Answers
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of triangle ABC, hence:
18 ft² = (1/2) * 3 * h
h = 12 ft
Let x represent the height of triangle EFG, hence:
x/12 = 2/3
x = 8 feet
Area of EFG = (1/2) * 2 * 8 = 8 ft²
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
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Related Questions
WILL MARK BRAINLIEST
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.
I already did the graph
Answers
y=1/2(0.25)^0-1. +2
y=1/2(0.25)^-1 +2
y=1/2*4+2
y=2+2
y=4
Step-by-step explanation:
set x to 0 to find y intercept
Find some points
y=1/2(0.25)^{x-1}+2x=1
y=1/2+2=5/2=2.5x=2
y=0.25/2+2y=0.125+2y=2.125As you did the graph already so I haven't attached it .
The Y intercept
Put x=0
y=1/2(0.25)^{-1}+2y=1/0.5+2y=2+2y=4Y intercept is 4
30x–100y=3,000 find where the x and y intercept
Answers
Answer:
Slope = -0.020/2.000 = -0.010
x-intercept = 3000/1 = 3000.00000
y-intercept = 3000/100 = 30
Step-by-step explanation:
I think
Answer correctly for branliest!
Answers
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answers
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
PLEASE HELP WILL GIVE BRAINIEST HELPPP!!!!
Answers
Answer:
a. <B = 53°
b. BC = 14
c. x = 14
Step-by-step explanation:
Sine(theta) = Opp/HypCosine(theta) = Adj/HypTan(theta) = Opp/Adja. <B = ?
Use Sine.
Sine(<B) = 12 /15
<B = Sin^-1(12/15)
<B = 53.13
<B = 53°
b. BC = ?
Either use Sine(<A) = BC/16 or Cosine(<C) = BC/16
Will be using Cosine.
Cosine(<C) = BC/16
Cosine(30°) = BC/16
BC = 16 * Cos(30°)
BC = 13.856...
BC = 14
c. x = ?
Looking at the triangle. The triangle is isosceles which mean two side angle or side length are the same.
x = 14
Answer:
A: 53.13
B:13.86
C: 14
Step-by-step explanation:
A can be found by using the trigonometric ratio Sin.
Sin=
[tex] \frac{opp}{hyp} [/tex]
And we have our opposite side and hypotenuse. so insert it:
Sin=12/15
Therefore use sin inverse and input that fraction
[tex]sin { }^{ - 1} ( \frac{12}{15} )[/tex]
=53.13010235
Rounded off to two decimals
=53. 13
B can be found using sin again. Since we know that Sin is opp/hyp and we have the hyp, we are now looking for the opp.
So use Sin(60)=BC/16
Multiply 16 on both sides to get: 16Sin(30)=BC
13.85640646=BC
rounded off to two decimals:
13.86
C can be found using Tan. Tan is opp/adjacent
We have the adjacent and we are looking for the opposite.
So use:
tan(45)=X/14
Multiply 14 on both sides
14tan(45)=X
14=X
Hope that helps!
if x = 4 find 3x - 2x + 24x
Answers
Step-by-step explanation:
= 3x - 2x + 24x
= 3 × 4 - 2 × 4 + 24 × 4
= 12 - 8 + 96
= 12 + 96 - 8
= 108 - 8
= 100
I’m really confused on what the answer is supposed to be
Answers
Answer:
-4 < x < -2
Step-by-step explanation:
Taking the left part of the inequality :
8 > 4 - xx > -4Taking the right part of the inequality :
4 - x > 6-x > 2x < -2Solution :
-4 < x < -2what is the expression in simplest form x^2+x-2/x^3-x^2+2x-2
Answers
Answer:
[tex]\frac{-2}{x^{2} } -2[/tex]
Step-by-step explanation:
[tex]x^{2} + \frac{x-2}{x^{3} } -x^{2} +2x-2[/tex]
= [tex]\frac{-2}{x^{2} } -2[/tex]
Answer: see photo#2
Step-by-step explanation:
What is the distance between the following points?
Answers
Answer:
7.615773105864
Step-by-step explanation:
[tex]\text{let A and B be the points of coordinates} \ A\left( 3,-9\right) \text{and} \ B\left( 6,-2\right)[/tex]
[tex]AB=\sqrt{\left( 6-3\right)^{2} +\left( -2-(-9)\right)^{2} }[/tex]
[tex]=\sqrt{\left( 3\right)^{2} +\left( 7\right)^{2} }[/tex]
[tex]=\sqrt{58} =7.615773105864[/tex]
Determine the percentage (%) of your total daily intake:
% kcal from carbs=
% kcal from fat=
% kcal of protein=
explain please
Answers
Answer & Step-by-step explanation:
USDA's Dietary Guidelines for Americans provide percent ranges for each macronutrient. For adults, the organization recommends consuming 10%–35% of calories from protein, 45%–65% from carbohydrates, and 20%–35% of calories from fat. They also suggest consuming less than 10% of total calories from saturated fat.
x + y = 24
5y = x
The solution to the given system of equations is (x,y). What is the value of y?
