Answer:
19.79 ft
Step-by-step explanation:
Given data
We are given that the dimension of the room is
Length= 14ft
Width= 14ft
Required
The Diagonal of the room
Applying the Pythagoras theorem we have
D^2= L^2+W^2
substitute
D^2= 14^2+14^2
D^2= 196+196
D^2= 392
D= √392
D= 19.79 ft
Hence the distance from one corner to the other is 19.79 ft
R is a supplement of S, S is a complement of T, and mT = 72º . Find mR – mS.
Step-by-step explanation:
complementary angle is 90 degrees
so angle t and s are complementary
measure of angle t is 72 degrees
so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees
so measure of angle s is 18 degrees
angle r and angle s are supplement which means their sum is 180 degrees
so measure of angle r will be 180 minus 18 which gives 162
so measure of angle r is 162 degrees
we need to find measure.of angle r minus measure.of angle s
so 162 minus 18 which gives 14r
Emily collects and trades rocks. She starts with 8x2 rocks, for some number x, and then buys 7x4. She then trades away x5, then gives away 9x, and finally sells another 5 rocks. Write an expression for the number of rocks Emily now has in standard form. Group of answer choices
A.−x5+7x4+8x2−9x−5
B.8x2−5+7x4−9x−x5
C.−9x+8x2+7x4−5−x5
D.−5−9x+8x2+7x4−x5
Answer:
-x^5 + 7x⁴ + 8x² - 9x - 5
Step-by-step explanation:
For the question given:
Rocks traded, sold or given away are denoted by negative values, '-' while rocks bought or purchased are diniywd as positive, '+'
Starting = 8x² ;
Purchase = + 7x⁴ ;
Trades = - x^5
Gives away = - 9x
Sells = - 5
The number of rocks Emily now has :
8x² + 7x⁴ - x^5 - 9x - 5
In standard form:
Arrange in order of power :
-x^5 + 7x⁴ + 8x² - 9x - 5
help me please I'm bad at this
Answer:
39
NOTE: JUST SUBTRACT 45 AND 6
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Have a great day, be safe and healthy
Thank u
XD
He paid a deposit of £120 and made 30 monthly payments of £12.
How much was the total cost?
Answer:
480
Step-by-step explanation:
30x12= 360
360+120=480
The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.
Answer:
7x + 4y = 11,200
Step-by-step explanation:
Let
Number of Admission tickets A = x
Number of Admission tickets B = y
Cost of Admission tickets A = $7
Cost of Admission tickets B = $4
Total cost = $11,200
The equation is:
7x + 4y = 11,200
330 is 16.5% of what (x) value?
Answer:
= 5 Percent
Step-by-step explanation:
HELP ILL GIVE 50 POINTS.!!
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (5, 3072)(5,3072).
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2 hopefully this helped.
Answer:
y=3(4) x
Step-by-step explanation:
I need help with this someone please
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
two patterns start at 0. the rule for pattern A is add 2. the rule for pattern B is add 3. what is the value of pattern B when pattern A has a value of 3.
Answer:4.5
Step-by-step explanation:
A 0 1 2 3
B 0 1.5 3 4.5
*PLEASE ANSWER!!!*
What can you create to help you make a plan on how to spend your money?
a.) A tax form
b.) A deposit
c.) A budget
Answer:
c
Step-by-step explanation:
A budget
hope this helps
Jill can run 5 miles in 45 minutes. If she keeps the same pace, how long will it take her to run 18 miles?
Answer:
T = 162 minutes
Step-by-step explanation:
Given that,
Jill can run 5 miles in 45 minutes.
We need to find how long will it take her to run 18 miles.
[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]
So,
18 miles = (18×9) minutes
= 162 minutes
Hence, 162 minutes will be taken by her to run 162 minutes.
Please help :) I’m really in need of assistance and would appreciate it.
