Answer:
The value of x = 35.62
Therefore, option C) is true.
Step-by-step explanation:
Given
Ф = 58°
hypotenuse = 42
To determine:
x = ?
We know that the trigonometric ratio
sin Ф = opposite / hypotenuse
Here:
The opposite of Ф = xФ = 58°hypotenuse = 42so substituting the value
sin Ф = opposite / hypotenuse
sin 58° = x / 42
x = 42 × sin 58°
= 35.62
Thus, the value of x = 35.62
Therefore, option C) is true.
Find a premium on Property worth 20 500000 Rupees at 3% if (1) the property is fully insured (2) the property is insured for 80% of its value
Answer:
1)Premium = 615,000 Rupees
2)Premium = 492,000 Rupees
Step-by-step explanation:
Property worth = 20,500,000 Rupees
Premium rate = 3%
1) the property is fully insured means the property is insured to 100% of its value.
Thus, the insured value = 20,500,000 Rupees
Thus,
the premium = 20,500,000 × 3%
Premium = 615,000 Rupees
2) the property is insured to 80% of its value.
Thus, the insured value = 20,500,000 × 80% Rupees = 16,400,000 Rupees
Thus,
the premium = 16,400,000 × 3%
Premium = 492,000 Rupees
Find the equation of the parabola with its focus at (-7,6) and its directrix at y = 4
OA) y-/a(x + 7)2 + 5
O B) y-/Ax+ 7)2 + 5
Ooy-/ax- 72 +5
OD) y- 1/4lx+ 5)2+7
Answer:
Your choices of answers are confusing , but It looks like A is a good fit
Step-by-step explanation:
[tex]x^{2}[/tex] + 14x +54 ( from drawing ) [ leave the web address for the graphing webpage so you can use it to check answers]
complete the square on the above expression
[tex]x^{2}[/tex] +14x + [tex]7^{2}[/tex] + 54 - 49 ( b/c we added 49 to complete square)
(x+7)^2 + 5
So this looks a bit like answer A
Use the distributive property to remove the parentheses.
1. 3(8 + x)
2. 7(v - 2)
3. 3(v - 9)
Answer:
1. 24 + x
2. 7v - 14
3. 3v - 27
Step-by-step explanation:
Distributive property means that you go through something by either multiplying or dividing by whatever may be in the parentheses.
1. For one you would multiply the 3 through. 3 x 8 + 3x which can be simplified into 24 + 3x.
2. For two you would multiply the 7 through. 7v - 7 x 2, which can be simplified into 7v - 14.
3. For three you would multiply the 3 through. 3v - 3 x 9, which can be simplified into 3v - 27
Hope this helps!
Please tell me if I am incorrect I enjoy learning from my mistakes!
Good luck!
Brainliest for the correct answer and 20 points!!!
Answer:
(0,-4) and (6,0)
Step-by-step explanation:
Hint use desmos's graphing calculator nextime
Hope this helps!! Have a great day!
Again sorry for the rainbow but pls explain to me and the answer
Answer:
Its supposed to be 28.52 - 11.20 not 11.2
Step-by-step explanation:
i own three dogs 5 cats 7 squirrels 8birds 10 lizards and 4 beetles I told my friends that my ratio of dogs+cats to my other pets is 8:37 but my friend says it is 8:29 Who is correct (if any) and if someone made a mistake what was the mistake
Answer:
The friend is correct
Step-by-step explanation:
The ratio of dogs+cats to the other pets is 29. However the ratio of dogs+cats to the total number of pets is 8:37. Which they didn’t ask for, and ask for the ratio of dogs+cats to other pets.
Answer:
Your friend is correct.
Step-by-step explanation:
You have 3 dogs and 5 cats; that makes [8] pets. Now, add up the rest of your pets (excluding dogs and cats, of course).
7 (squirrels) + 8 (birds) + 10 (lizards) + 4 (beetles) = [29] pets
[8:29]
By the looks of it, the mistake made here was adding up everything when calculating the second part of the ratio, including the dogs and cats (this shouldn't have been done).
