Answers
Answer:
C) 38
Step-by-step explanation:
You are solving for m∠QSR.
Given:
m∠TSR (Total of the two angles) = 70
m∠QST = 2x
m∠QSR = 3x - 10
Set the two angles equal to the total measurement of angles:
2x + 3x - 10 = 70
Simplify. Combine like terms. Add 2x & 3x:
2x + 3x = 5x
5x - 10 = 70
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 to both sides:
5x - 10 = 70
5x - 10 (+10) = 70 (+10)
5x = 70 + 10
5x = 80
Next, divide 5 from both sides:
(5x)/5 = (80)/5
x = 80/5
x = 16
Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.
m∠QSR = 3x - 10
m∠QSR = 3(16) - 10
m∠QSR = 48 - 10
m∠QSR = 38
C) 38 is your answer.
~
Answer:
38
Step-by-step explanation:
the sum of two angles =70
2x+3x-10= 70
5x=80
x=80/5=16
QSR= 3x-10=3*16 -10= 48-10= 38
Related Questions
Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!!!!
Answers
Answer & Step-by-step explanation:
Since you looking for the width and you are given the length and the area, then you will divide the area by the length.
(10x² + 5x) ÷ 5x
You can also turn this into a fraction so you can know what you are dividing.
[tex]\frac{10x^2+5x}{5x}[/tex]
So, your width is 2x + 1
Answer:
2x + 1 is the width.
Step-by-step explanation:
Length times width equals the area, which means that the area divided by the length equals the width. In this case, 10x^2 + 5x divided by 5x equals the width.
10x^2 / 5x equals 2x.
5x / 5x equals 1.
The width equals 2x + 1.
A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in
Answers
414.48 square feet is needed to make 3 dozen of the covers.
Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.To find the circumference, you multiply the 4 by π, and π is 3.14, and you get 12.56.
Step 2: Find the area of the side, not including the circle.The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.
Step 3: Add them up.
125.6 + 12.56 is 138.16
Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).138.16 multiplied by 36 is 4973.76 square inches.
Step 5: Convert 4973.76 square inches to square feet.12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.
A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.
When Joseph pulls a pen from the bag, how many outcomes are possible?
A) 45
B) 10
C) 20
D) 15
Answers
Answer:
45 different outcomes
Step-by-step explanation:
There are 10+15+20 = 45 pens in the bag
Since he is pulling one pen, and there are 45 different pens in the bag, there are 45 different outcomes
Answer:
45 fsfs
Step-by-step explanation:
i just took a test and got it right
Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year?
Answers
Step-by-step explanation:
Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest
answer this plz quickly
Answers
Answer: THE ANSWER IS -1/36
Step by step: Find the LCD then combine
The answer is : -1/36
You forgot the 1 for 18 in the last question lol
Hope this helps, pls mark as brainliest :))))
HELP PLS I WILL MARK BRAINLIEST!!!!!!!!!!!!
Answers
a
because it has the highest values from all the options from all the above
A 3-column table with 4 rows. The first column is labeled Currency and entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D/1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053.
Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?
129.46
130.00
130.66
134.59
Answers
Answer: 130.66
Step-by-step explanation:
Answer:
$31.88
Step-by-step explanation:
on edge 2020
The distance around the edge of a circular pond is 88 m. The radius, in
metres. 19
Answers
Answer:
14
Step-by-step explanation:
look at the other answer as the person is taking a very long time to write it
Answer: radius = 14.01 m
Step-by-step explanation:
Circumference = 2πr
88 = 2πr
r = 88/2π = 14.01m
this is my question -- solve x^2+5x+6=0
Answers
Answer:
x = -2,-3
Step-by-step explanation:
Solve the equation by factorizing.
To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.
This one is obvious, but for others you may use trial and error.
After finding the 2 numbers: 2 and 3.
Present them in this format:
(x+3) ( x+2) = 0
You may check if this is correct using the distribution method.
