Answer:
The polygon has 9 sides
Step-by-step explanation:
we know that
A regular polygon has equal length sides and equal interior angles
step 1
Find the measure of the interior angle
Remember that
The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)
Let
x ----> the measure of each interior angle in the regular polygon
so
[tex]x+40^o=180^o[/tex]
solve for x
[tex]x=180^o-40^o=140^o[/tex]
step 2
Find the number of sides of the regular polygon
we know that
The measure of each interior angle in a regular polygon is given by the formula
[tex]x=\frac{(n-2)180^o}{n}[/tex]
where
n is the number of sides of the polygon
substitute the given values
[tex]140^o=\frac{(n-2)180^o}{n}[/tex]
solve for n
[tex]140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides[/tex]
therefore
The polygon has 9 sides
One yard crew works four times faster than the other yard crew. If they work together they can finish a job in 60 minutes. How fast each yard crew works?
Time taken by both crew is 48 min and 12 min , when they work together !
Step-by-step explanation:
Here we have , One yard crew works four times faster than the other yard crew. If they work together they can finish a job in 60 minutes. We need to find How fast each yard crew works . Let's find out:
One yard crew works four times faster than the other yard crew
Let speed of one crew be x , So speed of other crew is four times i.e.
⇒ [tex]4x[/tex]
If they work together they can finish a job in 60 minutes.
According to above statement , both can finish work in 60 min i.e.
⇒ [tex]4x+x=60[/tex]
⇒ [tex]5x=60[/tex]
⇒ [tex]x=12[/tex]
So , time taken by other crew is 4x = 4(12) = 48 min . Therefore , Time taken by both crew is 48 min and 12 min , when they work together !
The second yard crew works for 48 minutes.
The first yard crew works for 12 minutes which is four times faster that the second crew.
Step-by-step explanation:
Let us assume,
The second yard crew completes the work in 'x' minutes.
It is given that,
The first yard crew works four times faster than the other yard crew. Therefore, first yard crew will complete the work in 'x/4' minutes.If they work together they can finish a job in 60 minutes.
⇒ x + x/4 = 60 minutes.
⇒ 5x / 4 = 60
⇒ x = 240/5
⇒ x = 48 minutes.
Therefore, the second yard crew works for 48 minutes.
To find the first yard crew :
We already know that, they are 4 times faster that the second yard crew.
Substitute x = 48 in x/4,
⇒ 48 ÷ by 4
⇒ 12 minutes.
Therefore, the first yard crew works for 12 minutes which is four times faster that the second crew.
The length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?
Area of the rectangle is 10.27 cm²
Step-by-step explanation:
Step 1: Let the width of the rectangle be x, then length = 4 + 3x. Find the dimensions if perimeter = 18.4 cmPerimeter = 2(length + width)
⇒ 18.4 = 2 (x + 4 + 3x)
⇒ 18.4 = 2(4x + 4)
⇒ 18.4 = 8x + 8
⇒ 8x = 10.4
⇒ x = 10.4/8 = 1.3
∴ 4 + 3x = 4 + 3×1.3 = 7.9
Step 2: Find area of the rectangle.Length = 7.9 cm and width = 1.3 cm
⇒ Area = length × width
= 7.9 × 1.3 = 10.27 cm²
The probability of NOT drawing a red marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
Total number of marbles
= 3+2+8+4+3
= 20 marbles
P(not red)
=
[tex] \frac{3 + 2 + 8 + 3}{20} \\ = \frac{16}{20} \\ = \frac{4}{5} [/tex]
or P(not red)
=
[tex]1 - \frac{4}{20} \\ = 1 - \frac{1}{5} \\ = \frac{4}{5} [/tex]
Angles 1 and 3 are directly across from each other.
They are called vertical angles. They share only a
vertex. They always measure the same. Therefore,
if angle 1 measures 27 degrees, angle 3 will
measure
degrees.
The measure of angle 3 is 27 degrees.
