Answer: 50 degrees
Step-by-step explanation:
This is actually quite simple using the exterior angle theory
"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"
In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables
120=70+x
120-70=x
Angle x = 50 degrees
Find the value of f(5) for the function. f(a)=7(a+4)− 5
Answer:
58
Step-by-step explanation:
plug f(5)
7(5+4)-5
7(9)-5
=63-5
=58
A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.
Answer: The answer is 189 ft.
Help please and thank you
Answer:
(a) P = 3000·1.15^t
(b) 12,137
Step-by-step explanation:
(a)The equation gets filled in so it looks like ...
P = (initial amount) × (1 +growth rate)^t
where t is in units compatible with the growth rate.
P = 3000·1.15^t
__
(b)Midnight is 10 hours later than 2 p.m., so the quantity will be ...
P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137
There will be 12,137 bacteria at midnight.
Please answer both please please I’ll give brainly
Answer:
4. 9
5. 5x
Step-by-step explanation:
its an isocoles
Find sum of arithmetic series where a1 = 7, n=31, nth a =127
Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]
Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Anthony wants to get a new TV. He has been working hard as a busboy at the local restaurant and wants
to treat himself to something nice. Today is his lucky day as he finds a 60" TV in stock that he has been
looking for. Unfortunately, it costs $700, and he does not have enough money saved up in order to buy it.
He recently received a credit card and is trying to decide what to do. Should he keep saving money buy it
The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.
The correct responses are;
1. The final price of the TV is $791.62. Anthony has to work for 70 hours to save enough money to buy the TV3. The number of extra hours of work bussing tables when using his credit card is approximately 9.16 hours.Reasons:
The price of the TV, P = $700
The interest rate is r = 18%
The monthly payment, M = $50
Monthly payment formula is given as follows;
[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]
The time it will take to pay using the credit card is therefore;
[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]
Which gives;
50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ
Solving for n gives;
[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]
It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.
1. The final price of the TV = $50 × 15.832 ≈ $791.6
2. The number of hours of work, t, is given as follows;
[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]
Anthony has to work for 70 hours to save enough money to purchase the TV.
3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card
The interest amount on the card = $791.6 - $700 = $91.6
[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]
Anthony has to work for extra 9.16 hours bussing tables using his credit card.
Learn more about payment on loan here:
https://brainly.com/question/13522402
Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.
Answer:
25 %
Step-by-step explanation:
Error = (actual - predicted) / (predicted)
= (250-200) / 200
= 50 / 200
= 0.25
multiply by 100 to conver to a percent
25 %
A computer processes information in nanoseconds. A nanosecond is one-billionth of a second. Write this number as a decimal.
Answer:
0.000000001
Step-by-step explanation:
Let's convert this :
0.000000001
tHT M B
t=tenths
H=Hundredths
T=Thousandths
M=millionths
B=Billionths
Please help/
Solve the following:-
1+4x/6=3.5
#5: Consider the expression below. Which of the following numbers are coefficients? Select all that apply.
9x2 + 5x – 8 + 3x2
A. 9
B. 5
C. 8
D. -8
E. 3
Answer:
B
Step-by-step explanation:
the 5 in 5X.
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12. 8 meters, the lengths of J N and N L are 3. 7 meters, and the lengths of K M and M L are 5. 9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4. 4m MN = ML.
The true statements are: M is the midpoint of line segment KJ and N is the midpoint of line segment JL
The given parameters are:
[tex]KJ = 12.8m[/tex]
[tex]JL = 7.4m[/tex]
[tex]KL = 11.8m[/tex]
From the figure (see attachment), we have the following highlights
Either sides of point M on line segment KL is 5.9 metersEither sides of point N on line segment JL is 3.7 metersThe midpoint of a line segment divides the line segment into equal halves.
Read more about midpoints at:
https://brainly.com/question/4363233
Answer:
Correct answer is A & B on edge
Step-by-step explanation:
Which expression is equivalent to 24x+18y
A- 6 (4x) + 3 (6y)
B- 2 (12x) + 2 (6y)
C- 12x+ 12x + 12y+ 12y
D-6y + 6x + 6y + 6x + 6y
Answer:
A- 6 (4x) + 3 (6y)
Step-by-step explanation:
6 (4x) + 3 (6y) equals 24x+18y
Plz answer ASAP. Find the volume of the same shape
Answer: 17m+19
Step-by-step explanation:
22/7 x 1.4
Plz explain this step by step
Answer:
22/5 (or) 4.4
Step-by-step explanation:
22/7 × 1.4
=22/7 × 1.4/1 <-- to change the decimal into a fraction multiply it with ×10 so the numerator 1.4 will become 14 and the denominator 1 will be 10
=22/7 × 14/10 <-- now you can cancel out as usual
=22/5 (or) 4.4
There are 3 yellow, 3 green, and 3 red pens in a jar. Each day Michelle selects a pen without looking, uses the pen, and then replaces it in the jar. Over 14 days she selects a red pen 6 times. Compare the theoretical and experimental probabilities of this experiment.