After this,
you have to solve it individually.
for example:
x+3 = 0
x = -3
x+2 = 0
x = -2.
Thus, x has 2 different values: -3, -2.
You may check this by substituting x with either of these values.
Please mark brainiest
Ghani is going to use these instructions to make a fizzy drink instruction: mix 5 parts of lime juice with 3 parts of lemonade ghani thinks thats he has 300ml of lime juice and 200ml of lemonade if he is correct what is the greatest amount of fizzy drink can he make?
Answers
Answer: 480 ml
The greatest amount of fizzy drink can he make is 480 ml
Step-by-step explanation:
Given;
Mixing ratio = 5 : 3
Volume of lime juice = 300ml
Volume of lemonade = 200ml
From the given ratio;
5 ml of lemon juice needs 3 ml of lemonade to make 8 ml of fizzy drink.
Assuming all the lemon juice were used;
For 300ml of lemon juice,
It'll require 300/5 × 3 ml of lemonade.
Volume of lemonade needed V2= 300/5 × 3 = 180 ml
Volume of fizzy drink = volume of lemon juice + volume of lemonade
Volume of fizzy drink = 300ml + 180ml = 480ml
The greatest amount of fizzy drink can he make is 480 ml
5. What is the value of s if 8.25s - 2.375 = 10?
1.5
8,25
8
1.7
8,25
06
8,25
093
Answers
Answer:
1
Step-by-step explanation:
8-1,2,4.....
25-1,5...
In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
btw i need two answers for bc not just one
Answers
Answer:
AB = 30 inch
BC = 14 inch or BC = 50 inch
Step-by-step explanation:
Make a drawing. Please see the attachment. All measurements are in inches.
Consider the two triangles:
∆ ABC and ∆ AB'C
1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.
AN is the height and there fore is perpendicular to NC and thus also to BC.
In ∆ ANC
AN² + NC² = AC²
We want to calculate NC, so:
NC² = AC² - AN²
Given: AC = 40 and AN = 24
NC² = 40² + 24²
NC² = 1600 + 576
NC² = 1024
NC = +-SQRT(1024)
NC = 32
NC = NB + BC
We want to know BC
BC = NC - NB
Given: NB = BN = 18 and we just calculated NC to be 32 so...
BC = 32 - 18
BC = 14
2. Looking only at ∆ AB'C
AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.
AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.
In ∆ AB'N
c² = a² + b²
AB'² = AN² + B'N²
Given: AN = 24 and B'N = 18
AB'² = 24² + 18²
AB'² = 576 + 324
AB'² = 900
AB' = +-SQRT(900)
AB' = 30
In ∆ AB'C
with AB' = 30 and AC = 40
c² = a² + b²
B'C² = AB'² + AC²
B'C² = 30² + 40²
B'C² = 900 + 1600
B'C² = 2500
B'C = +-SQRT(2500)
B'C = 50
Now we have our answers.
Extra:
Please look at the picture again, but now concentrate on the indicated 50 and - 50...
I am trying to explain something about the meaning of the outcome of mathematical calculations like:
c² = 2500
c = +- SQRT(2500)
c = 50 or c = - 50
Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...
1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?
2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).
It is important to understand that a negative sign means the 180° in the direction of the other way.
In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -
minus value of your calculated outcome.
Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.
I hope this has made some sense to you :-).
The exact value of Tan 30 x sin 60
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]
[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{3}{6}[/tex]
[tex]=\frac{1}{2}[/tex]
Answer:
[tex]1/2[/tex]
Step-by-step explanation:
Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]
Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]
Multiply the 2 roots you get my answer 1/2
What are two other words used for hypotenuse
Answers
Answer:
solo la conosco como ipotenuza
Step-by-step explanation:
Answer:
flank right-angled triangle right triangle
Step-by-step explanation:
The equation of the line which passes
through the point(0,2) and has a gradient
of 1/3 is?
