Answer:
[tex]Q = 29.3^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle S = 90[/tex]
[tex]RS = 2.2ft[/tex]
[tex]QR = 4.5ft[/tex]
See attachment for ΔQRS
To calculate <Q, we make use of:
[tex]sin\ Q = \frac{Opposite}{Hypotenuse}[/tex]
Where
[tex]Opposite = RS[/tex]
[tex]Hypotenuse = QR[/tex]
[tex]sin\ Q = \frac{RS}{QR}[/tex]
[tex]sin\ Q = \frac{2.2}{4.5}[/tex]
[tex]sin\ Q = 0.4889[/tex]
Take arc sin of both side
[tex]Q = sin^{-1}(0.4889)[/tex]
[tex]Q = 29.3^\circ[/tex]
Determine whether the following sequences are arithmetic. If so, identify the common
difference.
9, 15, 21, 27, ...
Answer:
Yes the sequence is arithmetic
The common difference is 6
Step-by-step explanation:
Determine whether the following sequences are arithmetic. If so, identify the common difference.
9, 15, 21, 27, ...
The sequence given in the above question is arithmetic because it follows the formula
Un = a + (n -1)d
Where
a= First term
n = Number of terms
d = Common difference
The common difference is calculated as the
Second term - First term
15 - 9
= 6
or the Third term - Second term
21 - 15
= 6
or the Fourth term - Third term
= 27 - 21
= 6
Therefore, the Common difference = 6
1. Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of the first and the fourth numbers.
2. Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and third numbers.
Answer:
1.
(x+1)(x+2)>x(x+3)
x^2+2x+x+2>x^2+3x
x^2+3x+2>x+3x
2>0
2.
(x+2)^2>x(x+4)
x^2+4x+4>x^2+4x
4>0
Step-by-step explanation:
1.
Suppose x is the lowest number in the set of 4 consecutive numbers, then x+1, x+2, and x+3 are then the next numbers in the sequence since they are the next whole numbers.
Then, to follow the conditions of the problem, we make the equation:
(x+1)(x+2)>x(x+3)
Using the formula of (a+b)(c+d)=ac+ad+bc+bd, we can expand both sides of the equation into this:
x^2+2x+x+2>x^2+3x
=x^2+3x+2>x^2+3x
We can then cancel x^2+2x from both sides and we are left with 2>0.
2.
Again, suppose x is the lowest value in the set of consecutive numbers. In this case, odd numbers increase by 2 each time so the series of numbers are:
x, x+2, x+4
Therefore, to follow the conditions of the problem, we make the equation:
(x+2)^2>x(x+4)=
(x+2)(x+2)>x(x+4)
Using the same formula of (a+b)(c+d)=ac+ad+bc+bd, we get:
x^2+4x+4>x^2+4x
Cancel x^2+4x from both sides and we are left with 4>0
Hope this helps!
Select all the true statements.
(1048 – 876) ÷ 4 is four times as large as (1048 – 876).
(1048 – 876) + 24 is 24 times as large as (1048 – 876).
(1048 – 876) – 17 is seventeen less than (1048 – 876).
1/2 × (1048 – 876) is half as large as (1048 – 876).
(1048 – 876) × 4 is four more than (1048 – 876).
Answer:
C and D are are the true statements
I NEED HELP ASAP!!!!!!!!
a certain book has 396 pages the student has already read 3/8 of the pages and now picks up the book again at time x=0 minutes write the equation that describes the total number of pages of the book read as a function of the number of minutes of further reading
Answer: https://brainly.com/question/22630516?answering=true&answeringSource=feedPublic%2FhomePage%2F1
Step-by-step explanation: I hope this helps pls mark branily
who uses y=mx+b in School
Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?
Answer:
153.9 ft²
Step-by-step explanation:
Given that:
Radius of circular lawn = 7 feets
To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn
Area of a circle, A = πr²
A = π * 7 * 7
A = 153.93804
A = 153.9 ft²
Do not factor by grouping. Solve 2(x-2)^1/3=x+2
Step-by-step explanation:
2(x-2)⅓=x+2
so we first cube each side,such that...
(2(x-2))⅓•³=(x+2)³
we get...
2(x-2)=(x+2)³
expanding...
2x-4=x³+6x²+12x+8
grouping....
x³+6x²+12x+8-2x+4=0
solving...
x³+6x²+10x+12=0
now you can use you calculator to solve for the possible values of x
I hope this will help
Quick answer please!
