Use the triangle shown to find the ratios.
cos(A) =
tan(C) =
Answer:
Cos(A) = 10/26
Tan(C) = 10/24
Step-by-step explanation:
cos = adjacent/hypotenuse
tan = opposite/adjacent
Answer:
Cos(A) = 10/26
Tan(C) = 10/24
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?
Answer:
Mathew invested $600 and $2400 in each account.
Solution:
From question, the total amount invested by Mathew is $3000. Let p = $3000.
Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’
So, the amount invested in second account = 3000 – P
Step 1:
Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest [tex](I_1)[/tex] earned in first account for one year,
[tex]\text {simple interest}=\frac{\text {pnr}}{100}[/tex]
Where
p = amount invested in first account
n = number of years
r = rate of interest
hence, by using above equation we get [tex](I_1)[/tex] as,
[tex]I_{1}=\frac{P \times 1 \times 3}{100}[/tex] ----- eqn 1
Step 2:
Mathew has paid 8% interest in second account. Let us calculate the simple interest [tex](I_2)[/tex] earned in second account,
[tex]I_{2} = \frac{(3000-P) \times 1 \times 8}{100} \text { ------ eqn } 2[/tex]
Step 3:
Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)
[tex]I = \frac{3000 \times 1 \times 4}{100} ----- eqn 3[/tex]
Step 4:
Total simple interest = simple interest on first account + simple interest on second account.
Hence we get,
[tex]I = I_1+ I_2 ---- eqn 4[/tex]
By substituting eqn 1 , 2, 3 in eqn 4
[tex]\frac{3000 \times 1 \times 4}{100} = \frac{P \times 1 \times 3}{100} + \frac{(3000-P) \times 1 \times 8}{100}[/tex]
[tex]\frac{12000}{100} = \frac{3 P}{100} + \frac{(24000-8 P)}{100}[/tex]
12000=3P + 24000 - 8P
5P = 12000
P = 2400
Thus, the value of the variable ‘P’ is 2400
Hence, the amount invested in first account = p = 2400
The amount invested in second account = 3000 – p = 3000 – 2400 = 600
Hence, Mathew invested $600 and $2400 in each account.
Pd).
cot x/sec x
show that -=cos ecx -sin x
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• cot x = [tex]\frac{cosx}{sinx}[/tex]
• sec x = [tex]\frac{1}{cosx}[/tex] and cosec x = [tex]\frac{1}{sinx}[/tex]
Consider the left side
[tex]\frac{cotx}{secx}[/tex]
= [tex]\frac{cosx}{sinx}[/tex] × cosx
= [tex]\frac{cos^2x}{sinx}[/tex]
= [tex]\frac{1-sin^2x}{sinx}[/tex]
= [tex]\frac{1}{sinx}[/tex] - [tex]\frac{sin^2x}{sinx}[/tex]
= cosec x - sin x
= right side ⇒ verified
y = f(x) = -5X
Find f(x) when x = 0.
The value of the function f(x) = -5x when x = 0 is 0. This point also represents the y-intercept of a declining straight line graph.
To find the value of the function f(x) when x equals 0, we simply substitute 0 for x in the given function. The function provided is f(x) = -5x, which implies a linear relationship between y and x. Therefore:
f(0) = -5(0) = 0
The value of f(x) at x = 0 is 0, which also represents the y-intercept of the graph. Since the coefficient of x is negative, we know the graph is a declining straight line. However, at the point where x = 0, the graph will intersect the y-axis.
What is a proportion? Give an example with your description
Triangle PQR is transformed to similar triangle P'Q'R'.
What is the scale factor of dilation?
1 over 2
1 over 3
1 over 4
1 over 5
Please explain your work, it'd really help if I understood why that's the answer then just accepting an answer. I'm really confused so please, if you can, explain your work!
Answer:
The answer is 1/2
Step-by-step explanation:
If you look at the distance between P and R and the dilation between P' and R' you would get 4 and 2. This the scale dilation is 1/2. Multiply 1/2 by 4 and you would get 2.
Answer:
1/2
Step-by-step explanation:
Sheila, Lydia and Leila are sisters. One of them is allergic to dairy products.