Answers
Answer:
Using point (0,2) and gradient 1/3
Equation of the line is
y - 2 = 1/3(x -0)
Multiply through by 3
You'll get
3y - 6 = x
3y = x - 6 or y = 1/3x - 2
Hope this helps.
if f(x) is 5x-4 and g(x) is 4x+1 then what is (f-g)(x)
Answers
Answer:
Step-by-step explanation:
5x - 4 - (4x + 1)
5x - 4 - 4x - 1
x - 5
rationalize the denominator of 5√3+3√5 ÷ 5√3+3√5
Answers
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]
[tex]=1[/tex]
what is slope intercept form?
Answers
PLZ HLP MEEEEEEEEEEEEEEE
the table shows the distribution of students in Mrs boxer's sixth-grade class. what is the ratio of the number of boys to the number of girls? 10= boys 18= girls OPTIONS: A. 9/5 B. 5/4 C. 4/5 D. 14/9 E. 5/9 F. 9/14
Answers
Answer: 5/9
Step-by-step explanation:
Because you are looking for the ratio of BOYS to GIRLS you put those numbers in that order so it would be 10boys/18girls simplified that is 5/9
Answer:
Haaave youuu ever seen a troll
digging a hole
down by the bay?
Step-by-step explanation:
May I have brainliest please? :)
Aunt Patricia has a large farm, which contains a right triangular area where her house and gardens are
located. She also has three square pastures where she keeps her milk cows. Aunt Patricia has written a
will. In the will, she leaves the triangular area with house and garden to a local charity. But she leaves
the three square pastures to her two nieces, Mia and Erika.
The side length of the smallest square pasture is 24 meters, and the area of the middle-size square
pasture is 1,024 square meters.
1. What is the area of the smallest square pasture? _________________________ square meters
Show how you figured it out.
2. What is the side length of the middle-size square pasture? ______________________ meters
Show how you figured it out.
In Aunt Patricia’s will, she gave the large pasture to Mia and the two smallest pastures to Erika.
3. What is the side length of Mia’s square pasture (large pasture)? ____________ meters
What is the total area of Mia’s pasture? ______________________________ square meters
Show how you figured it out.
4. The nieces don’t think the will is fair. Explain to them why, in this case, it is fair. Justify your
explanation with mathematics.
__________________________________________________________________
Answers
Answer:
see below
Step-by-step explanation:
The smallest size has area b^2
A = s^2
A= b^2 = 24^2 =576 m^2
The middle size has area a^2
1024 = a^2
Take the square root of each side
sqrt(1024) =sqrt(a^2)
32 = a
The side length is 32 m
To find the side length of the largest pasture use the pythagorean theorem
a^2 + b^2 = c^2
32^2 + 24^2= c^2
1024+576 = c^2
1600 = c^2
Taking the square root of each side
sqrt(1600) = sqrt(c^2)
40 = c
The side length is 40 m
The area is 1600 m^2
It is fair since the areas are the same.1600 m^2 = 1600 m^2
PLEASE HELP!! Rick uses this exponential expression to determine what the value of his bank account will be in three years. Select the value in the expression that represents the number of times per year that interest is compounded on the account.
5,000(1+0.04/12)^12t
Answers
Answer:
12
Step-by-step explanation:
A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.
Answer:
12
Step-by-step explanation:
Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )
Answers
Answer:
Answer: upstream: 5.2= (x-y) 5
Downstream: 5.2= (x+y) 2.5
Step-by-step explanation:
The equations for upstream and downstream motion for time [t] seconds are -
5.2 = (x - y) t
AND
5.2 = (x - y) t
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following problem -
Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )
We can write the equations for upstream and downstream motion for time [t] seconds as -
Upstream - (Opposing motion)
5.2 = (x - y) t
Downstream - (Supporting motion)
5.2= (x + y) (t/2)
Therefore, the equations for upstream and downstream motion for time [t] seconds are -
5.2 = (x - y) t
AND
5.2 = (x - y) t
To solve more questions on system of equations , visit the link below-
https://brainly.com/question/16308797
#SPJ2
Which formula gives the zeros of y = sin(x)?
