Mathematics High School

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Find The Missing Side Of Each Triangle. Leave Your Answer In Simplest Radical Form. (Please Show Ur Work)

Answers

Answer 1

Answer: [tex]7\sqrt{2[/tex]

Step-by-step explanation:

a²+b²=c²

7²+7²=c²

49+49=c²

[tex]\sqrt{98}=\sqrt{c^2}\\\sqrt {49}\sqrt{2} =c\\ 7\sqrt{2} =c[/tex]

Answer 2

Answer:

7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

To find the missing length of a right triangle use the Pythagorean theorem. This theorem is [tex]a^2+b^2=c^2[/tex]. The variables a and b are the legs (shorter sides) and c is the hypotenuse (longest side). In this case, the hypotenuse is the missing side. So, add and square 7. This looks like [tex]7^2+7^2=x^2[/tex]. So, [tex]98=x^2[/tex]. Finally, square root 98 to get the final answer, [tex]\sqrt{98}[/tex]. This can be simplified to [tex]7\sqrt{2}[/tex].

Additionally, this is a special right triangle because the legs are of equal length. If the legs are equal then the hypotenuse with be equal to x[tex]\sqrt{2}[/tex], where x is the length of the legs. So this problem can also be solved using this method.

Related Questions

What is the volume of 7cm 4cm 2cm

Answers

Answer:

7 x 2 x 3 = 42 cm3

Step-by-step explanation:

i hope its right

stan got7

Answer: 56cm^3

To find the Volume of a shape we do…
Base * Height * Length

In this case these value will be
7cm * 4cm * 2cm = 56cm^3

The table shows the gallons of water in a pool over time.

A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.

Choose the term that describes the slope of the line of a graph representing the data in the table.

The slope of a line graphed to represent the volume of water in a pool over time would be described as
.

Answers

Answer:

6 gallons per minute

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is  

Q = a + bt ........... (1)

Now, Q(t = 0) is given to be 50 gallons.

So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).

Now, two points on the graph are (0,50) and (1,44).

So, the slope = b =  = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

The slope of the line graph representing the data would be described as "negative" or "decreasing."

We have,

The slope of a line represents the rate of change between two variables.

In this case, the variables are "Time in minutes" and "Water in Pool in gallons.

" The slope of the line graph representing this data would be described as "negative" or "decreasing."

This is because as time increases (going from 0 to 5 minutes), the amount of water in the pool is decreasing (going from 50 gallons to 20 gallons).

When the slope of a line is negative, it indicates a decreasing trend or a decrease in the value of one variable as the other variable increases.

Thus,

The slope of the line graph representing the data would be described as "negative" or "decreasing."

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ3

I NEED HELP WITH GEOMETRY

Answers

the first triangle x = 44in

the second triangle x=17

7. What is the radius of a circle whose area is 154 square centimeters?​

Answers

Answer:

7.001 cm

Step-by-step explanation:

A = pi r^2

154 = pi r^2

r^2 = 154/pi

r = sqrt(154/pi)

r = 7.001

Answer is 7.001. (Radius)

Hallooo can someone help pls?

Answers

Answer:

x-axis: (18,0)

y-axis: (0,12)

quadrant 1: (4.5, 10.6)

quadrant 2: (-15, 21)

quadrant 3: (–3/4, –4 1/9)

quadrant 4: (3, –7)

help please anyone if you know it help please

Answers

She needs to work 89 hours to have 1600

Work out the Volume of this prism

Answers

Answer:

119cm³

Step-by-step explanation:

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

Answers

Answer 45^(1/2)

Step-by-step explanation:

Use the pythagorean theorem to calculate the distance of the hypotenuse formed by the two siz=des that can be calculated from the given 2 points.  X is 3: (-2 -(-5)) = 3

y is 6: (9-3) = 6

We want the hypotenuse:  z^2 = x^2  + y^2

z^2 = 9 + 36

z = [tex]\sqrt45}[/tex]

It asks for the exact answer, so 45^(1/2) sems to be the only way to express this.

Please help , asap please

Answers

Answer: 14

Step-by-step explanation:

3+12 = 15. If the third side is 15, this would be two straight lines that overlap. The third side must be smaller that the sum of the other 2. The largest whole number would be 14.



Solve for X
help plzzz i’ll give u brainliest

Answers

I think the two angles are on a straight line. Angles on a straight line add up to 180 degrees therefore forming the equation:

4x + 44 = 180
From there you can solve it like so:
4x=136
x=34

Therefore X is 34 degrees

If there's 1 adult for every 6 kids how many adults would there be if there 66 kids?

Answers

Answer:

11 kids

Step-by-step explanation:

Answer: There would be 11 adults

Step-by-step explanation: if there are 66 kids and 1 parent for every 6 kids that would mean that you would have to divide 66 by 6 and 66 divided by 6 is 11

66 % 6 = 11

  (the % sign is the closest sign on my keyboard to a division symble)

Find the area of the shaded region.

Answers

Answer:

I think it's 2 or something more yo.

Step-by-step explanation: And to be honest I'm estimating so yeah.

Going to need help with a bit more of these.. thanks brainly :)

Answers

Answer: -6

Step-by-step explanation:

ok so basically rate of change = slope or m

so take two set of points from the table and do the slope equation which is y2- y1 over x2 - x1 (i can't really do equations in brainly bc i'm new so sorry but u can search up the equation)

so in this case, let's do the points (3, -15) & (4, -21)

now let's plug those values into the equation

so - 21 + 15 = -6 and 4 - 3 = 1

now u would simplify or divide so -6 divided by 1 = -6 so that's it! hope this helps!