Step-by-step explanation:
The angles 1 and 3 are vertical angles and share same vertex.Therefore, the measure of the angle 1 and angle 3 are equal.Given,
angle 1 = 27°
Since angle 3 is same as angle 1, the measure of angle 3 is also 27 degrees
angle 3 = 27°.
-5y=-5
7x+6y=7
Is (5,1) a solution to the system?
no for the last problem but yes for the first if u plug in everything
Step-by-step explanation:
I plugged everything in and go the same answer on both sides for the first in but the last one i didn't, so that's a question you should ask your teacher if there is one near you
Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24 bills. How many $10 bills were in the deposit?
Answer:
100 10's
Step-by-step explanation:
Answer: 6 10$ bills
Step-by-step explanation:
18 (5$) times 6 (10$) = $150
18 + 6 = 24 bills in total ^
What must be the length of ZY in order for ZY to be tangent
to circle X at point Y?
14 units
15 units
16 units
17 units
Answer:
15 units
Step-by-step explanation:
The picture of the question in the attached figure
we know that
Triangle XYZ is a right triangle, because segment ZY is tangent to circle X at point Y
so
Applying the Pythagorean Theorem
[tex]XZ^2=XY^2+ZY^2[/tex]
we have
[tex]XZ=8+9=17\ units\\XY=8\ units[/tex]
substitute the given values
[tex]17^2=8^2+ZY^2[/tex]
[tex]ZY^2=289-64\\ZY^2=225\\ZY=15\ units[/tex]
Answer:
15
Step-by-step explanation:
what is 2b = 20, what does the b equal
Answer:
b = 10
Step-by-step explanation:
Divide 20 by 2 to get b by itself:
20/2 = b
10 = b
MARK AS BRAINLIEST!
Answer:
B=10
Step-by-step explanation:
2(b)=20
2(10)=20
Or
2b÷2=20÷2
B=10
Gradpoint-What is the value of y?
25
35
50
100
Answer:
35
Step-by-step explanation:
60 x 70 ÷ 50 yyyyyygsgsgsvsvshsh
Find the area.
8 ft
7 ft
14 ft
Answer:
784
Step-by-step explanation:
I’m pretty sure I did this right I just multiplied them
solve for x. x + 1/2 = 3/4
X=_______________________
Answer:
[tex]x=\frac{1}{4}[/tex]
Step-by-step explanation:
In order to get the answer to this question you will have to subtract 1/2 on both sides:
[tex]x+\frac{1}{2} =\frac{3}{4}[/tex]
Subtract 1/2 on both sides:
[tex]-\frac{1}{2} -\frac{1}{2}[/tex]
Subtract 1/2 from 3/4:
[tex]\frac{3}{4} -\frac{1}{2}[/tex]
Find the common denominator:
[tex]CD=4[/tex]
[tex]2\times2=4[/tex]
[tex]1\times2=2[/tex]
[tex]=\frac{2}{4}[/tex]
Do the same with the second fraction:
[tex]4\times1=4[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{3}{4}[/tex]
Subtract the numerators:
[tex]3-2=1[/tex]
Keep the denominator the same:
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4}[/tex]
Hope this helps.
What is the stretch or shrink of the graph g(x) = 2 |x + 3| − 5
It's a stretch by coefficient of two.
Hope this helps.
Divide 5x2 − 7x − 6 by x − 2.
5x − 5
5x + 3
x − 5
x + 3
Answer:
5x+3
Step-by-step explanation:
Philip ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday.
How much farther did Philip run than Michael. fractions .with common denominators.
Philip ran 3 1/4 miles farther than Michael. We obtained this by subtracting the fraction and whole number of Michael's distance from Philip's and simplified the resultant fraction.
Explanation:To find out how much farther Philip ran than Michael, you need to subtract the distance run by Michael from Philip's distance. Since we are dealing with fractions with common denominators, this makes the subtraction process easier.
