Answers
Answer:
9
Step-by-step explanation:
If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.
Now, we have to find the value of
[tex]4\tan^2(45)[/tex]
and
[tex]5\tan(45)[/tex]
The tangent of 45 is 1, so 1 squared times 4 is 4.
We have [tex]4\tan^2(45) = 4[/tex].
Again, the tangent of 45 is 1, and 1 times 5 is 5.
We have [tex]5\tan(45) = 5[/tex]
5 + 4 = 9
Related Questions
A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, shifted 2 units down and vertically stretched by a factor of 2?
Answers
Answer:
f(x)=2(x-3)-2
Step-by-step explanation:
when you hear if it translate to the right, it mean subtract " - "
so translate 3 unit right, it mean minus 3.
and same if translate left, it mean add, "+"
But if it mean shift down, it mean minus -
and if it mean shift up, it mean add +
so shift down 2 unit, mean -2
stretch factor of 2, mean multiply by 2
I hope this help! Im gonna explain further more if you have any question☺
The transformation of a function involves changing the features of the original function to another.
The new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]
The function is given as:
[tex]f(x) = (x + 2)^2 - 5[/tex]
When translated right, the rule is:
[tex](x,y) \to (x - h, y)[/tex]
In this case;
[tex]h= 3[/tex] --- i.e. 3 units right
So, the function becomes
[tex]f'(x) = (x + 2 - 3)^2 - 5[/tex]
[tex]f'(x) = (x - 1)^2 - 5[/tex]
When shifted down, the rule is:
[tex](x,y) \to (x, y - b)[/tex]
In this case;
[tex]b =2[/tex] --- i.e. 2 units down
So, the function becomes
[tex]f'(x) = (x- 1)^2 - 5-2[/tex]
[tex]f'(x) = (x- 1)^2 - 7[/tex]
When vertically stretched, the rule is:
[tex](x,y) \to (x, ay)[/tex]
In this case;
[tex]a =2[/tex] --- i.e. factor of 2
So, the function becomes
[tex]f"(x) = 2*[(x- 1)^2 - 7][/tex]
[tex]f"(x) = 2(x- 1)^2 - 14[/tex]
Hence, the new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]
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Expand and simplify (x-3)(x+5)
Answers
Answer: x² + 2x - 15
Step-by-step explanation:
Concept:
When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.
FirstOuterInnerLastSolve:
Given
(x - 3) (x + 5)
Expand parentheses
x² + 5x - 3x - 15
Combine like terms
x² + (5x - 3x) - 15
x² + 2x - 15
Hope this helps!! :)
Please let me know if you have any questions
Which of the following is equal to ….
Answers
Answer:
B option is your answer
Step-by-step explanation:
please mark as brainliest
Answer:
B. 4th root of 7
Step-by-step explanation:
denominator is the root. numerator is the exponent
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
Answers
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
How many years will it take for 21 of the trees to become infected?
This is t for which:
[tex]f(t) = 21[/tex]
Thus
[tex]e^{0.4t} = 21[/tex]
Applying the natural logarithm to both sides:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
Given the following coordinates complete the reflection transformation.
Answers
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 )
Can anyone help please with the question please
Answers
Answer:
f(x) -5x
g(x) -85x²
f(x) . g(x)
-90x
Answer:
36x³ + 25x² + 12x + 2
Step-by-step explanation:
f(x) × g(x)
= (- 4x - 1)(- 9x² - 4x - 2)
Each term in the second factor is multiplied by each term in the first factor
- 4x(- 9x² - 4x - 2) - 1 (- 9x² - 4x - 2) ← distribute parenthesis
= 36x³ + 16x² + 8x + 9x² + 4x + 2 ← collect like terms
= 36x³ + 25x² + 12x + 2
Evaluating Functions in Graphical Form
Try it
tu
GO
Use the graph to evaluate the function for the given input
value.
20
f(-1) =
10
f(1) =
-10
-20
Intro
Done
Answers
Step-by-step explanation:
Step 1: Find the value of f(-1)
Using the graph, locate where x = -1. We can see that when x = -1, y is equal to about -8. Therefore, f(-1) = -8.
Step 2: Find the value of f(1)
Using the graph, locate where x = 1. We can see that when x = 1, y is equal to about -12. Therefore, f(1) = -12.
The evaluated function:
f(-1) = -8 and f(1) = -12.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
As per the information provided, it is given that the evaluated points are:
(-2, 0), (-1, -8), (0, -6), (3, 0), (1, -12), and (2, -20).
To find the evaluated function at x = -1,
We have:
f(-1) = -8.
And to find the evaluated function at x = 1.
we have:
f(1) = -12.
Therefore, f(-1) = -8 and f(1) = -12.
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Given: BE and AD are altitudes (intersecting at H) of triangle ABC, while F,G, and K are midpoints of AH, AB and BC, respectively. Prove: angle FGK is a right angle.
Answers
Solution :
Since [tex]BE[/tex] is an altitude of a triangle [tex]ABC[/tex], it is perpendicular to [tex]AC[/tex] (since the triangle ).
Since [tex]G[/tex] and [tex]K[/tex] are the midpoints, then the line [tex]BG=GA[/tex] and the line [tex]BK=KC[/tex]. The line [tex]KG[/tex] must be parallel to the line [tex]AC[/tex] and is therefore perpendicular to [tex]BE.[/tex]
Now since F and [tex]G[/tex] are the mid points, we get [tex]GA=BG[/tex]. The line [tex]GF[/tex] is parallel to BH and is perpendicular to AC.
Therefore, we have
[tex]KG-GK[/tex] parallel to [tex]AC[/tex]
[tex]AC[/tex] perpendicular to [tex]BE-BH-BJ[/tex]
[tex]BE-BH-BJ[/tex] parallel to [tex]GF[/tex]
Thus [tex]GK[/tex] is perpendicular to [tex]GF[/tex] and also ∠[tex]FGK[/tex] is a right angle.
Could I get the answer don’t understand
Answers
Answer:
DE = 21.4
Step-by-step explanation:
The parallel lines divide the transversals proportionally, that is
[tex]\frac{DE}{EB}[/tex] = [tex]\frac{DF}{FC}[/tex] , substitute values
[tex]\frac{DE}{10.7}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 10.7 )
DE = 21.4
Two similar polygons have areas of 4 square inches and 64 square inches.
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
Answers
Answer:
4
Step-by-step explanation:
The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.
What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20
Answers
Answer:
E
Step-by-step explanation:
(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
15² = x × 20
225 = 20x ( divide both sides by 20 )
[tex]\frac{225}{20}[/tex] = x , that is
x = [tex]\frac{45}{4}[/tex] → E
The value of the x in the given triangle is 45/4.
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.
Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.
we have,
CA / CB = CD / CA
15/20 = x/15
x = 15²/20
x = 225/20
x = 45/4
Hence, the value of the x in the given triangle is 45/4.
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which choice is equivalent to the expression below when x > 0?
√50x³ - √25x³ + 5√x³ - √2x³
A. 4√x
B. 28√x³³
C. 5√2x
D. 4x√2x
Answers
Answer:
D
Step-by-step explanation:
5[tex]\sqrt{2x^3}[/tex] -5[tex]\sqrt{x^3}[/tex] + 5√x³ -√2x³ = 4[tex]\sqrt{2x^3}[/tex] = 4x√2x
can i get some help on this question please? ASAP!!
Answers
Answer:
left is a very good approximately .9 POSITIVE correlation
right is a very good approximately -.9 NEGATIVE correlation
Step-by-step explanation:
if n(u) = 800. n(a) = 400. n(b) = 300 n(āūb) = 200 what is n(anb) and n(a)
Answers
Ans =300
The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) ____ by ____ units.
Answers
Step-by-step explanation:
VERY EASY FOR ME
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann h
ypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
SO 6+/7× and 78/+×
ANSWER
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Answers
Answer:
One solution: 0x + 0.5y = 0
Step-by-step explanation:
9x + 4y = 36
6x + 2.5y = 24
2 * Eq. 1
18x + 8y = 72
-3 * Eq. 2
-18x - 7.5y = -72
Add the multiples of the equations.
0x + 0.5y = 0
Answer: One solution: 0x + 0.5y = 0
The linear combination that reveals the number of solutions to the system is as follows:
One solution: 0x + 0.5y = 0
The system of linear equation is as follows:
9x + 4y = 36
6x + 2.5y = 24
He multiplied the first equation by 2 and the second equation by –3. Therefore,
Combined equation:18x + 8y = 72
-18x - 7.5y = -72
Therefore, let's add the equation
0x + 0.5y = 0
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help help help ty ttttyyy
Answers
Answer:
ମୁଁ ବର୍ତ୍ତମାନ ଦୁ sorry ଖିତ ଗର୍ଲି ନୁହେଁ |
Step-by-step explanation:
ନିମୋନୋଲ୍ଟ୍ରାମିକ୍ରୋସ୍କୋପିକ୍ସିଲିକୋଭୋଲକାନୋକୋନିଓସିସ୍ |
Please find the value of A,B,C&D
Answers
Given
A + B = 8
A + C = 13
B + D = 8
C - D = 6
Now
A + B = B + D
A = B + D -B
A = D
C - D = C - A
A + C = 13
C - A = 6
Adding 7 on both sides
C - A +7 = 6+7
C - A + 7 = A + C
C-C -A + 7 = A
-A +7 = A
7 = A+A
7/2 = A
A = 3.5
B = 4.5
C =9.5
D = 3.5
Answered by Gauthmath must click thanks and mark brainliest
A restaurant is ordering vegetables for the upcoming week. Potatoes are shipped in 30-pound bags and onions are shipped in 5-pound bags. If the restaurant receives 1,800 pounds of potatoes and onions and there are 25 more bags of potatoes than bags of onions, how many pounds of onions are received?
Answers
Answer:
525 pound of onions were recieved
Step-by-step explanation:
1 bag of potatoes: 30 pounds
total pounds of potatoes and onions received= 1800
let the total pounds of onions received be x,
25 bags of potatoes = 25 × 30= 750 pounds
now according to the question,
x + x + 750= 1800
2x = 1800 - 750
x= 1050 ÷ 2
x= 525
Note: plz correct me if I am wrong somewhere
The restaurant receives 150 pounds of onions.
How to determine pounds of onions receivedLet's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".
The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.
The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.
According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:
30(x + 25) + 5x = 1800
Simplifying the equation:
30x + 750 + 5x = 1800
35x + 750 = 1800
35x = 1800 - 750
35x = 1050
Dividing both sides by 35:
x = 1050 / 35
x = 30
Therefore, the restaurant receives 30 bags of onions.
To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:
Weight of onions = 5x = 5 * 30 = 150 pounds
Therefore, the restaurant receives 150 pounds of onions.
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If every 1,000 views is 2 cents how much would I have if it was 100,000 views
Answers
Answer:
It's answer is 200 cents bun not sure
esto es verdadero oh falso
como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4
Answers
Answer
The missing value is 4/9
Mr. Barry invested some money at 5% and amount half as great as 4%. His total annual income from both investments was $210. Find the amount invested at 4%
A) $1000
B) $1500
C) $2000
D) $2500
Answers
Don't forget put heart ♥️ to me .
The amount invested at 4% is 1500.
How to estimate the amount invested at 4%?Let x be the amount invested at 4%.
2x be the amount invested at 5%.
0.04x + 0.05(2x) = 210
Multiply by 100 to eliminate decimals
4x + 5(2x) = 21000
Remove parentheses: (a) = a
[tex]4 x+5 \cdot 2 x=21000[/tex]
Multiply the numbers: [tex]$5 \cdot 2=10$[/tex]
4x+10x = 21000
Add similar elements:
4x+10x = 14x
14x=21000
Divide both sides by 14
[tex]$\frac{14 x}{14}=\frac{21000}{14}[/tex]
Simplifying the above equation, we get
x = 1500
The amount invested at 4% is 1500.
Therefore, the correct answer is option B) $1500.
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The step function f(x) is graphed
What is the value of ( -1)?
3
4
0 1
3
0 0
2
1
1
.
-4-3-2
1
2
3
4
5 6
X
-2
Answers
-4-3-2
1
2
3
4
5 6
x
-2gbhdfcjfghu
If yk please help thank you
Answers
Answer: No real solution
Step-by-step explanation:
Please i really need it rn pls
Answers
The 3rd option is correct
WILL BE MARKED BRAINLIEST!!!!!HHHHHeeeelllllllppppppp!!!!!!!!!!!!!!!!!!! URGENT!!!!!!!
Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 1 5 44
Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.
Answers
Answer:
Closed side up : 5/50
1/50 = open side up
44/50 = landing side
experimental probablity Formula:
no. of times event was conducted/ Total no. of times experiment was conducted.
Let's first start with open side up.
No. times it was conducted was 1.
Total no times experiment conducted: 50 times
1/50 = open side up
Closed side up
No. times it was conducted was 5
Total no times experiment conducted: 50 times
5/50
The same for landing on side :
44/50
Have a wonderful day!!
The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is given as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For the given case, if we name the events for results of tossing of paper cup as:
A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sidesThen, as it is given that:
Number of times paper cup was tossed = 50
Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44Thus, their experimental probabilities are obtained as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
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HIIII!!!!! I NEED HELP!
Answers
Answer:
16⅜ cups
Step-by-step explanation:
Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:
15¾ cups + ⅝ cups = ?
15¾ = 63/4 = 126/8
126/8 + ⅝ = 131/8 = 16⅜
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answers
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular
Answers
Tickets for the school dance are $5. At that price, 300 students go to the dance. A survey of the students shows that if the ticket price goes up by $0.50, the number of students going to the dance decreases by 30. What is the optimum ticket price?
Answers
Answer:
The optimal price should be $10 which will result in maximum revenue.
Step-by-step explanation:
y = [5+ 0.5x] [ 300 - 30x]
y = 1500 - 150x + 150x - 15x^2
y = 1500 - 15x^2
x^2 = 1500 /15
x = [tex]\sqrt{100}[/tex]
x = 10
