Answer:
45 degrees
Step-by-step explanation:
A reference angle can be found by identifying its terminal side and see by what angle the terminal side is close to the x-axis.
To do this, we can subtract this given angle by the nearest 90° angle.
270° is the closest.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \textsf{Reference angle = 270 - 225}[/tex]
[tex]\implies \textsf {45 degrees}[/tex]
The reference angle is the angle from the x-axis thus 45 degrees will be the reference angle to θ = 225°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
As per the given angle,
θ = 225°
It is going to the third quadrant as shown below,
The reference angle is the angle from x-axis.
The angle from the negative x-axis will be as,
180° + x = 225°
x = 225° - 180° = 45°
Hence "The reference angle is the angle from the x-axis thus 45 degrees will be the reference angle to θ = 225°".
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Question 38 Evaluate sin 45°. Round your answer to the nearest hundredth.
Answer:
≈0.71 or [tex]\frac{\sqrt{2}}{2}[/tex].
sin(45°) = approximately 0.71. The value is also equal to [tex]\frac{\sqrt{2}}{2}[/tex].
Hope this helps!!!
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question 2 help me please
Answer:
90π in²
Step-by-step explanation:
Surface area of cylinder:r = 3 in
h = 10 in
[tex]\sf \boxed{\text{\bf Surface area of cylinder =$\pi r^2h$}}[/tex]
[tex]= \pi 3*3*10\\\\= 90 \pi \ in^2[/tex]
In this question it is given that the radius of a cylinder is 3 inches. The height of the cylinder is 10 inches. We are asked to calculate the surface area of the cylinder in terms of π .
Radius = 3 inches
Height = 10 inches
We know,
[tex] \star \: \small \boxed{\rm{ Surface \: area \: of \: a \: cylinder = πr²h}}[/tex]
Substituting the values we get
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = π × 3² × 10}[/tex]
[tex] \small\rm{ Surface \: area \: of \: a \: cylinder = π × 3 \times 3 × 10}[/tex]
[tex] \small\rm Surface \: area \: of \: a \: cylinder = π × 90[/tex]
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = \bf{90 π \: inches²}}[/tex]
Let's calculate the surface of the ABC triangle from the image if the area of the triangle DBC is 40 square unit,| BC| = 8i| AB| = 14. Corners marked in the image are compliant.
ANSWER: 122.5 square
Answer:
122.5 squared
Step-by-step explanation:
bahh have have aheve shaved she sbdnabd sjsbd akdbd
Which expression represents the number of possible permutations of n items taken r at a time?
Answer: [tex]\frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate factorial.
For instance, 4! = 4*3*2*1 = 24. You start with the given number and multiply your way down to 1.
For more information, check out the nPr permutation formula.
Solve for x. Figures are not necessarily drawn to scale.
Answer:
13.2 units
Step-by-step explanation:
12 is to 7.2 as (12+10) is to x
12/7.2 = (12+10)/x
x = 22 * 7.2/12 = 13.2 units
Based on the information in the table what is the probability of being a girl and choosing lemonade?
Select one:
a.
21%
b.
.20
c.
20%
d.
38%
e.
.38
Using it's concept, it is found that the probability of being a girl and choosing lemonade is given by:
b. 0.2.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 130 people, 26 are girls who choose lemonade, hence the probability is given by:
p = 26/130 = 0.2, which means that option b is correct.
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Write the following inequality in slope-intercept form. 5x-5y>70
The given inequality 5x - 5y > 70 when written in Slope intercept form is gotten as; y < x + (-14)
How to write slope intercept form?The formula for equation of a line in slope intercept form is given by;
y = mx + c
where;
m is slope
c is y-intercept
We are given the inequality as;
5x - 5y > 70
Thus;
Subtract 5x from both sides to get;
-5y > 70 - 5x
divide both sides by -5 to get
y < x + (-14)
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The median is a value in the data set
Answer:
Step-by-step explanation:
The median is defined as the middle value of a data set when all the data is arranged in numerical order.