At the school bazaar, Lydia ordered a chocolate milk, Leila ordered a coffee
milk shake, and Sheila ordered a ginger ale. Which sister has the allergy to
dairy products?
Answer:Sheila
Step-by-step explanation:
You pay $1,261.95 for a table and chair set. The sales tax in your city is 5.25%. What was the original
price of the dining set?
$999
$1,099
$1,199
$1,256
Answer:$1,199
Step-by-step explanation:
$1,199 X 5.25%=$1,261.95
Solve 23(3x+9)=−2(2x+6).
Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents. f of x equals 4 times one ninth to the x power f of x equals 4 times two sixths to the x power f of x equals 16 times one third to the x power f of x equals 16 times one ninth to the x power
Answer:
A
Step-by-step explanation:
Answer:
Option 1
Step-by-step explanation:
Given : Function f of x equals 4 times one third to the 2 times x power.
To find : Rewrite the function using properties of exponents ?
Solution :
Writing the function in numeric terms,
f of x equals 4 times one third to the 2 times x power
i.e. [tex]f(x)=4\times (\frac{1}{3})^{2x}[/tex]
Solve the expression,
[tex]f(x)=4\times (\frac{1}{3}^2)^{x}[/tex]
[tex]f(x)=4\times (\frac{1}{9})^{x}[/tex]
i.e. f of x equals 4 times one ninth to the x power.
Therefore, Option 1 is correct.
u=3a-1
Solve the equation for the indicated variable: a
Use the drop-down menus to complete the statements.
42 is
32 +3²
Therefore, AJKL is
52 is
32 +42
Applying the same method, AABC is
J
3
Answer:
Less than, acute, equal to, and right
Step-by-step explanation:
correct on edge.
Use the drop-down menus to complete the statements.
42 is less than 3^2 + 362.
Therefore, △JKL is acute.
5^2 is equal to 3^2 + 4^2.
Applying the same method, △ABC is right.
Your question is incomplete. Please read below to find the content.
Less than, acute, equal to, and right are the correct drop-down menus.
What is the acute angle?An angle that is measuring much less than ninety degrees is called an acute angle. This perspective is smaller than the proper angle (that is equal to 90 stages). For an instance, ∠30°, ∠forty-five°, ∠60°
What is called right angle?Any shape that could be a rectangular or a rectangle, will have its corners equal to ninety tiers or right angle. A proper attitude is therefore referred to as a ninety-diploma perspective. In geometry, the figure formed through two rays, referred to as the perimeters of the angle, sharing a common endpoint, known as the vertex of the angle is referred to as an attitude.
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Yanni threw his paper airplane 15 1/2 feet. Adrian threw his paper airplane 3/4 of yanni's distance. What is the distance Adrian paper airplane? Explain how you found your answer
Answer:
19.125
Step-by-step explanation:
multiply 15.5 by 3 and then divide the answer by 4
Final answer:
To find the distance Adrian's paper airplane traveled, convert Yanni's distance to an improper fraction, calculate 3/4 of that, and then convert back to a mixed number. Adrian's paper airplane flew 11 5/8 feet.
Explanation:
The question asks us to calculate the distance Adrian's paper airplane traveled, given that it is 3/4 of the distance Yanni's airplane traveled, which was 15 1/2 feet. First, we need to convert Yanni's distance to an improper fraction. This gives us 31/2 feet. To find 3/4 of this distance, we multiply 31/2 feet by 3/4:
(31/2) × (3/4) = (31 × 3) / (2 × 4) = 93/8 feet.
Now, we convert the improper fraction back to a mixed number to find the distance. This gives us 11 5/8 feet (since 93 divided by 8 is 11 with a remainder of 5).
Therefore, Adrian's paper airplane traveled a distance of 11 5/8 feet.
Help me math thanks !
The two angles given, X and 2x are supplementary angles which when added together need to equal 180 degrees.
Set up an equation to solve for x:
x + 2x = 180
Simplify:
3x = 180
Divide both sides by 3:
x = 180/3
x = 60 degrees.
∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55. What is m∠D ?
