Step-by-step explanation:
the scenario creates 2 similar triangles :
one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.
and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.
similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.
and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.
we see : large triangle side / small triangle side = 2/1 = 2
and therefore, the same factor (2) applies to the heights.
so,
height of house / height of tree = 2
therefore,
height of tree = height of house / 2 = 150/2 = 75 ft
HELP NOW! 20 POINTS!
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!
Answer:
3rd option
Step-by-step explanation:
Answer:
it's the first option (x ≥ -4)
Step-by-step explanation:
Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.
x ≥ -4
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing
Answer:
[tex]\frac{3}{25\pi}[/tex] meters per minute
Step-by-step explanation:
Given:
[tex]V=\pi r^2h[/tex]
[tex]r=5[/tex]
[tex]\frac{dV}{dt}=3[/tex]
[tex]\frac{dh}{dt}=?[/tex]
Substitute r=5:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi(5)^2h[/tex]
[tex]V=25\pi h[/tex]
Differentiate both sides:
[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]
[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]3=25\pi\frac{dh}{dt}[/tex]
[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]
Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.
Which equation choice could represent the graph shown below?
What is the value of 8.25p + 3.99c, when p=11 and c= 7? *
Answer:
Your answer is p=3.99;$51.87
Calculate the distance between the points G=(-9, 8) and C=(-1, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
10.63
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
01(x2-x1) = (-1 - -9) = 8
(y2-y1) = (1 - 8) = -7
Square the results and sum them up:
(8)2 + (-7)2 = 64 + 49 = 113
Now Find the square root and that's your result:
Exact solution: √113 = √113
Approximate solution: 10.6301
Two similar triangles are shown on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)
Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis
The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
The coordinates of the triangles are given as:
Triangle ABC
[tex]A =(-2, -1)\\[/tex]
[tex]B =(0, 0)[/tex]
[tex]C =(1, -3)[/tex]
Triangle A'B'C'
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Start by dilating triangle ABC by a scale factor of 2.
The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]
So, we have:
[tex]A' =(-4,-2)[/tex]
[tex]B' =(0,0)[/tex]
[tex]C' = (2,-6)[/tex]
Next, we reflect the triangle across the x-axis.
The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
Read more about transformation at:
https://brainly.com/question/4057530
2 Divided by 1 / 5. Rlly need help on this
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
Help please!!!!!!!!!!!!!
Answer:
Hm? Is there meant to be a file, if so I can’t see it. :((
Step-by-step explanation:
NEED HELP ON THIS EQUATION!!!
Answer:
1.2x + 3
Step-by-step explanation:
It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.
help me answer please
Answer:
Sorry
Step-by-step explanation:
Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest
Answer:
26.18 units
Step-by-step explanation:
You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.
11.18 + 5 + 10
= 26.18 units
The perimeter of triangle is 26.18.
What is triangle?A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.
According to the question,
Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).
Distance formula: √(x₂-x₁)² + (y₂-y₁)².
Points A and B are (-6,2) and (-3,6)
= √(-3-(-6))² + (6-2)²
= √9+16
= √25
=5.
Thus, point A and B has distance, S₁ = 5.
Points B and C are (-3,6) and (5,0)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(5-(-3))² + (0-6)²
= √(8)² + (-6)²
= √(64+36)
=√100
=10.
Thus, point B and C has distance, S₂ = 10.
Points C and A are (5,0) and (-6,2)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(-6-(5))² + (2-0)²
= √((-11)² + (2)²)
=√(121+4)
=√125
=5√5
Thus, point C and A has distance, S₃= 5√5.
Perimeter of triangle = S₁ + S₂+S₃
= 5 + 10 + 5√5
=15+5√5
=15+5(2.23606)
=15+11.1803
=26.1803 ≈ 26.18
Hence, the perimeter of triangle is 26.18.
Learn more about Triangle here
https://brainly.com/question/15590074
#SPJ2
the difference of a number and 7
Answer:
x-7
Step-by-step explanation:
Find profit or loss percent if CP-Rs 900 and loss =Rs 360
loss%=loss/CP×100%
=Rs.360/Rs.900×100%
=Rs. 360/9
loss% =40% ans
i don't understand help me please math!!
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.
A) 15%
B) 85%
C)60%
D)35
Explanation:
Let's say this school has 1000 seniors.
25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.
Divide that last number over the original value: 150/1000 = 0.15 = 15%
The probability that the senior selected randomly is a blue-eyed female is 15%.
It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.
What is the probability?Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.
Probability of event = Number of favorable outcomes / Total number of outcomes.
Let's consider this school has 1000 seniors.
25% of this count
0.25 × 1000 = 250
Which shows that there are 250 seniors with blue eyes.
Similarly, 60% of them are girls with blue eyes.
So, there are 0.60 × 250 = 150
there are 150 female seniors with blue eyes.
Here, the probability that seniors selected randomly is a blue-eyed female
150/1000 = 0.15
= 15%
Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.
Learn more about the probability here;
https://brainly.com/question/795909
Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2
Answer:
• y = -6x-5
Step-by-step explanation:
Sixth grade
X Factor numerical expressions using the distributive property. MX2
Which expression shows a way to factor 63 + 49?
21(3 + 2)
7(9 + 7)
9(7 + 6)
3(21 + 16)
Hey there!
“63 + 49”
21(3 + 2)
= 21(3) + 21(2)
= 63 + 42
= 105
Option A. isn’t the answer because the equation for that is: 63 + 42
7(9 + 7)
= 7(9) + 7(7)
= 63 + 49
= 112
Option B. could possibly be your answer
9(7 + 6)
= 9(7) + 9(6)
= 63 + 54
= 117
Option C. isn't your answer because the equation for that is: 63 + 54
3(21 + 16)
= 3(21) + 3(16)
= 63 + 48
Option D. isn’t your answer because the equation for that is: 63 + 48
Thus, this makes makes [Option B. 7(9 + 7)] is your answer
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
The answer 120 MESSAGES
The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base
Step-by-step explanation:
V epual to L x W x H
9.6cm x 0.8cm
9.6
x 0.8
46
Answer:
12 cm
Step-by-step explanation:
[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]
Find the term indecent of x in the expansion of (x^2-1/x)^6
By the binomial theorem,
[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]
I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient
[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]
Which situation could this graph represent?
a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy
Answer:
A because the other answer choices are not associated with what is in the graph
Someone please help me with this it’s an emergency
Answer:
The answers are given in the photo
add the expression(3x+2)+(2x+5)
Find the value of x, y, and z.
Pls help trig question!!
[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]
[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]
..............................
Answer:
A rational number is a number that doesn't terminate or repeat
a non rational number is a number that terminates or repeats
so she basicelly got mixed up
Hope This Helps!!!
Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?
Answer:
10
Step-by-step explanation:
I converted 8 hours to minutes so solve the equation easily
8 hours = 480 minutes
I subtracted the amount of time she takes for a break
480- (15+15) = 450
To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.
[tex]\frac{450}{45}[/tex]= 10
Therefore, she could fix 10 computers during her 8 hours of work.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Find the area of a rectangle & triangle! NEED HELP ASAP
Answer:
For rectangle: A=wl
Step-by-step explanation:
Multiply the length by the with to find the answer
1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.
8 is added to a number.
2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?
Original Equation:
4x-5= -4
First Step:
4x= 1
A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication
Answer:
The answer is C since she is adding 5 to both sides
Hope This Helps!!!