Answer:
Angle 1= 54°
Angle 2= 144°
Angle 3 = 126°
Angle 4 = 36°
Step-by-step explanation:
We are given measures of the angles of a quadrilateral are 3:8:7:2
Let the common ratio = x
The angles will be:
Angle 1= 3x,
Angle 2= 8x,
Angle 3 =7x
Angle 4 =2x
We know that sum of all angles of quadrilateral = 360°
We can write as: [tex]3x+8x+7x+2x=360[/tex]
Solving to find x,
[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]
We get value of x = 18
Now, finding angles:
Angle 1= 3x = 3(18) = 54°
Angle 2= 8x = 8(18) = 144°
Angle 3 =7x = 7(18) = 126°
Angle 4 =2x = 2(18) = 36°
given s=3x+t/r, rearrange the equation for x, in terms of r,s, and t
9514 1404 393
Answer:
x = (rs -t)/(3r)
Step-by-step explanation:
[tex]s=3x+\dfrac{t}{r}\\\\s-\dfrac{t}{r}=3x\\\\\dfrac{rs-t}{3r}=x\\\\\boxed{x=\dfrac{rs-t}{3r}}[/tex]
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.
Which of the following best describes the method used by the principal?
It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.
Answer: It's an unfair method because two or more students could get the same results./ D
Step-by-step explanation: hope this helps
Answer:
B. It's a fair method because each result is an equally likely possible outcome.
Step-by-step-explanation :
According to the question , there are a total of 6 students to be selected by the principal.
So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.
Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]
The probability that a student will choose one number :[tex]\frac{1}{36}[/tex]
Thus, the selection of each student is given by the number
[tex]\frac{1}{36}[/tex]
So,each result is an equally likely possible outcome.
So, the principal choose a fair method.
Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7
(1) 2x + 3y = 31 y
(2) 2x + 3y = x + 7
(3) 31y = x + 7
(3) x = 31y - 7
(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17
(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17
x = 98/17 ≈ 5.76
y = 7/17 ≈ 0.41
which is greater 0.25 or 0.04
Answer:
0.25
Step-by-step explanation:
ez
Answer:
.25
Step-by-step explanation:
u= a-k-b solve for a
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
Susan is buying juice for a party. She wants to buy as many bottles of juice as possible, but she only has $10.00 to spend. If each bottle of juice costs $1.35, how can Susan calculate the number of bottles that she can buy?
A.Divide $10.00 by $1.35, and round the quotient down to the nearest whole number.
B.Divide $10.00 by $1.35, and round the quotient up to the nearest whole number.
C.Divide $1.35 by $10.00, and round the quotient down to the nearest whole number.
D.Subtract $1.35 from $10.00, and round the difference down to the nearest whole number.
GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
A because $10 needed to be divided by $1.35 and and the rounding is needed to get the answer
which of the following inequalities matches the graph?
Which of the following are not polynomials?
Answer:
A
C
and
D
Step-by-step explanation:
Please help me out!!!
Answer:
Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
Step-by-step explanation:
We are given [tex]f(x)=2x-6[/tex]
We need to match the transformations.
1) shifts f(x) 4 units down.
When function f(x) shifts k units down the new function becomes f(x)-k
In our case
[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]
So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
2) Stretches f(x) by a factor of 4 away from x-axis
When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)
[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]
So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
3) Shifts f(x) 4 units right
When function f(x) shifts h units right the new function becomes f(x-h)
[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]
So, Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
4) Compress f(x) by a factor of 1/4 toward the y-axis
When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)
[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
(Option Not given)
(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)
Figure out the probability below (ONLY REAL ANSWERS PLEASE)
Answer:
2/35
Step-by-step explanation:
fifteen total, 4 live in Gaston
so
4/15 times 3/14
because there is only 14 left to be selected and 3 left in Gaston
so 0.05714285714
or 2/35
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
if 1.24×0.94 correct to 2 significant
Answer:yes
Step-by-step explanation:yes
I need help ASAP
A manufacturer can produce 1 plastic bowl in 1 minute
Which graph models a relationship with the same unit rate
Answer:
The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.
