Answers
i. 180°
ii. 60°
iii. 360°
iv. 120°
EXPLANATION
The given regular polygon has 3 sides.
Since all the three sides are equal, it is called an equilateral triangle.
The sum of interior angles of an equilateral triangle is 180°
One interior angle is 60° because all the three angles are equal.
The sum of exterior angles is 360°
One exterior angle is 120° because all the three exterior angles are equal.
Related Questions
what is the value of p, rounded to the nearest tenth
Answers
Answer:
Step-by-step explanation:
Triple 15 = p
COCIOLTO
2 Points
At a hardware store, the probability that a customer buys nails is 0.10. The
probability that a customer buys nails given that the customer buys a
hammer is 0.40.
Which statement is true?
O
A. Every customer who buys nails also buys a hammer.
O
B. Buying a hammer and buying nails are independent events.
O
C. Buying a hammer and buying nails are dependent events.
O
D. The probability that a customer buys a hammer and nails is 0.30.
SUBMIT
Answers
Answer: The answer is C
Step-by-step explanation:
Answer:
Option C is correct.
Step-by-step explanation:
C. Buying a hammer and buying nails are dependent events. - This is correct.
Two events are said to be dependent on each other, if the occurrence of the first event affects the occurrence of the second event thus changing the probability. Here the probability for both the events is [tex]0.10\times0.40=0.04[/tex]
Which number line shows the solution set for |h-2| = 4
Answers
Answer:
The Second Option is your Answer ( Option 2)
Step-by-step explanation:
1) proof ( replace h with -2)
|-2-2| = 4
|-4| = 4
2) proof ( replace h with 6)
|6-2| = 4
|4|=4
Hopes this helps !
Answer:
[tex]h = -2\\h = 6[/tex]
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function [tex]f(x) = |x|[/tex] x> 0 for all real numbers.
Then the equation:
[tex]|h-2| = 4[/tex] has two cases
[tex](h-2) = 4[/tex] if [tex]h > 2[/tex] (i)
[tex]-(h-2) = 4[/tex] if [tex]h < 2[/tex] (ii)
We solve the case (i)
[tex]h = 4 + 2\\h = 6[/tex]
We solve the case (ii)
[tex]-h +2 = 4\\h = 2-4\\h = -2[/tex]
Then the solution is:
[tex]h = -2[/tex] or [tex]h = 6[/tex]
You have just spoken to your insurance agent and you are interested in investing in a 20-Payment Life insurance policy. Given that you are a 25-year-old healthy female, determine the annual premium for a policy with a face value of $55,000.Use the table provided below and round your answer to the nearest cent where necessary.
a.
$1,377.20
c.
$1,427.80
b.
$790.90
d.
$1,475.65
Answers
Answer: You can use this to help you out:
Determine the term life insurance amount per thousand on a 20-year-old male for a 10-year policy given that the face value of the policy is $65,000 and the annual premium is $291.85.
a.
$0.00449
c.
$0.2227
b.
$4.49
d.
$222.72
First find how many thousands on the amount of the face value
You do that by dividing the amount of the face value by 1000
65,000÷1,000=65
So the term life insurance amount per thousand is
291.85÷65=4.49...answer
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Answer:
a. $1,377.20
Step-by-step explanation:
To determine the annual premium for the policy, you have to divide the face value by 1,000:
$55,000/1,000= $55
Then, you have to multiply this result for the rate found on the table, which according to the information given is $25.04:
$55*$25.04= $1,377.20
The annual premium for the policy is $1,377.20.
1 by 3 + 2 by 4 + 5 by 6
Answers
Answer: 41
Step-by-step explanation:
(1 × 3) + (2 × 4) + (5 × 6)
= 3 + 8 + 30
= 11 + 30
= 41
Answer:
answer is 41
Step-by-step explanation:
The dimensions of the nations smallest post office are 8 ft 4 in x 7 ft 3 in. Why would you use the measurement 8 ft 4 in. instead of 7 ft 16 in?
Answers
Answer:
The explanation in the procedure
Step-by-step explanation:
we know that
[tex]1\ ft=12\ in[/tex]
In this problem is correct to use the measurement [tex]8\ ft\ 4\ in[/tex] instead of [tex]7\ ft\ 16\ in[/tex]
because
[tex]16\ in=12\ in+4\ in=1\ ft+4\ in[/tex]
therefore
[tex]7\ ft\ 16\ in=7\ ft\ +1\ ft+4\ in=8\ ft\ 4\ in[/tex]
Which triangle is a reflection of triangle ABC over the X axis?