There are 1,560 students enrolled at Greenwood Middle School. If 85% of these students ride the bus, how many do not ride the bus?
Answer:
234 students do not ride the bus
Step-by-step explanation:
1560*0.15
Answer:
if 85% ride the bus, that leaves 15% not riding.
1560× .15= 234 students
?????Help help help help help
Answer:
trapezoid
Step-by-step explanation:
PLZ HELP IF CORECT WILL GIVE BRAINLIST
Answer:
65 meters
Step-by-step explanation:
you add all the side/numbers together
I don't know how to do these 3 circled problems. can you do it step by step?
re-grouping strategy for solving 57 x 18?
Answer:
1026
Step-by-step explanation:
I would do 50 x 18 and then do 7 x 8... then add the two results...
is it a function? and explain briefly why
Answer:
No
Step-by-step explanation:
Each output can only have one input
**GIVING BRAINLIEST**
out in the open ocean, a tsunami can travel 800 kilometers per hour but as it reaches the coast it has to compress and slow down. suddenly it is now traveling only 160 kilometers in 2 hours. what is the rate of speed?
What is the circumference of the circle? Use 3.14 for Pi.
Answer: Could we see the circle we need to find the circumference for?
Step-by-step explanation:
Write an equation in slope-intercept form (y = mx + b) , that perpendicular to y = 2x - 4 that passes through the point (3, - 3) .
Answer:
Step-by-step explanation:
perp. -1/2
y + 3 = -1/2(x - 3)
y + 6/2 = -1/2x + 3/2
y = -1/2x - 3/2
A town's population went from 40,000 to 50,000. What was the percent of change in the population?
Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4. Giving brainliest!
Answer:
y=1/4x+1.5
Step-by-step explanation:
Slope is 1/4 and I figured out that the y-intercept point is 1.5y.
I am not exactly sure though
Solve for h.
-4h - 10 = 10 - 9h
h = |
help please what is the domain and range of S
S={(0,-2), (5,3), (-3,5), (1,1)}
Answer:
Domain: {0,5,−3,1}
Range: {2,3,5,1}
Step-by-step explanation:
Which expressions are equivalent to 4m + 12? Choose all that apply. Whoever answers fastest, I’ll mark the Brainliest!
Answer: 1st and 3rd
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
6m-2m =4m
Hence 4m+12
Which set of three numbers can be used to make a right triangle?
Group of answer choices
4, 5, 6
3, 4, 5
5, 6, 7
Answer:
3, 4, 5
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = 5^{2}[/tex]
9+16=25
25=25
Which of the following properties is always true for a parallelogram? *
Diagonals bisect each other.
Diagonals are perpendicular.
Diagonals are congruent.
Diagonals biscect opposite angles.
Answer:
Diagonals bisect each other
please help!!!! will mark brainlest
Answer:
16.59
Step-by-step explanation:
πr^2/2
radius is 6.5/2 = 3.25
πx3.25x3.25/2= 16.59
please help me ill mark you brainliest and please show your work :)
Answer:
12
Step-by-step explanation:
Multiply both sides of the equation by 8/5.
4x-16=32
Move 16 to the other side
4x=32+16
add numbers on the right side
4x=48
divide both sides by 4
x=12
The equation below can be used to find how much Julie took to the mall (d), in dollars.
d - $44.00 = $22.00
How much did Julie take to the mall?
$968.00
$2.00
$66.00
$22.00
Answer:
$22.00
Step-by-step explanation:
the reason it's 22 dollars is because you take away 44 - 22 and it's 22
The value of x for the system is 1. What is the value of y?*
1 point
3x + y = 9
y = -4x + 10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
3x + (-4x + 10) = 9
-x+ 10 = 9
-X = -1
x = 1
O y = 14
O y = 12
O y = 6
O y=3
When loesolved
system lisin
bstitution bet7
TA
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answer:
4w + 9
Step-by-step explanation:
Area of rectangle = length x width (or base x height, depending on how you look at it).
It is given to you that:
Area = 8w + 18
Length = 2
Let: width = x
Plug in the corresponding terms with the corresponding words:
8w + 18 = 2x
Isolate the variable, x. Divide 2 from both sides of the equation:
(8w + 18)/2 = (2x)/2
x = (8w + 18)/2
w = (8w)/2 + (18)/2
w = 4w + 9
4w + 9 is the expression that represents the width of the rectangle.
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