Answer:
DF = 10 units
[tex]m\angle DFG = 28^\circ[/tex]
EG = 5.04
Step-by-step explanation:
Properties of Rhombus es
All Sides Of The Rhombus Are Equal. The Opposite Sides Of A Rhombus Are Parallel. Opposite Angles Of A Rhombus Are Equal. In A Rhombus, Diagonals Bisect Each Other At Right Angles. Diagonals Bisect The Angles Of A Rhombus.The image contains a rhombus with the following data (assume the center as point O):
DO = 5 units
GF = 5.6 units
[tex]m\angle FEO = 62^\circ[/tex]
4. Calculate DF
Applying property 4, diagonals bisect each other, thus the length of DF is double the length of DO, i.e. DF=2*5 = 10:
DF = 10 units
5. Calculate [tex]m\angle DFG[/tex]
Applying property 4 in triangle EFO, the center angle is 90°, thus angle EFO has a measure of 90°-62°=28°.
Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.
[tex]m\angle DFG = 28^\circ[/tex]
6. FG is the hypotenuse of triangle OFG, thus:
[tex]OG^2=FG^2-OF^2[/tex]
[tex]OG^2=5.6^2-5^2[/tex]
[tex]OG^2=6.36[/tex]
[tex]OG=\sqrt{6.36}=2.52[/tex]
EG is double OG: OG=2*2.52=5.04
EG = 5.04
solve using roots please show work !! PLEASE HELPS SOMEONE (x+4)^2=0
Answer: I hope this helps^-^
Find the roots of (x+4)2=0 by solving for x
x=−4
Step-by-step explanation:
Help me please please please please
Answer:
-4r + 9
Step-by-step explanation:
Join the r terms, you get -4r, join the numbers, you get 9.
Hope it helps!
A computer was on sale for 270 if the original price was cut by 40% what was the original price
explain.
Answer: 108
Step-by-step explanation: The 40% percent taken away from $270 would be $108, because I round it to 50% percent off and that would $135 but since it's 40% off not 50% so I took away 10% from $135, and that's how I found my answer .
Eight is 1/5 of what number
Answer:
40
Step-by-step explanation:
8 = x/5
x = 8*5
x = 40
PLS HELP
Solve (x - 5)2 = 3
(x - 5)2 = 3
2x - 10 = 3
2x -10 + 10 = 3 + 10
2x = 13
2x/2 = 13/2
x = 6.5
Answer: x = 6.5
Hope this helps!!!
Answer:
x = 6.5
Step-by-step explanation:
6.5 - 5 = 1.5
1.5(2) = 3
Which value for x makes the sentence true?
7,272 + x = 7,670
A.
14,942
B.
14,832
C.
387
D.
398
Answer:
D. 398
Step-by-step explanation:
The way to solve this equation is to subtract 7,272 on both sides to get your x-value. You should get 398 as your x value and your answer.
A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the two squares is 205cm². Find the length of the shorter part of the wire.
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:
[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)
And we expand this polynomial below:
[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]
[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]
[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)
If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:
[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]
By the Quadratic Formula, we determine the roots associated with the polynomial:
[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
How would you write an equation with a slope of 2/3 and a y-intercept of -3
A.y=2/3-3 B.y=3/2x+3 C.y=2/3x-3
Answer: The answer is C) y= 2/3x-3
Step-by-step explanation:
i figure it out
Answer:
C
Step-by-step explanation:
so obviously your slop is 2/3. so it starts with y=2/3. so B is out of the question. since the slope is x in the equation, you still have to add the x in the equation; y=2/3x
"pioneer logs" is a brand of children's toy which is sold in large cylindrical container.
diameter = 29.5cm
height= 27.5cm
what is the surface area of the lateral side ( the curved part)?
Answer:
πd X 27.5
π X 29.5 X 27.5= 2548.61704
2548.62cm
For these questions, give your answers to 1 decimal place.
a) Change 5 out of 19 to a percentage
b) Change 72 out of 123 to a percentage
Answer:
a) 26.3% b) 58.5%
Step-by-step explanation:
(5/19) * 100 = 26.3
(72/123) * 100 = 58.5
Which ratio does not belong with the other three?
Please choose ABCD when answering also :DD
Answer:
The answer is B
Step-by-step explanation:
All other fractions when simplified are equal to 2/5
2 x + 4 x - 3 + 8 x + 18 = 43
whats x
Seven less than the product of a number n and 1/6 is no more than 94
Answer:
n ≤ 606Step-by-step explanation:
Seven less than the product of a number n and 1/6 is no more than 94, translating:
n*1/6 - 7 ≤ 94Solving for n:
n/6 ≤ 94 + 7n/6 ≤ 101n ≤ 101*6n ≤ 606i really need help lol
An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?
Answer:
Ounces of green paint needed = 13.8
Step-by-step explanation:
Blue paint : green paint = 25 : 115
how many ounces of green paint should she mix with 3 ounces of blue paint?