Answers
The correct answer is: Triangle MNO
A reflection of a triangle over the X-axis involves flipping the triangle about this axis. Each point in triangle ABC (A, B, and C) is reflected to a corresponding point A', B', and C' in the reflected triangle such that their Y-coordinates are negated while the X-coordinates remain the same.
Explanation:To understand the concept of the reflection of a triangle, you need to visualize flipping the triangle over a line, in this case, the X-axis. When a triangle named ABC is reflected over the X-axis, the positions of the points change as follows: A (x, y) becomes A' (x,-y), B (x, y) becomes B' (x, -y), and C (x, y) becomes C' (x, -y). Therefore, the triangle that is a reflection of triangle ABC over the X-axis is triangle A'B'C'.
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I need help with this question??
Answers
Answer:
2d + 8
Step-by-step explanation:
twice the number d = 2 × d = 2d and 8 more means add on 8, that is
2d + 8 ← is the variable expression
(d x 2) + 8
deconstruct it from the end of the sentence- twice the number 'd' and add 8
When lines are perpendicular their slopes flip and?
Answers
Answer:
Their sign changes.
For this case we have to:
Given two lines:
[tex]y_ {1} = m_ {1} x_ {1} + b_ {1}\\y_ {2} = m_ {2} x_ {2} + b_ {2}[/tex]
By definition, if both lines are perpendicular to each other, then the product of their slopes is -1. That is to say:
[tex]m_ {1} * m_ {2} = - 1[/tex]
ANswer:
The product of the slopes of two perpendicular lines is -1.
Find the percent of discount. Round to the nearest tenth
Original price: $24,365
Sale price: 16,820
Answers
Answer: 69%
Step-by-step explanation:
16820x100= 1682000
1682000÷24365=69.033
Mr. Ramierz had $600. He gave 3/5 of it to his wife and spent 3/8 of the remainder. How much did he spend?
Answers
Answer:
he spent $135
Step-by-step explanation:
He spent $135
1. 0.6(600)=360
2. 0.375(360)=135
How many times does 7 go into 40
Answers
Answer:
5.7 times
Step-by-step explanation:
A veterinarian divided 2/5 of a bottle of medicine equally among some sick cats. She gave each cat 1/5 of a bottle of medicine. How many sick cats were there?
Answers
The veterinarian gave each cat 1/5 of a bottle of medicine. By dividing the total medicine (2/5 of a bottle) by 1/5, we find that there were 2 sick cats.
Explanation:To find the number of sick cats, we need to divide the amount of medicine given to the cats by the amount given to each cat. Since each cat received 1/5 of a bottle, we can divide the total medicine (2/5 of a bottle) by 1/5 to find the number of cats. This can be done by multiplying the total medicine by the reciprocal of 1/5, which is 5/1.
Convert 2/5 to an improper fraction: 2/5 = 2 ÷ 5 = 2/5Multiply the total medicine by the reciprocal of 1/5: 2/5 × 5/1 = 2 × 5 / 5 × 1 = 10 / 5 = 2Therefore, there were 2 sick cats.
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Please answer quickly for me
Answers
Answer:
f(x)⁻¹ = x³ + 2
Step-by-step explanation:
Find the inverse of f(x) = ∛(x - 2).
The first step is to let f(x) = y
y = ∛(x - 2)
Then make x the subject of the formula
y³ = [∛(x - 2)]³
y³ = x - 2
x = y³ + 2
∴ f(x)⁻¹ = y³ + 2
Replacing y with x we have.
f(x)⁻¹ = x³ + 2
Which property can be used to solve the equation d/10=12
A. Addition property of equality
B. Subtraction property of equality
C. Multiplication property of equality
D. Division property of you equality
Answers
Multiplication property of equality. C is your answer
Multiplication property can be used for this equation because to get d by itself you have to MULTIPLY both sides by 10 to get d=122
Hope this helps
What is the difference between arithmatic and geometric sequences
Answers
Geometric sequences use multiplication, so each term is multiplied by a constant amount (common ratio) to get the next one.
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Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). input -1 0 -1 -8 9 output 0 1 2 4 8 function relation neither
Answers
Answer:
Relation.
Step-by-step explanation:
This is a relation but not a function. The input -1 maps to both 0 and 2; this is a one-to-many relation so it is not a function. Functions are either one-to-one or many-to-one.
Answer:
Relation cause its not a function
Step-by-step explanation:
This is a relation but not a function.
A 1/2 yard of ribbon is needed for a craft project. How much ribbon will remain from a piece that measures 7/8 yard?
