Answers
1) Not Congruent
2) Congruent
3) Congruent
4)Congruent
Related Questions
Which of the following is a simpler way to write startfraction cosine theta over sine theta endfraction? tan theta sec theta csc theta cot theta
Answers
The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.
We have the expression:
[tex]\rm \frac{cos \theta}{sin \theta}[/tex]
we know that
[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]
also,
[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]
So, By using these trigonometry formulas, we get:
[tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex] is cot [tex]\theta[/tex].
Know more about trigonometry here:
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Answer:
D. cot 0
Step-by-step explanation:
In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?
Answers
Answer:
B
Step-by-step explanation:
This problem can be solved using a venn diagram! Just draw bubbles and the common numbers! I attached an image below!
With these numbers we can see how many there are in common. By subtracting the common numbers we get that there are 4 that don't like any. So the answer is B.
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C.
Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle.
Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle.
Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square.
Who is correct?
Only Alicia is correct.
Only Benjamin is correct.
Only Caleb and Benjamin are correct.
Only Caleb is correct.
Alicia, Benjamin, and Caleb are all correct
Answers
What is it? pls help!
Answers
Answer: rational number
Step-by-step explanation: -2.33333 ...
Answer:
Classifications 1 & 2
Step-by-step explanation:
Real number: because It is located on the number line, belongs to negative numbers.
Rational number: because it is a fraction (quotient)
-7/3 it is not a integer number or whole number
Hope this helps
help me plsssssssssssaaaa
Answers
Answer:
the area would be 11/6 yards^2
or 1 5/6 yards^2 or 1.8333333...yards^2
Step-by-step explanation:
turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify
Step-by-step explanation:
Turn 2 3/4 into an improper fraction
11/4
Multiply both fractions
2/3 × 11/4 = 22/12
Simplified is 11/6 (you divide 22/12 by 2)
You have several boxes with the same dimensions. They have a combined volume of 4x4-21x²-46x + 219x + 180. Determine whether the binomial below could represent the number of boxes you have.
x+3
A) Yes; x+3 divides evenly. you get 4x^3-33x^2+53x+60
B)No; x-3 does not divide evenly. You get 4x^3-33x^2+53x+60 with a remainder of 12.
C)No; x+3 divides evenly. you get 4x^3-33x^2+53x+60
Answers
Answer:
The following are the choices for this problem:A. x+4 B. x+3 C. x-5 D. 4x+3
Factoring 4x^4-21x^3-46x^2+219x+180, this will give us then the short answer of x+4.
The factor theorem states that if x-n is a factor of function f(x) = 4x^4-21^3-46^2+219x+180 then f(x) = 0.
So let us evaluate f(-4) which gives 4(256) - 21(-64) -46(16) +219(-4) + 180 = 936
Since the function f(-4) does not equate to zero, we could say that x+ 4 is not a factor.
So using x+3: f(-3) = 4(81) - 21(-27) -46(9) +219(-3) + 180 = 0, so x+3 is a factor.
Step-by-step explanation:
hope this helps if do mark brainllest
Enlarge the house using a scale factor of 1 : 2.
Answers
Answer:
See picture & explanation below.
Step-by-step explanation:
The scale is 1:2, so everything is doubled in size.
Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.
See the picture below.
What are the factors of m2 – 12m 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4
Answers
Answer:
B
Step-by-step explanation:
-10 and -2
Answer:
-10 and -2
Step-by-step explanation:
sinxcscx - cos^2x = sin^2x Verify it pls explain how so i know how to do it
Answers
Step-by-step explanation:
sin(x)×csc(x) - cos²(x) = sin²(x)
csc(x) = 1/sin(x) (basic definition)
therefore,
sin(x)×csc(x) = sin(x) × 1/sin(x) = 1
1 - cos²(x) = sin²(x)
1 = sin²(x) + cos²(x)
and that is again a basic definition based on the standard circle with radius = 1. there we have the Pythagoras principle, as sin and cos are the legs of a right-angled triangle, with radius 1 being the Hypotenuse.
Please help, I need it soon.
Answers
For cubic feet
Solution
Formula : volume base area x height
So base area = 4v^2 +5v+3
Height = 2v+1
So multiply
Volume =(4v^2+5v+3) x(2v+ 1)
The rest is below
What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
please help!!!!!!!!!!!!!!
Answers
Answer:
y2=(1/2)x-9
Step-by-step explanation:
y= -2x-4
perpendicilar so multiplication of slope is -1
-2*m2=-1
m2=1/2
y2=(1/2)x+c need to passes trough (2,-8)
-8=(1/2)*2+c
-8=1+c
c=-9
y2=(1/2)x-9
What’s the answer I need help asap
Answers
Answer:
The equation is y = x-2
The equation of the line will be y = x - 2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table consider the two points as,
( 14, 12 )
( 13, 11 )
The slope is calculated as,
[tex]m = \dfrac{12 - 14}{11-13}[/tex]
m = 1
The y-intercept is calculated as,
y = mx + c
y = x + c
12 = 14 + c
c = -2
The equation of the line can be written as,
y = mx + c
y = x - 2
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A rectangle has a width of 8 inches. The perimeter of the rectangle is 40inches. What is the length of the rectangle, in inches?
Show the formula please and work plus answer thank you
Answers
Answer:
12
Step-by-step explanation:
You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).
