Answer:
12°
Step-by-step explanation:
The outer polygon is a hexagon and the inner polygon is a pentagon.
Let's start by finding the measure of an interior angle of the (regular) hexagon.
The sum of the measures in a polygon is:
(n-2)(180)
Where n represents the amount of sides in a figure therefore...
(6-2)(180)=4(180)=720
Then, we divide 720 by 6 (because there are 6 angles), to find the measure of one angle...
720/6=120
Next, find the measure of an interior angles of a (regular) pentagon.
(n-2)(180)=(5-2)(180)=3(180)=540
Divide 540 by 5 (there are 5 angles), to find the measure of one angle...
540/5=108
Now, subtract 120 by 108 to find a...
120-108=12
a=12°
A cooler has a 60-L capacity. Its internal length is 60 cm and its internal width is 35 cm. Determine the internal height and the internal surface area of the cooler.
Hint 1 cm^3=1 ml
Answer:
28.5714285714286 cm
Step-by-step explanation:
1 L = 1000 mL
1 L = 1000 cm^3
60 L = 60,000 cm^3 (multiply both sides by 60)
The cooler has volume of 60,000 cubic cm. Let V = 60000
Assuming the cooler is a rectangular prism (aka a block), then we can say
volume = length*width*height
V = L*W*H
60000 = 60*35*H
60000 = 2100H
2100H = 60000
H = 60000/2100
H = 28.5714285714286 which is approximate
And the surface area (SA) is
SA = 2*(LW + LH + WH)
SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)
SA = 9628.57142857143 which is also approximate
Units for the surface area are in square centimeters.
I'll Give Brainliest, In how many ways can you rearrange the letters in the word "COUNT," in order to get every possible outcome?
10
150
120
25
Answer:
120
Step-by-step explanation:
5 factorial
There are total 120 ways to arrange the letters of word "COUNT".
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Permutation Formula[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Where,
P is the number of arrangements.
r is the of objects selected.
n is the total numbers of object.
According to the question.
We have a word "COUNT".
Total number of letters in word "COUNT" is 5.
⇒ Total number of objects, n = 5
Since, we have to form different words by using 5 letters of count.
⇒ Total number of objects we have to select, r = 5
Therefore, the total number of ways to arrange the letters of "COUNT" is given by
[tex]5P_{5}=\frac{5!}{(5-5)!}[/tex]
⇒[tex]5P_{5} =\frac{5!}{0!}[/tex]
⇒[tex]5P_{5} =\frac{5!}{1}[/tex] (because,0! = 1)
⇒[tex]5P_{5} = 5(4)(3)(2) = 120 ways[/tex]
Hence, there are total 120 ways to arrange the letters of word "COUNT".
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Solve for b.
b- 2 = 2
b =
Answer:
B=4
Step-by-step explanation:
Please mark brainlest
what is the answer for 9*8*10*2981=?
What is the area of the composite figure?
Enter your answer in the box.
cm2
18 cm
10 cm
5 cm
The area of the composite figure is 70 cm^2
Area of composite figureThe area of the figure = area of rectangle + area of a triangle
Area of rectangle = length * width
Area of rectangle = 10 * 5
Area of rectangle = 50 square centimeters
Area of triangle = 0.5(5)(8)
Area of triangle = 20 square cm
Area of the figure = 50 + 20
Area of the figure = 70 square cm
Hence the area of the composite figure is 70 cm^2
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Eva maintained an average speed of 35 miles per hour (mph) for the first m hours of her road trip. For the next n hours of the trip, she drove at an average speed of 60 mph. Eva drove a total of 225 miles in 4.5 hours.
Which of the following systems of equations could be used to
find how many miles Eva drove in the first m hours of the trip?
Answer:
Step-by-step explanation:
I don't see the choices, but I will make the equations that seems to be correct to me.
Known facts:
maintained an average speed of 35 miles per hour (mph) for the first m hours of her road trip. next n hours of the trip, she drove at an average speed of 60 mph. Eva drove a total of 225 miles in 4.5 hours.Let's make the equations:
m + n = 4.5
35m + 60n = 225
Hope that helps!
Maria made punch for a party. The ratio of a can concentrated juice to water is one to three. How much water did she use with 4 cans of concentrated juice?
A. 12 B. 8 C. 6 D. 4 E. 3
Answer:
12
Step-by-step explanation:
3 x 4 = 12
hope this helps
Please help
The mean number of catfish caught daily at Lake Martin is 85, with the number of catfish ranging from 75 to 140. The mean number of catfish caught daily at Smith Lake is 104, with the number of catfish ranging from 96 to 183. Write a statement that BEST compares the average values of the number of fish caught at both lakes daily.
Answer:
i love math 21
Step-by-step explanation:
hehe
A statement that best compares the average values of the number of fish caught at both lakes daily:
There is a significant difference between the sample means.
What is average?The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.
The mean number of catfish caught daily at Lake Martin is 85,
with the number of catfish ranging from 75 to 140.
The mean number of catfish caught daily at Smith Lake is 104,
with the number of catfish ranging from 96 to 183.
The difference in all the sample means,
104 - 85 = 19.