Answers
Answer:
The value of y is 4.
Step-by-step explanation:
Note the system of equation:
x + y = 24
5y = x
First, plug in 5y for x in the first equation:
x + y = 24
(5y) + y = 24
Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:
(5y + y) = 24
(6y) = 24
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:
(6y)/6 = (24)/6
y = 24/6 = 4
Now, plug in 4 for y in one of the given equations in the system of equation:
x + y = 24
x + (4) = 24
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:
x + 4 = 24
x + 4 (-4) = 24 (-4)
x = 24 - 4
x = 20
x = 20 , y = 4
~
Check. Use the other equation. Plug in 4 for y, and 20 for x:
5y = x
5(4) = (20)
5 * 4 = 20
20 = 20 (True)
~
The value of y is 4.
An architect is designing a house. She wants the bedroom to have the dimensions of 10 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom?
Answers
The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).
Hence, the den will not have double the volume of the bedroom.
Does the den have double the volume of the bedroom?Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.
Volume of rectangular prism is expressed as;
V = l × b × h
Given that;
Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den = 2h = 2×7ft = 14ftFirst we calculate the volume of the bedroom.
V = l × b × h
Vr = 10ft × 4ft × 7ft
Vr = 280ft³
Next, we determine the volume of the den
V = l × b × h
Vd = 20ft × 8ft × 14ft
Vd = 2240ft³
The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).
Hence, the den will not have double the volume of the bedroom.
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82°
57°
The measure of x is
The measure of y is
The measure of z is
to
Z
102
62⁰
Answers
Answers:
x = 16
y = 41
z = 123
==========================================================
Explanation:
Focus on the large triangle on the left.
The three interior angles of any triangle add to 180 degrees.
57+82+y = 180
y+139 = 180
y = 180-139
y = 41
-------------------
Now focus on the large triangle on the right.
We'll use the same idea as before.
x+102+62 = 180
x+164 = 180
x = 180-164
x = 16
-------------------
The last triangle to focus on is the small one in the middle.
Use the values of x and y to find z.
x+y+z = 180
16+41+z = 180
57+z = 180
z = 180-57
z = 123
Answer:
The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each. Let's first determine x.
[tex]x = 180 - (102+ 62)[/tex]
[tex]x = 180 - 164[/tex]
[tex]x = 16[/tex]
The second step that we need to do is to determine y using 82 and 57.
[tex]y = 180 - (82 + 57)[/tex]
[tex]y = 180 - 139[/tex]
[tex]y = 41[/tex]
The final step is to determine z using x and y
[tex]z = 180 - (x + y)[/tex]
[tex]z = 180 - (16 + 41)[/tex]
[tex]z = 180 - 57[/tex]
[tex]z = 123[/tex]
Therefore, x = 15 and y = 41 and z = 123
Hope this helps!
Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
Answers
The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.
Here, focus (3,1) and directrix y=3
Let the locus of parabola be (x, y)
We know that, in Parabola
Distance between locus to focus = Distance between locus to directrix line
[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]
[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]
On squaring both sides, we get
[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]
[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]
[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]
Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]
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HELPPPPPPPPPPPP!
Penny needs 12 ounces of a snack mix that is made up of chocolate and almonds. The chocolate costs $3.50 per ounce and almonds cost $4.50 per ounce. Penny has $50 to spend and plans to spend it all.
Let x = the amount of chocolate
Let y = the amount of almonds
Determine which equations you would use to form a system of equations for this scenario.
Question 18 options:
x + y = 50
x + y = 12
3.5x + 4.5y = 50
3.5y + 4.5x = 50
3.5x + 4.5y = 12
3.5y + 4.5x = 12
Answers
Answer:
Total ounces should be 12
and hence
x + y = 12
and total money to spend is 50, hence
3.5x + 4.5y = 50
Therefore, these are the two ✌️ equations you should use
x + y = 12
3.5x + 4.5y = 50
find cos 2x if sin x= 5/13 and x is in quadrant 2
Answers
Answer:
cos(2x) = [tex]\frac{119}{169}[/tex]
Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.
Answers
Answer:
(5, -3)
Step-by-step explanation:
Solve for x and solve for y by making each set of brackets equal to 0
You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 3 m/s. The bird is located 60 m above your head. How fast does the angle of elevation of your head change when the horizontal distance between you and the bird is 80 m? (Leave your answer as an exact number.)