O pi for any positive integer k
0 pi for any integer k
Kpi
2 for any positive integer k
O
kpi
2 for any integer k
Answers
Pls mark brainliest,thankyou.
Answer:
b
Step-by-step explanation:
Your history teachers is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is a total of 40 questions on the assessment, how many questions are worth 2 points?
Answers
Answer:
28
Step-by-step explanation:
x = 2 point questions, y = 3 point questions
x + y = 40
2x + 3y = 92
Solving this we get x = 28, y = 12 so the answer is 28.
Answer: 28
Step-by-step explanation:
Let x be the number of 2 mark questions
Let y be the number of 3 mark questions
x+y=40. ---------------(1)
2x+3y=92 ---------------(2)
Solve equation (1) for y
y=40−x
Substitute
y=40−x in equation (2)
2x+3(40−x)=92
2x+120−3x=92
2x−3x=92−120
−x=−28
x=28
Substitute
x=28 in equation (1)
28+y=40
y=40−28=12
Number of 2 mark questions
=28
Number of 3 mark questions
=12
Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music folders for all of the members. Each music folder costs $7.99. If Mr. Singer buys 23 music folders, how much does he spend? (Please enter your answer without units.)
Answers
Answer:
the answer is 183.77
Step-by-step explanation:
if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.
PLZ PLZ PLZ PLZ HELP HELP HELP HELPFind the area of the shape.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answers
Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2[/tex], where r is the radius. In this circle, the area would therefore be [tex]3.14\cdot 2^2=12.56[/tex]. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!
Answer:
π
Step-by-step explanation:
calculate the the full circle: A = π*[tex]r^{2}[/tex] = π*[tex]2^{2}[/tex] = π*4 (the area of the full circle)
you've got 1/4 or the circle according to the picture, so divide the area of the full circle with 4:
(π*4)/4 = π
work out the circumference of the circle when the radius is 6mm and give the answer in terms of pie.
Answers
_______________________________
Hey!!
Solution,
Radius(r)= 6 mm
Circumference of circle=?
Now,
Circumference of circle=2 pie r
=2*pi*6
=12 pie
So the answer is 12 pie.
Hope it helps...
Good luck on your assignment
______________________________
The circumference of the circle is 12[tex]\pi[/tex] mm.
What is circumference of circle ?
The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.
What is the formula of circumference of circle ?Let, radius of the circle be r
Then, Circumference of circle = [tex]2\pi r[/tex] unit
What is the value of required circumference ?Given, The radius is 6 mm
∴ Circumference of the circle = [tex]2\pi r[/tex]
= ([tex]2\pi[/tex]× 6) mm
= 12[tex]\pi[/tex] mm
Hence, Circumference of the circle = 12[tex]\pi[/tex] mm
Learn more about circumference of circle here :
https://brainly.com/question/164719
#SPJ2
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer & Step-by-step explanation:
In the problem, we are given an equation. h(t) = -20 + 11t
In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.
t = 11
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
So, h(11) is equal to 101
Answer:
101
Step-by-step explanation:
h(t)= -20+11t
h(11)= -20+11(11)
h(11)= -20+121
h(11) = 101
A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.
What is the slope of the line shown in the graph ?
Answers
Answer:
A. -400Step-by-step explanation:
Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;
slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0
slope = [tex]\frac{0-4000}{10-0}[/tex]
[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]
The slope of the line is a negative slope and it is -400
Answer: A. -400
Step-by-step explanation:
just had this and got in correct
Please HELP! WILL GIVE BRAINLIEST IF IT PROMPTS ME!
Ahhhh Im losing so many points
Answers
Answer:
reflect over line b
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
reflecting over b will put it in the same place bc b goes down the middle of the rectangle
if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal
Answer:
I would check:
reflect over line b and check
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.
If you rotate 180, then you will get the exact same shape just upsides down.
Thanks and please give brainliest have a nice day :)