1° and 14° are acute angles.
An acute angle is one that is less than 90°, or one that is between 0° and 90°.
The opposite of an acute angle is an obtuse angle. In other terms, an obtuse angle is one that is larger than 90° and less than 180°. It is the angle that is between 90° and 180°.
90° is the standard for a right angle. Any angle that is less than 90° is called acute, and any angle that is larger than 90° is called obtuse.
∠1 and ∠14 are less than 90° therefore, they are acute angles.
Correct question :
What type of angle are 1° and 14°?
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a rectangle has a length that is twice the size of its width. if the perimeter of the rectangle is 48 inches, what is the area of the rectangle in square inches?
The area of the rectangle is, 128 square inches.
What is perimeter, area?
The area of a shape or figure is the area it occupies, whereas the perimeter of a shape is the distance it encircles on all sides.
The square unit or unit2 is used as the unit of area, and the unit is also used for the perimeter.
Given: A rectangle has a length that is twice the size of its width. The perimeter of the rectangle is 48 inches.
Suppose the width of the rectangle is x.
So, the length is 2x.
As perimeter is 48 inches.
So, x + x + 2x + 2x = 48
6x = 48
x = 8 inch.
The width of the rectangle is 8 inches.
Therefore, the length of the rectangle is 2x = 2(8) = 16 inches.
Now to find area of the rectangle,
Since,
Area of rectangle = length x width
= 16 x 8
Area of rectangle = 128 inch^2.
Therefore, the area of the rectangle is 128 square inches.
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what is the range of :
-6
-2.
11
8
10
12
Answer:
18
Step-by-step explanation:
The range is the biggest number minus the smallest number.
The biggest number is 12.
The smallest number is -6 .
Range = 12-(-6) = 18
2(x + 7) = 6x + 9 - 4x
EXPLANATION
Given the equation:
2(x+7) = 6x + 9 -4x
Applying distributive property:
2x + 14 = 6x + 9 -4x
Adding similar terms:
2x + 14 = 2x + 9
Subtracting -2x to both sides:
14 ≠ 9
--->The equation hasn't got solution.
HURRY PLS URGENT! HIGHLY APPRECIATE.
Answer:
b = 18
The mortar is 17 times ( 3 / 8 ) tall.
The brick height is equal to 18 times ( 2 + ( 1 / 4 ) ).
I don't know the options, so you have to use those values.
Step-by-step explanation:
DecipheringThe question uses imperial units which are generally bad.
12 inches = 1 feet;
The height of the wall should be written in inches for convenience.
4 feet = 4 * 12 inches;
4 feet = 48 inches;
The wall is short 1 + ( 1 / 8 ) inches short of 4 feet.
48 inches - ( 1 + ( 1 / 8 ) inches ) = 46 + ( 7 / 8 ) inches;
Now that the wall is done let's do the bricks. The height of the bricks is 2 + ( 1 / 4 ) inches and the mortar is ( 3 / 8 ) inches tall. The amount of mortar is the number of bricks - 1 because nobody puts extra mortar on the top of the wall.
Algebralet b;
46 + ( 7 / 8 ) = b( 2 + ( 1 / 4 ) ) + ( b - 1 )( 3 / 8 );
375 / 8 = b( 9 / 4 ) + ( 3 / 8 )b - ( 3 / 8 );
375 / 8 = ( ( 9 / 4 ) + ( 3 / 8 ) )b - ( 3 / 8 );
375 / 8 = ( ( 18 / 8 ) + ( 3 / 8 ) )b - ( 3 / 8 );
375 / 8 = ( 21 / 8 )b - ( 3 / 8 );
Multiply both sides by 8 to get rid of those annoying fractions.
375 = 21b - 3;
Add 3 to both sides.
378 = 21b;
Divide both sides by 21.
18 = b;
14. A can of vegetables has a paper label that covers the lateral surface are can, 4 in. 2.6 in. What is the lateral surface area of the can onded to the
We will have that the lateral area will be the following:
*First, we can see that if we were to cut a straight vertical line and unfold the label, we would get a rectangle, thus the surface area of the label will be given by:
[tex]S_A=h\cdot C[/tex]Here h is the height of the label and C is the circumference of the base, that is:
[tex]S_A=h\cdot2\pi r[/tex]Now, we determine the radius of the base, that is:
[tex]r=\frac{2.6}{2}\Rightarrow r=1.3[/tex]Now, we replace the values and solve for the surface area:
[tex]\Rightarrow S_A=(4)\cdot(2)\pi(1.3)\Rightarrow S_A\approx32.7[/tex]So, the surface area of the label on the can is approximately 32.7 squared inches.