If there is an even number of values, and therefore no middle value, then the median is calculated as the mean value of the two middle values.
The circumference of the hub cap of a tire is 80.07 centimeters. find the area of this hub cap. use
3.14 for it. if the circumference of the hub cap were smaller, explain how this
would change the area of the hub cap.
the area of this hub cap is about how many
square centimeters?
The area of this hub cap is about 510.44625 cm².
What is Area of Circle?The area of circle is pi times the square of the radius.
Area of circle =π r²
Circumference (C) = 2π r
80.07 = 2 (3.14) r
76.87/ (2x 3.14) =r
r = 12.75 cm
now, Area be
=π r²
= 3.14*12.5*12.75
=510.44625 cm²
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what is lim x→-3 sqrt x^2-8
If the -8 is under the square root, then...
[tex]\displaystyle L = \lim_{x\to -3} \sqrt{x^2-8}\\\\L = \sqrt{(-3)^2-8}\\\\L = \sqrt{9-8}\\\\L = \sqrt{1}\\\\L = 1\\\\[/tex]
OR
If the -8 is not under the square root, then...
[tex]\displaystyle L = \lim_{x\to -3} \sqrt{x^2}-8\\\\L = \sqrt{(-3)^2}-8\\\\L = \sqrt{9}-8\\\\L = 3-8\\\\L = -5[/tex]
Either way, we replace x with -3 and simplify.
For more information, refer to the direct substitution rule for limits.
The limit of [tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex] is one.
What is Limits?A limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity.
The given limit is [tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex]
Now replace x with -3 as limit value is -3
√(-3)²-8
Square root over minus three square minus eight
The three square is nine
√9-8
When eight is subtracted from nine we get one.
√1
The square root of one is always one
[tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex]=1
Hence, [tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex] is one.
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Match the following items by evaluating the expression for x = -7. x-2 x-1 x0 x1 x2
Answer:
[tex] {x}^{ - 2} = \frac{1}{ {x}^{2} } \: \: –> {7}^{ - 2} = \frac{1}{ {7}^{2} } = \frac{ 1}{49} \\ \\ {x}^{ - 1} = \frac{1}{ {x}^{1} } \: –> {7}^{ - 1} = \frac{1}{ {7}^{1} } = \frac{1}{7} \\ \\ {x}^{0} –> {7}^{0} = 1 \\ \\ {x}^{1} –> {7}^{1} = 7 \\ \\ {x}^{2} –> {7}^{2} = 49[/tex]
Which Box-and-Whisker Plot below correctly illustrates the data shown below?
{22, 22, 23, 24, 25, 26, 27, 28, 29, 30}
A.
B.
C.
D.
The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
What is a Box-and-Whisker Plot?A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile.
Here, Given the data set,
30, 22, 22, 27, 28, 23, 24, 25, 26, 23
the five-number summary for the box-and-whisker plot would be:
Minimum: 22
Quartile Q1: 22.75
Median: 24.5
Quartile Q3: 27.25
Maximum: 30
Thus, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
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find the slope between these two points (-8,3) and (6,7)
Answer:
[tex]slo pe \: = \frac{2}{7} [/tex]
Step-by-step explanation:
[tex]y1 = 3\\ x1 = - 8 \\ y2 = 7 \\ x2 = 6[/tex]
[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]sope = \frac{7 - 3}{6 - ( - 8)} [/tex]
[tex]slope = \frac{4}{6 + 8} [/tex]
[tex]slope = \frac{4}{14} [/tex]
[tex] = \frac{2}{7} [/tex]
Answer:
[tex]\textsf{slope}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
[tex]\textsf{let}\:(x_1,y_1)=(-8,3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(6,7)[/tex]
Using the slope formula:
[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-3}{6-(-8)}=\dfrac{4}{14}=\dfrac{2}{7}[/tex]
Therefore, the slope between the two points (-8, 3) and (6, 7) is 2/7
What is the value of x in the equation three-fifths x = negative 45? –75 –27 27 75
Answer:
x = -75
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] x = - 45 ( multiply both sides by 5 to clear the fraction )
3x = - 225 ( divide both sides by 3 )
x = - 75
Answer:
A
Step-by-step explanation:
What is the surface area of the triangular prism shown?
