![What Is The Measure Of Z? Z = [?]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/RJ6cRH9KQyJEBlRC5NfMphCljuUzuqZk.jpeg)
Answers
The measure of z in its simplest form is 3√11
We solve the triangle using pythagoras' theorem.
What is pythagoras' theorem?Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.
So, according to Pythagoras' theorem,
c² = a² + b²
The required equationsSince we have three right angled triangles, in the smallest right angled triangle, we have
z² = y² + 3² (1)
In the next larger right angled triangle, we have
x² = y² + 27² (2)
In the largest right angled triangle, we have
(3 + 27)² = z² + x²
30² = z² + x² (3)
Substituting (2) into (3), we have
30² = z² + x²
30² = z² + y² + 27²
30² - 27² = z² + y²
900 - 729 = z² + y²
171 = z² + y²
z² = 171 - y² (4)
Equating (1) and (4), we have
y² + 3² = 171 - y²
y² + 9 = 171 - y²
y² + y² = 171 + 9
2y² = 180
y² = 180/2
y² = 90
The measure of zSubstituting y² into (1), we have
z² = y² + 3²
z² = 90 + 9
z² = 99
z = √99
z = 3√11
So, the measure of z is 3√11
Learn more about pythagoras' theorem here:
https://brainly.com/question/654982
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Answer: first answer 3, 2nd answer 10.
Step-by-step explanation:
I just did the question on acellus
Related Questions
Order of operations
6 + 24 ÷ 3-2
Answers
Answer:
12
Step-by-step explanation:
(6+24÷3)−2
(6+8)−2
14−2
12
Answer:
12
Step-by-step explanation:
Select all that are equivalent to
Assume a not equal to 0
***please answer fast***
Answers
Answer:
1 and 3
Step-by-step explanation:
This simplifies by cancelling out the lesser, so it is 1/a^7
can also be simplified to a^-7
Answer:
Options 1 & 3
Step-by-step explanation:
Hope it helps!
A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?
Answers
Answer:
$70
Step-by-step explanation:
35+35=70
Graph the equation.
y=-3x - 4
Answers
Step-by-step explanation:
Goes down 4 since it's a negative
Write the slope-intercept equation of the line passing through (4,6) and (0,-8).
Answer:
Answers
Answer:
[tex]y=\frac{7}{2} x -8[/tex]
Step-by-step explanation:
We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
First, we need to find the slope of the line
The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:
[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{0-4}[/tex]
Subtract
m=[tex]\frac{-14}{-4}[/tex]
Divide
m=[tex]\frac{7}{2}[/tex]
The slope is 7/2
Here is the equation of the line so far:
[tex]y=\frac{7}{2}x + b[/tex]
We now need to find b
As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.
Taking (4,6) for instance:
[tex]6=\frac{7}{2}(4) + b[/tex]
Multiply
[tex]6=14 + b[/tex]
Subtract
-8 = b
The equation therefore is:
[tex]y=\frac{7}{2} x -8[/tex]
Topic: slope-intercept form
See more: https://brainly.com/question/27726094
Look at the screen shot teach me how to do this thank you.
Answers
Answer:
Slope intercept form (y = mx + b) = [tex]y = \frac{2}{3} x + \frac{7}{3}[/tex]
X intercept (slope): [tex](-\frac{7}{2} , 0)[/tex]
Y Intercept: [tex](0, \frac{7}{3} )[/tex]
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
Hope this helps! :D
Step-by-step explanation:
solve for y
[tex]3y - 7 = 2x[/tex]
isolate the y variable to one side
let's first add 7 to both sides of the equation
[tex]3y - 7 + 7 = 2x + 7[/tex]
sevens on the left side of the equation cancel so we get
[tex]3y = 2x + 7[/tex]
Now let's divide everything in the equation by 3 to further isolate the y variable
[tex] \frac{3y}{3} = \frac{2x}{3} + \frac{7}{3} [/tex]
The threes on the left hand side of the equation cancel
[tex] y = \frac{2}{3}x + \frac{7}{3} [/tex]
Susie is visiting Greece from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.92 euro per kilogram. If 1 euro was worth 1.09 dollars that day, how much did the tomatoes cost in dollars per pound?
Answers
can you help me this 4^x x ^8^x^+^1 = 2⁴
Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.
Answers
Answer:
#9
given, angle BOD = 95 degree
and angle COD = 35 degree
assume that, angle BOC = x degree
so, angle BOC + angle COD = angle BOD
or, x + 35 degree = 95 degree
so, x = 95 degree - 35 degree = 60 degree
so, angle BOC = 60 degree
#10
given, angle AOC = right angle = 90 degree
and angle AOB = 30 degree
assume that, angle BOC = y degree
so, angle AOB + angle BOC = angle AOC
or, 30 degree + y = 90 degree
so, y = 90 degree - 30 degree = 60 degree
so, angle BOC = 60 degree
Step-by-step explanation:
detailed explanation and answer please 20 points
Answers
Step-by-step explanation:
The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76
So the answer is the bottom one. P=76 and A=330
A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Answers
Answer
Wow she can air walk
Step-by-step explanation:
Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?