Hope this helps, and have a good one.
will mark brainliest
Answer:
it's in a pattern if you can figure it out you will get you will get your answer
Step-by-step explanation:
What is the equation of the line
that passes through the point
(-3,-5) and is parallel to the line
2x+3y=15
Answer:
y = (-2/3)*x -7
Step-by-step explanation:
2x+3y=15
3y = -2x + 15
y = (-2/3) *x + 5
slope for parallel line should be -2/3 too
pass (-3 , -5) y = mx + b b = y - mx = (-5) - ((-2/3) * (-3))
b = -5 - 2 = -7
parallel line: y = (-2/3)*x -7
if triangle fgh m f = m h, gf = x + 40, hf =3x - 20, and gh = 2x + 20. The length of GH is
Answer: it’s 60
Step-by-step explanation:
GH=2x+20=2(20)+20=40+20=60
When two angles are equal in a triangle the opposite sides of them are also equal. The value of the side GH is 60 units.
Given information-In [tex]\Delta FGH [/tex],
[tex]m\angle f=m\angle h[/tex]
The sides of the triangle,
[tex]GF=x+40[/tex]
[tex]HF=3x-20[/tex]
[tex]GH=2x+20[/tex]
Isosceles triangle-An isosceles triangle is a triangle in which two sides and two angle are equal.
When two angles are equal in a triangle the opposite sides of them are also equal. Therefore,
[tex]GF=GH\\ [/tex]
Put the values,
[tex]\begin{aligned}\\ x+40&=2x+20\\ 2x-x&=40-20\\ x&=20\\ \end[/tex]
Thus the value of the GH is,
[tex]GH=2x+20\\ GH=2\times20+20\\ GH=60[/tex]
Thus the value of the side GH is 60 units.
Learn more about the isosceles triangle here;
https://brainly.com/question/7915845
Can y'all please solve this for me? it's supposed to be a tree with presents,I just don't know how to if y'all could show me a picture on how to,that will be fine as well.
Find x. Give you answer in the simplest form. X
Step-by-step explanation:
[tex]x = \frac{7}{ \sqrt{3} } = \frac{7 \sqrt{3} }{ \sqrt{3 } \times \sqrt{3} } = \frac{7 \sqrt{3} }{3} [/tex]
What is the value of 72-2[3+2(5-1)]
Answer:
50
Step-by-step explanation:
Already done this
Answer:
50
Step-by-step explanation:
i just simplified the expression
An account with the same Principal Amount growing at a rate of 5% will grow the
fastest if the account is *
Simple Interest
Compounded Quarterly
Compounded Monthly
Answer:
Compounded Quarterly
Step-by-step explanation:
This is because the compound interest equation is dependent on the number of times the amount is compounded per year. Monthly is 12 times per year and quarterly is only 4. Simple interest stays at a linear rate.
You are buying notebooks that cost a total of $10.00. There is an 8% sales tax. How much tax will you pay?
The sales tax is $??
Answer:
$.80 the new amount is $10.80
Brainliest Please!!!!?!!!!!!!!!!!
a. Two paths of width 2m each run across the middle of a rectangular
garden of length 60m and breadth 40m. What is the total area
covered by the both paths.
b. The area of a rectangular field is 60000 m². If the ratio of length
and breadth is 3:2, find its perimeter.
Answer:
196 m² ; 1000 m
Step-by-step explanation:
Given that:
Dimension of rectangular garden = 60m by 40m
Width of the 2 paths that run across each other = 2m
Hence,
Area of path 1 = (length * width) = (60 * 2) = 120m²
Area of path 2 = (breath * width) = (40 * 2) = 80m²
Area of Point where both paths cross each other (2 * 2) = 4m²
Total area covered by both path = (120m² + 80m² - 4m²) = 196m²
B.)
Area of rectangular field = 60000m²
Ratio of length and breadth = 3 : 2
Length * breadth = 60000
x ; breadth = (2/3)x
x * (2/3)x = 60000
2/3 x² = 60000
x² = 60000 ÷ 2/3
x² = 40,000
x = sqrt(40000)
x = 200
(3/2) * 200 = 300
Length = 300
Hence,
Perimeter = 2(length + breadth)
Perimeter = 2(300 + 200)
Perimeter = 2(500)
Perimeter = 1000m
What is the value of f in the equation f/4=8 please help
Answer:
f=32
Step-by-step explanation:
f /4 =8
( f/ 4 )*(4)=(8)*(4)
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family? (This is a hard one)
Answer:
there are 3 girls and 4 boys in the family. The girl has 3 sisters and 3 brothers.
Step-by-step explanation:
If there are 4 girls and 3 boys than the girl has 3 sisters and 3 brothers.
the boy has 4 sisters and 2 brothers. 2 is half of 4.
SOMEONE ANSWERR PLEASE
Answer:
Addition
Step-by-step explanation:
By simple addition we can reduce the no. Of steps involved.
