Answer:
[tex]\Large \boxed{11.08}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
AD/DC = BE/EC
Let the length of EC be x.
6/14 = 4.75/x
Solve for x.
Cross multiply.
6 × x = 14 × 4.75
6x = 66.5
Divide both sides by 6.
(6x)/6 = (66.5)/6
x = 11.083333...
Greetings from Brasil...
Here we can use similarities of triangles
AC/DC = BC/EC
20/14 = (4.75 + X)/X
X ≅ 11.1
see attachment
you have decided to hire a disc jockey for your party. the second dj you interviewed has 3 times as many songs as the first dj. the third dj had half as many songs as the second dj. write an expression to represent the number of songs the third has if the first dj had r songs. explain how you arrived at your answer
Answer:
The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
Step-by-step explanation:
Answer:
The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
Step-by-step explanation:
just did
Why is it important to consider scale when graphing inequalities?
Answer:
Because to get a straight line you need a scale. Otherwise you will not be able to graph a straight line.
Hope this helps:)
If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x ^ 2 + 3
g(x) = x ^ 2 - 7
(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )
Distribute the minus sign
=2x ^ 2 + 3 - x ^ 2 + 7
Combine like terms
= x^2 + 10
How many dimes are there in four hundred
and sixty-seven million dollars?
Answer:4,670,000,000
Step-by-step explanation:
You just have to multiply 467,000,000 by 10
Answer:
4,670,000,000
Step-by-step explanation:
multiply by 10
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?O Place compass at point D, and draw an arc that intersects the arc above overleftrightarrow DF O Place compass at point F, and draw an arc that intersects the arc above overline DF O.Place compass at point P, and draw an arc above overline DF O Place compass at point P, and draw an arc below overline DF
Answer:
Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA 2nd answer.
Step-by-step explanation:
what is the value of F? (ap physics summer hw) show work
See the attached picture.
6 times the sum of a number and four is forty- two
Answer:
3
Step-by-step explanation:
6(x+4)=42
x=3
check:
6*(3+4)=42
The probability of winning a card game is an example of theoretical probability.
True or False
Answer:
nice answer
Step-by-step explanation:
true because there is every assurance that you might lose or win
Could someone please explain/help me to do this using Pythagoras theorem?
Answer:
[tex]\boxed{478.02}[/tex]
Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02
Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
[tex]\Large \boxed{161\°}[/tex]
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
evaluate the function
f (x) = -x + 3 when x = 5
pls help :(
Answer:
f(5) = -2
Step-by-step explanation:
f (x) = -x + 3
Let x = 5
f(5) = -5+3
f(5) = -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{f(x) = -x + 3}\\\huge\boxed{\rightarrow}\huge\text{ f(x) = -5 + 3}\\\huge\boxed{\rightarrow}\huge\text{ y = -5 + 3}\\\huge\boxed{\rightarrow}\text{ y = -2}\\\\\\\boxed{\boxed{\huge\text{Answer: \bf f(x) = -2}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
what is the coefficient of the variable in the expression 4-3x
As per the question,
We have to find what's the coefficient.
Let's start to seperate the expression.
Here,
x is the variable,
4 is a number.
-3 is also a number.
4, -3x
The number with x here is -3 in (-3x) as the coefficient is (-3) in the given equation.
Answer:
Hey there!
Rearrange the expression to: -3x+4
The coefficient would be -3.
Let me know if this helps :)
whats a common denominator for 3/5 and 3/8
Answer:
40
Step-by-step explanation:
Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,
L.C.F. = 1×5×8 = 40, so common denominator = 40
you need to fence off two rectangular lots. the larger of two lots is 45 feet long and 22 feet wide, while the smaller lot is 24 feet long and 16 feet wide. How much fencing in feet will you need to fully enclose both lots?
==============================================================
Explanation:
I'll assume that both lots are not adjacent. So we have two separate rectangles that aren't touching.
We use the rectangle perimeter formula
P = 2(L+W)
where L is the length and W is the width. For the first rectangle, we have L = 45 and W = 22, so
P = 2(L+W)
P = 2(45+22)
P = 2(67)
P = 134
You need 134 feet of fencing for the 45 ft by 22 ft rectangle.
Repeat for the other rectangle
P = 2(L+W)
P = 2(24+16)
P = 2(40)
P = 80
You need 80 feet of fencing for the 24 ft by 16 ft rectangular lot.
Overall, you need 134+80 = 214 feet of fencing
------------------------
Extra info (optional section):
Now if the two lots are touching in some way, then you won't need as much fencing. This is because the two lots will share the bit of fencing between them. This might apply to a portion of one side, or the entire side, of either rectangle. It depends how the lots are laid out.
The assumption that the lots aren't adjacent considers the worst case scenario, aka the situation where you'll need the most fencing (hence the largest cost). This will allow you to prepare for the worst and not be caught off guard. All of this assumes there is no waste, and that there are no gaps or overlaps. If there is expected to be some inefficiency of waste (which is fairly realistic in my opinion) then it's probably a good idea to slightly overshoot this target.
Simplify the expression. (5x2 - x - 7) + (2x2 + 3x + 4)
Answer:11+2x
Step-by-step explanation:
(10-7-x)+(4+4+3x)
3-x+8+3x
3+8+3x-x
11+2x
Evaluate each expression. Name the property used in each step.