Draw a reference triangle and find the trig ratio for the angle (if possible) without a calculator.
Recall the definition of the cosecant function in terms of the sine function:
[tex]\csc (x)=\frac{1}{\sin (x)}[/tex]Draw the angle -210º in the unit circle to find a reference triangle for that angle:
Notice that a 30-60-90 triangle is formed:
Since the side opposite to the 30º angle has a length of 1/2, then:
[tex]\sin (30º)=\frac{1}{2}[/tex]On the other hand, notice that since the angle of -210º lies in the second quadrant, then the value of sin(-210º) is positive:
[tex]\sin (-210º)=\sin (30º)=\frac{1}{2}[/tex]Use the definition of the cosecant function to find csc(-210º):
[tex]\csc (-210)=\frac{1}{\sin (-210º)}=\frac{1}{(\frac{1}{2})}=2[/tex]Therefore, the value of csc(-210º) is equal to 2.
Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? +3(4-1) - 7 + 2³ Step 1: = // +3(3) - 7 + 2³ Step 2: = + 3(3) 7 + 8 Step 3: = Step 5: Step 6: = Step 4: = O A. B. - O c. O D. S 15 (3) 7 + 8 45 - 7 + 8 31+8 Step 5 Step 4 Step 1 Step 3 A
Answer:
Step 3
Step-by-step explanation:
The mistake was made in Step 3.
At basketball practice you made 21 out of 80 shots.
Which choice is closest to the percentage of shots you made?
Answer: 26.25% basketball practice
Step-by-step explanation: At basketball practice I made 21 out of 80 shots.
Therefore the percentage of shots I made is = 21/80×100%
=26.25%
Let g(x) be the transformation of f(x) = IxI so that the vertex is at (-1, -3). Identify the rule for g(x) and its graph.
EXPLANATION
Since the vertex is at (-1, -3), the only appropriate option is to translate the function one unit to the left, and again translating 3 units down, with the following form:
g(x) = |x+1| - 3
Therefore, the solution is the last option.
Help da brother out.
Answer:
y=2x+5, y=4x, y=-3+9/2x
Step-by-step explanation:
8x+4y=20 turns into:
y=2x+5
3y-12x=0 turns into:
y=4x
9x-2y=6 turns into:
y=-3+9/2x
on a test consisting of 250 questions, jassi answered 40% of the first 125 questions correctly. what percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%
test of 250 questions
40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok
If jassi needs 60% of the 250 ok, that is 250(0.6) = 150
If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125
If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%
Answer:
Jassi needs 80% of the second 125 questions to be ok
what mathematical symbol goes between the two parentheses to show that you will be using the distributive property?
dont give explanation just answer qquick!
8 x 57 = (8 x 50) _____(8x7) 6th grade math
The addition symbol (+) can be used in between the two parentheses to show that you will be using the distributive property.
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
It can be written as,
a x (b + c) = (a x b) + (a x c)
Where a, b and c are the values of the variables.
Given,
Here we have the expression:
8 x 57 = (8 x 50) _____(8x7)
Here we need to find the symbol that can be used in between the two parentheses to show that it will be using the distributive property.
Based on the definition of the distributive property we have know that the symbol (+) can be used to make this one as distributive property used equation.
Therefore, the expression is written as,
8 x 57 = (8 x 50) + (8x7)
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-5x8+x²+6 please help
Answer:[tex]\left(x^2+1\right)\left(5x^6-5x^4+5x^2-6\right)[/tex]
Step-by-step explanation:
Find the median AM of triangle ABC whose height point has the coordinates: [tex]A(0; 1), B(1; -4), C(5; 2)[/tex]
The value of the coordinates of the median AM is (0.5, -1.5)
How to find the median AM of the triangle?Given: A(0,1), B(1, -4), C(5,2)
Consider the image attached:
The distance AM is the midpoint of the distance AB. So we can use the midpoint formula:
Xm = (Xa + Xb) /2 and Ym = Ya + Yb/2
Where Xm and Ym are the x and y coordinates of the midpoint M
SInce A(0,1): Xa = 0, Ya = 1
Also B(1, -4); Xb = 1, Yb = -4
Xm = 0 + 1/2 = 1/2 = 0.5
Ym = 1 + (- 4)/2 = -3/2 = -1.5
Therefore, the coordinates of the median AM is (0.5, -1.5)
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Use the associate property to write an expression equivalent to (w+9)+3
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (w+9)+3
The operator in given expression is plus and variable is W.
