Answer:
[tex] k = 24 \sqrt{2} [/tex]
Step-by-step explanation:
Given is a 45° - 45° - 90° triangle.
According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.
[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)
24*[tex]\sqrt{2}[/tex] =k*1
24[tex]\sqrt{2}[/tex] =k
please help me with these two problems I need help
Answer:
24 area
18.80983669 perimeter
Step-by-step explanation:
1 (6*3/2)*2(1*3/2)+(4*3)
2 trust me
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend total (dinner + tip)?
Answer:
$35.44
Step-by-step explanation:
We can use a proportion to solve this problem
20 : 100 : x : 29.53
x = (29.53*20)/100 = $5.906 (value of the tip)
total cost = 29.53 + 5.906 = $35.436 = $35.44
A hot air balloon is 45 meters above the tall seat building in a city write a equation to show the height b of the balloon if the building is t meters tall
Answer:
b = t + 45
Step-by-step explanation:
Position of hot air Ballon = 45 meters above tall seat building ;
Height of tall seat building = t
Height of Ballon, b = height of tall seat building + 45 m
Hence,
b = t + 45
There are 9 students in a class: 2 boys and 7 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a girl?
a. y-4=1/4(x-4)
b. y-12=1/4(x-6)
c. y-12=4(x-6)
d. y-6=4(x-12)
e. y-4=4(x-4)
f. y-6=1/4(x-12)
Answer:
f. y-6 = 1/4(x-12)
Step-by-step explanation:
the slope eliminates some options right away :
slope = y/x = 1/4, because x has to increase by 8 units for y to increase by 2 unit (or then simplified 4 units for 1).
so, we only need to look at equations with 1/4 as factor of x.
a. covers (12,6) but not (4,4) - wrong
b. covers none of the 2 points - wrong
c., d., e. have the wrong slope
f. is right. for x=12 y is then 6. for x=4 y is then also 4. correct !
PLEASE HELP! Choose one answer
Answer:
c
Step-by-step explanation:
Interquartile range or IQR is the range of the "box" in the graph. So we have 54 and 36 so we subtract 54-36.
So we get 18.
The topic is about secant tangles angles
Answer:
x = 42
Step-by-step explanation:
The tangent- tangent angle is half the difference of the intercepted arcs.
LN (major) = 360 - 138 = 222 , then
x = [tex]\frac{1}{2}[/tex] (222 - 138) = 0.5 × 84 = 42
In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?
What is the distance between (7,2) and (-3,2)?
A.8
B.12
C.4
D.10
Answer:
The answer is D
......(don't mind this it's because it says that it needs to be 20 characters long) but the answer is D
4 1/2 = 1 1/2n = plsss answer
Answer:
Step-by-step explanation:
n = 3
Answer: n= 3
Step-by-step explanation:
i hope this helped :))
please help me im gonna have to do this over again if i get it wrong
[tex]1\frac{1}{2}[/tex] [tex]batches[/tex]
➛➛➛➛➛
[tex]\frac{1/2}{1} =\frac{3/4}{x}[/tex]
[tex]\frac{1}{2} =\frac{3}{4x}[/tex]
[tex]cross~multiply[/tex]
[tex]4x=2(3)[/tex]
[tex]\frac{4x}{4} =\frac{6}{4}[/tex]
[tex]x=\frac{3}{2} =1\frac{1}{2}[/tex]
✂----------------hope it helps...have a great day!!Help Find kif (2, k) lies on the line with equation 2x + 7y = 41
Answer:
i think 11y
Step-by-step explanation:
need help on this plz
Answer:
Step-by-step explanation:10
Bc you times
Answer:
5.4 feet
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
5^2 + 2^2=
25+4=29
√29 = 5.385....
About 5.4 feet
which Venn diagram is shaded to represent the event L AN N
Answer:
I'm not 100% sure but I think its A
I need help... how to simplify this ?
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
the answer should be 5.47 if im seeing right the 30 only the b's only the the product or something
Step-by-step explanation:
hope this helps if so mark it brainliest and if you want join meeting
Express the following in the form a +bi, where a and b are real numbers:
[tex] \sqrt{24 + 10i} [/tex]
Another accepted answer is -5-i, but if your teacher wants only one answer, then I'd go for 5+i
======================================================
Work Shown:
[tex]\sqrt{24+10i} = a+bi\\\\\left(\sqrt{24+10i}\right)^2 = (a+bi)^2\\\\24+10i = a^2+2abi+b^2i^2\\\\24+10i = a^2+2abi+b^2(-1)\\\\24+10i = a^2+2abi-b^2\\\\24+10i = (a^2-b^2)+(2ab)i\\\\[/tex]
Equating terms, we have this system
[tex]\begin{cases}24 = a^2-b^2\ \text{.... real terms}\\10 = 2ab\ \text{.... imaginary terms}\end{cases}[/tex]
Solve the second equation for b to get b = 5/a
Plug that into the first equation to solve for 'a'
[tex]24 = a^2-b^2\\\\24 = a^2-\left(\frac{5}{a}\right)^2\\\\24 = a^2-\frac{25}{a^2}\\\\24a^2 = a^4-25\\\\0 = a^4-24a^2-25\\\\a^4-24a^2-25 = 0\\\\(a^2-25)(a^2+1) = 0\\\\(a-5)(a+5)(a^2+1) = 0\\\\[/tex]
Setting each factor equal to zero would lead to...
