Find the value of z and
simplify completely.

Find The Value Of Z Andsimplify Completely.

Answers

Answer 1

Answer:

z = 6√2 = 8.49

Step-by-step explanation:

In this question, we are to find the value of the length z.

Mathematically, using Pythagoras’s theorem we can do this.

The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.

Kindly note that the hypotenuse is the side that faces the angle 90

These are the points needed to solve for z

Using Pythagoras,

z^2 = y^2 + 4^2

z^2 = y^2 + 16 •••••••(i)

x^2 + z^2 = 20^2

x^2 + z^2 = 400 •••••••••(ii)

z^2 + 16^2 = x^2. ••••••••(iii)

Substitute iii into ii

z^2 + 16^2 + z^2 = 400

2z^2 + 256 = 400

2z^2 = 400-256

2z^2 = 144

z^2 = 72

z = √(72)

z = 6√2

Answer 2

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:


Related Questions



True or False: Perpendicular lines sometimes meet at angles that are not 90°.True or False: Perpendicular lines sometimes meet at angles that are not 90°.

Answers

Answer:

false

Step-by-step explanation:

that is  the definition of a perpendicular line  

Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!

Answers

Answer:

137

Step-by-step explanation:

The degrees of the inscribed arc of 43 is 43 * 2 = 86

Since the total degrees in a circle is 360, x is equal to

(360-86)/2 = 137

Answer:

x = 137

Step-by-step explanation:

opposite angles are supplementary when they are in a quadrilateral inscribed in a circle

43+x = 180

Subtract 43 from each side

x =180-43

x=137

You are graphing square ABCD in the coordinate plane. The following three of the vertices of the square: A(4,-7), B(8,-7), and C(8,-3.

Answers

If those are your 3 vertices for the square, the last one would be at (4, -3).

the area that lies between Z= - 0.42 and Z= 0.42 is

Answers

Answer:

the answer is 0.84

Step-by-step explanation:

assume the two numbers are on a number line and take the absolute value of their difference

The answer is 0.84 assume that the two numbers are on a number line

What is the reference angle for a 240° angle? 30° 60° 180° 270°

Answers

Answer:

60°

Step-by-step explanation:

240° is between the two numbers 180°and 270°, So you're going to want to subtract 180 from 240 Thus, your answer will be 60!

hope you found this helpful :)

The reference angle is 60°. Option B

How to determine the angle

Since 240° is in the third quadrant

Formula for reference angle in the third quadrant

Reference angle = ∝ - 180°

Reference = 240 - 180

Reference angle = 60°

Thus, the reference angle is 60°. Option B

Learn more about reference angle here:

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PLEASE HELP ME I WILL GIVE BRAINLIEST

A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Answers

Answer:

there are fourteen 4-point questions and twenty six 2-point questions.

Step-by-step explanation:

Given : A 40-question test has 108 possible points.

There are m 4-point questions and n 2-point questions.

So , equation for total number of questions in the test :

m + n = 40 | 4n + 2n = 108

Multiplying (i) by 2 , we get

2m + 2n = 80

Subtract (iii) from (ii) , we get

2m = 28

⇒ m = 28/ 2 = 14

Using value of m in (i) , we get

14 + n = 40 ⇒ n = 26

from this we get there are fourteen  4-point questions and twenty six 2-point questions.

hope this helped!

Which part of a cake remains if x/y has been eaten?

Answers

Is there anything else with the question? Need more detail to solve it
If the cake is cut into y pieces, and x pieces are eaten, then y-x pieces are left. As a fraction you would say (y-x)/y remains.

Miquel babysits for 3 hours and eams $15. Which represents the unit rate?
0 $1 per 5 hours
O $15 per hour
0 1 hour per $5
o 55 per hour​

Answers

Answer:

$5 per hour.

Step-by-step explanation:

$15 per 3 hours.

[tex]15/3=5[/tex]

[tex]3/3=1[/tex]

$5 per 1 hour.

Solve the inequality.

Answers

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
-5
-2
Ο Ο Ο Ο
2
5

Answers

Answer:

At x = -2 the graph of this polynomial will touch the x-axis.

Step-by-step explanation:

Recall the behavior difference between power functions of even and odd power. Odd powers are associated with the crossing of the x-axis, while even powers are associated with "touching" of the x axis.

in this cases, since they give you the function in factor form, the actual roots (x-values where the function adopts value zero) of the function are evident :

[tex]f(x)=(x-5)^3\, (x+2)^2[/tex]

It has a root at x = 5 [notice that at such x-value the factor (x-5) becomes zero], and this root is of multiplicity "3" (given by the power associated with the binomial factor for this root)

and has another root at x = -2  [notice that at such x-value the factor (x+2) becomes zero], and this root is of multiplicity "2" (given by the power associated with the binomial factor for it)

It is just the second root analyzed the one that shows an even power (2) associated to its binomial factor, and therefore it is at x= -2 that the graph of this function will show as "touching" the x axis.

What is the function of f(x)

Answers

Answer:

f(x) = 5/2x+7

Step-by-step explanation:

The y intercept is 7

We have 2 points (0,7)  (2,12)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (12-7)/(2-0)

   = 5/2

We can use slope intercept form

y = mx+b

y = 5/2x+7

f(x) = 5/2x+7

The point-slope from of a line that has a slope of -2 and passes through the point (5,-2)

Answers

Step-by-step explanation:

y + 2. = -2(x - 5)

y + 2 = -2x + 10.

y = -2x + 8

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Answers

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

What is the measure of AC?

