Responder:
suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
Explicación paso a paso:
Un heptágono es un polígono de 7 lados:
Para cualquier polígono con n lados:
El ángulo exterior del polígono suma 360 °
Por lo tanto, la medida de cada ángulo central de un heptágono es:
Suma de ángulos exteriores / número de lados
360 ° ÷ 7
= 51,43 °
El ángulo interior de un polígono se obtiene mediante la relación:
(n - 2) 180 °
Heptágono tiene 7 lados:
(7 - 2) 180 °
5 (180 °)
= 900 °
Por tanto, suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
I need help with this
Please someone help me !!! Thanks
Answer:
hard to read, can you take another picture please?
Step-by-step explanation:
Gina has been offered a job as a dog walker. Each week Gina works, she gets a flat amount of $10, plus an additional $5 per dog walked. Gina's goal is to earn at least $75 each week. Which inequality can be used to find the number of dogs Gina must walk in a week in order to reach her goal?
Answer:
13
Step-by-step explanation:
Given data
flat amount =$10
let the number of dogs walked be x
and let the money earned be y
y= 10+5x
for y= 75
let us find x
75= 10+5x
75-10= 5x
65= 5x
divide both sides by 5
x= 65/5
x=13
Hence the number of dogs is 13
Solve 12x-5>-2 please
Answer:
[tex]x > \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]12x - 5 > - 2[/tex]
Lets add +5 in both the sides.
[tex] = > 12x - 5 + 5 > - 2 + 5[/tex]
[tex] = > 12x > 3[/tex]
Now lets divide 12 on both the sides.
[tex] = > \frac{12x}{12} > \frac{3}{12} [/tex]
[tex] = > x > \frac{1}{4} [/tex]
What is the area of triangle ABD?
Answer:
12 because u use the other shapes to reference your measurements.
the hypotenuse of a triangle is 17 yds long and leg one is 8yds long what is the length of leg two
Answer:
15
Step-by-step explanation:
8^2 + b^2 = 17^2
64 + b^2 = 289
289 - 64 = 225
square root of 225 = 15
Help me please im stuck
The vertex of the graph of g(x) = 3|x| + 4 is
Please help me with this
Answer:
i cant help you with this sorry
Step-by-step explanation:
what's the value of x with 125° and 31°
Simplify the expression (-6+3i)+(6+4i)
Answer:
7iExplanation:
(-6 + 3i) + (6 + 4i)
-6 + 6 = 0
3i + 4i = 7i
7iHow many solutions are there to the equation below?
12x + 6 = 5x
O A. Infinitely many
B. 1
C. O
BMIT
8 = 3a – 4
what is value of a ?
Answer:
a=4
Step-by-step explanation:
8=3a-4
12=3a
a=4
do i add 40 + 45? Or multiply
Answer:
you add 40+45
Step-by-step explanation:
40+45=85
then you subtract 180 - 85 = 95
then divide x into 95 that will give you x=95
Simply 5 sin theta sec theta
Answer:
d 5 tan theta
Step-by-step explanation:
5 sin theta x 1/cos theta
5 (sin theta/cos theta)
5 tan theta
6.) A homeowner must reduce the use of his home's electricity. The home
currently consumes 25.7 kwh (kilowatt hours) of electricity per day, and the
homeowner must reduce the use by 20%. How many kwh will he be
reducing his energy by?
Answer:
la eneria es muy importante
The boiling point of water is 212 degrees. To make a cup of tea, water is boiled, poured into a mug with tea leaves, and set to steep for 4 minutes. In that time, the temperature of the tea reduces to 115 degrees when it is in a room that is 68 degrees. Write an equation for the cooling curve of the tea in this particular room. Round parameters to the nearest 6th decimal place.
Answer:ugh is there an picture maybe i can understand it better?
Step-by-step explanation:
Guided Practice
Find the range of the function rule y = 5x – 2 for the domain.
{–1.2, 0, 4}
A.
{–8, –2, 18}
B.
{–4, 2, 22}
C.