Use the diagram shown to answer the question. What are the sine and cosine values of a 60° angle?

Answers

Answer:

The answer would be A.

Step-by-step explanation:

What is a common mistake for finding slope from 2 points

Answers

Answer:

A common mistake is doing x2-x1/y2-y1 instead of the correct slope formula which is y2-y1/x2-x1

Step-by-step explanation:

If Steve can’t decide what bank to take a loan from, what banking service would make a bank a better option than the others?

0% financing
online banking
fee-free checking
overdraft protection

Answers

Answer:

Fee-free banking

Step-by-step explanation:

Answer:

fee free checking

Step-by-step explanation:

Helppp me plssss hshshshgsgsggsgagagsgsggsgshsjsa

Answers

Answer:

A and B

Step-by-step explanation:

2m-3<-9

2m<6

m<-3

Justify each step of this inequality by stating the property that was used to get to each step.
Given: -4(k+5)<15-11k + 3k Property used:
Step 1: -4(k+5)<15-11k+3k Step 1:
Step 2: -4k(k+5)<15-8k Step 2:
Step 3: 4k - 20 <15 Step 3:
Step 4: 4k<35 Step 4:
Step 5: k<8.75 Step 5:

Answers

Answer:

Step-by-step explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4

Shahruk plays four games of golf. His four scores have a mean of 75, a mode of 78 and a median of 77. Work out his four scores.​

Answers

Answer:

the four scores are 68, 76, 78, and 78.

Step-by-step explanation:

The mean of the four scores is 75.

So, the sum of all the four scores is equal to the product of mean and number of scores. Therefore,

Sum of scores , 'S' = Mean  Number of scores.

Now, let one of the middle scores be 'x'.

Since the number of scores is even, the median is half of the sum of the two middle terms.

Median is given as 77 and mode is 78.

So, median is given as:

As 76 is smaller than 78.

So, the 2nd score is 76 and third score is 78.

Since mode is 78, it has to be repeated more than once. So, the fourth score will also be 78.

Now, let the first score be 'y'. Therefore, the sum is given as:

Therefore, the four scores are 68, 76, 78, and 78.

I'm doing Sequences I'm looking for Constant rate of change, equation and term

Answers

Do what you think is good first and try ti bring it all together!  :)

If you simplify 4.5 − x − 3.6 + 2x, your answer will be __________.

Answers

Answer:

x + 0.9

Step-by-step explanation:

sorry if I'm wrong

Answer:

Step-by-step explanation:

4.5 − x − 3.6 + 2x, group like terms

2x -x +4.5 -3.6 , combine like terms

x + 0.9

Helpp mmeee pleaseeeee !!
.

Answers

Answer:

the answer is 6

Step-by-step explanation:

REPOST*
Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6

Answers

Answer:

C

Step-by-step explanation:

-6 is more to the left of the number line than -3

Which of the following is equivalent to...

Answers

Answer:

D

Step-by-step explanation:

y = 2x + 5

Solve the product 2(x+4)

y+3=2x+8

2 We need to isolate the dependent variable y, we can do that by subtracting 33 from both sides of the equation

y=5+2x

I hope this helps ?

WHAT Pattern WOULD YOU expect when two variables are related BY
a Linear modeL WITH A POSITIVE SLope?

Answers

Answer:

an ascending straight line graph is linear and has a positive slope when y is more than x or the same, when y appears less than x in slope it becomes less steeper but when all slopes are positive so are x and y relationship.

Step-by-step explanation:

You can also have a positive slope ascending straight line to a constant straight line, this becomes a change simply as and when the velocity changes.

Since the velocity vs time graph is a straight line, the secant line will always coincide with it. So, the slope of the secant line is always equal to the slope of the graph, meaning that the average acceleration is always equal to the constant acceleration. Velocity vs time graph consisting of an ascending line.

Convert 35cm/sec= M/min

Step by step

Answers

Answer:

2.9

Step-by-step explanation:

I need help with this question please

Answers

Answer:

no understand I live in myanmar .I donot know mathamatic

Can someone tell me the answer and explain it please

Answers

Answer:

x^2 - y^2

Step-by-step explanation:

In the following problem, we can use the distributive property to simplify:

(x + y)(x - y)

We can start by multiplying the x's together, giving us x^2.

Next is the first x multiplied by -y in the second parenthesis. This gives us -xy.

Now, we can move on the the y in the first parenthesis: y times x(in the second parenthesis) is xy.

Lastly, we have y times -y which gives us -y^2.

(This process is shown in the image attached)

If we aa these together we get:

x^2 - xy + xy - y^2

If we add -xy and xy it would be 0 because if you add a number with it's opposite, they cancel out. We are just left with x^2 - y^2.

1/5 oz = how many lb

Answers

Answer:

0.03125

Step-by-step explanation:

formula:

divide the mass value by 16

Answer:

1 pound

Step-by-step explanation:

Write a linear function f with f (5) = 7 and f (-2) = 0

Answers

Answer:     y  =  x + 2

Step-by-step explanation:

Determine points

We can use  f (5) = 7 and f (-2) = 0 to write two points.

(5 , 7)  &  (-2 , 0)

Find Slope

Slope  = (y₂ - y₁) ÷ (x₂ - x₁)

           = (7 - 0) ÷ (5 - (-2))

           = 1

       

Write the equation

equation in point-slope form (y - y₁) = m (x - x₁)

                                                (y - 0) =  1 (x - (-2))

                                                      y  =  x + 2

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