Answer:
The right order is given as follows;
_Draw a ray that will become one of the two rays of the new angle, label OB
_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A
_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass
_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
_Construct OJ
Step-by-step explanation:
1) The first step is to draw a line in the location where the angle to be copied is to be constructed
2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays
3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes
4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction
5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)
I know the page is a bit blurry so here’s what question 2 says:
Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?
the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9
Answer: 2:D 3: 1/3 of the fruit, or 80 oranges
Step-by-step explanation:
Answer:
Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1
HELP HAVING BAD DAY
Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?
===========================================
Work Shown:
t = time it takes to go from Jackie's house to her friends house
distance = rate*time
d = 30*t
This represents the distance they travel if they go 30 mph
Then when going back home, they take 6 minutes longer
6 minutes = 6/60 = 0.1 hours
So they take 0.1 hours longer meaning the t updates to t+0.1
d = r*t
d = 25*(t+0.1)
d = 25t+2.5
This represents the trip back home.
Since the distance d doesn't change, we can equate the two right hand sides and solve for t
30t = 25t+2.5
30t-25t = 2.5
5t = 2.5
t = 2.5/5
t = 0.5 hours = 30 minutes
d = 30t = 30*0.5 = 15 miles
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
It will make my life if you help me with this forealzez
Answer:116
Step-by-step explanation:
By definition, a rhombus will have equal opposite angles.
Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.
Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64
Now that we have found out c is 64, we plug it into the angle 2c-12 to get
2*64-12=116.
So again by definition, angle J will be 116 degrees since its an opposite angle.
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35
By completing squares we will see that the solutions are:
[tex]x =\pm \sqrt{35} + 8[/tex]
How to complete squares?
Here we have the quadratic equation:
[tex]x^2 - 16x + 50 = 21[/tex]
We can rewrite it as:
[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]
Then we must have a 8² term to complete squares, then we need to add and subtract 35.
[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]
Now we can solve this:
[tex]x =\pm \sqrt{35} + 8[/tex]
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
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What is the range of the function graphed below?
Answer:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Step-by-step explanation:
Range of a Function
Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.
If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.
Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.
Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.
The first interval of the range is [-4,0)
Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).
The range of f is the union of both intervals:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Answer:
B
Step-by-step explanation:
Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.
Answer:
The rate of the second car is 30 miles/hour
Step-by-step explanation:
The Given formula is:
4(r + 15) + 4r = 300, where r is the rate for the second car
Let us solve the equation to find r
→ Multiply 4 by (r + 15) first
∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60
→ Substitute it in the equation above
∴ 4r + 60 + 4r = 300
→ Add the like terms in the left side
∵ (4r + 4r) + 60 = 300
∴ 8r + 60 = 300
→ Subtract 60 from both sides
∴ 8r + 60 - 60 = 300 - 60
∴ 8r = 240
→ Divide both sides by 8
∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]
∴ r = 30
∴ The rate of the second car is 30 miles/hour
10) Choose the correct answer.
Simple Inequalities:
please help
Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black
Step-by-step explanation:
Answer: 3 ≤ x ≤ 7
Step-by-step explanation:
The number line will have a filled in circle at 3 and a filled in circle at 7.
A filled in circle indicates that the number IS a solution.
An open circle indicates that the number is NOT a solution.
Hope this helps!
dividing a faction by a fraction 3/5 divided 1/3
Answer:
9/5
Step-by-step explanation:
3/5 ÷ 1/3
3/5 ÷ 3/13/5 × 3/1 = 9/59/5
Which of the following equations could you solve by first adding six and then dividing by negative three?
6.3 x= -9
+ 6 = -9
-3
-3 - 6 = -9
3 x-6 = -9
Answer:
-3 x - 6 = -9
Step-by-step explanation:
During this basketball season trey took 250 shots and made 72 shots what was his shooting percent
Rewrite the expression in the form x^N X^3•x^4
X^7
what to always remember is when you multiply numbers of the same base add exponents
Type your response in the box. We each have a different level of health, and that level of health depends on many factors, including our lifestyles and habits. Some factors, however, might be outside our control. In your opinion, which is the biggest factor in determining how healthy you are? your level of physical activity your diet your level of stress factors outside your control, such as heredity Font Sizes
Answer:
Diet
Step-by-step explanation:
Health & fitness level has multiple factors. Some internal choice factors, some externally ascribed factors. Eg(s) - Diet, Excercise & Heredity, pollution respectively.