Answers
Answer:
10 liters of 40% solution
10 liters of 10% solution
PLEASE HELP look at this screenshot is it a, b, c, or d
Answers
Answer:
D.
Step-by-step explanation:
Help me please please ..........
Answers
Answer:
D
do you rlly need an explanation?
Answer:
b-16/25
Step-by-step explanation:
cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more
Choose the sentence that is equivalent to the following statement:
Among any two consecutive positive integers, there is at least one integer that is not prime.
a. If x and y are positive integers, then x is not prime and y is not prime.
b. If x and y are positive integers, then x is not prime or y is not prime.
c. If x is a positive integer, then x is not prime and x 1 is not prime.
d. If x is a positive integer, then x is not prime or x 1 is not prime.
Answers
Answer:
bbbbbbbb
Step-by-step explanation:
bbbbbbbbb;bbbbbbbvvvbbbbb;vvvvvvvvvvvvvv
What is the slope of the line that passes through the points (-4, 0) (-4, -10)
Answers
Answer:
The slope is undefined.
Step-by-step explanation:
If the x value stay the same between a set of points, the slope of the line will be undefined.
Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.
x =
Answers
Answer:
x=-1.5
Step-by-step explanation:
To solve for x, you need to rearrange so the x is on one side of the "=" by itself.
So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.
The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.
The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.
I have attached a photograph of this method written out using the funnel technique.
Nicole has a pack of playing cards & she chooses a card at random. what is the probability that she picks an ace?
Give your answer as a fraction in its lowest form
Answers
Answer:
1/13 (1 in 13)
Step-by-step explanation:
so, there's 4 aces in a standard deck of 52 cards.
so far, we can see this as 4/52 (4 in 52)
these are both divisible by 2, lets go ahead and simplify that to 2/26
still divisible by 2. this then becomes 1 /13
so, she has a 1/13 (1 in 13) chance to get an ace.
Select the best answer for the question.
11. Which of the following is a mixed number?
O A.25
O B.5/2
C. 2.3
O D.2/ 1/2
Answers
Answer:
c
Step-by-step explanation:
Do the ratios
4
7
and
1
5
form a proportion?
Answers
Brainliest to the most elaborated answer
Answers
Answer:
The answer is that you have to find tan x which is by slanted by o,n,2
Step-by-step explanation:
A robot can complete tasks in
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answers
Answer: a
Step-by-step explanation:
Answer:
A robot can complete tasks in
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
It takes one hour to complete one task.
b. How many tasks can the robot complete in one hour?
It complete only one task in one hour.
What is the next number in the sequence 3,5,8,12,17?
Answers
Answer:
it would be 23
Step-by-step explanation:
5-3=2
5-8=3
12-8=4
17-12=5
23-17=6
What is 35% of $2,195.73
Answers
Answer:
768.51
Step-by-step explanation:
To find 35% change the percentage to a decimal (.35)
Then multiply the original amount by .35
2195.73 *.35
768.5055
Since this is money, we round to the nearest cent
768.51
what single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
Answers
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
The multiplier for a series of changes is the product of the multipliers for each of the changes:
(1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114
please help me solve this !
will mark brainliest !
(spammers reported)
Answers
Answer:
it is five
Step-by-step explanation:
5v-2=8 then v=x2 because 5x2=10-2=8
so 7v-9=5
The correct answer is 5
 50, 25, 12.5….
What is the geometric sequence and what is the 8th and 10th term
Answers
clearly r = -1/2
So, Tn = -100 (-1/2)^(n-1) = 200/(-2)^n
A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?
Answers
Answer:
30
Step-by-step explanation:
took test
Does anyone know this?
Answers
Answer:
8/21
Step-by-step explanation:
-1/3 + 5/7=1×7 =-7/21 +15/21
- × -
3. 7
-7/21 + 15/21= -7+15 = 8/21
-----
21
Help plz 20 points !!!!!!!!!!!!!!!!!!!
Answers
Answer:
(- 3, 0 ) and (5, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² - 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3 , since
- 5 × 3 = - 15 and - 5 + 3 = - 2 , then
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
The x- intercepts are (- 3, 0 ) and (5, 0 )
(-4,6) slope 3/4 written in slope intercept form
Answers
Answer:
y=3/4x+9
Step-by-step explanation:
it is right trust me.