Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answers
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
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How much gold fabric do you need to create the flag?
What percent of the flag is gold?
Answers
Answer:
13%
Step-by-step explanation:
the area of the flag is 4x6=24 the circle has an area of 3.14. 3.14/24 is 13%
The percent of the flag is gold should be considered as the 13%.
Calculation of the percentage:Since
In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.
So here the area of the flag should be
= (4) (6)
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= 3.14/24
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hence, The percent of the flag is gold should be considered as the 13%.
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what is the y-intercept of the equation 6x-3y=36
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Answer:
(0, -12)
Step-by-step explanation:
Using the slope-intercept form, the y-intercept is 12.
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Answer:
33
Step-by-step explanation:
In ΔPQR,
length of side=
77= 7×11
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Similarly, In ΔFGH
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33
Step-by-step explanation:
[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values
[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
23 divided by 4 is 14.3
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Answer:
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Step-by-step explanation:
It's really simple
Find the mean and the standard deviation of the data set {2, 3, 6, 7, 6}.
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Answer:
Yes.
Step-by-step explanation:
Yes.
To have a function, you cannot use the same value for an x-coordinate more than once. Here, each value of an x-coordinate is used only once, so it is a function.
Answer:
Yes.
Step-by-step explanation:
It is a many-to-one function. Both 3 and 1 map to 8.
2 maps to to 3 and -1 maps to 4 which is one-to-one.
There are no one to many mappings so it is a function.
[tex] \sqrt{40} [/tex]
Answers
Answer:
√40 = 2√10=6.32455532034
Answer:
2✓10
Step-by-step explanation:
Assuming you'd like to simplify:
✓4✓10
2✓10
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I think it is 1/8 I'm not sure.
Answer:
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Step-by-step explanation:
The dimensions of a right rectangular prism are shown below.
1 in.
in
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I will mark brainliest.
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The number of cubes will be 546.
What is the volume?The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
The volume of the cuboid is,
Volume = (2¹/₆ x 1¹/₆ x 1 )
Volume = ( 13 / 6 ) x ( 7 / 6)
Volume = 91 / 36
The volume of a small cube is:-
Volume = (1/6) x (1/6)
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Number = (91 x 216) / 36
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Step-by-step explanation:
3p²=-3
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b²-4ac is a negative number.
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Answer:
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Step-by-step explanation:
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The work for median is you order the data: 2222113 in Lowest to highest;
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median is the median is the middle value in the set.
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Answers
Answer:
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ii. 940.9
Step-by-step explanation:
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or, CP + 10/100 × CP = 900
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Answer: it’s D. I took the test
The correct interpretation are,
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Given that, the hypotenuse of a right triangle measures 25.
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Answer:
The answer is 1086 in³
Step-by-step explanation:
Max's Moving Company charges a $75 loading fee to move your boxes. They also charge $2 per mile that they have to drive the van to move you boxes from one place to another.
Answers
Answer:
y=75+2x
Step-by-step explanation:
Given data
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and the total charge be y
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y=75+2x
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Answers
Answer:
$1236.67
Step-by-step explanation:
I = Prt
P = 26500
r = 0.07
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I = (26500)(0.07)(2/3)
I = 1236.67
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Answers
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Step-by-step explanation:
A bag contains 5 white marbles and 30 blue marbles. If a representative sample contains 2 white marbles, then how many blue marbles would you expect it to contain? Explain. Because the ratio of white marbles to blue marbles is ▼ 6:5 6:1 5:6 1:6 in the population, the expected number of blue marbles is nothing times the number of white marbles in the representative sample. There should be nothing blue marbles.
Answers
Answer:
6:1
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
The expected number of blue marbles in the representative sample is 10. This is because the ratio of white marbles to blue marbles in the population is 5:6, so for every 5 white marbles there are 6 blue marbles. Since the representative sample contains 2 white marbles, the expected number of blue marbles should be 6 times the number of white marbles, or 6 x 2 = 10.
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Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
4
Slope, m =-
7
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Answers
Answer:
I believe this should be your answer Y=-7x+7
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Answer:
x = 25
Step-by-step explanation:
53 = 2x + 3
x = (53 - 3)/ 2
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Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.
Answers
Answer:
[tex]Total = 32.4in^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
The surface area of the pyramid
To do this, we calculate the surface area of each of the pyramid faces.
For the equilateral triangle.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.9in[/tex]
The area is:
[tex]A_1 = 0.5 * Base * Height[/tex]
[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]
[tex]A_1 = 8.775in^2[/tex]
There are 3 isosceles triangles of equal dimension.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.5in[/tex]
The area of one of them is:
[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]
[tex]A_2 = 7.875in^2[/tex]
For the 3, the surface area is:
[tex]3A_2 = 7.875in^2 * 3[/tex]
[tex]3A_2 = 23.625in^2\\[/tex]
The total surface area is:
[tex]Total = 8.775in^2 + 23.625in^2[/tex]
[tex]Total = 32.4in^2[/tex]
Plz help
In the diagram, ABC is a straight line.
Work out the size of the angle marked x.
(4 marks)
Answers
Answer:
Why is the picture dark ?
please help i suck at math and I am in class
Answers
Answer:84.84m^2
Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.
Step-by-step explanation:
This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.