There is a formula for the total interior angles of a polygon:
180(sides−2)=total interior angles
One of the angles is 100 and all the others are 110.
We can rewrite the equation.
Assume there is x number of sides.
There are x−1 number of angles, 110 degrees
180(x−2)=100+110(x−1)
180x−360=100+110x−110
70x−360=100−110
70x−360=−10
70x=3507x=35
x=5
There are 5 sides to the polygon.
We can check our answer:
180(sides−2)=total interior angles
Therefore it is true:
The polygon has 5 sides
I HOPE IT HELPS
HAVE A GREAT DAY
#Liliflim
Which of the following statements is true?
A.
m is parallel to /.
B.
/ and m bisect each other.
C.
The distance from A to A' equals the distance from A to m.
D.
m bisects /.
22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.
Answer:
Step-by-step explanation:
A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
Write three solutions for the inequality 13 - 8X < -11
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
PLEASE HELPP!!
f(x) = 3x2 + 5x – 2
g(x) = 5x3 – 4x2 + 4
Find (f +g)(2)
O A. (f +g)(x) = 5x + 3x2 + x + 2
B. (f +g)(x) = 8x3 + x + 2
O c. (f +g)(x) = 523 – 2? + 5x + 2
O D. (f +g)(x) = -52% + 7x2 + 5x – 6
Answer:
C. (f+g)(x) = 5x^3 - x^2 + 5x + 2
Step-by-step explanation:
Combine like terms:
5x^3 + 0 = 5x^3
-4x^2 + 3x^2 = -x^2
5x + 0 = 5x
4 - 2 = 2
5x^3 - x^2 + 5x + 2
You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
1. What is the finance charge?
2. What is your monthly payment?
* Please explain how you got the answer*
9514 1404 393
Answer:
$304$91.83Step-by-step explanation:
1. The finance charge is found from the simple interest formula;
I = Prt
where P is the principal amount, r is the annual rate, and t is the number of years.
24 months is 2 years, so the interest charged is ...
I = $1900×0.08×2 = $304
The finance charge is $304.
__
2. The monthly payment will be the total amount due, divided by the number of months.
payment = ($1900 +304)/24 = $2204/24 ≈ $91.83
The monthly payment is $91.83.
The sine of 30 degrees is 1/2. What is the cosine of 60 degrees?
Answer:
Sine (30°) = cosine(90-30) = cos(60°) = 1/2
Step-by-step explanation:
The value of the [tex]cos 60^0[/tex] is [tex]\dfrac{1}{2}[/tex].
Recall the relationship between the sine and cosine[tex]cos^2\theta= 1-sin^2\theta\\cos 2\theta = cos^2\theta - sin^2\theta[/tex]
How to find the cosine values?Given the value of [tex]sin30^0[/tex] is [tex]\dfrac{1}{2}[/tex].
Use the relation between the sine and cosine as-
[tex]\cos^230^0=1-\sin^230^0\\=1-\dfrac{1}{4}\\=\dfrac{3}{4}\\[/tex]
Use another relation [tex]\cos 2\theta = \cos^2\theta -\sin^2\theta[/tex] as-
[tex]\cos(2\times 30^0)=\cos^2{30^0}-\sin^2{30^0}\\=\dfrac{3}{4}-\dfrac{1}{4}\\=\dfrac{1}{2}[/tex]
Hence, [tex]\cos 60^0[/tex] is value is [tex]\dfrac{1}{2}[/tex].
Learn more about trigonometric functions here-
https://brainly.com/question/6904750
#SPJ2
Find the slope in each line
To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour
Answer:
30ml of yellow
18ml of red
Step-by-step explanation:
5x6=30
3×6=18
Answer:
Step-by-step explanation:
a color
. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *
Answer:
x= -4
y= -8
This will be the solution
Find the value of x and the value of y.
Answer:
[tex]x=7,\\y=4\sqrt{2}[/tex]
Step-by-step explanation:
Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.
The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:
[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]
The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:
[tex]x=4+3=\boxed{7}[/tex]
whats the formula for volume
Answer:
Volume for cube: L x W x H
L= Length, W= width, H=height
3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.
The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour
Answer:
d.
Step-by-step explanation:
No, because a more appropriate technique can be used to control the behaviour
6.2704 x 10v4 in standard form
Answer:
62704
Step-by-step explanation:
Given 6.2704 x 10^4
To convert to standard form:
6.2704 * 10^4
10^4 = 10*10*10*10 = 10000
6.2704 * 10000 = 62704
Hence, 6.2704 x 10^4 = 62704 in standard form
At the grocery store near Josie's home, Cheerios cost 99 cents per box. The cost of a box of Tasteeos is only 5/9 of the cost of a box of Cheerios. How many cents will Josie have to pay for one box of Tasteeos cereal?