Answers
Based on the rate the bird is flying and the distance above your head, the speed of change in the angle of elevation is 0.018 rad/sec.
What is the speed of the change in angle of elevation?First use the Pythogoreous theorem to find the distance between you and the bird at 80 m:
= √(60² + 80²)
= √(3,600 + 6,400
= 100 m
Cos² = 80² / 100²
= 16 /25
Differentiate this to get:
= ((-60 x 16/25) / 80²) x (-3)
= 9/500
= 0.018 rad/sec
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If you put $2,000 into an interest
bearing account, where interest is
compounded quarterly (4 times a year) at
6%, how long will it take for your money
to triple?
Use A = P(1+5)
Solve for t.
t = [?] years
Round your answer to the nearest tenth.
Answers
Answer:
18.4 years
Step-by-step explanation:
The compound interest formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
For this problem we have
[tex]P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000[/tex]
We plug our numbers...
[tex]6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\[/tex]
Then divide
[tex]6,000/2,000=3[/tex]
[tex]3= (1.015)^{4t}[/tex]
Apply log both sides
[tex]3log=(1.015) 4tlog[/tex]
Solve for t
[tex]t= \frac{3log}{(4log(1.015))} =18.4 years[/tex]
Enter the number that belongs in the green box.
Answers
Answer:
B. 2
Step-by-step explanation:
Here we need to the find the value in the green box.
Hence, only evaluate the part to the left of the operation sign.
-(-2)2In real life length can't be a?
Answers
Answer:
depends on where you look
A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password must end with a number, how many possibilities are there? a. 175,760 b. 158,184 c. 156,000 d. 140,400 please select the best answer from the choices provided a b c d
Answers
The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000
The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000
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Rita earns $19.00 per hour. If she gets a 5% raise, what will be her new hourly wage?
A. $19.05
B. $24.00
C. $19.95
D. $18.05
Answers
Answer:
C.
Step-by-step explanation:
Find 5% of 19:
19 x 0.05 = 0.95
0.95 + 19 = 19.95
answer is C. 19.95
What is the coefficient of z in 14xy2z - 3?
Answers
Answer:
2
Step-by-step explanation:
Write a sequence of dilations and translations that maps circle D onto circle C and that shows the two circles you created are similar.
Answers
Answer: Circle d
Step-by-step explanation:
Please help! Evaluate y = (x + 3)(x – 2) at x = r1 and then at x = r2. Show your work below.
Answers
The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively
How to evaluate the function?The function is given as:
y = (x +3)(x - 2)
When x = 1, we have:
y = (1 +3)(1 - 2)
y = -4
When x = 2, we have:
y = (2 +3)(2 - 2)
y = 0
Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively
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8. f^7 • f^1 (1 point)
A. f^8
B. f^7
C. (2f)^8
D. (2f)^7
Answers
Answer:f^8
Step-by-step explanation:
F^7 multiplied by F^1 =f (7+6+1)= f^8F
Help! Please i need it badly
Answers
Answer:
you should take the time and study
Step-by-step explanation:
Find the volume of the oblique cylinder as pictured below with a = 10 cm, h = 17 cm. Do not include units in your answer. Use 3.14 for pie and round your answer to the nearest hundredth. Do not include units in your answer
Answers
The volume of the oblique cylinder that has the given dimension is: 5,338 cm³.
What is the Volume of an Oblique Cylinder?Volume = πr²h, where h is the height and r is the radius of the oblique cylinder.
Given the following:
Radius (r) = a = 10 cmHeight (h) = 17 cmVolume of oblique cylinder = πr²h = (3.14)(10²)(17)
Volume of oblique cylinder = 5,338 cm³
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Right triangles and trigonometry
Answers
Answer:
x=5.11
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees
We also know one of the sides is 42, another is x, and the other one is not marked
We want to find the value of x, which we can do using trigonometry
The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse
Cosine, which is adjacent/hypotenuse
Tangent, which is opposite/adjacent
First, let's find which side is which
The side opposite the 64 degree angle is the opposite; this side is the side marked as 42
The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x
The hypotenuse in this case would be the side that hasn't been marked yet
Since we are given values for both the opposite and the adjacent, let's use tangent to find x
Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.
Therefore, the ratio will be:
[tex]tan(64)=\frac{42}{x}[/tex]
Now we need to solve for x; start by multiplying both sides by x
x * tan(64) = 12
Now divide both sides by tan(64)
x = [tex]\frac{12}{tan(64)}[/tex]
Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode
[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)
So x is about 5.11
Hope this helps!
Topic: trigonometry in right triangles
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