In a test rn!! A right triangular prism. The height of the prism is 25 centimeters. The sides of the triangular ends have lengths 9 centimeters, 12 centimeters, and 15 centimeters.
86 cm2
1,008 cm2
1,350 cm2
1,080 cm2
The surface area will be equal to option B which is 1008 square centimeters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area of the prism will be calculated as:-
SA = area of the three rectangular faces + area of the triangular faces
Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )
= 375 + 300 + 225
= 900 square cm
Area of the triangular [tex]=\sqrt{(s(s-a)(s-b)(s-c)[/tex]
= [tex]\sqrt{(18(18-15)(18-12)(18-9)}[/tex]
= √2916
= 64
Total area of the rectangular face = 2 x 54 = 108
So the total SA area of the prism will be = 900 + 108= 1008 square cm.
Therefore surface area will be equal to option B which is 1008 square centimeters.
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help me plss ty in advanced
Answer:
See below ~
Step-by-step explanation:
Q1
⇒ Remember that sides opposing larger angles are greater in size
⇒ 75° > 54° > 51°
⇒ AC > BC > AB
Q2
⇒ The exterior angles lie outside the triangle
⇒ ∠1 + ∠2 = ∠6 (Exterior Angle Property)
⇒ ∠1 + ∠2 = ∠P (Exterior Angle Property)
⇒ ∠3 = ∠5 (Vertical Angles)
PLEASE HELP ILL MAKE YOU THE BRAINIEST!!
Find the area of the shaded segment of the circle
Answer:
Exact Area =
16pi - 32 square meters
Decimal Approx:
A = 18.3 sq m
Step-by-step explanation:
In degrees, it's 360° all the way around a circle. The 270° in the image is to show you that the small piece (the triangle and yellow segment) are in a 90° part of the circle. That is 1/4 of the circle, this helps with area two ways. We'll find 1/4 of the circle area and also, that makes the triangle base 8 and height 8. This helps us find triangle area. See image.
If the measure of arc AB is 50 degrees, what is the measure of angle ADB?
90 degrees
100 degrees
25 degrees
50 degrees
Answer:
25 degrees
Step-by-step explanation:
arc divided by 2 = angle
50/2=25
Write the equation in slope intercept form
y=-3/4x+0
what is y
Answer + Step By Step Explanation:
There is no single value for y as the input could differ (x)
y = -3/4x
if x = 0, y = -3/4(0) than y = 0
if x = 1, y = -3/4(1) than y = -3/4
...
if x = 5, y = -3/4(5) than y = -15/4
What are the exact values of x and y?
x =
y =
Answer:
see the attachment photo!
A, B & C lie on a straight line.
BD = CD.
∠BDC = 40° and
∠ADB = 45°.
Work out x
Answer:
25
Step-by-step explanation:
Since triangle DBC is isosceles, angles DBC and DCB must be congruent. Angle BDC is 40 so the sum of the measures of the aforementioned angles must be 180 - 40 = 140; divide that by two and you get that the measure of angle DBC is 70. Angles DBC and ABD are supplementary, as they lie on a straight line, so we can deduce the measure of angle DBA is 180 - 70 = 110. The measure of angle DAB is 180 minus the measures of angle DBA and ADB, we figured out angle DBA is 110 degrees and the problem tells us angle ADB is 45 degrees, so we can subtract to get the measure of angle DAB to be 180 - (110 + 45) = 25.
Answer:
25
Step-by-step explanation:
i dont know how to explain i just know thats the answer hahaha
The average cost of regular gasoline per gallon in 2014 was $3.34. In 2015 it decreased $0.94 per gallon in 2016 it decreased another $0.27 per gallon. The average cost increased.36 per gallon in 2017 what was the average cost per gallon at the end of 2017
You decide to buy a car that costs $10,000. The normal depreciation for such a car is 5% per year. How much will the car be worth in 2 years?
