Given that the triangles are similar, then their corresponding sides are in proportion, that is,
[tex]\frac{XY}{AB}=\frac{YZ}{BC}[/tex]Substituting with data:
[tex]\begin{gathered} \frac{40\text{ ft}}{10\text{ ft}}=\frac{YZ}{10\text{ ft}} \\ 40\cdot10=YZ\cdot10 \\ \frac{400}{10}=YZ \\ 40\text{ ft = YZ} \end{gathered}[/tex]Lucia ordered a set of beads. She received 35 beads in all. 7 of the beads were green. What percentage of the beads were green?
Write your answer using a percent sign (%).
The percentage of the beads were green is 20% .
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
Given that
Total number of beads = 35
In which Number of green beads = 7
Find out What percentage of the beads were green?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
So here total value = 35
Value = 7
Put the values in the formula
(value/total value)100%
= (7/35) × 100 %
= 1/5 × 100 %
= 100 / 5 %
= 20 %
Hence , Twenty percent (20%) of the beads were green.
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Given that f(x) = 9 - 2x, find f(3)
a) 1
b) 2
c) 3
d) 4
IN THE PLACE OF x IN THE EXPRESSION 9-2x PLUG IN 3 AND SIMPLIFY.
[tex]f(3) = 9 - 2(3) \\ f(3) = 9 - 6 \\ f(3) = 3[/tex]
OPTION c) IS THE ANSWER.
Put decimals numbers in order
Ok, ok I need help with this and it’s due tomorrow and if I don’t complete it until 11:45 PM I’m gonna fail immediately
Answer:
Least to greatest:
0.03
0.2
0.36
0.38
0.9
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
-5 9/10 divided by 9/10
The most appropriate choice for fraction will be given by -
The quotient obtained on performing the division is [tex]-6\frac{5}{9}[/tex]
What is fraction?
Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.
We can do addition, subtraction, multiplication and division on fractions.
Here,
The given division is
[tex]-5\frac{9}{10} \div \frac{9}{10}[/tex]
Now,
[tex]-5\frac{9}{10} \div \frac{9}{10}\\\\-\frac{59}{10} \div \frac{9}{10}\\\\-\frac{59}{10} \times \frac{10}{9}\\\\-\frac{59}{9}\\\\-6\frac{5}{9}[/tex]
The quotient obtained on performing the division is [tex]-6\frac{5}{9}[/tex]
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i don’t get this help lol
The equation of the parabola using vertex form in the graph is given as; y = (-19/9)(x + 3)².
What is meant by the term parabola?A parabola is a collection of points in a plane which are the same distance apart from a given point and line in that plane. The given point is known as the focus, and the line is known as the directrix. The vertex of the parabola is the midpoint of a perpendicular segment from of the focus to the directrix. The axis of symmetry is the line that connects the vertex and the focus.For the given question;
The curve on the graph in the vertex form is defined by the the equation;
y = a( x – h) 2 + k
Where, (h,k) are the vertex of the curve.
From the graph.
Vertex (h,k) = (-3, 0)
Point = (x, y) = (0, -19)
Put the values in the curve.
y = a( x – h)² + k
-19 = a( 0 – (-3))² + 0
Solving.
a = -19/9
Now, the put the value of a in the equation of parabola.
y = (-19/9)(x + 3)² + 0
y = (-19/9)(x + 3)²
Thus, the equation of the parabola in the graph is given as; y = (-19/9)(x + 3)².
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Claire is building a rectangular frame to hold her stretched canvas painting. she has 14
feet of wood to build the frame. what is the maximum possible area for the painting?
The maximum possible area for the rectangular painting is 12.25 square feet.
A crossed rectangle is a quadrilateral that is formed by the two diagonals, two opposed sides, and two opposite corners of a rectangle (therefore only two sides are parallel).
It is a special illustration of an antiparallelogram in which the angles are not all right angles and equal, despite the fact that opposite angles are equal. There are so-called rectangles with opposite sides of equal length and equal angles that aren't right angles in other geometries, such as spherical, elliptic, and hyperbolic ones.Let the length of the painting be x and the width be y.
perimeter of rectangle = 2( x + y )
or,2( x + y ) = 14
or, x+y = 7
or, y = 7-x
Area of the painting in the form of a function
A(x) = x (7 - x)
A(x) = 7x - x²
Now we find the first differentiation of A(x).
A'(x) = 7 -2x
now , A'(x) = 0
or, x = 7 / 2 = 3.5
Area of the frame = 3.5² = 12.25 square feet.
hence the maximum possible area for the frame is 12.25 square feet.
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What is the solution of the inequality − 4 ≤ 4 x + 8 ?
Answer:
[tex]x \geqslant - 3[/tex]
A line passes through the point (8, 3) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
Answer:
y= 5/2x + -17
Step-by-step explanation:
plug in (8,3) into y=mx+b
3=5/2(8) + -17
then solve for b
If4x-2y=6, then y =?
The triangular prism has a volume 120 yards^3
Please tell me the height of the prism.
In the picture there is a prism. The volume of the prism is 120 yards³. The prism stands 8 yards height.
Given that,
In the picture there is a prism.
The volume of the prism is 120 yards³.
The base is 6 yards and the length is 5 yards.
We have to find the height of the prism.
Take the height of the prism as h.
The volume of a prism is the space that it occupies.
The formula for volume of the prism is (base×height×length)/2
120=(6×h×5)/2
120×2=30×h
240=30h
h=240/30
h=8
Therefore, The prism stands 8 yards height.
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