Answers
Answer:
Triangle
sum of interior = 180
one interior = 60
all triangles will have a sum of 180
and since there are only three angles in a triangle that means 180/3 = 60 degrees will be in one angle.
Related Questions
how many 2 digit combos can you make with numbers 1, 2, and 3?
Answers
Answer:
9 i believe
Step-by-step explanation:
11
12
13
21
22
23
31
32
33
Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC
Answers
According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]
[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC
= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]
Learn more about midsegment theorem of a triangle here:
https://brainly.com/question/7423948
Find the exact value of sin 29π/6
Group of answer choices
a 3/4
b 1/2
c -3/5
d 0
Answers
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
And it’s b. 1/2
What is the slope of the line containing the points (-6,4) and (2,1)
Answers
The slope is -3/8.
A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.
Answers
Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
The two triangle shown below are similar triangles.
What is the value of d in meters?
Answers
Use traditional division to solve 6432 ÷ 24.
Answers
Answer:
(not my answer but) its 268
Step-by-step explanation:
Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.
What is the length of 1,000 of these molecules?
Answers
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answers
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
Find out more on equation at: https://brainly.com/question/2972832
You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answers
Answer:
$4,750
Step-by-step explanation:
Answer:
3360
Step-by-step explanation:
1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360
what does the term ‘slope’ mean?
Answers
Answer:
noun
1.
a surface of which one end or side is at a higher level than another; a rising or falling surface.
Step-by-step explanation:
steepness
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)
step one: identify two points on the line
step two: select one to be (x1,y1) and the other to be (x2,y2)
step three: use the slope equation calulate slope
2x-3=8+7(+3)
2y-3(+3)=8x+7(+3)
2y=8x+10
----- --------
2y=8x+10
y=4x+5
Answer:
m=4
5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) Jim has to do to save $1200. Of the four combinations of car washed and bikes sold below, which does NOT result in $1200?(3, 79)(6, 78)(8, 76)(9, 77)
Answers
Answer:
(8, 76)
Step-by-step explanation:
what is the answer???
Answers
Answer:
[tex] \frac{65}{97} [/tex]
Cosine ∅ = adjacent ÷ hypotenuse
Rounded to the nearest hundredth the answer is 0.670.
We know
[tex]\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}}[/tex]
Now
[tex]\\ \sf\longmapsto cosU=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf\longmapsto cos U=\dfrac{65}{97}[/tex]
[tex]\\ \sf\longmapsto cosU=0.67[/tex]
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answers
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
Pls answer me this (WILL MARK BRAINLIEST)
Answers
Answer:
a=3 b= -40
Step-by-step explanation:
.....
Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?
Answers
make r the subject of the formula
Answers
Answer:
r=[tex]\frac{3t}{t-1}[/tex]
Step-by-step explanation:
t(r-3)=r
tr-3t=r
tr-r=3t
r(t-1)=3t
r=[tex]\frac{3t}{t-1}[/tex]
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.
Answers
The number 1000 represents the amount of trash originally in the landfill.
Given that,
The same amount of trash is dumped into a landfill every day.
The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
We have to determine,
What does the number 1,000 represent?
According to the equation,
The function is,
n = 2000x + 1000
The initial value of a function is defined as the started value of the function independent of any variables present in the function.
Here, n represent the amount of trash and x represents the number of days.
Therefore,
n = 2000x + 1000
In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.
Hence, The number 1000 represents the amount of trash originally in the landfill.
For more information about Equation refer to the link given below.
https://brainly.com/question/7383794
The correct answer would be A, the amount originally in the landfill.
When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.
Answers
Using the z-distribution, it is found that the p-value is of 1.
At the null hypothesis, it is tested that the majority is not against the death penalty, that is:
[tex]H_0: p \neq 0.5[/tex]
At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:
[tex]H_1: p > 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]
[tex]z = -10.19[/tex]
Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.
A similar problem is given at https://brainly.com/question/16313918
please answer quickly!!
Answers
Answer:
Slope: 4
Intercept: 9
Step-by-step explanation:
Hope this helped! :)
function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16
Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.
B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.
C.They have the same y-intercept and the same end behavior as x approaches infinity.
D.They have the same x-intercept but different end behavior as x approaches infinity
Answers
Answer:
D. They have the same x-intercept but different end behavior as x approaches infinity
Step-by-step explanation:
A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.
a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length
Answers
Step-by-step explanation:
the answer thats it 12,4
Answer:
12.4 meters
Step-by-step explanation:
The area is the product of length and width. Fill in the given information in the formula and solve for length.
A = LW
198.4 = L×16
198.4/16 = L = 12.4
The length of the patio is 12.4 meters.
The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.
Answers
Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!
Answers
Answer:
its 6 square feet
s = 1
1^2 = 1
6 x 1 = 6
a=5 and b=-5 , 2ab-a^(2)
Answers
Answer:
Step-by-step explanation:
2(5)(-5)-(5)^2
=−75
The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?
Answers
Answer:
a. What angle of rotation maps Ponto P?
30.25 degrees
b. What are the x and y coordinates of P to the nearest thousandth?
(83.3, 33.3)
c. What translation rule maps P onto P?
Rotation
100 Point question answered ASAP for brainliest!
Answers
Step-by-step explanation:
that is really easy too easy for that many points.
it is truly simple :
the graph (and with it the function) is shifted down by 3 units.
that means everything of the function stays the same, just the functional results are consistently lowered by 3.
so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10
that is really all there is to it.
please help me Im lost on this :(
Answers
Answer:
C
Step-by-step explanation:
the quadratic formula is
[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]
Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.
Answer: C) 3x^2+8x-10=-8
Step-by-step explanation:
3x^2+8x-10x=-8
3x^2+8x-2=0
a=3 b=8 c=-2
Plug it into quadratic formula.
(2x-3)(x+5)-(x-6)(x+5)=0
Answers
That’s would be the answer
can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?
Answers
Answer:
[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
Step-by-step explanation:
[tex]128m^2n^5-200m^4n^3[/tex] <-- Given
[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²
[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³
[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8
[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares
Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]