Answer:
11,000
Step-by-step explanation:
10% of 10,000 is 1,000 so 5% is 500 and add 2 of 5% you get 1,000 and add it to the old price thus you get 11,000.
One year, the population of a city was 358,000. Several years later it was 286,400. Find the percent decrease.
A percentage is a way to describe a part of a whole. The percentage decrease is 20%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
One year, the population of a city was 358,000. Several years later it was 286,400. Therefore, the percentage decrease is,
Percentage decrease = (358,000-286,400)/(358,000) × 100% = 20%
Hence, the percentage decrease is 20%.
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What is the correct way to write 0.000000056
meter in scientific notation?
Answer:
[tex]5.6 \times 10^{-8}~ m[/tex]
Step-by-step explanation:
[tex]0.000000056\\\\=\dfrac{56}{1000000000}\\\\\\=\dfrac{56}{10^9}\\\\\\=56 \times 10^{-9}\\\\\\=56 \times 10^{-1} \times 10^{-8}\\\\\\=5.6 \times 10^{-8}~[/tex]
If increasing the number of goods produced is one way to increase
productivity, what is the other way to increase productivity?
A. Decrease the resources invested
OB. Raise the price of the goods
OC. Increase market share
OD. Lower the quality of the materials used
Answer: decrease the resources invested
Step-by-step explanation:
Latonya works in a factory where she makes crispy snacks. first, she uses a machine that forms large 100 lb blocks of crispy. she cuts one block evenly into bars that each weigh 8oz. these bars are then pressed into a mold that creates 2 flat square wafers that each weigh 3oz. the left over waste material is put into recycle bins to be used elsewhere. these flat squares are then packed into bags of 5 which are sealed and finally packed into boxes, each containing 14 bags ready to be sent out to the stores. how much weight out of the original 100 lb block as a % is contained in the completely filled boxes (i.e. those containing a full 14 bags)?
The percentage of the original block cookie that is packaged and ready to be distributed to stores is: 12.6%.
How to calculate the biscuit percentage of the original biscuit that is packaged?
To calculate the percentage of the original 100lb cookie that is packaged and ready to be distributed, we must perform the following operations:
We must calculate how much each package of 5 cookies weighs, for this we multiply the weight of each cookie (3 ounces) 0.18 pounds by the number of cookies in each package (5).
0.18lb × 5 = 0.9 lbNext, we need to calculate how much the box containing 14 packages of cookies weighs by multiplying the weight of each package (0.9 lb) by the number of packages in each box (14).
0.9lb × 14 = 12.6 lbLastly, we need to calculate how much percentage the weight of each box is equal to the weight of the original 100 lb cookie that Latonya made. For that we divide 100 lbs. by 100 and multiply the result by the final weight of the box (12.6lbs).
100lbs ÷ 100 = 11 × 12.6 = 12.6%Based on the above, each box contains 12.6% of the first 100-lb cookie Latonya made.
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does someone mind helping me with this problem? Thank you!
Answer:
78
Step-by-step explanation:
= 12 x^2 - 30 put in ' - 3 ' for 'x'
= 12 ( -3 )^2 - 30
= 12 (9) - 30 = 78
Answer:
78
Step-by-step explanation:
Expression:
6(2x² - 5)Evaluate x = 3 according to the question:
[tex]6 \{2 (- 3) {}^{2} - 5) \}[/tex]
Solve this problem, applying PEMDAS.
[tex]6 \{2( - 3 \times - 3) - 5 \}[/tex][tex]6 \{2(9) - 5 \}[/tex][tex]6 \{18 - 5 \}[/tex][tex]6 \{13 \}[/tex][tex]78[/tex]Hence,the answer to the given expression is 78.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
0.1
Step-by-step explanation:
You are adding on 0.1 for each line and since G is the first line after 0, it is 0.1.
Answer this for 10 pts pls
Answer:
c and a
Step-by-step explanation:
Answer:
it's both A and C
Step-by-step explanation:
2 x 3/8 is the same as 3/8 + 3/8