Therefore, the difference is 19.
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Prove using direct proof.
"The supplement of an acute angle is an obtuse angle."
Answer: don’t rlly know what this question means but a supplementary angle is 180 degrees so if you have an acute angle which is less than 90 degrees then you need another obtuse angle to make the full 180
Step-by-step explanation: sorry if that didn’t help or didn’t make sense
The function f(x) is graphed below . What is true about the graph on the interval from point b to point c ?
Answer:
negative and increasing
Step-by-step explanation:
The graph in the interval b to c is below the x- axis and is therefore negative,
from b to c the slope of the curve is positive so it is increasing
please find the area
Answer: 6.72 yd^2
Step-by-step explanation:
The area of a triangle is equal to the base * height/2.
Therefore, the area = 3.2*4.2/2 yd^2
Area = 6.72 yd^2
Prove that any number n of the form abcabc, where a, b, and c are decimal digits, is divisible by 7, 11 and 13.
We can factorize abcabc as
abcabc = abc000 + abc
abcabc = abc (1000 + 1)
abcabc = abc × 1001
abcabc = abc × 7 × 11 × 13
so naturally each of 7, 11, and 13 must divide abcabc.
help asap!!! 50 points total if u get big brain! elect the expressions that are equivalent to 10 + 2x + 5y + 3x.
Check all that are true.
A.6x + 5y + 10
B.5x + 15y
C2(x + y + 5)
.
D.5(x + y + 2)
E.5x + 5y + 10
Answer:
D and E
Step-by-step explanation:
Explanation is in photo
Answer:
D.5(x + y + 2) and E).5x + 5y + 10
Step-by-step explanation:
10 + 2x + 5y + 3x.
combine x : (2x+3x=5x)
10+5x+5y
Factor 5
5(x + y + 2)
5*x=5x
5*y=5y
5*2=10
Coordinate Geometry: CD is the altitude to the hypotenuse of the right triangle ABC. The coordinates of the points A,B,D, are:
A(4,2) B(4, 15) D(4,6)
Determine all possible coordinates of point C.
Use Geogebra and take a screenshot of your work. Explain your answer completely.
Hi !
The all possible coordinates are [tex](10,6) [/tex] and [tex](-2,6)[/tex]
(For explanation, please check the attached picture)
[tex]Have \: a \: great \: day! \: :)[/tex]
Given: ∆DEK, DE = EK
EF − ∠ bisector of ∠E
m∠DEF = 44°
DK = 16
Find: KF
m∠DFE
Answer:
So let me help you!
Step-by-step explanation:
KF = 8 units
m∠DFE = 90°
-
We know that DK is 16 so you would just have to divide it by 2
[tex]\frac{16}{2} =8[/tex]
-
Since EF is a bisector, split it right down the middle means it will be equal to 90 degrees.
What is the y-intercept of the line passing through the point (5,-6) with a slope of - 37 O A. 27 OB. 47 7 OC O c. 47 37 O OD. - 27
Answer:
y=mx+b
Points are in (x,y) form so 5 is x and -6 is y
We know m = -1/7 (because m is slope)
So we can plug these values in to find b.
So:
-6 = 5(-1/7) + b
-6 = (-5/7) + b
-6 + 5/7 = b
b = -37/7
What is the sum of the 2nd square number and the 2nd cube number?
Answer:
17
Step-by-step explanation:
Second square number is 9; 3×3
second cube number is 8; 2×2×2
9+8=17.
An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus?
4.25 cm2
8.5 cm2
8.75 cm2
17.5 cm2
Answer:
8.75
Step-by-step explanation:
5×3.5÷2=8.75
Hope y like
Solution:
Note that:
Area of rhombus formula: 1/2 x (Product of the diagonals)Use the formula to find the area of each rhombus.
Area of rhombus formula: 1/2 x (Product of the diagonals)=> Area of rhombus: 1/2 x (3.5 x 5)=> Area of rhombus: 1/2 x (17.5)=> Area of rhombus: 1/2 x 17.5=> Area of rhombus: 8.75 cm²Correct option is C.
Jason draws a triangle ABC on a coordinate plane and rotates it 180 clockwise about the origin to create A'B'C'. Which rule describes the rotation that was applied to thangle ABC?
Answer:
(x,y) --> (-x,-y)
Step-by-step explanation:
Let me know if that's what your looking for.
5. The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j. By showing that the triangle is right-angled, or otherwise, find the area of the circle. [8]
The formed triangle is not right angled triangle. The area of circle is 19.64 square units.
What is the general equation of a Straight line? State the area of circle? How do we express vectors.The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The area of circle is -
A = πr² = π(d/2)²
A vector is represented by -
A = A[x] i + A[y] j + A[z] k
We have the following problem -
The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j.
|PQ| = 5 units
|PR| = 10
PR + RQ = PQ
RQ = PQ - PR
RQ = 11i - 2j
|RQ| = 11.18
It can be seen that it is not a right angled triangle.
Equation of the diameter of the circle -
y = 4/3x {Assuming it pass through origin}
Diameter length = 5
Radius length = 5/2
Area of circle = 22/7 x 5/2 x 5/2 = 19.64 square units.
