Answers
Step-by-step explanation:
By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.
This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.
So z = 3.2 (1 d.p.)
Step-by-step explanation:
x=4.2
y=2.7
z=x
(×+y=×
(4.2+2.7=×)
×=6.9
Related Questions
Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C and D
Step-by-step explanation:
i just took the quiz
From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Determining perfect square trinomialsRecal that,
An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac
For x² -9a = 1, b = 0, c = -9
0² ≠ 4(1)(-9)
0 ≠ -36
∴ x² - 9 is NOT a perfect square trinomial
For x² - 100a = 1, b = 0, c = -100
0² ≠ 4(1)(-100)
0 ≠ -400
∴ x² - 100 is NOT a perfect square trinomial
For x² -4x +4a = 1, b = -4, c = 4
(-4)² = 4(1)(4)
16 = 16
∴ x² - 4x +4 is a perfect square trinomial
For x² +10x +25a = 1, b = 10, c = 25
(10)² = 4(1)(25)
100 = 100
∴ x² +10x +25 is a perfect square trinomial
For x² +15x +36a = 1, b = 15, c = 36
(15)² ≠ 4(1)(36)
225 ≠ 144
∴ x² - 4x +4 is a NOT perfect square trinomial
Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
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What is 1 x 10^3 in standard form? Show work of how you did it please :)
Answers
Answer:
1×10^3 = 1000
Step-by-step explanation:
so basically its 1×10×10×10
The standard form of the given scientific notation is 1000.
The given scientific notation is 1×10³.
What is the standard form of a number?The standard form means the process of writing very large expanded form of a number into small form or small number.
Now, the standard form of 1×10³ is
1×1000
= 1000
Therefore, the standard form of the given scientific notation is 1000.
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Which of the following problems can be represented by the equation below? 5x - 15 = 15x
Answers
Answer:
6
Step-by-step explanation:
5x-15=15x
+15 +15
5x=30
5/5=1
30/5=6
1=6 or x=6
can you give me a real-world problem that involves multiplying a fraction and a whole number?
Answers
Answer:
Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.
Step-by-step explanation:
rishi and kyle spent the same amount of time.
6/4 and 6/4 hours
The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?
Answers
Answer:
The difference is 85 ft.
Step-by-step explanation:
Elevation 1: 50 ft
Elevation 2: -35 ft
Difference = Elevation 1 - Elevation 2
Difference = 50 - (-35)
I can simplify this expression, as subtracting a negative number is the same as adding a positive number:
Difference = 50 + 35
Difference = 85
Answer: The difference is 85 ft.
Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?
Answers
1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *
Answers
Answer: Increase
Step-by-step explanation: 18 is greater than 12
i dont get this question.
Answers
hope that helps :D
Solve this
equation for m
y = mx + b
Answers
Answer:
m is represented as the slope
Step-by-step explanation:
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answers
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km
Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
Answers
Answer:
school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...
9
9x5=45
A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?
Answers
Answer:
$6
Step-by-step explanation:
If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.
Hailey makes a necklace with 24 blue beads and 32 purple beads. She wants to make a bracelet that uses the same ratio of blue beads to purple beads. She plans to use 6 blue beads for the bracelet. How many purple beads should Hailey use
Answers
Answer:
8
Step-by-step explanation:
Ratio of blue beads to purple: 24:32
Reduce it using four and it becomes 6:8
1,221 kids signed up for summer baseball. If the league has 32 teams and split the kids up evenly among the teams, how many kids would be placed on each team? Select the best response from below.
Answers
Answer:
38 kids on each team about.
I am Not 100% sure but I hope this Helps!
So D.
Which relation represents a function?
1) {(0,3),(2,4),(0,6)}
2) {(-7,5),(-7,1),(-10,3), (-4,3)}
3) {(2,0),(6,2),(6,-2)}
4) {(-6,5),(-3,2),(1,2),(6,5)}
Answers
A square garden has an area of 1,600 square feet. How long is each side of
the garden?