The associative property of addition states that Changing the grouping of addends does not change the sum.
(x+y)+z=x+(y+z)
Similarly (W+9)+3=W+(9+3)
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
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Which of the following statements is true about congruent angles?
Answer: Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles. They are seen everywhere, for example, in equilateral triangles, isosceles triangles, or when a transversal intersects two parallel lines.
Step-by-step explanation:
Identify the reaction type for each generic chemical equation. a b → ab: ab → a b: hydrocarbon o2 → co2 h2o: ab cd → ad cb:
For all the given reactions there is a type name for it they are,
1. A + B → AB
2. AB → A + B
3. Hydrocarbon + O₂ → CO₂ + H₂O
4. AB + CD → AD + CB
All the above-mentioned chemical reactions are of the following types
1 → Synthesis
2 → Decomposition
3 → Combustion
4 → Replacement
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The equations y = 7x-2 and 14x- 2y = 3 represent what?parallel linesperpendicular linesthe same lineintetsecting, non perpendicular lines
As a first step we are going to isolate y in both equations:
(1) y=7x-2
(2) -2y=-14x+3
y=7x-3/2
Since they have the same slope 7, that mean these lines are parallel
In ∆ STU, the measure of < U=90°, UT=12, SU=35, and TS=37. What ratio reprecents the secant of < T?
By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").
You can identify that the triangle STU is a Right triangle, because:
[tex]\angle U=90\degree[/tex]The following is one of the Trigonometric ratios. It's called "Secant":
[tex]\sec \alpha=\frac{hypotenuse}{adjacent}[/tex]In this case you can identify that:
[tex]\begin{gathered} \alpha=\angle T \\ hypotenuse=TS=37 \\ adjacent=UT=12 \end{gathered}[/tex]Then, substituting values, you get that the answer is:
[tex]\sec \angle T=\frac{37}{12}[/tex]What is the slope of the line? No need to answer the one above because I already know it. All I want to know is the slope. Thanks
A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function ��(��) =− 2�� , where x is the price of each bicycle. Which of the 2+ 920�� + 84, 000 following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?
A. $210
B. $230
C. $250
D. $270
A sale price for the bicycles that would allow this company to achieve a profit of $189,800 is: B. $230.
How to determine the sale price for the bicycles?In order to determine the sale price for the bicycles that would make it possible for this company to achieve a profit of $189,800, we would simply evaluate the profit function by substituting the value of the profit as follows:
P(x) = −2x² + 920x + 84,000
189,800 = −2x² + 920x + 84,000
Re-arranging the profit function by collecting like terms, we have:
2x² + 920x + 189,800 - 84, 000 = 0
2x² - 920x + 105,800 = 0
Dividing both sides by 2, we have:
x² - 460x + 52,900 = 0
Next, we would solve the quadratic equation by using factorization method:
x² - 230x -230x + 52,900 = 0
x(x - 230) + 230(x - 230) = 0
(x - 230)(x + 230) = 0
x = 230 or -230
Since the price cannot be negative, the required sale price for this company is equal to $230.
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Complete Question:
A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function P(x) = −2x² + 920x + 84,000, where x is the price of each bicycle. Which of the following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?
A. $210
B. $230
C. $250
D. $270
lia has taken a mathematics exam, and she wants to calculate an 88% confidence interval to represent the exam scores within her group of friends. what are the z statistics that fall at each line marking the middle 88% of scores in the distribution?
In the given scenario, in order to calculate an 88% confidence interval, the z statistics that fall at each line marking the middle 88% of scores in the distribution would be +/- 1.555 (from the table).
In a case of seeking 88% confidence interval, the implication is that there is 12% chance that the interval does not contain the true value i.e., α=0.12 Assuming a two-sided test, it means that there should be 6% chance attributed to each tail of the z statistics (distribution). Thus, zα/2= z0.06.This z value at α/2=0.06 is the coordinate of the Z-curve that has 6% of the distribution's area to its right, and thus 94% of the area to its left. It is determined by z-value by reverse-lookup in a z-table. Find the closest value in the table to 0.9400 as possible, then see what its row and column is. From observation, it is seen that 0.9394 and 0.9406 are in the table with z -values of 1.55 and 1.56 respectively.We use liner interpolation to find the experimental z-score:Hence the z score = 1.5550
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What are the domain and range of the function below?