Answer:
7). 1
8). 3
9). 1
Step-by-step explanation:
7). [tex][3\div (2\times 1)]\frac{2}{3}[/tex]
[tex]=[3\div 2]\frac{2}{3}[/tex]
[tex]=\frac{3}{2}\times \frac{2}{3}[/tex]
[tex]=1[/tex]
8). [tex]2(3\times 2-5)+3\times \frac{1}{3}[/tex]
[tex]=2(6-5)+\frac{3}{3}[/tex]
[tex]=2(6-5)+1[/tex]
[tex]=2+1[/tex]
= 3
9). [tex]6\times \frac{1}{6}+5(12\div 4-3)[/tex]
[tex]=6\times \frac{1}{6}+5(\frac{12}{4}-3 )[/tex]
[tex]=1+5(3-3)[/tex]
= 1
Question 15
Last season Derek Jeter had 500 at bats and got 160 hits. What was Jeter's batting average?
Answer:
3.125 was Jeter's batting average
Step-by-Step Explanation:
Just divide his bat number with the total hits
So, ---> 500 at bats / 160 hits
500/160 = 3.125
I need help I need help
Answer:
n-35=40
n=75 (the amount she started with)
Step-by-step explanation:
What are the solutions to this quadratic equation? -2x2+x+4=0
Answer:
=1±33√4
Step-by-step explanation:
Answer:
[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]
Step-by-step explanation:
It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±
This answer is correct on edmentum/plato
Find a linear inequality with the following solution set. Each grid line represents one unit.
Pllzzzzzzz help!!!!!!!!!!
The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.
Answer:
y <= 3x - 4
Standard form: [tex]3x-y-4\geq 0[/tex]
Copy-paste: 3x-y-4>=0
what’s is the quotient for the rational expression shown below?
Answer:
D
Step-by-step explanation:
D is the correct answer
Solve for x. Leave your answer in simplest radical form.
Answer:
2√5
Step-by-step explanation:
hypotenuse of the second triangle = √(9²-5²)
= 2√14
so,
x = √{(2√14)²-6²}
= 2√5
Answer:
2sqrt(5)
Step-by-step explanation:
The left triangle is a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + b^2 = 9^2
b^2 = 9^2 - 5^2
b^2 = 81-25
b^2 =56
Taking the square root of each side
b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)
The right side is also a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 6^2 = (sqrt(56))^2
x^2 +36 = 56
x^2 = 56-36
x^2 = 20
Taking the square root
sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)
A grain of salt is an example of which geometric figure?
Answer: point
Step-by-step explanation:
Pls help me it’s algebra
Answer:
x^2 + 13x + 2
Step-by-step explanation:
The perimeter is all of the sides added up.
11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)
11 + 3x + x^2 + 2 + 6x -5 + 4x - 6
x^2 + 13x + 2
Basically, we combine like terms and you will get a final answer of:
x^2 + 13x + 2.
This is the simplified expression! I hope this helped.
what is the volume of the triangular prism
Answer:
308 cm³Step-by-step explanation:
The volume is:
V = Bl = 1/2(ah)lV = 1/2(7*8)*11 = 308 cm³[tex]\\ \rm\Rrightarrow Volume=Area\:of\;base(Height)[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}Base\times Height \times Height\:of\;Prism[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}(8)(7)(11[/tex]
[tex]\\ \rm\Rrightarrow Volume=4(7)(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=28(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=308cm^3[/tex]
help me please brainliest for the best answer!!
Answer:
The volume of the irregular figure would be 102 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be [tex]6*3*5=30*3=90 cm^3[/tex], and the volume of the smaller rectangular prism would be [tex]3*2*2=6*2=12 cm^3[/tex]. So the volume of the entire irregular figure would be [tex]90+12=102 cm^3[/tex].
Answer:
102
Step-by-step explanation:
Large rectangle:
6 × 3 × 5 = 18 × 5 = 90
Small rectangle:
7 - 5 = 2
3 × 2 × 2 = 6 × 2 = 12
90 + 12 = 102
Hope this helped.
The probability of rain and hail during a storm is 16%. The probability of only rain is 78%. What is the probability of hail given that there is already rain?
Answer:
The answer is 20.5% .
Step-by-step explanation:
This is the answer because it is already raining. since it is already raining we take the 16% and divide that by what has already occured to get 20.5%
The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?
Answer:
2730÷30=91
Step-by-step explanation:
take the number of books and divide it by the number of books each shelve can hold and ull get ur answer
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (−2) marks are awarded for every incorrect answer and 0 for questions not attempted.
Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
Answer:
0 points
Step-by-step explanation:
So first we see that she gets 2 questions correct,
2 * 5 = 10
Then we see that she gets 5 questions wrong,
5 * -2 = -10
Then we see that she doesn't attempt three questions,
3 * 0 = 0;
Now we add up the points,
10 - 10 + 0 = 0 points
Answer:
Heena gets 2 correct and 5 incorrect. She attempts only 7 questions so for the remaining 3 questions she will score zero marks.
So total marks scored by Heena is 5×2−5×2+0 i.e 0marks
Step-by-step explanation:
A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st
Answer:
$763,808.48
Step-by-step explanation:
765,000 - (4,697.77 - (765,000 * .055/12)) =
$763,808.48