Vertical angles are the same,
Set the two equations to equal each other to solve for x:
5x-7 = 8x-55
Subtract 5x from both sides:
-7 = 3x -55
Add 55 to both sides:
3x = 48
Divide both sides by 3:
x = 48 /3
x = 16
Now you have a value for x, solve angle D:
8x -55 = 8(16) - 55 = 128 - 55 = 73 degrees.
Answer:
The answer is m∠D is 73.
Step-by-step explanation:
In order to determine the answer, we have to know about vertical angles.
Vertical Angles are the angles opposite each other when two lines cross. These angles share the same vertex. I have attached an image that shows vertical angles.
So, according to the definition:
m∠C=m∠D
m∠C=5x-7
m∠D=8x-55
[tex]5x-7=8x-55\\5x-8x=-55+7\\-3x=-48\\x=\frac{-48}{-3}\\ \\x=16[/tex]
m∠D=8*16-55=73
Finally, the angle m∠D is 73.
10
TIME REMAINING
53:10
The functions f(x) and g(x) are graphed.
Which represents where f(x) = g(x)?
O f(2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
Answer:
first one. Since its X crosses or passes (2,0)
Step-by-step explanation:
The value of function represents with same domain f(x)= g(x) is f(2) = g(2) and f(0) = g(0).
We know that two functions f and g are said to be equal if:
(i) f and g have same domain D
(ii) for all x ∈ D, f(x) = g(x)
Thus, we must select the response that best captures the situation where f(x) = g. (x)
Considering the fact that f(x) and g(x) are defined on the same domain
If they are equivalent for all values of x in the domain, then f(x) = g(x).
Thus, f(2) = g(2) and f(0) = g(0)
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7x = 2y solve for y in terms of x
Y=?
Answer:
7x/2
Step-by-step explanation:
7x=2y
1) Divide both sides by 2:
y=7x/2
PLEAS HELP WILL GIVE FREE BRAINLY AND 10 POINTS
Answer: Casey had the most votes.
Order from most to least: Casey (12/30), Bo (9/30), Avery (8/30), Daisy (1/30).
Step-by-step explanation:
We need to firstly get then all to have the same denominator.
15 * 2 = 30
4 * 2 = 8
Avery = 8/30
10 * 3 = 30
3 * 3 = 9
Bo = 9/30
5 * 6 = 30
2 * 6 = 12
Casey = 12/30
Daisy = 1/30
Answer:
Casey had the most votes
Step-by-step explanation:
2021, lol
you are designing a room for a house and are drawing a floor plan. The room is actually 18 feet wide. On your floor plan, you draw the room as 6 inches wide. what is the scale factor for the floor plan
Answer:
1:3
Step-by-step explanation:
18 / 6 = 3
Answer:
3 feet per inch
Step-by-step explanation:
trust me bro
A house on the market was valued at $262,000. After several years, the value increased by 9%. By how much did the house's value increase in dollars? What is the current value of the house?
Answer:
The house increases by $23,580 and he current value of the house is $285,580
Step-by-step explanation:
A house on the market was valued at $262,000. After several years, the value increased by 9%.
The first part of the question is to find by how much the house's value increase in dollars, to calculate this, we will simply find;
9% of $262,000
= [tex]\frac{9}{100}[/tex] × $262 000
= [tex]\frac{2358000}{100}[/tex]
=$23580
Therefore, the house's value increase by $23580
The second part of the question is to fin the current value of the house. Hence;
Current value of the house = $262,000 + $23580=$285,589
Therefore the current value of the house is $285,589
Can someone please help me
Answer:
C
Step-by-step explanation:
Given
2r + (t + r) ← distribute parenthesis by 1
= 2r + t + r ← collect like terms
= 3r + t
Which is not represented by the given options → C
d÷2+3=21 can someone please answer this
Answer:
frist add 3 plus 2 then multiply it by 21 and then you will get 105 and 105 will represent d
I need help on 21 can you please show your work
What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?
The polynomial function of least degree with zeros -3, -2, and 4 is f(x) = (x+3)×(x+2)×(x-4), which is a cubic polynomial.