In my opinion, biggest factor affecting health is : Diet. As, it can affects health positively & negatively, by major extent. It can also help overcoming other health detrimental factors - eg lack of excercise, heredity issues, pollution related issues etc.
Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.
Answer:
792
Step-by-step explanation:
Sorry if im wrong :)
i need help with the first question asap. please explain how you did the problem and why or why not they are porportional
Answer:
No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)
Step-by-step explanation:
The equation of the proportional quantity is y = k x, where k is the constant of proportionalityThis equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zeroTo solve the question graphically, we will use the ordered pairs on the table
→ x → y ⇒ ordered pair
→ 1 → 3 ⇒ (1, 3)
→ 7 → 1 ⇒ (7, 1)
→ 4 → 2 ⇒ (4, 2)
Plot the points
→ Look at the attached graph down
x-axis represents the number of hoursy-axis represents the number of people∵ The line does not cut the y-axis at the origin point (0, 0)
→ That means the equation of the line can not be in the form y = k x
∴ The line does not represent a proportional equation
∴ The number of people and the number of hours are not proportion
I’ll give brainliest
Answer:
B
Step-by-step explanation:
We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.
We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.
Thus, the answer is B.
~ an aesthetics lover
help!
Instructions: Write an expression to represent the given scenario.
Your friend Isabella is growing her hair out so that she can cut it and donate it to a charity that makes wigs for childhood cancer victims. On average, hair typically grows 1.5 cm per month. Write an expression that represents the total growth Isabella should expect based on the number of months, m, she lets her hair grow.
Answer:
y = 1.5m
Step-by-step explanation:
Since we are finding the length after a certain number per month, that means we will be multiplying.
1.5 for EVERY month so it would look like
_ = 1.5m
We can replace the blank with the variable y.
y = 1.5m
Hope that helps and have a great day!
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
please help am confused
Answer:
9%Step-by-step explanation:
432 ÷ 6 = 72
8 = 1% of 800
8 x 9 = 72 = 9%
Step-by-step explanation:
I = P×r%×t
432 = 800 × r/100 × 6
432 = 4800 × r/100
[tex]r = \frac{432 \times 100}{4800} [/tex]
r = 9%
A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
The unit price are:
$0.285 for the 10.5 ounce package
$0.272 for the 29.3 ounce package.
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Step-by-step explanation:
From the question:
A 10.5-ounce package costs $2.99.
The unit price = 1 ounce.
10.5 ounce = $2.99
1 ounce = x
10.5 ounce × x = 1 ounce × $2.99
x = 1 ounce × $2.99/10.5 ounce
x = $0.2847619048
The unit price = $0.2847619048
Approximately = $0.285
A 29.3-ounce package costs $7.98.
The unit price = 1 ounce.
29.3 ounce = $7.98
1 ounce = x
29.3 ounce × x = 1 ounce × $7.98
x = 1 ounce × $7.98/29.3 ounce
x = $0.2723549488
The unit price = $0.2723549488
Approximately = $0.272
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Answer: i did this test
Step-by-step explanation:
PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
19.04
Step-by-step explanation:
convert 170% into decimal form number:
1.7
Then multiply by 11.2:
1.7 × 11.2 = 19.04
Pls consider marking my answer as Brainliest! It would mean a lot!
simplify 3x(4x-5)+3 and its value for X = 3
Answer:
Step-by-step explanation:
3x ( 4x - 5 ) + 3
12x^2 - 15x + 3
12 × 3^2 - 15 × 3 + 3
12 × 9 - 45 + 3
= 108 - 45 + 3
= 66
Hope this helps
plz mark as brainliest!!!!!!
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
98*68-67+87
this is for my lady
Answer:
6684
Step-by-step explanation:
Answer:
6684
Step-by-step explanation:
(98)(68)-67+87
PEMDAS
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six
Answer:
C
Step-by-step explanation:
2-(p*6)
minus=the difference of
(p*6)=p times 6
Fully written out: The difference of two and p times six
Which expression is equivalent to 1/4x+3−1/3x+(−2)?
Answer:
7/12x+5
Step-by-step explanation: