AHHH PLEASE HELP MEH
Evaluate (cot90)(cos45) + sec45 exactly. No decimals allowed, rationalize if necessary
Answer: [tex]\sqrt{2}[/tex]
======================================================
Explanation:
Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,
[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]
Now rationalize the denominator
[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]
Which is the exact value of [tex]\sec(45^{\circ})[/tex]
The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.
More help with Geometry plss :)
Answer:
( 1, - 3.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = C (9, 2) and (x₂, y₂ ) = D (- 7, - 9 )
midpoint = ( [tex]\frac{9-7}{2}[/tex] , [tex]\frac{2-9}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex], [tex]\frac{-7}{2}[/tex] ) = (1, - 3.5 )
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
a shopkeeper sells a pant at 10% profit, if he would have sold it at rs.150 more than profit would have been 15% find the purchased price of the pant
Answer:
selling prices =10% 10+150+15%=180
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A sunflower plant is growing at a constant rate. It was 4cm tall after 1 month and 32 cm tall after
9 months.
a) Express the growth of the plant as a rate of change.
b) Write an equation to show this relationship
Answer:
a) 3.5 cm / month
b y = 3.5(x-1) + 4, x >= 1
Step-by-step explanation:
the plant grew 32-4 = 28 cm in 9-1 = 8 months.
so, the growth rate is 28 cm / 8 months = 7 cm / 2 months, or (to norm it to a typical 1 unit denominator) 3.5 cm per month.
x = months of growth
y = height of plant
so, considering the "start" of 4 cm after one month, the equation is
y = 3.5(x-1) + 4, x >= 1
since we don't know anything about anything that happened before the first month was over, we cannot validate this equation for anything x<1.
Help plzzz... circle geometry question.
Answer:
IU = 161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
find the missing side. Round it to the nearest tenth.
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
What is the approximate length of the line segment?
(1, -1)
(6,-8)
Answer:
8.6023
Step-by-step explanation:
length = √[(x2-x1)^2+(y2-y1)^2]
=√[(1-6)^2+(-1--8)^2] =√74 =8.6023
Can someone help me out thx
This is because the two chords are the same length, so they are the same distance away from the center.
We can prove this by drawing the following red segments as shown below. These segments are radii of the circle. After forming the two right triangles, note how we can use the hypotenuse leg (HL) theorem to prove the triangles congruent. So this leads to x = 9 because the corresponding pieces of the triangles must be the same.
A silver chain has 100 links. Each link is made of thin silver wire and is in the shape of a circle of radius 2,5 cm. Find the value of the chain if the silver wire costs 6 cents per centimetre ( Use 3,14 for π )
Number of links = 100
Shape of each link = Circle
Radius = 2.5
Area = πr²
= 3.14×2.5×2.5
= 19.625
Now for 100 links
19.625×100
1962.5Cm²
Cost = 1962.5 × 0.06
= $117.75
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If each link is made of thin silver wire and is in the shape of a circle of radius 2.5 cm, the value of the silver chain is $94.20.
To find the value of the silver chain, we need to calculate the total length of the silver wire used in making the chain and then multiply it by the cost per centimeter.
Each link in the chain is a circle with a radius of 2.5 cm. The circumference of a circle can be calculated using the formula 2πr, where r is the radius.
In this case, the circumference of each link is:
Circumference = 2 * 3.14 * 2.5 cm = 15.7 cm
Since there are 100 links in the chain, we multiply the circumference of each link by 100 to get the total length of the silver wire used:
Total length = 15.7 cm/link * 100 links = 1570 cm
Now, we can calculate the value of the chain by multiplying the total length of the silver wire by the cost per centimeter:
Value of the chain = 1570 cm * $0.06/cm = $94.20
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Which statement is true about this quadratic equation?
y = 12 – 11x + 7
A.
There is one real solution.
B.
There are two complex solutions.
C.
There are two real solutions.
D.
There is one complex solution,
The statement that is true about the quadratic equation is (b) There are two complex solutions.
Identifying the statement that is true about the quadratic equationFrom the question, we have the following parameters that can be used in our computation:
y = 12 – 11x + 7
Express properly
So, we have
y = 12x² – 11x + 7
Next, we calculate the discriminant using
d = b² - 4ac
Where
a = 12
b = -11
c = 7
Substitute the known values in the above equation, so, we have the following representation
d = (-11)² - 4 * 12 * 7
Evaluate
d = -215
This value is less than 0
This means that it has complex solutions
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Solve the equation for all values of x.
(22 – 16)(2x2 + 49) = 0
Help please
Answer:
7i/sqrt(2)
Step-by-step explanation:
so, if I understand correctly, the equation is
(22-16)(2x² + 49) = 0
6(2x² + 49) = 0
that automatically means
2x² + 49 = 0
2x² = -49
x² = -49/2
x = sqrt(-49/2)
a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.
so, we get
x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)
Given the following coordinates complete the reflection transformation.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (2, 0 ) → A' (2, 0 )
B (4, 1 ) → B' (4, - 1 )
C (6, - 4 ) → C' (6, 4 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (2, 0 ) → A'' (- 2, 0 )
B' (4, - 1 ) → B'' (- 4, - 1 )
C' (6, 4 ) → C'' (- 6, 4 )
help please!!! i don’t understand
Answer:
The answer is D: 990
Step-by-step explanation:
G(-10) = f( 3(-10) )
g(-10) = f(-30)
F (-30) = (-30) ^2 -3(-30)
900 + 90
990
Simplify: 5^(x+2)-4×5^x÷21×5^x
Answer:
(1/21)(21×5^(x+2)-4×5^2x)
Step-by-step explanation:
5^(x+2)-4×5^x÷21×5^x
= 5^(x+2)-4×5^2x/21
= 1/21(21×5^(x+2)-4×5^2x)
you buy a refrigerator for $711. The sales tax rate is 4%. Estimate the sales tax
a) $280
b) $28
c) $29
d) $290
Answer:
B. $28
Step-by-step explanation:
Find the sales tax by finding 4% of 711:
711(0.04)
= 28.44
This is closest to 28.
So, the correct answer is B. $28
I’ll mark u as a brainliest!! pls help me
Answer:
Shorter leg is 7
Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)
Lauren wants to know how many students in her school plan to see the new science fiction movie opening this weekend. She surveyed every Fitch student as they left the school on Friday.
Population:_____________
Sample:__________________
Is this sample reprsentive? Explain.
______________________________
Fifteen hundred randomly selected South Carolina kindergarten students were observed on the first day of school
Answer: See explanation
Step-by-step explanation:
The question isn't complete. Here is the completed question that I got online.
Fifteen hundred (1500) randomly selected South Carolina kindergarten
students were observed on the first day of school to determine if they knew how to tie a shoe. Using this information, please identify the following: Population:
Sample:
Variable:
Sample Size:
Sample Space:
The variable is: (qualitative/quantitative)
If 40% of the observed students knew how to tie their shoes, how many of the 58,135 kindergarten students in SC can we expect to know how to tie their shoes?
Sample: The sample is 1500.
Variable: This is the number of students who know how to tie their shoes.
Sample Size: 1500
Sample Space: The total number of students in South Carolina kindergarten
The variable is quantitative since they're counted.
If 40% of the observed students knew how to tie their shoes, therefore the number from the 58,135 kindergarten students in SC that can be expected to know how to tie their shoes will be:
= 40% × 58135
= 0.4 × 58315
= 23254
Solve the inequation : 2(3-4x) + 3 < 49
As in the picture.hope it helps.......
Plzzzz mark brainlist if correct.....
Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles. please draw the answer
Answer:
Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command
(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]
(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM
(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]
(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM
Step-by-step explanation:
What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13
Answer:
The answer is D
Step-by-step explanation:
use the quadratic formula, plug and chug, and voila!
Two cars started from the same place at the same time but travelled in opposite directions. After 9 hours they were 910 kilometers apart. If the speed of one car is 10 kilometers per hour slower than the other what were their speedss per hour
Answer:
Step-by-step explanation:
To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:
d = r * t
Car 1
Car 2
What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:
d = r * t
Car 1 9
Car 2 9
What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.
d = r * t
Car 1 r * 9
Car 2 r - 10 * 9
Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:
d = r * t
Car 1 9r = r * 9
Car 2 9r - 90 = r - 10 * 9
The distance between these 2 cars after that 9 hours is 910 km, therefore:
distance that car 1 traveled + distance that car 2 traveled = 910 km:
9r + 9r - 90 = 910 and
18r - 90 = 910 and
18r = 1000 so
r = 55.56 km/hr
and the other car is going 10 km/hr slower at 45.56 km/hr
find the height of the triangle
Answer:
Step-by-step explanation:
What is the range of the function on the graph, I hope you can see it
Answer:
Option 4. All real numbers greater than or equal to 2.
I hope this will help.
find the value of x in the triangle.
Answer:
The answer is 36°.
Hope it helps.
Step-by-step explanation:
• • •
Help on 36 and 37 pls, the choices for 37 are 70,77,82, and 90
Answer:
36: G-30
37: Please add the rest of the questions, so I can answer 37.
Step-by-step explanation:
Find the area of triangles having sides 3cm,4cm,5cm respective.
Answer:
60cm
Step-by-step explanation:
3×4×5
you multiply each side together
Answer:
10cm² (check explanation)
Step-by-step explanation:
using the formular;
A = ½ x Base x Height
(You did not specify which one is base etc)
I'll use any parameter;
If height = 5cm, base = 4cm
The area = (5 x 4)/2
= 20/2
= 10cm²
Mary is older than John by 5 years .If John is now X years how old is John.
Based on the relationship between Mary's age and that of John, the representation of Mary's age is (X + 5).
How old is Mary?Your question seems incomplete or not worded well so I'll give a more general response.
Mary is said to be older than John by 5 years. This means that however old John gets, Mary will always be older by 5 years.
If John is X years therefore, Mary's age will simply be:
= John's age + Age difference
= X + 5
For instance, if John is 20 years then Mary would be:
= 20 + 5
= 25 years
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Figure ABCD - Figure EFGH.
F 2.5 G
5.0 C
B
3.0
E
4.0
A 8.0D
Perimeter of ABCD = 20
Perimeter of EFGH ?)
Enter
Answer:
10
Step-by-step explanation:
1.5+2.5+2+4=10 b/c the figure is the half of the biger lines
The perimeter of the quadrilateral EFGH is 10 units.
What is perimeter?Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.
For the given situation,
The diagram shows the two quadrilaterals ABCD and EFGH.
The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.
Here BC = 5.0, FG = 2.5
⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]
⇒ [tex]\frac{1}{2}[/tex]
So the lengths of EFGH is half than that of ABCD.
Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5
Thus the perimeter of EFGH is
Perimeter = Sum of all sides
⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]
⇒ [tex]Perimeter = 10.0[/tex]
Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.
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