Answer:
[tex]D) 0.5x^3y + 4x^2 y^2 - 2xy^3[/tex]
Step-by-step explanation:
Set up an equation to model the situation,
[tex](-0.5xy)(x^2 + 8xy - 4y^2)[/tex]
Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.
[tex]-0.5x^3 y - 4x^2 y^2 + 2xy^3[/tex]
2(4a+1)=3a
a=? Help plz
Answer:
a=-0.4
Step-by-step explanation:
2(4a+1)=3a
8a+2 = 3a
5a+2=0
5a=-2
a=-0.4
Answer:
a = -2/5
Step-by-step explanation:
2 (4 [-2/5] + 1) = 3 (-2/5)
2 (-8/5 + 1) = -6/5
2 (-3/5) = -6/5
-6/5 = -6/5
Which property can be used to expand the expression -2(3/4x+7)
A. The associative property
B. the commutative property
C. the distributive property
D. the additive identity property
P.S. the 3/4 is three-fourths not division.
Answer:
B. the distributive property
Step-by-step explanation:
Distributive property can be used to expand the expression -2(3/4x+7).
When that property is used, we need to distrubute the monomial to the binomial which is the two terms.
[tex] - 2( \frac{3}{4} x + 7) \\ \Longrightarrow \boxed{- 2( \frac{3}{4} x) + - 2(7)} [/tex]
#BrainliestBunch
Answer:
b
Step-by-step explanation:
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
what is the image of the point (2,-3) after a rotation of 180 degrees counterclockwise about the origin ?
Answer:
is is on the x acsess 2 and go down to -3. Hope this helped!
Step-by-step explanation:
Go to the x acsessw and go to 2 go down to -3 and mark
can you please help me with this question
Answer:
your answer will be 1
Step-by-step explanation:
[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]
hope it helps
When randy works 5 hours as a baseball umpire. he earns $77.50. when he works 18 hours, he earns $279.00. which equation represents randy’s earnings(m) for any number of hours(h)?
Answer:
m=15.5h
Step-by-step explanation:
279 divided by 18 and 77.5 divided by 5 equal 15.5 so that is how much randy gets paid per hour (h)
Answer:
h(15.50)=m
Step-by-step explanation:
He earns 15.50 dollar per hour
77.50/5=15.5
279/18=15.5
PLEASE HELP!! desperate!
Solve this;
What angles are adjacent ?
Answer:
Angle number 5 is adjacent to angle psl
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Step-by-step explanation:
Given
[tex]f(x)=x^3-12x^2+35x-24[/tex]
[tex]f(8) = 0[/tex]
Required
Find all zeros of the f(x)
If [tex]f(8) = 0[/tex] then:
[tex]x = 8[/tex]
And [tex]x - 8[/tex] is a factor
Divide f(x) by x - 8
[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]
Expand the numerator
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]
Rewrite as:
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]
Expand
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]
[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]
Multiply both sides by x - 8
[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]
Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Marking brainliest.
Does anyone listen to indie music? If so, drop your Spotify/indie music please! Need new music
Answer:
is nirvana considered indie? idrk--- but i listen to that band and a lot of rock songs :)
Step-by-step explanation:
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
what is this symbol called plz answer urgent
AB is congruent to AC that is ur Answer
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
PLS HELP ASAP! GIVING BRAINLIST
Answer:
f(x)=(3x+6)(x-2)
Step-by-step explanation:
(3x+6)
(x-2)
Area and perimeter pls
Perimeter 97.24
90 + 5 + 2.25
Area 1008
90 * 5 * 2.24 = 1008
If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
5. It is known that 15% of the seniors in a large high school enter military
service upon graduation. If a group of 20 seniors are randomly selected,
what is the probability of observing two who will be entering military
service? *
Answer:
Hope this helps you. Do mark me as brainliest.
The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
What is a Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
As it is given that 15% of the seniors in a large high school enter military
service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,
[tex]q = (1-p)\\\\q = 1-0.15\\\\q=0.85[/tex]
Now, the probability of 2 seniors out of 20 serving in the military will be,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}[/tex]
Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246