Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the umbrella at mid-day.
Determine whether each option below would result in any part of the picnic table being shaded by the umbrella at mid-
day. Explain how you know.
• Option A: Rotate the picnic table 90° clockwise about the point (5, 0).
Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
• Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Enter your answers and explanations in the space provided
Answer:
Option CStep-by-step explanation:
Refer to attached picture
At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.
So the options:
Option A: Rotate the picnic table 90° clockwise about the point (5, 0)
No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
No. The movement will bring the umbrella down by one feet and no intersections.Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct optionI need this ASAP
And also I need to show my work
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.
Bauer paid the admission for himself and two friends at Open Skate Night. Bauer had a membership card, but his friends did not. He paid with a $20 bill. How much change should Bauer receive?
Answer:
Step-by-step explanation:
$3.75 (Bauer) + 5*2 (2 friends) = $13.75
20 - 13.75 = $6.25 in change
i need helpppp ASAP
What is 6/5 ÷(-2)
help me...
A bacteria culture initially contains 2000 bacteria and doubles every half hour.
Find the size of the baterial population after 60 minutes.
Find the size of the baterial population after 7 hours.
Answer:
Can be found below
Step-by-step explanation:
Part A:
So we know that the bacteria doubles every (30) minutes.
2000 times 2 equals 4000 (30 minutes)
4000 times 2 equals 8000 (1 hour)
Answer for Part A:
8000 bacteria
Part B:
Now we do this function 2000(2)^14 (30 minutes long)
Answer to Part B:
I believe the answer is 32,768,000 (Please correct me if I'm wrong)
Hope I could help!! Have a great day/night!
Any constructional messages are greatly appreciated!!
¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ?
Answer:
3 años 4 meses
4 primer año
4 segundo año
4 tercer año pero nos falta 4 meses 4/12 = .33333 esto x 4 los meses = 1.3333
____
13.3333
7200 * .133333= 959.9976 por aproximacion son 960
7200+960 = 8160 Es el monto producido
Opcion C
(ASAP!!)Two base angles of an isosceles triangle measure (3x + 2) and (5x - 30) degrees. How many degrees are in the third angle of the triangle? Be sure to use the correct place value.
Answer:
Measure of third angle = 80°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of the equal sides of an isosceles triangle are equal in measure.
Since, base angles of an isosceles triangle are equal,
(3x + 2) = (5x - 30)
5x - 3x = 2 + 30
2x = 32
x = 16
Now measure of the base angles will be = (3×16) + 2 = 50°
Let the measure of third angle = y°
Since, sum of interior angles of a triangle = 180°
50° + 50° + y° = 180°
y + 100 = 180
y = 80°
Therefore, measure of third angle is 80°.
Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.
If order does not matter, in how many ways can she pick four colors if green must be one of them?
4
6
10
15
Answer:
it’s 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Last year Chesa made 32 one-cup servings of soup for a school party. This year, she will make two times the amount of soup that she made last year. How many gallons of soup will Chesa make this year? A.64 B.16 C.4 D.2 What is the unresonable for B C and D
Answer:
64
Step-by-step explanation:
when we multiply and divide we ____ the negative numbers (integers)
Answer:
I think its supliment but I took this class a long time ago so don't quote me on that
Step-by-step explanation:
What is the value of 3/5 divided by 2/3
Answer:
[tex]0.9[/tex] [tex]or[/tex] [tex]\frac{9}{10}[/tex]Step-by-step explanation:
[tex]\frac{3}{5}[/tex] = [tex]0.6[/tex] [tex]or[/tex] [tex]\frac{6}{10}[/tex]
[tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex] [tex]or[/tex] [tex]\frac{4}{6}[/tex]
[tex]Therefore,[/tex] [tex]\frac{3}{5}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{9}{10}[/tex] [tex]or[/tex] [tex]0.9[/tex]
Hope this helps! <3
Find the greatest common factor of 90 and 135
Answer:
45
Step-by-step explanation:
45 times 2 = 40
and
45 times 3 = 40 as well!
hope this helps u!
Answer:
your answer is 45
Explanation:
The Greatest Common Factor (GCF) for 90 and 135, notation CGF(90,135), is 45.
The factors of 90 are 1,2,3,5,6,9,10,15,18,30,45,90;
The factors of 135 are 1,3,5,9,15,27,45,135.
So, as you can see, the Greatest Common Factor or Divisor is 45, because it is the greatest number that divides evenly into all of them.
plz give me brainliest
the figure is used as part of a visual description of an algebraic statement. Which of the following can be that algebraic statement?
A.a^2 +b^2=c^2
B.1/2 (a+b) =c
C.a•b=c
D.a^2•b^2=c^2
Answer: A.
Step-by-step explanation:
The correct algebraic statement is [tex]a^{2} +b^{2} =c^{2}[/tex].
Pythagoras Theorem:It states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.