Answers

Answer:

C. 116

Step-by-step explanation:

AC= 58*2= 116

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle ABC is half the measure of its interceptrd arc AC, thus

arc AC = 2 × 58° = 116° → C

What is the largest possible value
could take given that it must be an integer?
x<5

Answers

An integer is a whole number, so 4 is the answer. This is because it is only less than, not less than or equal too.

Find the volume of the prism
pls!! show how you got the volume ​

Answers

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right

Answers

Answer: A. SSS

Step-by-step explanation:

The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.

Answer:

SSS

Step-by-step explanation:

The given triangles have 3 equal sides: 3, 6 and 8

So the answer is SSS (side-side-side)

what is 100 divided by 3?

Answers

Answer:

0.003

Step-by-step explanation:

100 / 3 = 0.003

When dividing with (10, 100, 100 etc) you go this way <—

0.003 100/3=0.003 hope this helps

8 divided by 4106 long division

Answers

Answer:

513.25  or 0.001

How i got the answer:

As we  that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.

If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.

If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.

Answer: 513.25  or 0.001

Please mark me brainliest

Hope this helps.

answer is 8/4106 or 0.002

Just follow the rules for multiplication and keep going till the end

Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.

Drag and drop the answer to the boxes below to complete the sentence.

145, 0.95
a decrease of, an increase of
5%, 45%, 95%

The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.

Answers

Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential decay function:  

A = P (1 - r) t  

Where:  

p = original price

r = decrease rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 =-r

0.05 =r

Converting to percentage form:

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.  

Simplify (5 + 1)^2- (11 +32) divided by 4

Answers

Answer:

-7/4

Step-by-step explanation:

((5 + 1)^2- (11 +32))/ 4=(36-43)/4= -7/4

Answer:

31

Step-by-step explanation:

Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.

Answers

there is no slope. boom

Answer:

there is no slope :)

Step-by-step explanation:

give the other person brainliest bc theyre swag

Find the slope of the line that passes through (2, 12) and (5, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The right answer is -2/3

please see the attached picture for full solution

Hope it helps

Answer:

[tex]slope = - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

If v varies directly as w, and v=24 when w=8, find the equation that relates v and w.

Answers

Answer:

v = 3w

Step-by-step explanation:

Given that

v ∝ w

The, v = k w ---------------(1)

Where k is the constant of proportionality

Now, v = 24, w = 8

Putting in (1)

24 = k(8)

Dividing both sides by 8, we get

k = 3

Putting k =3 in (1)

v = 3w

This is the required equation connecting both

ANSWER:
It is given that v varies directly as w.
V=24 and W=8
So,simpler way is 24/8=3
As ratio is written in the form of p/q.
So,we can say that v=3w.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!

The table shows some information about the five great Lakes of North America

Answers

Answer:

add me on snap kingmadness7062

Step-by-step explanation:

Total surface area of all the lakes combined is 24.5×10¹⁰

What is the Total Surface Area?

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.

Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰

                               =24.5 ×10¹⁰

Hence, total surface area of all the lakes combined is 24.5×10¹⁰

Learn more about the Total surface area here:

https://brainly.com/question/15584129

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What are the x-intercepts of y=4x^2-16

Answers

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:

[tex]4x^2-16=0[/tex]

Factor:

[tex]4(x^2-4)=0 \\\\4(x-2)(x+2)=0 \\\\x=2,-2[/tex]

The x intercepts are at (-2,0) and (2,0). Hope this helps!

Answer:

The x intercepts are -2 and 2

Step-by-step explanation:

y=4x^2-16

Set equal to zero to find the x intercepts

0 =4x^2-16

Factor

0 = 4(x^2 -4)

Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)

0 = 4(x-2) (x+2)

Using the zero product property

0 = x-2   0 = x+2

x =2          x = -2

The x intercepts are -2 and 2

pls answer this qn i need it urgently

Answers

Answer:

First rationalize the surd

(√3 +√2)(√3 - √2)/(√3 - √2)(√3 -√2)

The final answer will be 5 + 2√6

So x = 5 + 2√6

I) x + 1/x

5 + 2√6 + 1/5 + 2√6

Find the LCM

The final answer will be 10

ii) x² +1/x²

(5 + 2√6)² + 1/(5 +2√6)²

= 49 + 20√6 + 1/49 + 20√6

Find the LCM

The final answer will be 98

For i) x = 10

ii) x = 98

Hope this helps.

Answer:

i) 10

ii) 98

Step-by-step explanation:

x= (√3+√2)/(√3-√2)

i)

x+1/x= (√3+√2)/(√3-√2) + (√3-√2)/(√3+√2)= ((√3+√2)²+(√3-√2)²)/(√3+√2)(√3-√2)=(3+2+2√6+3+2-2√6)/(3-2)= 10

ii)

x²+1/x²= (x+1/x)² - 2x*1/x= 10² - 2= 100 - 2= 98

Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?

Answers

(6+4n)-(8+3n)= 7n-2
(4+6n)-(3+8n)= 14n+1

which statements accuretly describe the function f(x)=3(square root 18)^x​

Answers

Answer:

3 is being multiplied by the square root of 18 which is being raised to the "x" value

Math help please! What are the possible solutions to this system?

Answers

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

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