a-5 = 0 solves to a = 5a+5 = 0 solves to a = -5a^2+1 = 0 solves to a = i and a = -iWe're told that 'a' is a real number, so we ignore the solutions "a = i and a = -i". The only possible solutions are a = 5 and a = -5
If a = 5, then,
b = 5/a = 5/5 = 1
So
[tex]\sqrt{24+10i} = a+bi = 5+1i = 5+i[/tex]
or in short,
[tex]\sqrt{24+10i} = 5+i[/tex]
-----------------
If a = -5, then b = 5/a = 5/(-5) = -1
So it's very possible that we could also say
[tex]\sqrt{24+10i} = -5-i\\\\[/tex]
If you wanted to combine the two we would use the plus/minus notation like so
[tex]\sqrt{24+10i} = \pm(5+i)\\\\[/tex]
This is due to (5+i)^2 and (-5-i)^2 both having the same result of 24+10i. Hence the plus/minus. If your teacher wants one answer only, then I'd go for 5+i, as we could consider it a "principal" square root in a sense.
Decide if 7x+3=4x+3 has no solution, one solution, or infinitely many solutions
Answer:
0, one solution
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
7x+3=4x+3 only has one solution which is x = 0.
Hope this helps! :)
Try using symbolab if you're confused
O salário mensal de um vendedor é de R$ 750,00 fixos mais 2,5% sobre o valor total em reais, das vendas que ele efetuar durante o mês. Em um mês em que suas vendas totalizaram x reais, o salário do vendedor será dado pela expressão: *
Responder:
750 + 0,025X
Explicação passo a passo:
Dado que :
Rendimento Fixo = R $ 750
Ganho variável = 2,5% das vendas totais
Se vendas totais em um mês = x
O valor total ganho = custo fixo + variável
Custo variável = 2,5% * x = 0,025X
Custo total: 750 + 0,025X
what is 200x400x600x800
please help i'm beggin
Answer:38400000000
Step-by-step explanation: I just do it like 2 numbers i just write it down like a line it is kind of hard you could do it an easier way but i like doing it like that :)
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
Answer:
Step-by-step explanation:
The coordinate is (x,-y)
-20 integer whole number irrational or rational etc
Answer:
The number -20 is rational
Answer:
the answer is irrational!
Step-by-step explanation:
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
Isis works at a restaurant. Today, it takes him 16 minutes to fold 40 napkins. He plans to fold napkins for 30 minutes tomorrow. If he works at the same rate, how many napkins will he fold tomorrow?
People were surveyed about the types of pets they own and their housing situation. Each person has only one pet. For people who live in a condo, what is the relative frequency with which a person owns a cat?
Answer:
The answer is 6.3
Step-by-step explanation:
Which value(s) of x are solution(s) of the equation below
Hi there!
[tex]\large\boxed{x = -1}[/tex]
We can solve by multiplying each term to get a common denominator:
[tex]\frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{x^2-6x+8}[/tex]
[tex]\frac{x -2}{(x - 4)(x - 2)} + \frac{x(x - 4)}{(x - 2)(x - 4)} = \frac{2}{x^2-6x+8}[/tex]
Since the denominators are all the same (x² - 6x + 8 factors to (x - 2)(x - 4)), we can ignore them temporarily and solve the numerator:
x - 2 + x(x - 4) = 2
Simplify:
x - 2 + x² - 4x = 2
x² - 3x - 4 = 0
Factor:
(x - 4)(x + 1) = 0
x = -1, 4
For the values of x to be a solution, they cannot cause the denominator to be equal to 0, so:
(x - 2)(x - 4) = 0
x = 2, 4. These values result in a denominator of 0, which is undefined.
Thus, the only solution is x = -1.
How do you solve (-10) - (-3)
Answer:
-7
Step-by-step explanation:
-10 - -3
- 10 + 3
-7
(a double negative becomes a positive)
Answer:
-7
Step-by-step explanation:
anyone know this ♀️ ??
Answer:
B. 4 cups
Step-by-step explanation:
trust me
Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)
Answer:
merhabalar !
HAVE A NİCE DAY
What is the area of a rectangle whose side lengths are o and g?
Answer:
Area=Base length x Height
Area= O x g.
HELPP PLZZ
ASAP TYYY
Yes, this parabola is a function because it passes the vertical line test!
The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!
Hope this helps!! :)