Answers
1/2 is the same as 4/8, since 4 is 1/2 of 8. So, you just need to subtract 4/8 from 7/8 to find the remaining ribbon.
7/8 minus 4/8 is 3/8, so there would be 3/8 yards of ribbon remaining.
To find out how much ribbon is left after using 1/2 yard from a piece that is 7/8 yard long, convert 1/2 yard to 4/8 and subtract from 7/8, leaving you with 3/8 yard of ribbon remaining.
To determine how much ribbon will remain after using 1/2 yard for a craft project from a piece that measures 7/8 yard, you need to subtract the amount used from the total length you have. Since we are working in yards, ensure both amounts are in the same units. Here are the steps to find the remaining ribbon:
Start with the total length of ribbon: 7/8 yard.
Subtract the length of ribbon used for the project: 1/2 yard.
Convert 1/2 yard to an equivalent fraction with a denominator of 8, which is 4/8 yard.
Subtract 4/8 yard from 7/8 yard to find the remaining length.
7/8 yard - 4/8 yard = 3/8 yard remaining.
So, after using 1/2 yard of ribbon for a craft project, you will have 3/8 yard of ribbon left from the original 7/8 yard piece.
Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?
Answers
Answer:
C
Step-by-step explanation:
F must be on -4
H must be on 4 (because it is -f=-(-4)=-1•-4=4)
Answer:
Step-by-step explanation:
the answer is c
How many different outfits can be made when choosing between 3 shirts, 4 pairs of shorts and 2 pairs of shoes? Show work.
Answers
Answer:
24 outfits
Step-by-step explanation:
Since you have 4 choices of shirts, then 3 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 3 x 2. This gives you 24 outfit options.
Find the area of the unshaded portion of this figure. The figures shown below are a trapezoid and a rhombus. Show your work.
Answers
Answer:A-1/2h(b1+b2)
A-1/2*(10.1)*(30.5+21.4)
A-3296.135 i think
Step-by-step explanation:
To find the area of the unshaded portion of a figure containing a trapezoid and a rhombus, calculate the area of each figure first using their respective formulas. Subtract the area of the overlapping (shaded) region from the total to find the area of the unshaded portion.
Explanation:The problem asks to find the area of the unshaded portion of a figure, which includes a trapezoid and a rhombus. Since we don't have the specific values of the sides and heights of each figure, a general approach would be to calculate the area of each figure first, then subtract the area of the shaded (overlapping) region from it.
The formula for the area of a trapezoid is A = 1/2 (a+b)h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height. For the rhombus, the formula is A = 1/2 (d1 * d2), where 'd1' and 'd2' are the diagonals.
Assuming you can measure and determine the shaded region, you would compute its area as well and subtract this from the total of the previous two calculations. This would give you the area of the unshaded portion.
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Prove:Sinx-2sin3x+sin5x=2sinx(cos4x-cos2x)
Answers
A = sinx - sin3x,
B = -sin3x + sin5x
First A:
The average of x and 3x is 2x, and they (x and 3x, that is) are each a distance of x from this average. That's fancy talk for:
x = 2x-x,
3x = 2x+x.
So, A = sin(2x-x) - sin(2x+x)
Using angle sum formulas:
A = (sin2x cosx - cos2x sinx) - (sin2x cosx + cos2x sinx)
A = -2 cos2x sinx
Similarly,
B = -sin(4x-x) + sin(4x+x)
= -(sin4x cosx - cos4x sinx) + (sin4x cosx + cos4x sinx)
B = 2 cos4x sinx
Now,
sinx - 2sin3x + sin5x = A+B = -2 cos2x sinx + 2 cos4x sinx
= 2 sinx (cos4x - cos2x).
Sinx-2sin3x+sin5x=2sinx(cos4x-cos2x)
Step-by-step explanation:sinx - 2sin3x + sin5x = sinx - sin(3x) + sin(5x)- sin(3x)
= 2· cos[(x+3x)/2] · sin[(x-3x)/2] + 2·cos[(5x+3x)/2]· sin[(5x-3x)/2]
= 2· cos(2x) ·sin(-x) + 2· cos(4x) · sin(x)
= -2·cos(2x)·sinx + 2· cos(4x)·sinx
= 2·sinx · [ cos(4x)- cos(2x)]
The population of certain region is 60 people per square kilometer If the region convers 23 square kilometer what is the population of the region
Answers
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Minerva buys used bicycles, repairs them, and sells them for a profit. She bought a bicycle for $10, repaired it, and sold it for $50. What was the percent increase in the price of the bicycle.
