Answer:
it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree
Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
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Answer:
The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)
Step-by-step explanation:
The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing
The given parameters of the scale drawing are;
The scale of the drawing is 1 cm = 2 m
The dimensions of the rectangle representing the garden in the scale drawing is given as follows;
The width of the rectangle = 2.5 cm
The length of the rectangle = 4 cm
The required location where the tree is to be planted = 7 m from A and 4 m from point C
Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C
Taking the coordinate of point A as the origin, we have;
The coordinates of point A = (0, 0)
∴ The coordinates of point C = (4, 2.5)
The general equation of a circle is (x - h)² + (y - k)² = r²
Where, (h, k) is the coordinate of the center of the circle
The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C
Therefore, for point A, we have;
(x - 0)² + (y - 0)² = 3.5²
x² + y² = 12.25...(1)
For point C, we have;
(x - 4)² + (y - 2.5)² = 2² = 4
Which gives;
x² - 8·x + 16 + y² - 5·y + 6.25 = 4
x² + y² - 8·x - 5·y + 22.25 = 4
We have x² + y² = 12.25 from equation (1), therefore, we have;
12.25 - 8·x - 5·y + 22.25 = 4
- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5
∴ 8·x + 5·y = 30.5
y = (30.5 - 8·x)/5
Therefore, we have;
x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25
Using a graphing calculator we get;
356·x² - 1952·x + 2496 = 0
Which gives;
x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)
x = 3.452197227 or 2.03094884081
To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;
Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368
or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547
y = 0.5764844368 or 2.8504818547
To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;
(3.45, 0.58) or (2.03, 2.85)
We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.
Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)
Answer:
Step-by-step explanation:
Make sure to use protractor and cross tools to get full marks
Thank you
Ashley purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost s that Ashley paid.
Answer:
5n=s
Step-by-step explanation:
5*n notebooks
5n=s
Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden. Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam. This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears. Which batch of jam tasted more like cranberries?
Answer:
The batch of jam from this summer
Step-by-step explanation:
Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden.
For last summer
Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam.
Hence,
5 cup of pears = 3 cups of cranberries
1 cup of pears = x
Cross Multiply
5x = 3
x = 3/5
x = 0.6
1 cup of pears = 0.6 cup of cranberries
For this summer
This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears.
Hence,
8 cup of pears = 5 cups of cranberries
1 cup of pears = x
Cross Multiply
8x = 5
x = 5/8
x = 0.625
1 cup of pears = 0.625 cup of cranberries
From the above calculation we can see that the quantity of cranberries to 1 cup of pears from this summer is higher than that of last summer
Therefore, the batch of jam that tasted more like cranberries is the batch of jam from this summer
Answer:
This summer’s batch jam tasted more like cranberries.
Step-by-step explanation:
IXL
Answer pllssssssssssssss
Answer:
30%
Step-by-step explanation:
30 blocks are shaded out of the 100
Write the equation of the line passing through the points (-4,5) and (4,1). Show all of your work.
[4 points)
please someone help me with this
First, find the slope using the equation, y2 - y1 / x2 - x1
1-5 / 4 - - 4 = -4/8 = -1/2
plug this into slope intercept form
y = -1/2x + b
Next use one of the points to find b using point-slope form. I will use (4,1)
y - y1 = m ( x - x1)
y - 1 = -1/2 (x - 4)
y -1 = -1/2x + 2
+1 +1
y = -1/2x + 3 is your equation
John ran of a mile in 8 minutes. If he continues running at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12 minutes D) 16 minutes
Answer:
The answer is D because, John is gonna keep running the multiples of 8.
Step-by-step explanation:
8X2= 16
f(x)=x²+4 What is the value of when f(x)=4
Solve for t.
-18 = 6t
O
ot=-3
ot =
t=-
O t = 12
O t = 24
Answer:
-3
Step-by-step explanation:
divide both side by 6 to find t
You can use a root to undo...
A. An exponent
B. An equation
C. A multiplication problem
D.A division problem
Answer:
multiplucation problem
Step-by-step explanation:.
Help solve for x please
Anybody know how to do # 14, 15, and 16? Would also be nice if yall told me if any of these were wrong
Step-by-step explanation:
1. Right
2. Right
3. Right
4. Right
5. Right
6. Right
7. Its not properly visible sorry for this.
8. Its wrong
[tex] (\frac{1}{3} ) {}^{2} = \frac{1}{9} [/tex]
9. Right
10. Its wrong
[tex]0.5 {}^{3} = 0.125[/tex]
11. Right
12. Its wrong.... Bcz square of minus is plus
[tex] - 9 {}^{2} = 81[/tex]
13. Right
14. According to the BODMAS rule..
[tex]15 - 7 \times 2 + {2}^{3} [/tex]
[tex]15 - 14 + 8[/tex]
[tex]1 + 8 = 9[/tex]
15.
[tex](11 - 8) {}^{2} - 2 \times 6[/tex]
[tex]3 {}^{2} - 12[/tex]
[tex]9 - 12 = - 3[/tex]
16.
[tex]12 + \frac{ {9}^{2} }{3} [/tex]
[tex]12 + \frac{81}{3} [/tex]
[tex]12 + 27 = 39[/tex]
Hope this helps u... ✌️❤️
The table shows the running speeds of 10 randomly selected grizzly bears.