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?
Answer:
The surface area of the prism is equal to 72 sq inches.
Step-by-step explanation:
Given that,
A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2 inches.
The surface area of a rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Put all the values,
[tex]A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2[/tex]
So, the surface area of the prism is equal to 72 sq inches.
Match the base to the corresponding height. Base (b) Height (h) h h b b h
pls help me
Answer:2 b
Step-by-step explanation:3 h
Answer:
thats your answer
Step-by-step explanation:
ACTIVITY
Jump to level 1
Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los
vende a 4 € el kilo. ¿ Cuánto ha ganado?
Step-by-step explanation:
165kg=330$
150*4=600$
600-330=270
espero te ayude :D
Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.
Which statement is true regarding triangle TUV?
Angle T is the smallest angle.
Angle V is the smallest angle.
Angles U and V must be equal.
Angles U and T must be equal.
.
9514 1404 393
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.
The shortest side name is TU. The smallest angle is not T or U; it is V.
Angle V is the smallest angle
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
can someone help me please?! I'll give brainlest for correct answer
Answer:
MBE, REU, XBy, XEW, BER is an acute angle
WRU, RUm, XBM is an obtuse angle
RU, XE, Mm, ME, MU, WE, XB, MB, My is a straight angle
BM, BE, BX, By is an angle of vertex B.
I don’t know (for e)
BER: REB
I don’t know (for g)
EBy and XBM are two supplementary angles.
Step-by-step explanation:
Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
how do I
graph y+2= - 5/7 (x+6)
HELP. Been wasting points because of trolls.
If another troll appears then I dont know npw maybe just end this sh t and I dont have friends too so I cant copy from anyone.
Answer:
A = 26.6°
Step-by-step explanation:
To obtain the measure of angle A :
We use the trigonometric relation :
Tan A = opposite / Adjacent
Tan A = 6 / 12
Tan A = 1/2
A = tan^-1(1/2)
A = 26.565°
A = 26.6°
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?
Answer:
The dimensions are four by two by two meters.
Step-by-step explanation:
The volume for a rectangular prism is given by:
[tex]V=\ell wh[/tex]
Where l is the length (or depth), w is the width, and h is the height.
Since the height and width are both two meters less than the depth, we can write that:
[tex]h=\ell -2\text{ and } w = \ell -2[/tex]
We are also given that the total volume is 16 cubic meters. Substitute:
[tex]16=\ell(\ell -2)(\ell -2)[/tex]
Expand:
[tex]16=\ell(\ell^2 -4\ell +4)[/tex]
Distribute:
[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]
Isolate the equation. So:
[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]
We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:
[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]
Factor:
[tex](\ell ^2+4)(\ell -4)=0[/tex]
Zero Product Property:
[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]
Solve for each case:
[tex]\ell^2=-4\text{ or } \ell =4[/tex]
Since we cannot take the square root of a negative number, we can ignore the first case.
Therefore, the length (or depth) of the storage space is four meters.
Thus, the dimensions are four by two by two meters.
Help me please I don't have much time
5+p=10 what does p equal
Answer:
p=5
Step-by-step explanation:
5+p=10
Hence, p=10-5
=5
Answer:
5
Step-by-step explanation:
1. Move the constant to the right- hand side and change its sign.
p=10-5
2. Subtract the numbers
p=10-5
the answer is 5
what is the degree of the polynomial x² - 5x + 2
Answer
2
Step-by-step explanation:
x^2-5x+2,
the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2
Please help!
Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions? O A. 0.032 . B. 0.072 O C. 0.095 O D. 0.055 SUBMIT
Answer:
[tex]\text{A. 0.032}[/tex]
Step-by-step explanation:
Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.
Formula:
[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.
What we're given:
[tex]P[/tex] of 0.1[tex]n[/tex] of 90Substituting given values, we get:
[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]
Hello! I was wondering if anyone can help me out on this question?
Function 1 is defined by the following table.
r: 0, 4, 5, 7
y: -3.5, -1.5 -1, 0
Function 2 is defined by line q (see attached image)
Which of these functions has a greater slope?
A. Function 1
B. Function 2
C. The functions have the same slope
Answer:
Function 2
Step-by-step explanation:
Function 2 or line q would have a greater slope
Please mark as brainliest answer