(Hint: Calculate the theoretical probability and experimental probability
separately)
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 4/7x
Step-by-step explanation:
(0,0)
(7,4)
up 4 right 7
4/7
y = 4/7x
Answer:
y = 4/7 x
Step-by-step explanation:
using rise/run = slope
rise = 4
run= 7
4/7 = slope
A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-
Answer:
The posted photo says the slope is -(3/4). I'll use that, instead of -2 as written in the question.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
With a slope of -(3/4), we can write: y = -(3/4)x + b.
To find b, use the given point (4,-6):
y = -(3/4)x + b
-6 = -(3/4)(4) + b for (4,-6)
-6 = -3 + b
b = -3
The line is y = -(3/4)x - 3
The first option.
Can no one really help me? I've posted a question worth 50 points and people who are just in it for the points keep responding...I need help this is literally very important to my grade and no one is helping me please help
Answer:
repost so i can see
Step-by-step explanation:
repost so i can seee
Answer:
wheres the answer???
Step-by-step explanation:
cant find the answer thats all
PLEASE HELP QUESTION IN PICTURE. (15 POINTS)
2+2+9+9+9+9+7+7+6-8-6+7+8+9+8+9+0+9+8+9
Answer:
The answer is 113.
Answer:
141
Step-by-step explanation:
There are 8 nines: 9×8=72
There are 3 sevens: 7×3=21
There are 4 eights: 8×4=32
6×2=12
2×2=4
All together you get
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer:
361/900
Step-by-step explanation:
[tex]\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}[/tex]
Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.
Answer:
54 - (2n)
Step-by-step explanation:
First you take 54
Then its says to “decrease (said number: 54) by twice a number”
Decrease meaning “take away/remove”.
So you subtract 54 by 2 —> 54 - 2
But then, the important line comes along, “Use the variable n to represent the unknown number.
This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.
So your answer is —> 54 - (2n)
Answer:
54 - 2n
Step-by-step explanation:
54 - 2n
Translate the sentence into an equation
Five less than the product of 3 and a number equals 7
Use the variable b for the unknown number
Answer:
5-3x=7
Step-by-step explanation:
A. A cylindrical barrel has diameter 14 m and height 9 m. Find the cost of painting the inner side of the barrel at 132 per m? (Take = 3.14.)
Answer:
Here is your Answer
Step-by-step explanation:
DIAMETER = 14 M
RADIUS = DIAMETER ×0.5
RADIUS = 14÷0.5 = 7
HEIGHT = 9M
AREA OF CYLINDER = 2pi*R* H
AREA = (2× 3.14×7×9) M^2
AREA =395.64 M^2
COST FOR AREA M^2 = ₹ 32
COST FOR AREA 395.64 =₹(395.64×32)
SO, ANSWERS= ₹ 12660.48
Plz Mark Me As Brainiest
Answer:
$ 12660.5
Step-by-step explanation:
We know that
Radius = Diameter/2
Radius = 14/2 = 7 m
Now,
CSA of cylinder = 2πrh
=> 2 × 3.14 × 7 × 9
=> 395.6 m²
Now,
Cost = 395.6 × 132
=> $ 12660.5
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 5/4x
Step-by-step explanation:
To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.
So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.
Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)
Answer:
Step-by-step explanation:
y = 15
x = 12
The y intercept is zero so the slope is simply
m = y /x
m = 15/12
m = 5/4
The equation is
y = 5/4
2
Diego has a skateboard, scooter, bike, and go-cart. He wants to know which vehicle is the fastest. A friend records how far Diego travels on each vehicle in 5 seconds. For each vehicle, Diego travels as fast as he can along a straight, level path.
Answer:
Are there any numbers?
Step-by-step explanation:
. . . .. . . .. . . .. so easy
Answer:
i aint smart but im a the last one 4/8
Answer:
The answer is 4/8.
Step-by-step explanation:
Because 4 is half of 8 while the others are either 1 more or 1 less then half or just don't make half at all. So the only answer here that makes sense is 4/8
(pls do tell me if I'm wrong)
what is the next term in the number pattern? 77, 64, 53, 44, 37
Answer:
32
...when you subtract five from 37
It is a pattern that goes:
-13
-11
-9
-7
and now -5 = 32
The prices of some houses in a neighborhood are shown below: House Price A $120,000 B $130,000 C $140,000 D $150,000 E $1,110,000 Based on the data, should the mean or the median be used to make an inference about the price of the houses in the neighborhood?
Answer:
The mean
Step-by-step explanation:
The mean would allow you to make an average aka the inference about the price of houses whilst if you take the median, you're just taking the middle number from a list of numbers and not the average.
Answer: Median
Step-by-step explanation:
Median, because there is an outlier that affects the mean.
Step-by-step explanation:
The outlier is 1,110,000
As you have learned in the lesson, outliers affect means, meaning that you should not use them.
Hope this helped! ❤