Answer:
Subtracting; x = 3/2, y = 8
Step-by-step explanation:
1. Subtracting them from one another because the 1/2y term matches up.
2. when added together:
8x = 12
x = 3/2
plug the x value into one of the equations:
y = 8
d-3
----- =11
4
What does D =?
I just wrote a formal email to my teacher. What do you think their response was?
A. (Something formal back)
B. K
C. (Emailing me something back that's basically complete gibberish)
D. Thanks
(This is a joke just take the points, you earned them.)
Answer:
A
Step-by-step explanation:
I Don't Understand This One Ether ._.
Answer:
B
Step-by-step explanation:
Solve for y ..............
Answer:
Im not gonna explain i will give you the answer that i came up with I currently have 60 right now hope this is right
Step-by-step explanation:
explain why the terms 4x and 4x^2 are not like like terms
Answer:
well for me it's because
Step-by-step explanation:
Of the raise to power
A bucket holds b liters of water. But a jar holds 8 fewer liters than the bucket. How many times can the bucket hold than the jar? Thanks for your help!
Answer:
b / (b - 8)
Step-by-step explanation:
Given that :
Litres of water held by bucket = b
Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8
The number of times bucket can hold than jar is :
Litres held by bucket / litres held by jar
b / (b - 8)
write a coordinate proof. Given: Rectangle ABCD has vertices A(0,4), B(6,4), C(6,0), D(0,0). E is the midpoint of line DC. F is the midpoint of line DA. Prove: The area of rectangle DEGF is one fourth the area of rectangle ABCD.
Please help I've been trying for a while
Answer:
The answer is below
Step-by-step explanation:
Distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]
[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The area of rectangle = length * breadth
The area of rectangle ABCD = |AB| * |BC|
[tex]|AB|=\sqrt{(6-0)^2+(4-4)^2}=6\\\\|BC|=\sqrt{(6-6)^2+(0-4)^2} =4[/tex]
The area of rectangle ABCD = |AB| * |BC| = 6 * 4 = 24
E(x, y) is midpoint of line DC. Its coordinate is:
x = (6 + 0) / 2 = 3; y = (0 + 0) / 2 =0
The coordinate of E = (3, 0)
F(a, b) is midpoint of line DA. Its coordinate is:
a = (0 + 0) / 2 = 0; b = (4 + 0) / 2 = 2
The coordinate of E = (0, 2)
The area of rectangle DEGF = |DE| * |DF|
[tex]|DE|=\sqrt{(3-0)^2+(0-0)^2}=3\\\\|DF|=\sqrt{(0-0)^2+(2-0)^2} =2[/tex]
The area of rectangle ABCD = |DE| * |DF| = 3 * 2 = 6
Therefore, area of rectangle DEGF is one fourth the area of rectangle ABCD
I really hope you can see it if you can’t please ask me what it says cause I really need help
Answer:
1. 20 cm^2
2. 40 cm^2
3. 14 cm^2
4 49 cm^2
Step-by-step explanation:
Area of triangle= 1/2(base)*(height)
Area of rectangle= (base)*(height)
1. 1/2(10)(4)=20
2. (8)(5)=40
3.1/2(4)(7)=14
4. (7)(7)=49
What is 56/8 ? please answer this!
Answer:
7
Step-by-step explanation:
y=2x-7
y=-3x+18
solve by substitution
Answer:
-x+11
Step-by-step explanation:
am not sure if this is correct but
2x-3x=-x
-7+18=11
-x+11
PLSS HELP ILL GIVE YOU BRAINLIEST!!
Answer:
Step-by-step explanation:
Q1)
Use Phythogoras theorem:
[tex](AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20} \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}[/tex]
Q2)
Apply phythogoras theorem:
[tex]CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4[/tex]
Q3)
Apply phythogoras theorem again:
[tex]BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218} \\\\BC=\sqrt{218} \\\\BC=14.76[/tex]
I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9
The graph of f(x)=3x is reflected across the x-axis. Write a function g(x) to describe the new graph.
g(x)=___
Answer:
g(x) = -f(x)
Step-by-step explanation:
When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)
The graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is a reflection across the x-axis?Reflection across the x-axis is defined as reflecting a point across the x-coordinate and y-coordinate change places, and When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)
To determine the graph of f(x) = 3x is reflected across the x-axis.
So the graph of f(x) = 3x is reflected across the x-axis.
⇒ g(x) = f(-x) = 3x
Hence, the graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.
Learn more about the graphs here:
brainly.com/question/16608196
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