PLEASE HELP
Find the length of the missing side of a right triangle if a=6 & c=11
rad85
rad157
rad5
rad17
Answers
You have to use the Pythagorean Theorem.
a² + b² = c² is the same as c² - a² = b²
c = 11
11² = 11 × 11 = 121
a = 6
6² = 6 × 6 = 36
121 - 36 = 85
√85 = 9.2
b = 9.2
I hope this helps! :)
pleaseeeeeeeeee help math
Answers
Answer: 8
Step-by-step explanation: to find 20% multiply 40 by .20
40*0.2 which gives u the answer 8
In the figure below
Answers
The product of two integers is 72.
If one integer is 9 what is the other integer?
Answers
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answers
Answer:
$76.80
Step-by-step explanation:
since you can't multiply to more easially get your answer you want to divid ethe $51.20 by 2 which = $25.60
he get's 25.60 for 40 miles
since 120 divided by 3 = 40 this means:
40x3=120
25.60x3=76.80
25.60+25.60=51.20+25.60= 76.80
Hope this helps!
Brainliest please!
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Have a great day!
Find the area of the shaded region. Round your answer to the nearest tenth.
please help
Answers
Answer:
41.0 cm^2 to nearest tenth.
Step-by-step explanation:
Required area = Area of the semicircle - area of the clear triangle
Area semicircle = 0.5πr^2
= 0.5π *6^2
= 18π.
Finding Altitude h of the triangle :
cos 60 = h / 6
h = 6 cos 60 = 6 * 1/2
= 3.
Finding Base b of the triangle:
sin 60 = 0.5b / 6
0.5b = 6 * sin 60
= 5.196.
So area of the triangle = h * 0.5b
= 3 * 5.196
Area of shaded region
= 18π - 3 * 5.196
= 40.96 cm^2
Answer:
38.52 cm²
Step-by-step explanation:
Take the shaded area to be found into 2 parts :
Left sectorTop area subtended by the chordArea of left sector
As the area subtended by the chord takes up an angle of 120°, the remaining angle of the semicircle is :180° - 120° = 60°Area = πr² x (angle of sector)/360°Area = 3.14 x (6)² x 60/360Area = 3.14 x 36 x 1/6Area = 3.14 x 6Area = 18.84 cm²Area subtended by top chord
Area (120° sector) - Area (triangle)Area = πr² x θ/360 - 1/2bhArea = 3.14 x 36 x 120/360 - 1/2 x 6 x 6Area = 3.14 x 12 - 18Area = 37.68 - 18Area = 19.68 cm²Area (shaded)
Area (left sector) + Area (subtended by chord)18.84 + 19.6838.52 cm²Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.
Answers
The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
How to determine the explicit rule?
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
The number of box in the 12th week.This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
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Who is correct Jared or Jim?
Answers
Answer:
b) Jim
Step-by-step explanation:
Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.
__
Jim is correct that he needs more information.
math help i’ve been stuck on this for the longest
Answers
41.6%, 15/25, 4.3, 18.4, 1/4 greatest to least
I will mark brainliest and please no links
Answers
Answer:
18.4, 4.3, 0.6, 0.416, 0.25
Step-by-step explanation:
Change all sets to the same value (decimal)
41.6 / 100 (move decimal 2 to the left) =
0.416
15/25 =
0.6
4.3
18.4
1/4 =
0.25
Data:
0.416, 0.6, 4.3, 18.4, 0.25
greatest to least;
18.4, 4.3, 0.6, 0.416, 0.25
pls help me to answer this
Answers
Explanation:
We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.
For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.
Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.
-2 1/5 (10x - 4.4) - 0.32
Answers
I think !!
what does the length equal?
Answers
Answer:
23.2 inches
Step-by-step explanation:
[tex]2(3 \sqrt{15} ) = 6 \sqrt{15} = 23.24 [/tex]
Three metallic tanks have the capacities of 447 litres, 577 litresand 669 litres. Find the capacity of the largest container that can fill the tanks an exact number of times, leaving a remainder of 7 litres, 5 litres and 9 litres respectively. (3 marks)
Answers
Answer:
44 litres
Step-by-step explanation:
We subtract the remainders from the amounts.
447 - 7 = 440
577 - 5 = 572
669 - 9 = 660
Now we need the GCF of 440, 572, 660
440 = 2³ × 5 × 11
572 = 2² × 11 × 13
660 = 2² × 3 × 5 × 11
GCF = 2² × 11 = 44
The greatest common factor is 44.
Answer: 44
Check:
447/44 = 10 reminder 7
577/44 = 13 remainder 5
669/44 = 15 remainder 9
Alissa has purchased land for $42,000. Its value is increasing at a rate of 1.75% per year. What will be
the approximate value of the land in 12 years?
Answers
Answer:
42000(1.0175)^12 = $51720.45
Step-by-step explanation:
Expand & simplify
4
(
x
+
5
)
+
5
(
x
−
5
)
Answers
4(x+5) + 5(x-5)
The first step is to distribute (PEMDAS --> parenthesis)
4x + 20 + 5x - 25 Now combine like terms
9x - 5
Thus, the answer is 9x-5
Please Help Me I Don’t Understand
Answers
For a complete triangle to form it needs to be 180°. So all you do is subtract 180° by the sum of 32° and 81°.
180°-113°=67°
The answer is 67°