the dotted line first***

Helppp!!!!!!!

Answers

Answer:

Length equal 12

Step-by-step explanation:

16^2+b^2=20^2

256+b^2=400 (subtract 256 on both sides)

b^2=144 (square root)

b=12


What algebraic expression will I put for the drawing above?

Answers

as in your model 4,4,4,1, think on those around them or ask for help

Graph the line with the equation y=-1/2x+1

Answers

Step-by-step explanation:

it depends how far you want to take the equation

I’ll mark you brainlist help

Answers

This is the answer

y = -4x - 2

Work: The line crosses the y-axis at -2 making this the y-intercept. To find the slope, you need to take two points from the graph (you already have (0,-2) from the intercept) and put them in the equation:

y(sub 2) - y(sub 1) all over x (sub 2) over x (sub 1). Sub 1 and two just means the order of the points. so if you took the points (-1,2) and (0,-2), the equation would look like:

(-2-2)/(0-(-1)). This gives you -4/1 which is equal to -4. So now you have your y intercept (-2) and your slope (-4) so you put it into slope - intercept form:

y=mx + b where m is slope and b is y-intercept

Answer:

The answer to your question is -4x -2

Step-by-step explanation:

Hope I helped have a wonderful day! Plz dollow me! ;) Happy Holidays!!! Bye!/

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