Answer:
a = 43
Step-by-step explanation:
If PQ = PR, then P = R
The sum of the angles of a triangle is 180
P+Q+R = 180
47+2a + 47 = 180
Combine like terms
94 + 2a = 180
Subtract 94 from each side
2a = 180-94
2a = 86
Divide by 2
2a/2 = 86/2
a = 43
Answer:
43
Step-by-step explanation:
PQ = PR, so P = R
P + Q + R = 180
47+2a + 47 = 180
2a = 180 - 47 - 47
2a = 86
= 43
Hope this helps!
Ava and Sara both started getting an allowance 12 weeks ago, and they haven't spent a cent! They get $1 for each year of their age. Sara is 8 and gets $8 per week. Ava has $24 more than Sara. How old is Ava?
Answer:
Ava is 10 years old
Step-by-step explanation:
Sara is 8
Sara=$8 per week for 12 weeks
$8×12 weeks=$96
Ava has $24 more than Sara
x*12=96$+$24
12x=120
x=120/12
x=10
Ava's age is 10
help ASP plaz i need help
Answer:
isoceles right triangle
Step-by-step explanation:
the two lines shows their equal length and its at a 90 degrees angle so its a isoceles right triangle
PLEASE HELP !!!!!! PLEASE
Answer: D. (I, II, and III)
Step-by-step explanation:
having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win
not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)
if a quadrilateral is a square, it is also a rhombus
Answer:
It is D.
Step-by-step explanation:
If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.
If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.
All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).
PLEASE HELP
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2
the compounding of this question
In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
[tex]27.6^\circ[/tex]
Step-by-step explanation:
Given:
A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]
ST = 44 feet
TR = 84 feet
To find:
[tex]\angle R = ?[/tex]
Solution:
Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.
Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].
We know that formula for tangent of angle [tex]\theta[/tex] is given as:
[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here, Perpendicular for [tex]\angle R[/tex] is side ST and
Base is side TR.
Putting the values in above tangent formula:
[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]
Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.
Answer:
66.1
Step-by-step explanation:
fully Factorise 7m^2 + 13m
Answer:
[tex]m(7m + 13)[/tex]
Step-by-step explanation:
[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]
Geometric mean is used to determine the scale of objects.
False
True
at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
About $5.33
Step-by-step explanation:
If u want to find out How many dollars per hour u do 48 divided by 9
Hope this helps
if f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)
Answer: [tex](f-g)(x)=6x^2-2x-6[/tex]
Step-by-step explanation:
[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]
Take each function and subtract them.
[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]
The trick here is that the negative sign changes all of the signs inside the parentheses.
[tex](f-g)(x)=6x^2-4-2x-2[/tex]
Combine like terms;
[tex](f-g)(x)=6x^2-2x-6[/tex]
The function has a y-intercept of (0, 4) and a multiplier of 0.8. 1) Whats the initial value? 2) Is it exponential growth or decay? 3) What is the exponential equation?
Answer:
1) 4
2) exponential decay
3) [tex]y = 4(0.8)^x[/tex]
Step-by-step explanation:
1) The initial value or an exponential function is the y-intercept.
Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:
y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.
Therefore the y intercept is 4
2) Since the multiplier is greater than 0 and less than one, it is an exponential decay
3) standard exponential function of the form y(x) = a•bˣ, at (0,4),
4 = a(b)⁰
a = 4
b = multiplier = 0.8
Therefore: [tex]y = 4(0.8)^x[/tex]
Which expression is equal to the expression below?
(7•2)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.
melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?
Answer:
1.4 hours or 83 minutes
Step-by-step explanation:
90 mi / 65 mph = 1.4 hr
Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.
What is the speed?Speed is the rate of distance covered in a particular time.
It is equal to distance/time
How to calculate time?We know that speed=distance/time
so the time will be =90/65
which will be equal to1.44 hour
Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.