The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A manufacturer can produce 1 plastic bowl in 1 minute
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the data given the equation can be framed:
The proportional relationship will be:
y ∝ x
y = kx
x = 1 y = 1
k = 1
y = x
Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ5
Applications of Quadratic Functions. Please help! Ignore C. I keep getting imaginary numbers. Am I supposed to get imaginary numbers? 9 points!
Answer:
Step-by-step explanation:
1.
a)
Find the vertex by completing the square to answer both a and b
d)
x-ints is when y=0
so use quadratic equation for
b^2-20b+200=0
a=1
b= -20
c=200
But notice these imaginary numbers means 0 x intercepts.
Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.
Answer:
48 minutes
Step-by-step explanation:
2h = 110 miles
1h = 110 ÷ 2
= 55 miles
Therefore, the speed of the entire journey is 55 miles per hour.
1h = 60 minutes
55 miles = 1h
55 miles = 60 minutes
44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes
= 48 minutes
___% of $6,000 = $5,400
Pls tell me how to do this
Answer:
45
Step-by-step explanation:
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Answer:
90%
Step-by-step explanation:
1. We assume, that the number 5400 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5400, so we can write it down as 100%=5400.
4. We know, that x% equals 6000 of the output value, so we can write it down as x%=6000.
5. Now we have two simple equations:
1) 100%=5400
2) x%=6000
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5400/6000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 6000 is what percent of 5400
What would this question look like after we change the mixed number to improper & use KCF to rewrite the question?
h) 3 1/2 divided by 1/3 =
A) 7/2 x 1/3
B) 7/2 x 3/1
C) 6/2 x 1/3
D) 7x3
Hurry !!
Answer:
The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to change the mixed number to improper & use KCF to rewrite the question.
The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]
First converting mixed fraction into improper fraction
Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2
Solving:
[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]
Using KCF
KCF stands fro Keep it, Change it, Flip it.
It is used when division sign is converted to multiplication the term (1/3) is reversed to (3/1)
So, our expression will be
[tex]=\frac{7}{2}\times \frac{3}{1}[/tex]
So, The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
write a paragraph about what the Hawthorne Studies tells us about workers and what happens when they are being observed and why that is important
Answer:
is important because yo understand more with paragraph
Step-by-step explanation:
It’s not 4 feet of snow that is 60% of snow that will fall. how much snow will fall??
Answer:
60% of snow
Step-by-step explanation:
Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior
Answer:
they are alternate interior angles my guy.
We can conclude from the figure that angles 2 and 3 are same side interior
Trigonometry identityFrom the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.
The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior anglesFrom the diagram, we can conclude that angles 2 and 3 are same side interior
Learn more on interior angles here; https://brainly.com/question/7888180
Solve for x. Round to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
30^2+15^2=1314
square root of 1314 is equal to 36.249
rounded to nearest tenth: 36.2
Given f(x) = -8 + 1, find f(5)
Answer:
im guessing its actually -8x +1, so
-8 (5) +1
-40 +1
-39
Wendy stops running
A.Speed
B.Velocity
C.Acceleration
Answer:
i think is c tell me if im right
1. Classify the triangle shown to the right.
A. Right, Scalene
B. Acute, Isosceles
97
C. Obtuse, Scalene
13°
70
D. Equiangular, Equilateral
answer correctly!!!!
Answer:
Y= 0
Step-by-step explanation:
Because y=4 it would be a straight horizontal line so the other line would have to be horizontal
PLS HELP!!! I am gonna fail
Answer:
Help with what? You didn't post anything.
Step-by-step explanation:
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answer:
750
Step-by-step explanation:
brainliest please
Answer: positive
Step-by-step explanation:
two negatives equals a positive
Write the equation of the line in point-slope, slope-intercept, and standard form.
38. Line passing through points (-4, 2) and (0,3)