Answer:
Domain: [0,∞)
Range: (-∞,4]
Step-by-step explanation:
The domain is the numbers along the x-axis, and the range is the numbers along the y-axis. This graph includes a domain from zero to infinity and a range from negative infinity to four. The parentheses () mean that these numbers aren't included, and since infinity isn't an actual number, it gets a parenthesis. The brackets [ ] are used to include a number exactly. Since four and zero are real numbers and are included in this graph they get brackets. We also know that four and zero are included because the dot at point (0,4) is solid and not hollow, which means those numbers are to be included in the domain and the range. Also something to note: you always write the domain and range going from the smallest number to the largest number, this is why the range is written as (-∞, 4] and not [4, -∞).
Please help me find this
Center of circle = (-3, 6)
Diameter = 6
General equation of circle: x² + y² = r²
our answer will be in the form:
(x+a)² + (y+b)² = r²
Substitute center values and radius:
a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)
b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)
r = 6/2 which is 3
answer: (x+3)² + (y-6)² = 3²
Your bill at TGI Friday's was $90.00. If you leave a 20% tip, what will your total Bill be ? TIP = Total bill = ---- + ---- =
Its a bill question , and percentages
20% of $90.00 .
then 10% of $90 is 9 dollars
so then 2x10% = 20% of $90 is 2x9= 18 dollars
Now add then original pay to tip Pay ,
then
Pay original + Tip = $90 + 18 = $108 dollars
Given mn, find the value of x.
(2x-5)°
(3x-22)°
If m || n and line t cuts them, the value of x is 17 degree
Given that, the line m || line n. and we need to find the value of x
If two lines are parallel and a transversal cuts them then the corresponding alternate interior angles are equal.
Here, line m and line are parallel anf the transversal t cuts them, so the alternate interior angles will be same
2x - 5 = 3x - 22
2x - 3x = - 22 + 5
- x = - 17
x = 17
Therefore, if m || n and line t cuts them, the value of x is 17 degree
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Solve The Equation, x= ?
Answer:
x=1Step-by-step explanation:
To solve the equation of 7/3x+1/3x=1+5/3x, isolate the term of x from one side of the equation.
First, you subtract by 5/3x from both sides.
[tex]\rightarrow \sf{\dfrac{7}{3}x+\dfrac{1}{3}x-\dfrac{5}{3}x=1+\dfrac{5}{3}x-\dfrac{5}{3}x}[/tex]
Solve.
[tex]\rightarrow \boxed{\sf{x=1}}[/tex]
Therefore, the solution is x=1, which is our answer.
I hope this helps, let me know if you have any questions.
w + 3/5 = 1/2 solve for w and simplify your answer as much as possible
Answer: W=−1/10
Step-by-step explanation:
Move all terms not containing
W
to the right side of the equation.
Exact Form:
W=−1/10
Decimal Form:
W=−0.1
david drives from his home to the airport to catch a flight. he drives 3535miles in the first hour, but realizes that he will be 11hour late if he continues at this speed. he increases his speed by 1515miles per hour for the rest of the way to the airport and arrives 3030 minutes early. how many miles is the airport from his home?
David takes a car to get to the airport in time for his trip. 210 miles distance is the airport from his house in miles.
Given that,
David takes a car to get to the airport in time for his trip. He travels 35 miles in the first hour but understands that if he keeps going at this rate, he will be one hour late. For the final 15 miles to the airport, he speeds up by 15 mph and gets there 30 minutes early.
We have to find how far is the airport from his house in miles.
Distance traveled after 1 hour
Let us take the distance traveled after first 1 hour as y
Distance/speed = time
After 1 hour his speed = (35 + 15) = 50 mph
Total time count of 1 hour and 30 mins is 1.5 hr
y/50 + 1.5 = y/35
Multiply through by350
7y + 525 = 10y
3y = 525
y = 525/3
y = 175 miles
In the first 1 hour, at 35 mph, distance covered = 35 miles
Distance from his home to airport = 175 miles + 35 miles = 210 miles
Therefore, the distance between David's home and the airport is 210 miles.
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the mean cost of a five pound bag of shrimp is 40 dollars with a variance of 36. if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 2.5 dollars? round your answer to four decimal places.
The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062
Mean cost of the five pound shrimp bag = $40
Variance of the five pound shrimp bag = $36
The number of the shrimp bag = 43
The given mean value = $2.5
The z-score = $2.5
The probability of the sample mean differ by $2.5 from the true mean can be calculated by
P(z > 2.5) = 1 - P(z < 2.5)
From the z table , we can get the value of z < 2.5 which is 0.9938
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062
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