Philip's distance = 4 3/8 miles
Michael's distance = 1 5/8 miles
Subtract Michael's distance from Philip's distance: 4 3/8 - 1 5/8
Since the denominators are the same, you can simply subtract the numerators: 8 (the common denominator) stays the denominator, and subtract 3 from 5 which gives: 2/8
We subtract the whole numbers: 4 - 1 = 3. Therefore, the final difference is 3 2/8 miles. However, you can simplify 2/8 fraction to 1/4. So, the final and simplest difference is 3 1/4 miles.
Learn more about the Subtraction of Fractions here:https://brainly.com/question/30489902
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To find out how much farther Philip ran than Michael, we need to subtract the fractions representing their respective distances. After converting these to improper fractions, we subtract the numerators, giving us a result of 2 6/8 miles, which is the distance by which Philip ran farther than Michael.
Explanation:The problem involves subtracting fractions to find the difference between the distances that Philip and Michael ran. First, convert the mixed fractions into improper fractions. Philip ran 4 3/8 miles which equals 35/8 miles and Michael ran 1 5/8 miles which equals 13/8 miles. Subtracting fractions with like denominators is straightforward, so subtract the numerators: 35 - 13 equals 22. Therefore, Philip ran 22/8 or 2 6/8 miles more than Michael.
Learn more about Subtracting Fractions here:https://brainly.com/question/30489902
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The weight of a package is at least 1.5 pounds. Write an inequality to represent this situation. (Show work please)
Answer:
W ≥ 1.5lb
W = weight of package
Step-by-step explanation:
The key words at least show more than or equal to.
What is the quotient in simplest form? 8/3 divided by 2/3
Answer:
[tex] \frac{8}{3} \div \frac{2}{3} \\ \frac{8}{3} \times \frac{3}{2} = \frac{4}{1} \\ = 4[/tex]
Answer is 4
Answer: 4
Step-by-step explanation:
8/3 ÷ 2/3 = 4
In Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.
The first step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/3 is 3/2.
8/3 × 3/2
Next, multiply the two numerators. Then, multiply the two denominators. In this step, we first cancel by a common factor of 3, which then gives 8/2, then cancel by another common factor of 2, which gives 4.
Thus 8/3 x 3/2 = 4
I hope this helps.
A 12inch diameter pizza has 22 calories per square inch. About how many calories are in the entire pizza? Use 3.14 for pi. Select from the drop-down menu to correctly complete the statement
Step-by-step explanation:
Diameter of pizza = 12 inch
Therefore, radius r = 6 inch
[tex]Area \: of \: entire \: pizza \\ = \pi {r}^{2} \\ = 3.14 \times {6}^{2} \\ = 3.14 \times 36 \\ = 113.04 \: {inch}^{2} \\ \\ amount \: of \: calories \: in \: entire \: pizza \\ = area \: of \: pizza \\ \times calories \: per \: square \: inch \\ = 113.04 \times 22 \\ = 2,486.88 \\ [/tex]
whats 12-7-8-9+66=??????
Hey there!
12 - 7 - 8 - 9 + 66 = ?
12 - 7 = 5
5 - 7 - 8 - 9 + 66
5 - 8 = -3
-3 - 9 + 66
-3 - 9 = -12
-12 + 66 = 54
Answer: 54
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
What is the length of the arc with a measure of 100 degrees in a circle of radius 15 inches
Answer:
30
Step-by-step explanation:
I need help!!! please help me out as quick as possible
Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
[tex]A_n = {4}^{n - 1} [/tex]
We want to find the tenth term of this sequence.
We substitute n=10 to get:
[tex]A_ {10}= {4}^{10 - 1} [/tex]
Simplify the exponent
[tex]A_ {10}= {4}^{9} [/tex]
Simplify the power
[tex]A_ {10}= 262144[/tex]
Therefore the 10th term is 262,144
If i have 6 bottles of water and each weigh 3/5 pounds how much do i have
You have 3 and 3/5 pounds of water.
To find this, simply multiply 3/5 by 6/1 (multiplying straight across). 6 times 3 is 18 and 5 times 1 is 5. Thus meaning you have 18/5 pounds, which simplified is 3 and 3/5 pounds.