Let
Ounces of green paint needed = x
Blue paint : green paint = 3 : x
Equate both ratios
25 : 115 = 3 : x
25/115 = 3/x
25 * x = 115 * 3
25x = 345
x = 345/25
x = 13.8 ounces
Ounces of green paint needed = 13.8
JODJODODODODODOOODODODDOOOODODODOD
Answer:
thx for the free points
Step-by-step explanation:
The degree of the polynomial function below is ____
f(x)=-3x^5+4x-2
Answer:
the degree of the polynomial is 5
Answer:the
Step-by-step explanation:
Tuesday, January 5th
Question Of The Day:
When John was six years old, he hammered a
nail into his favorite tree to mark his height. Ten
years later at age sixteen, John returned to
see how much higher the nail was. If the tree
grew by five centimeters each year, how
much higher would the nail be?
If the tree grew by five centimeters each year, then the tree will grow 50 cm in 10 years.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
Age when John hammered a nail in the tree = 6 years
John returned to the age of sixteen, then the number of years in between that,
16 - 6 = 10 years.
Rate of increase in height of tree per year = 5 cm
Then, after 10 years, the height of the nail of the tree will be,
10 × 5 = 50 cm.
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Solve for n: 2n < 6
Math pls answer this
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
Evaluate x−y if x=−5 1/4 and y=−6.8 . Write your answer in simplest form.
The answer i got is -1.55, im not sure though
The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression, x - y
x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75
y = -6.8
Substitute x and y into the above expression,
-4.75 - (-6.8) = 2.05
Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".
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fill in the table using function rule y=2x+5. (1. ) (4. ) (5. ) (10. )
Answer:
you plug in the x-values into the equation to get the y-values:
y=2(1)+5
y= 2+5
y=7 or (1,7)
y=2(4)+5
y=8+5
y=13 or (4,13)
y=2(5)+5
y=10+5
y=15 or (5,15)
y=2(10)+5
y=20+5
y= 25 or (10,25)
Step-by-step explanation:
I hope this helps :)
A box of candy contains three times as many cherry pieces. It hasfour more grape pieces than cherry pieces. There are 46 total pieces in the box. How many cherry pieces are in the box
Answer:
The number of cheery pieces in the box are [tex]18[/tex].
Step-by-step explanation:
Let the number of orange pieces in the box be [tex]x[/tex].
The box contains three times as many cherry pieces as orange pieces.
So, the number of cherry pieces in the box be [tex]3x[/tex].
It has four more grape pieces than cherry pieces.
So, the number of grape pieces in the box be [tex]3x+4[/tex].
There are [tex]46[/tex] total pieces in the box.
So, [tex]x+3x+3x+4=46[/tex]
[tex]\Rightarrow 7x+4=46[/tex]
[tex]\Rightarrow 7x=46-4[/tex]
[tex]\Rightarrow 7x=42[/tex]
[tex]\Rightarrow x=\frac{42}{7}[/tex]
[tex]\Rightarrow x=6[/tex]
So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].
Hence, the number of cheery pieces in the box are [tex]18[/tex].
Put the following least you greatest
125%
1 1/2
1.26
Answer:
...
Step-by-step explanation:
Answer:
125 is 1 1/4
so it would b before 1 1/2
and is im right it would b
1.26
125%
1 1/2
Step-by-step explanation:
Help! I would appreciate it
Write 49 cm² in mm^2?
Answer:
[tex]4900 {mm}^{2} [/tex]
Step-by-step explanation:
[tex]1 cm = 10mm \\ 1cm \times 1cm = 10mm \times 10mm \\ 1 {cm}^{2} = 100 {mm}^{2} \\ 49 {cm}^{2} = 49 \times 100 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4900 {mm}^{2} [/tex]
This equation shows how the amount of money Sadie makes from selling lemonade is related to the number of cups sold. d =3c
The variable c represents the number of cups sold, and the variable d represents earnings in dollars. After selling a total of 11 cups of lemonade, how much money will Sadie have in all?
Answer:
r3m3m83r, 4LW475TR95T8R34K09TR00ML1NK5.
Step-by-step explanation:
What is the approximate what is the approximate area of the circle shown below?
A. 908 cm2
B. 53 cm2
c. 3630 cm2
D. 107 cm2
The area of the circle is around 908 square centimeters, so the correct option is A.
How to find the area of the circle?The area of a circle of radius R is given by:
A = pi*R²
Where pi is an irrational number, and we can write it as pi = 3.14
Here we can see that the radius of the circle is 17cm, then we can replace that in the area formula to get:
A = 3.14*(17cm)² = 908 cm²
Then the corret option is A.
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ALGEBRA LOVERSSS!!!!!!!!!!
Answer:
thank ya and i haaaaaate algebra have a bad day
Step-by-step explanation:
!!I WILL GIVE BRAINLIEST!!
Which value is not in the range of the function? Circle the correct answer.
a. 0
b. 3
c. 4
d. 5
graph is attached above^
3 is not in the range.
What is the range?A function's range is the whole set of potential values that it can have. When we insert an x value into the function, the range is the collection of values that results. Range refers to the y values.
Given a figure in which the function is not differentiable since the graph is broken at (-2, 3) and (2, 4). Since at Y = 3 there is no point in the graph. therefore Y = 3 is not in the range of the function.
Learn more about the range here:
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this is part three of four
Answer:
D. 275
Step-by-step explanation:
400/2... So just do 550/2 and you will get your answer