Please Help
Will give brainiest
Stay safe and healthy
Answer:
No, because not all of the pairs represent the same ratio. ...
Mia puts 15 animal stickers in 3 equal rows in her sticker book. She puts 28 flower stickers in 4 equal rows. How many more flower stickers than animal stickers are in each row?
Answer:
2
Step-by-step explanation:
Animal Stickers = 15
Flower stickers = 28
15/3= 5 in each row
28/4 = 7 in each row
7-5= 2
Hard Equation that equals 1-25
Answer:
8000000000000000000000000000000000
Answer:
5X5=
-X4=
-+25=
-divide by 5=
Step-by-step explanation:
hope thats ok for you please mark me as brainliest
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
Vhat is the value of x in the equation 3x - 2y = 18, when y= 27?
Answer:
x = 24
Step-by-step explanation:
3x - 2y = 18
y = 27
3x - 2(27) = 18
3x - 54 = 18
3x = 72
x = 24
Answer:
x=24
Step-by-step explanation:
3x-2y=18
Put the y value where it belongs...
3x-2(27)=18
3x-54=18 Separate the x
+54 +54
3x=72 Divide
x=24
6. Which number is equal to 7(3.5x104) written in scientific notation?
A.245x70
B.2.45x105
C.24.5x104
C.1.05x10
Answer:
C
Step-by-step explanation:
This is basically:
7 x 3.5 x 104 = 24.5 x 104
6 identical toys weigh 1.8kg. a) convert 1.8kg to grams. b) what is the weight of one toy? Give your answer in grams. c) how much would 4 toys weigh? Give your answer in kilograms
Answer: a) 1800g b) 300g c) 1200g
Step-by-step explanation:
a) 1.8 x 1000 = 1800g
b) 1800g / 6 toys= 300g > the weight of one toy
c) 300g x 4 toys = 1200g / 1000 = 1.2 kg
Answer:
a. 1.8kg to grams
1000g =1kg
x =1.8kg
cross multiply
x = 1.8 x 1000
x= 1800g
b. weight of one toy
6 toys = 1800g
1 toy = 1800÷6
1 toy = 300g
c. 1kg = 300g
4toys = x
x = 4 x 300
x = 1200g
1200g to kilogram
1000g = 1kg
1200g = x
cross multiply
1000x = 1200
x = 1200÷1000
x = 1.2kg
Q8.
On a farm
one-fifth of the animals are goats
25% of the animals are sheep
the rest of the animals are cows.
What fraction of the animals on the farm are cows?
Give your answer in its simplest form.
Answer:
28/5
Step-by-step explanation:
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,
m = [tex]\frac{-10-18}{2+2}[/tex]
m = -7
2). From the table attached,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of line passing through (4, -6) and (0, -2) will be,
Slope = [tex]\frac{-6+2}{4-0}[/tex]
Slope = -1
PLEASE IM BEGGING MAN I DONT WANNA FAIL MATH PLEASE HELP ME
what is the value halp me
Answer- This is a fairly simple calculation, I got a -1/5,
Step-by-step explanation:
This is the way solved it, just substitute the x value for 1, and just solve. Hope it helps.
i need the answer to this asap, plzz
Answer:
[tex]\mathrm{D.\:}\sqrt{126}[/tex]
Step-by-step explanation:
All three triangles in the figure are similar. Therefore, we can set up the following proportion:
[tex]\frac{18}{m}=\frac{m}{7}[/tex]
Cross-multiply to solve:
[tex]m^2=18\cdot 7 = 126, \\\\m=\fbox{$\sqrt{126}$}[/tex].
Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?
Which of the following is the best deal? A. 6-oz box of crackers for $1.08c. 8-oz box of crackers for $1.20b. 7-oz box of crackers for $1.19d. 9-oz box of crackers for $1.26
Answer:
Step-by-step explanation:
The answer is D
1.19/7-.17
1.20/8-.15
1.26/9-.14
1.08/6-.18
i think this is it
POSSIBLE POINTS: 100 A theater has group prices for tickets. The first ticket will cost $8 while each additional ticket will cost $5. Write a rule to model the situation. Then use the rule to find how the total cost of 13 tickets. Let n represent the number of tickets and c represent the total cost
Answer:
c = 8+5n
total cost of 13 tickets = $68
Step-by-step explanation:
c = 8 + 5(12)
c = 8 + 60
c = 68
(i put 12 because were already adding 8 for that ONE ticket)
Mr Paul bought 2 bags of fertilizer at $75 a bag,a wheelbarrow for $350 and 3 spades at $130 a spade.he paid $1000 to the cashier how much change did he receive plz explain
Answer:
$110
Step-by-step explanation:
1000-75-75-350-130-130-130=$110 in change
An electrician charges a flat fee for each job, plus an hourly rate for each hour he takes to complete the job. The total cost of the job can be modeled by the equations y = 50 + 65x. What does the independent variable represent in this situation?
Answer: The independent variable = x which represent the the number of hours taken to complete the job.
Step-by-step explanation:
Independent variable is the variable on which dependent variable is dependent.In the given function: y = 50 + 65x, x = Number of hours, y = Total cost of the job.
Here, total cost of the job depends on the number of hours.
So the independent variable = x which represent the the number of hours taken to complete the job.
1. What is the equation of the line?*
Answer:
1
Step-by-step explanation: