Answer:
89.004
Have a good day :)
The triangles below are similar.
10
y
22
33
12
y = [?]
Answer:
y=15
Step-by-step explanation:
Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15
The value of x is 26.4 unit and y is 15 units,
What is Similarity?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
Given:
As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.
So, 22/ 10 = 33/ y
22y = 330
y = 330/22
y = 15
and, 22/10 = x/ 12
264 = 10 x
x= 26.4
Hence, the value of x is 26.4 unit and y is 15 units,
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Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!
Answer:
B) ΔGRS ≈ ΔART by SAS Similarity
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Try C it probably is your answer
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
Please help!! I’m stuck on this
√-4 - 5x = x
A. x = -1 or x = 4
B. x = -1 or x = -4
C. x = 1 or x = -4
D. x = -5 or x = 4/5
E. x = 1 or x = 4
Answer:
B. [tex]x = -4\,\lor \,x = -1[/tex]
Step-by-step explanation:
Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.
1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given
2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality
3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4) [tex](x+4)\cdot (x+1) = 0[/tex] [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]
5) [tex]x = -4\,\lor \,x = -1[/tex] Result
Hence, the correct answer is B.
Help Me, Now! C. At what value of x will each function equal 90? Both functions will equal 90 when x =
Answer:
When x=2
Step-by-step explanation:
Well in the first one it tells you that 2x is 90.
In the second it's y=40x+10
So you plug 2 in as the x.
y=40(2)+10
y=80+10
y=90
Hope this helps
Answer:
Step-by-step explanation:
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
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Molly opened a savings account to save for a bicycle. She deposited the same amount of money each week. At the end of 18 weeks, she had saved $331.56. How much money did Molly deposit into her account each week?
Answer:
Weekly deposit= $18.42
Step-by-step explanation:
Giving the following information:
Number of weeks= 18
Total amount of money= $331.56
She deposited the same amount of money each week.
To calculate the weekly deposit, we need to divide the total savings by the number of weeks:
Weekly deposit= 331.56 / 18
Weekly deposit= $18.42
Write them equation of the line with the given slope and y-intercept. Slope is -2 and a y-intercept of 5
Answer:
y=-2x+5
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
which is bigger 1/8 or 0.15?
Answer:
1/8 is bigger sike
Step-by-step explanation:
what is 2(x+10)=60 please help
Step-by-step explanation:
2(x+10)=60
x+10=60/2
x=30-10=20
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°PLEASE HELP!
The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?
d
15
sin A=-
17
sin =-
8
17
8
sin =
17
sin e
15
17
Answer:
I dont know what sin is
Step-by-step explanation:
3b-2b+4b 5b I need help please
Answer:
5b
Step-by-step explanation:
Answer:
what sign is between 4b and 5b
Step-by-step explanation:
Gabriella bought three melons for 7.50 how many melons can April buy if she has 17.50
Answer:
7 melons
Step-by-step explanation:
So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.
the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
Answer:
[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]
Step-by-step explanation:
Given rational expression is,
[tex]\frac{2x^2+5x-14}{x-2}[/tex]
x - 2) 2x² + 5x - 14(2x + 9
2x² - 4x
9x - 14
9x - 18
4
Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
Simplify Using Laws of Exponent (4x^-2)^3
Answer:
64*x^-6
Step-by-step explanation:
Simplify Using Laws of Exponent (4x^-2)^3
Given data
(4x^-2)^3
Let us open the bracket
=4^3*x^-2*3
=64*x^-6
=64x^-6
Hence the equivalent is
64*x^-6
G (x ), represents transformations on the parent function of y = (½) x Write the equation for g (x ).
Complete Question:
g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].
Write the equation for g (x ) with the following transformations:
Reflect over y-axis, and shift right 7
Answer:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
Step-by-step explanation:
Given
[tex]y = (\frac{1}{2})^x[/tex]
Represent the function as:
[tex]f(x) = (\frac{1}{2})^x[/tex]
Taking the transformations, one after the other:
Reflect over the y-axis.