A. 400%
B. 80%
C. 40%
D. 4%
Answers
it is an increase of 400%
Final answer:
The percent increase in Minerva's bicycle price is calculated by subtracting the original price from the new price, dividing by the original price, and then multiplying by 100%. The calculation results in a 400% increase.
Explanation:
The percent increase in the price of the bicycle that Minerva bought and sold is calculated using the formula for percent change, which is (New Price - Original Price) / Original Price times 100%. In this case, the original price is $10 and the new price is $50.
To calculate the percent increase:
($50 - $10) / $10 times 100% = $40 / $10 times 100% = 4 times 100% = 400%.
Therefore, the correct answer is 400%, which is option A.
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Using the distributive property, the sum of 44 + 12 can be expressed as 4(11 + 3).
Which math word identifies the number 4 in the rewritten expression?
A) Addend
B) Common Difference
C) Least Common Multiple
D) Greatest Common Factor
Answers
[tex]\huge\boxed{\text{Greatest common factor}}[/tex]
The greatest common factor is the greatest number that both [tex]44[/tex] and [tex]12[/tex] are divisible by. In this case, it is [tex]4[/tex]. Each number can then be divided by the greatest common factor using the reverse of the distributive property.
Find the value of x.
Answer options: 60, 57, 69, 63
Answers
Answer: First option
Step-by-step explanation:
By definition, you know that:
[tex]55\°=\frac{170\°-x}{2}[/tex]
Therefore, to calculate the measure of the missing angle, you must solve for x, as you can see below:
- Multiply both sides of the equation by 2.
- Subtract 170 from both sides of the equation.
- Multiply both sides of the equation by -1
Therefore:
[tex]55\°=\frac{170\°-x}{2}\\\\(2)55\°=\frac{170\°-x}{2}(2)\\\\110\°=170\°-x\\110\°-170\°=170\°-x-170\°\\(-1)-60\°=-x(-1)\\x=60\°[/tex]
Da la answer is 60
Step-by-step explanation:
Gradpoint approved
What is the perimeter of the triangle shown on the coordinate plane to the nearest 10th of a unit? Please help.
Answers
You can use the pythagorean theorem to find the side lengths. One is a straight line and it's 7 units. I'll attach a picture of what this looks like, but the side lengths of the other ones are √37 and √72. Add these up to get the perimeter → 21.568 or 21.6 units.
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
A y=-4.105x+1.560
B. y = 1.560x - 4.105
c. y= -1.560x+ 4.105
d. y = 4.105x – 1 560
Answers
Answer: B. y = 1.560x - 4.105*****
Answer:
Option B.
Step-by-step explanation:
The general equation of best fit line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
[tex]m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]
[tex]b=\overline{y}-b\overline{x}[/tex]
Using the graphing calculator we get
[tex]m=1.56015\approx 1.560[/tex]
[tex]b=-4.10526\approx -4.105[/tex]
Substitute m=1.560 and b=-4.105 in equation (1).
[tex]y=1.560x-4.105[/tex]
The equation of the line of best fit for the following data y = 1.560x - 4.105.
Therefore, the correct option is B.
Which equation can be used to find the value of x in this figure. I’m so stumped but I think it is c
Answers
Answer:
[tex]106\°+x=180\°[/tex]
Step-by-step explanation:
Observing the figure
we know that
[tex]106\°+x=180\°[/tex] ----> by supplementary angles
Solve for x
[tex]x=180\°-106\°=74\°[/tex]
Katie needs to figure out how much space a shoe box takes up. It is 13 1/2 inches long and 5 inches high and 6 2/3 inches wide. What is the shoe box's volume?
Answers
Answer:
you multiply all three of these numbers to get an answer of 450
Step-by-step explanation:
Final answer:
The volume of the shoe box is calculated using the formula for the volume of a rectangular prism, resulting in a total of 450 cubic inches.
Explanation:
The formula for finding the volume of a rectangular prism (which is the shape of a shoe box) is Volume = Length × Width × Height. However, before calculating, we need to ensure all dimensions are in the same unit. Since the given width is in mixed number form, we will convert 6 2/3 inches to an improper fraction which is 20/3 inches. We then multiply the length, width, and height.
Volume = (13.5 inches) × (20/3 inches) × (5 inches)
Volume = (13.5 × 20/3 × 5) cubic inches
Volume = (270/3 × 5) cubic inches
Volume = (90 × 5) cubic inches
Volume = 450 cubic inches
The shoe box's volume is 450 cubic inches.