16
40
80
160
Answers
Answer:
40
Step-by-step explanation:
why? because 40x40=1600
What is the missing coefficient?
x2 + 4x
+
2x
x2 + x
please help me
Answers
x^2 + 6x since 4x + 2x = 6x
If x represents a number then write an expression for a number that is three more than one third the value of x
Answers
Answer:
1/3x+3
It is asking for 1/3 of x which is 1/3x
three more essentially means add 3
So 1/3x+3 is the answer
The expression is,
y = 1/3x+3
Where, y is number write with the help of x
And, x is a number.
Here,
We have to write an expression for a number that is three more than one third the value of x.
What is Number system?
A system of writing to express the number is called Number system.
Now,
x represents a number.
Let a number y which is written as, three more than one third the value of x.
One third of x = 1/3 x
Then, more than 3 means to add 3, we get
y = 1/3 x + 3
Hence, The expression is,
y = 1/3x+3
Where, y is number write with the help of x
And, x is a number.
Learn more about the number system visit:
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1. Diquan bought a shirt for $20 and paid 10% in sales tax. What was total cost of
the shirt
Answers
Answer:
22 dollars
Step-by-step explanation:
20/10=2 dollars + 20= 22
2. and 100 are a zero pair.jia
Answers
Answer:
More information please
Step-by-step explanation:
There is not enough information to complete the equation.
question 7 pls help i need help pls
Answers
Answer:
112
Step-by-step explanation:
m<pmo + m<qmn = m<pmn 90+22=112
Answer:
112
Step-by-step explanation:
add 90 and 22
#1 Shane bought 4 shirts for $17 and 4 pants. He spent a total of $71.
How much did each pant cost?
#2 Julie has 4 more apples than Sam. Julie and Sam have a total of 30
apples. Find the number of apples Julie has
Help me out please
Answers
Show the proper algebraic steps to solve 5x + 34 = 2(1 -7x)
Answers
Answer:
x=-1.68
Step-by-step explanation:
5x + 34 = 2(1 -7x)
5x+34=2-14x
5x+14x=2-34
19x=-32
x=1.68
I need helpppp with this question
Answers
Answer: Y = 6 and X = 5
Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah
Ming made a triangular picture frame out of cardboard. The sides of the frame are 6.75 in., 6.75 in., and 8.375 in. Ming uses the addition below to determine the amount of string she needs to decorate the edges of the frame.
675 + 675 + 8.375 = 9.725. The 675 values are lined up with the 375 portion of 8.375.
Which explains Ming’s error?
Answers
Answer:
She should have included the decimal in 6.75 and aligned the decimal points to add 6.750 + 6.750 + 8.375 = 21.875.
Step-by-step explanation:
6.750
6.750
+ 8.375
21.875
I hope this helps
Answer:
The answer is A
Step-by-step explanation:
I took the test
Question 9
A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.
Answers
Answer:
[tex]4n = 24[/tex]
Step-by-step explanation:
Given
[tex]Cars = 4[/tex]
[tex]Empty = 3[/tex]
[tex]Occupied = 21[/tex]
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If [tex]1\ car = n[/tex]
Then:
[tex]4\ cars = 4 * n[/tex]
[tex]4\ cars = 4 n[/tex]
This implies that there are 4n total seats
Solving further:
[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]
Substitute values for the above parameters:
[tex]21 + 3 = 4n[/tex]
[tex]24 = 4n[/tex]
Reorder
[tex]4n = 24[/tex] ---- This equation can be used to solve for n
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.
Answers
Answer:
10 hrs
Step-by-step explanation:
4.12/2 = 2.06 hrs / person
Find x, when p(x) = -1,
Answers
Answer:
positive or negative 4
Step-by-step explanation:
p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line
Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x
Answers
Answer:
A
Step-by-step explanation:
Neena is listening to a song. It has a consistent beat. She counts 11 beats in
1 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.
Answers
Answer:
11beats / 1 second = 660 beats /1 minute