This is represented by the rule: (x,y) ==> (-x,y)
So, we have:
[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]
Shift right 7 units
This is represented by (x,y) = (x - b, y)
Where b represents the number of units
So, we have:
[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]
Hence:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
2(7n - 1) >= 3(5 - n)
Answer:
n >= 1
Step-by-step explanation:
2(7n - 1) >= 3(5 - n)
use the distributive property
14n - 2 >= 15 - 3n
+2 +2
14n >= 17 - 3n
+3n +3n
17n >= 17
n >= 1
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Step-by-step explanation:
[tex]2(7n - 1) \geqslant 3(5 - n) \\ 14n - 2 \geqslant 15 - 3n \\ 14n + 3n \geqslant 17 \\ 17n \geqslant 17 \\ n \geqslant 1 \\ thank \: you[/tex]
44 cu. cm of wire is drawn into a wire of diameter 2 mm , the length of wire will be _____.
Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get
[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]
[tex]44000\times \dfrac{7}{22}=4h[/tex]
[tex]14000=4h[/tex]
Divide both sides by 4.
[tex]\dfrac{14000}{4}=h[/tex]
[tex]3500=h[/tex]
Therefore, the length of the wire is 3500 mm or 350 cm.
The students in Mr. McIntyre’s class and the students in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results.
Mr. McIntyre’s Class
A dot plot titled Mister McIntyre's Class. A number line going from 0 to 5 is labeled Number of Pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Mrs. Ramos’s Class
A dot plot titled Misses Ramos's Class. A number line going from 0 to 5 is labeled Number of Pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
Which statement correctly compares the means of the data in the dot plots?
The mean for Mr. McIntyre’s class is about 2 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 2 more than the mean for Mr. McIntyre’s class.
The mean for Mr. McIntyre’s class is about 1 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 1 more than the mean for Mr. McIntyre’s class.
Answer:
B is the answer.
Step-by-step explanation:
took test. 100% sure.
Answer:
Step-by-step explanation:
bbbbbbbbbbbbb
Sanjay determined that one
vertex of a figure was mapped to its image by
translating the point 2 units left and 7 units
down. What is the rule that maps the other
vertices of the figure to their images?
Answer:
T<-2, -7> (x, y)
Step-by-step explanation:
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rule that maps the other vertices of the figure to their images is T<-2, -7> (x, y).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.
In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.
Therefore, the rule that maps the other vertices of the figure to their images is,
(x₁, y₁) = (x-2, y-7), ot it can bse written as T<-2, -7> (x, y),
where x₁ and y₁ are the coordinates of the point after translation.
Hence, the rule that maps the other vertices of the figure to their images is T<-2, -7> (x, y).
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Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
Plssss help! Find the perimeter of each polygon. Assume that lines which appear to be tangent.
Answer:
11) 75.2
12) 44.2
Step-by-step explanation:
angles formed by intersecting lines tangent to a circle are the same length.
11)
Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2
12)
Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2
PLS HELP I NEDD HELP WILL GIVE BRAINLIEST please....
Answer:
22,000
Step-by-step explanation:
c=2πr
2(3.14)3500
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
Expand the expression 9(2t-8)
Answer:
18t-72
Step-by-step explanation:
PLEASE HELP!!!
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
Here are what they equal in their simplest forms!
Step-by-step explanation:
Sin D & Cos E were originally equal to 13 -/3 over 26
-
Sin E & Cos D were originally equal to 13/26
-
Hope I was able to help!
Answer:
sin D = FE/DE = 13√3 /26 = √3 /2
sin E = DF/DE = 13/26 = ½
(sin E = cos D)
cos D = DF/DE = 13/26 = ½
cos E = EF/DE = 13√3 /26 = √3 /2
(sin D = cos E)