{0.16, 0.4, 1.2}
Answer:
A. {–8, –2, 18}
Step-by-step explanation:
y = 5x − 2
x = −1.2 ----> y = 5(−1.2) − 2 = −6 − 2 = −8
x = 0 -----> y = 5(0) − 2 = 0 − 2 = −2
x = 4 -----> y = 5(4) − 2 = 20 − 2 = 18
Solve for x 6 = 2( x + 0)
Answer:
x = 3
Step-by-step explanation:
Answer: x = 3
Step-by-step explanation:
Esis inversely proportional to t.
When s = 0.8, t = 7
Work out t when s = 70
Answer:
t=0.08
Step-by-step explanation:
see attached kindly
Write the following while number as it’s English word equivalent
Answer:
eight hundred seventy-five thousand six hundred eighty-seven
hope this helps :)
what is the solution in ³√3-x=³√2x
Answer:
3√3−x=3√2x
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈0.46567646
image of graph
Step-by-step explanation:
Hope it is helpful.....
Evaluate using L'Hopital's rule:
[tex]\lim_{x \to 1^{+}} (x - 1)^{lnx}[/tex]
Answer:
[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)[/tex]
And we want to evaluate it using L'Hopital's Rule.
First, using direct substitution, we will acquire:
[tex]=(1-1)^\ln(1)}=0^0[/tex]
Which is indeterminate.
In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:
[tex]y=(x-1)^\ln(x)[/tex]
By taking the natural log of both sides:
[tex]\ln(y)=\ln(x)\ln(x-1)[/tex]
And by taking the limit as x approaches 1 from the right of both functions:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\lim_{x\to 1^+}\ln(x)\ln(x-1)[/tex]
Rewrite:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{\ln(x-1)}{\ln(x)^{-1}}[/tex]
Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}[/tex]
Simplify:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}\Big(\frac{-x\ln(x)^2}{-x\ln(x)^2}\Big)[/tex]
Simplify:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-\frac{x\ln(x)^2}{x-1}[/tex]
Now, by using direct substitution, we will acquire:
[tex]\displaystyle \Rightarrow -\frac{1\ln(1)^2}{1-1}=\frac{0}{0}[/tex]
Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-(\ln(x)^2+2x\ln(x))[/tex]
Finally, direct substitution yields:
[tex]\Rightarrow -(\ln(1)^2+2(1)\ln(1))=-(0+0)=0[/tex]
Thus:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=0[/tex]
By the Composite Function Property for limits:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\ln( \lim_{x\to 1^+}y)=0[/tex]
Raising both sides to e produces:
[tex]\displaystyle e^{\ln \lim_{x\to 1^+}y}=e^0[/tex]
Therefore:
[tex]\displaystyle \lim_{x\to 1^+}y=1[/tex]
Substitution:
[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]
How to find the line of reflection on a graph?
Answer:
can you show us the graph
9. Cal is buying T-shirts and shorts. T-shirts
cost $12 and shorts cost $25. He plans
on spending no more than $160 and
wants to buy at least 5 items.
a. Write a system of linear inequalities
that represents the situation.
b. Graph the inequalities.
Hey there!
Step By Step:
Well so we know that 12 is about half of an 25. So what we are gonna do is to buy 3 of 12$ and 2 of 25$.
3x12=36 and 2x25=50.
With adding those two last numbers, you’ll get $86.
Graph would be down below.
Hope it helps :D
- 6(x + 2) = 30
- 6(x + 2) = 30
- 6x + (- 12) = 30
The solution is -
Answer:
-7
Step-by-step explanation:
Please answer <3
❤️URGENT 20 EACH❤️ty
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
(NEED HELP, IMPORTANT)
Identify the function shown in this graph.
what is 7 divided by 10 as a fraction
The fractional form is 7/10.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
We have to divide 7 by 10.
The common factor for 7 and 10
7 = 7 x 1
and, 10= 2 x 5 x 1
so, there is only one factor common is 1.
Thus, the fraction is 7/10.
Learn more about Equivalent Fraction here:
https://brainly.com/question/29766013
#SPJ2