[tex]a^{2} +b^{2} =c^{2}[/tex]
According to the given question
By Pythagoras theorem we can say that the algebraic statement A i.e.[tex]a^{2} +b^{2} =c^{2}[/tex] is the correct one for the description of given figure.
Hence, option A i.e. [tex]a^{2} +b^{2} =c^{2}[/tex] is the correct option.
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You use a gift card to buy a pair of shorts for $8. There is $32 left on the gift card after your purchase. What was the original amount of your gift card?
Answer:
40
Step-by-step explanation:
32+8=40
What is the step by step process of adding and subtracting matrices
Martha accumulated $6000 in credit card debt. If the interest rate is 1.45% per year and she does not make any payments for four years how much will she owe on her debt in four years by compounding continuously. Round to the nearest cent.
Answer:
$6,358.29
Step-by-step explanation:
A=?
P=$6,000
r=0.0145
t=4 years
A man traveled at 480 km in 9 hours. He traveled at 45 km/hr
for part of the trip and at 60 km/hr for the remainder of the trip.
How far did he travel while driving at 60 km/hr?
Please help!!!
Answer:
4 hours 45km/hr and 5 hours 60km/hr I believe
Step-by-step explanation:
5 times 60km/hr=300km
4 times 45km/hr=180km
180km+300km=480mm
Help for brainliest
Answer:
-8 THAT WAS SO EASY
Step-by-step explanation:
PLEASE HELP HEHE!!!!
A bag contains 3 red balls, 8 blue balls and 11 white balls. What is the probability of drawing two balls after replacing the first ball; first is red and then a white ball? Round to the nearest tenth and include a percent sign
Answer:
0.1Step-by-step explanation:
Probability = expected outcome/total outcome
If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;
Total outcome = 3 + 8 + 11 = 22 balls
Since we are drawing two balls with replacement;
Probability of drawing red ball = number of red/total outcome = 3/22
Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2
Probability of drawing red first and then white = 3/22 * 1/2
Probability of drawing red first and then white = 3/44
To the nearest tenth, 3/44= 0.1
In percent = 6.8%
A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
Answer:15840
Answer:
1750 have a good day
Step-by-step explanation:
Steven’s new cell phone plan charges a flat monthly fee of $24. The plan allows an unlimited number of text messages, but each minute (m) used for phone calls costs $0.15.
The next number in the sequence 3, 7, 12, 18, 25, 33, 42
Answer:
You add 4 and add 5 and then add 6 you add 1 more extra every time!
Step-by-step explanation:
The next number in the sequence is 52. The extended sequence becomes: 3, 7, 12, 18, 25, 33, 42, 52.
To find the pattern in the sequence and determine the next number, let's look at the differences between consecutive terms:
7 - 3 = 4
12 - 7 = 5
18 - 12 = 6
25 - 18 = 7
33 - 25 = 8
42 - 33 = 9
The differences between consecutive terms are increasing by 1: 4, 5, 6, 7, 8, 9. Now, to find the next number in the sequence, we continue the pattern by adding the next number in the sequence of differences: The last difference was 9, so the next difference will be 9 + 1 = 10.
Now, add this difference to the last number in the given sequence:
42 + 10 = 52.
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Is the following number negative, positive or neither?
-15.575
How do you write the expression 18x+30y
Answer:
6(3x+5y)
..................
77.625 as a fraction
Answer:
77 5/8 or 621/8
Step-by-step explanation:
Answer:
77625 / 1000
Step-by-step explanation:
2.Simplify the following mathematical expression?
a.555+(22+343-(16÷8+3-15)
Answer:
[tex]930[/tex]
Step-by-step explanation:
STEP 1: Remove parentheses.
STEP 2: Simplify each term.
STEP 3: Simplify by adding numbers.
Ashton bought DVD at the price of $20. If he also paid 8.5% sales tax, which is closest to the total amount that Ashton paid for the DVD with tax?
A. $1.70
B. $16.95
C. $21.00
D. $21.70
Answer:
A
Step-by-step explanation:
Answer:
A. $ 1.70
Step-by-step explanation:
Find the length of "C" using the Pythagorean Theorem. 14 48
Answer:
50
Step-by-step explanation:
the formula for Pythagorean theorem is A^2+B^2=C^2
14 squared is 196 48 squared is 2304 add them together u get 2500 and u have u get the sqrt of 2500 which is 50.
if there are 7 girls and three boys in the class, what percent of the class is boys ?
Answer:
30% 10 people 3 of 10 is 30%
Step-by-step explanation:
4.Given w(x) =3×-2, v(x) =2×+7 and k(x)= -6x-7, find (w-v-k) (2)?
Answer:
12
Step-by-step explanation:
We input 2 into each function:
w(2) = 3(2) - 2 = 4
v(2) = 2(2) + 7 = 11
k(2) = -6(2) - 7 = -19
Then we place our answers in w - v - k
(4) - (11) - (-19)
= 4 - 11 + 19
= 12
Answer:
3x-2-2x+7--6x-7
3x-2x+6x-2+7-7
3x+4x-2
(7x-2)2
14x-4