The polynomial function of least degree with given zeros of -3, -2, and 4 is derived from the fact that if a polynomial has zeros at x=a, x=b, and x=c, then it can be represented as f(x) = k×(x-a)×(x-b)×(x-c), where k is any non-zero constant. Given the zeros -3, -2, and 4, the polynomial function is:
f(x) = k×(x+3)×(x+2)×(x-4)
Because the question does not specify a leading coefficient, we can assume k=1 for the least degree polynomial. Thus, the final form of the polynomial would be:
f(x) = (x+3)×(x+2)×(x-4)
Expanding this would give us a cubic polynomial, which is the polynomial of least degree that satisfies the condition of having exactly these three zeros.
5) A survey of 9,000 men in 2005 shows that 55% of them want to try a male birth control pill. How many of men
DO NOT want to try it? (2 points)
Please help
Answer:
@misterking_59 i 2,000 no prb
Step-by-step explanation:
Answer expression 1:
6 x 7 - 3^2 x 9 + 4^3
In order to get the answer to this question you will have to use PEMDAS and solve.
[tex]6\times7-3^2\times9+4^3[/tex]
Using PEMDAS:
[tex]3^2=3\times3=9[/tex]
[tex]4^3=4\times4\times4=64[/tex]
[tex]6\times7-9\times9+64[/tex]
[tex]6\times7=42[/tex]
[tex]9\times9=81[/tex]
[tex]42-81+64[/tex]
[tex]81+64=145[/tex]
[tex]42-145[/tex]
[tex]42-145=-103[/tex]
[tex]=-103[/tex]
Therefore your answer is "-103."
Hope this helps.
Answer:
The value of the expression is 25.
Step-by-step explanation:
Consider the provided expression.
[tex]6 \times 7 - 3^2 \times 9 + 4^3[/tex]
First simplify the exponents.
[tex]3^2=9\ and\ 4^3=64[/tex]
Substitute the value of exponents in the provided expression.
[tex]6 \times 7 - 9 \times 9 + 64[/tex]
[tex]42- 81+ 64[/tex]
[tex]106- 81[/tex]
[tex]25[/tex]
Hence, the value of the expression is 25.
the perimeter of a rectangle if the width is 3 centimeters and the length is 6 centimeters longer than the width.
Answer:
24
Step-by-step explanation:
Length 9 (3+6)
Width 3
Perimeter = 2 times length + 2 times width
18 + 6 = 24
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Divide the following polynomial and then place the answer in the proper location on the grid.
8y 7 ÷ 4y 5
Answer:
2y^2. 8/4 = 2 and y^7/y^5 is y^2 i don't know if this is what you completely asked for but here is the answer
Step-by-step explanation:
Division of the given polynomial [tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].
What is division?" Division is defined as the distribution of a given quantity into equal parts as per the given condition."
Formula used
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] [tex]= a^{m-n} , m > n[/tex]
According to the question,
Given polynomial,
[tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]
Division of given polynomial also use the formula we get,
[tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]
[tex]= 2 y^{7-5} \\\\= 2y^{2}[/tex]
Hence, division of the given polynomial [tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].
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Plz help if you can!!!
Answer:
Part A: The cube root of a positive number is a positive number.
Part B: x = 3
A. Howie is wrong because he implied that the answer could be negative. B. The correct answer is x = 3.
When Howie attempted to solve the equation [tex]\(x^3 = 27\)[/tex], he mistakenly concluded that x = -3 was a solution.
However, [tex]\((-3)^3\)[/tex] is equal to -27, not 27. Therefore, -3 is not a valid solution to the equation.
Howie's answer was incorrect because he mistakenly included x = -3 as a solution, which does not satisfy the equation [tex]\(x^3 = 27\).[/tex]
The revised answer should only include the correct solution x = 3. The equation [tex]\(x^3 = 27\)[/tex] has only one real solution, which is:
x = 3
solve for x: -6 <x-1 <9
[tex]\text{Hello there!}\\\\\text{You're solving for x, meaning that you have to get x by itself}\\\\\text{Solve for x in the inequality:}\\\\-6 <x-1 <9\\\\\text{Add 1 to both sides}\\\\\large\boxed{-5<x<10}[/tex]