I hope this helps!
Answer:
if you multiply 3/5 ×6 that would be 3.6 or in mix number that would be 3⅗
Solve proportion S/84=3/21
Answer:
S=21
Step-by-step explanation:
First cross multiply, next divide. I hope this helped!
Answer: S = 12
Step-by-step explanation:
S/84 =3/21
Cross multiply to find the value of S
21 x S= 84 x 3
21S= 252
S= 252/21
S= 12
A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?
1
3
27
81
Solution:
Given that,
A sequence is defined by the recursive function:
[tex]f(n+1) = \frac{1}{3} \times f(n)[/tex] ------ eqn 1
Given that,
[tex]f(3) = 9[/tex]
Substitute n = 2 in eqn 1
[tex]f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27[/tex]
Substitute n = 1 in eqn 1
[tex]f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81[/tex]
Thus f(1) is 81
Answer:
D 81
Step-by-step explanation:
What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = (x + 1)^2 - 5.
solve for k
10/3= k/9
Answer:
k = 30
Step-by-step explanation:
[tex]\frac{10}{3}=\frac{k}{9}\\\\\frac{k}{9}=\frac{10}{3}\\\\k=\frac{10}{3}*9\\\\k=10*3=30[/tex]
Answer:
k = 30
Step-by-step explanation:
[tex]\frac{10}{3}[/tex] = [tex]\frac{k}{9}[/tex]
We can easily solve this by cross multiplying. Multiply 10 by 9, and multiply the variable (k) by 3.
10 x 9 = 90
3 x k = 3k
These two (90 and 3k) are equal to one another and thus can both be set up into an equation.
3k = 90
Solve for k.
3k/3 = 90/3
k = 30
What is the measure of a straight angle?
A less than 90°
Bgreater than 90°
C 90°
D 180°
Answer:
D 180°
Step-by-step explanation:
The measure of a straight angle is 180°.
please help me on this
Answer:
mean= 15.16
2/53
Step-by-step explanation:
addition of all the figures plus the next student divided by 6
Solve x+8y/4=9y for x
Answer:
x = 7y
Step-by-step explanation:
x+8y/4=9y
Multiply each side by 4 to get rid of the fractions
4(x+8y/4)=9y*4
Distribute
4x +8y = 36y
Subtract 8y from each side
4x +8y-8y = 36y-8y
4x = 28y
Divide each side by 4
4x/4 = 28y/4
x = 7y
x+8y/4=9y
Multiply each side by 4
4(x+8y/4)=9y*4
=>4x +8y = 36y
Subtract 8y from each side
=>4x +8y-8y = 36y-8y
=4x = 28y
Divide each side by 4
=>4x/4 = 28y/4
x = 7y
Tony has $10 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and graph an inequality to describe the situation. Then give two possible combinations of pounds of apples and bananas that Tony can buy. HELP
The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.
Explanation:
Total amount of money tony have , T = $10
Thus the cost of apple, (We can represent as Ca) = $2
Also the cost of banana,(We can represent as Cb) = $1
Let x be the number of apples bought
Let y be the number of bananas bought
Total expenditure to buy fruits, E = $2 x + $1 y
So,The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.
Which statement is correct?
A kilometer is 100 times the length of a meter.
A kilometer is 1,000 times the length of a meter.
A centimeter is 100 times the length of a meter.
A meter is 10 times the length of a centimeter.
Answer:
A centimeter is 100 times the length of a meter.
A kilometer is 1,000 times the length of a meter.
The statement that asserts a true claim would be:
B). A kilometer is [tex]1,000[/tex] times the length of a meter.
Metric System
The metric system is a measurement system that employs the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass).Kilometers are [tex]1,000[/tex] meters. In the metric system, the meter is the basic unit for measuring length or distance.[tex]1[/tex] kilometer [tex]=1000[/tex] metersSo, a kilometer is [tex]\boldsymbol{1,000}[/tex] times the length of a meter.Find out more information about "mathematical units" here:
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