Therefore, the formed triangle is not right angled triangle. The area of circle is 19.64 square units.
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A builder purchases 600 bricks for a new residential construction. The dimensions of each brick are 5. 1 cm by 10. 2 cm by 20. 3 cm. The density of the brick is 1840 kg m3. What is the weight, in kg to the hundredths, of 600 bricks?.
The weight of the 600 bricks is 1165.83 kg.
What is the mass of the bricks?The total mass is the product of the volume of one brick, the number of bricks, and the density. For this problem, it is convenient to use dimensions in meters.
Given
A builder purchases 600 bricks for new residential construction.
The dimensions of each brick are 5. 1 cm by 10. 2 cm by 20. 3 cm.
The density of the brick is 1840 kg m3.
The density of the bricks is given by;
[tex]\rm =600\times (5.1 \ cm \times 10.2 \ cm \times 20.3 \ cm) = 633,603.6\ cm^3[/tex]
The weight, in kg to the hundredths, of 600 bricks is;
[tex]\rm 633,603.6 cm^3 \times \dfrac{ 1 m^3}{10^6 cm^3 }\times\dfrac{ 1840 kg}{m^3}= 1165.83[/tex]
Hence, the weight of the 600 bricks is 1165.83 kg.
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Kinda confused on this question.
Which of the following lines has an x-intercept of –3 and a y-intercept of -4?
Answer:
D.
Step-by-step explanation:
it has an x-intercept of –3 and a y-intercept of -4
Answer:
d
Step-by-step explanation:
look at d for a second, just find along the y line where -4 is at and where -3 is at on the x intercept
Ben sells handmade cards at a craft fair he wants to earn more than $50 at the fair he sells his cards for $2 at and it has already earned $36 how many cards does he needs to sell to reach his goal
7 or more cards
Step-by-step explanation:
50-36=14
14÷2=7
Answer:
more than 7
Step-by-step explanation:
Ben wants to sell an additional c cards such that his total revenue is greater than $50:
36 +2c > 50
18 +c > 25 . . . . divide by 2
c > 7 . . . . . . . subtract 18
Ben must sell more than 7 cards to reach his goal.
Write 7 × √7 as a single power of 7.
Answer:
7 x 2.6
Step-by-step explanation:
the square root of 7 is exactly 2.645751311064591, so in this case I converted it to a smaller number, using tenths place.
solution:
7 x 2.6 = 18.2
Answer:
[tex] {7}^{ \frac{3}{2} } [/tex]
Step-by-step explanation:
[tex] \sqrt{7} \: can \: also \: be \: written \: as \: {7}^{ \frac{1}{2} } [/tex]
We can use this information to rewrite the original expression:
[tex]7 \times {7}^{ \frac{1}{2} } [/tex]
7 can also be written as
[tex] {7}^{1} [/tex]
Remember that when multiplying exponents, if they have the same base, we can add the exponents. Therefore:
[tex] {7}^{1} \times {7}^{ \frac{1}{2} } \\ {7}^{1 + \frac{1}{2} } \\ {7}^{1 \frac{1}{2} } \\ {7}^{ \frac{3}{2} } [/tex]
Solve for 10 points.
Answer:
8
Step-by-step explanation:
8 x 8 = 64
Since the exponent 2 means to multiply by itself, 8 would be the most logical solution.
(sorry if this is a bad explanation, I'm not sure how to explain it any better)
what angle is this? a and b
Answer:
Use protractor to measure B
I think the measure of a is acute angle
Which equation is equivalent to
log3(2x4 + 8x3) – 3log3x = 2log3x?
log3(–x3 + 8x2) = log3x2
–2log3(2x4 + 8x3 – x) = log3x2
log3(2x + 8) = log3x2
Answer:
log3(2x+8)=log3x2
Step-by-step explanation:
edge
Answer:
first: c
second: c
third: b
Step-by-step explanation:
which function has a graph that is narrower than the graph of h(x)=x^2
Any quadratic function whose leading coefficient is greater than 1 is narrower than [tex]h(x) = x^2[/tex].
Analysis of a second order polynomialThe function [tex]h(x) = x^2[/tex] belongs to the family [tex]y = a\cdot x^{2}[/tex], where [tex]a[/tex] is a real coefficient. The greater the [tex]a[/tex], the narrower the graph. Hence, any function whose leading coefficient is greater than [tex]a[/tex] presents a narrower form, that is, [tex]y[/tex] shows greater values for a given value of [tex]x[/tex].
Any quadratic function whose leading coefficient is greater than 1 is narrower than [tex]h(x) = x^2[/tex]. [tex]\blacksquare[/tex]
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The radius of a circle is 8 ft. Find its circumference in terms of \piπ
Answer:
[tex]\huge\boxed{\sf{Circumference=30.5; \:in\:terms\:of\:pi:\:16\pi }}[/tex]
Step-by-step explanation:
Hello.
Formula for Circumference:
C=2πr, where r = radius
Plug in the values:
C=2π×8
C≈50.3 (rounded to the nearest tenth)
The ≈ sign means "approximately equal to"
In terms of pi:
C=2×8 π
C=16π
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]