Learn more about speed at https://brainly.com/question/4931057
#SPJ2
Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.
a. 6x2 + 9x + 8x + 5
b. (3x + 1)(2x + 5)
c. x(6x + 17) + 5
d. 3x(2x + 5) + 1(2x + 5)
Answer:
b
Step-by-step explanation:
given
6x² + 17x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 5 = 30 and sum = 17
The factors are 2 and 15
Use these factors to split the x- term
6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )
= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term
= (3x + 1)(2x + 5) → b
The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.
Important information:
The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:Splitting the middle term, we get
[tex]6x^2+15x+2x+5[/tex]
After grouping, we get
[tex](6x^2+15x)+(2x+5)[/tex]
Taking out common factors, we get
[tex]3x(2x+5)+1(2x+5)[/tex]
Now, it can be written as:
[tex](3x+1)(2x+5)[/tex]
Therefore, the correct options are b and d.
Find out more about 'Factoring' here:
https://brainly.com/question/2416165
What decrease the probability of something happening?
Answer:
When you add more to your sample space.
Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.
Enter the equation for the graph.
Answer:
y = cos x
Step-by-step explanation:
The graph begins at (0, 1) and completes its first period at (2π, 1) Thus the period of this function is 2π. The amplitude is 1; this is the value that y takes on when x = 0.
Thus the equation of this graph is y = 1cos x, or y = cos x.
ini apa we jawabannya pelasee
Answer:
kualitas terjemahannya mungkin tidak bagus. Jadi lihat 2 baris terakhir jika Anda tidak mengerti.
Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.
Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.
Marina berjalan sejauh 80 km
Dumai berjarak 96 km
A bag contains purple marbles and blue marbles, 38 in total. The number of purple marbles is 5 more than 2 times the number of blue marbles. How many purple marbles are there?
Answer:
27 purple marbles
Step-by-step explanation:
purple marbles- pblue marbles- bEquations based on the given:
p= 2b +5 and p+b= 38
2b+5+b= 38 ⇒ 3b+5= 38 ⇒ 3b= 33 ⇒ b= 11p= 38-11= 27which expression shows the first step in dividing 5x + 3 by x?
What dose point a represent on the graph
Answer:A point can represent a piece of data or an (x,y) value.
Step-by-step explanation:
If you can, please help on this Algebra Question. Use the drop-down menus to complete the statements.
Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces
Answer: the correct answer will be 27/31
Step-by-step explanation:
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
I need explanation and help me plz !!!!
Answer:
52
Step-by-step explanation:
There are a total of 380+240+110 people. (730)
0.52 are in stage 3.
0.33 in stage 2.
0.15 in stage 1.
52 people from stage 3 should be in the group.
Could someone please explain to me how to solve this problem? Thanks! :)
Answer:
First of all since they are dividing subtract the powers of the base from each other .
Make sure the bases are the same.
((6^7-6)(3^3-4))³
((6)(3^-1))³
(6³)(3^-3)
216 × 1/27
= 8
That's option d.
Hope this helps.
tell whether the red figure is a translation or rotation of a black figure
Answer:
The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.
Answer:
translation
see below
Step-by-step explanation:
translation because it didn't change direction of the figure
translation is sliding down or up rotation is moving in circle
what is log 8/3 base 5
Answer:
3 to the power of 8 / 5
Step-by-step explanation:
What are the domain and range of this graph
Answer:
As shown in picture, the graph starts from 0 and goes to + infinity.
=> Domain: [0, + infinity)
=> Range: [0, + infinity)
Hope this helps!
:)
y=-3x + 6
y = 9
What is the solution to the systems of equations
Answer:
-1,9
Step-by-step explanation:
You use the equal values method to combine the two equations
-3x+6=9
then subtract 6 on both sides of the equal sign
nine minus six is 3
-3x=3
divide negative three on both sides to isolate the x value
to get....
x=-1
then plug the x value back in to find the y value
(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK
3+6 is 9
9=9 check!
Answer:C -(-1,9)
Step-by-step explanation:
Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
0 = 4x
8 = 4x
4 = -4x
16 = -4x
Answer:
8 = 4x OR 0 = 4x
Step-by-step explanation:
I not %100 sure or it could be 0 = 4x
EITHERONE