Answer:
x = √30
Step-by-step explanation:
We are given an equilateral triangle, so the angles will all be (180/3). = 60
Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x
Tan θ = opposite / Adjacent
Tan 60 = x / √10
Tan 60 = √3
Hence,
√3 = x / √10
x = √3 * √10
x = √30
A 3-member committee has to be formed from 2 teachers and 2 parents. How many combinations are possible?
Step-by-step explanation:
the answer is in the above image
The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Combination and permutationCombinations have to do with selection compared to permutation that has to do with the arrangement.
If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:
Total committee members = 2 + 2
Total committee members = 4 committees
If 3-member committee has to be formed from them, the number of ways this can be done is given as:
4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways
Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Learn more on combination here: https://brainly.com/question/11732255
11. What is the perimeter of the garden?
Answer:
19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
First, add the whole numbers
3, 7, and 8
18
Add the fractions
[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]
IF YOU WANT SIMPLIFIED NUMBER DO THIS
[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]
18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]
Helpppppppppppppppp meeeee
Answer:
3
Step-by-step explanation:
Both angles are congruent because they are opposite exterior angles.
6x+2=x+17
5x=15
x=3
Answer:
x = 23 °
Step-by-step explanation:
6 x + 2 ° + x + 17 ° = 180 °
combine like terms
6x + x + 2 ° + 17 ° = 180 °
7 x + 19 ° = 180 °
7 x = 180 ° - 19 °
7 x = 161 °
x = 161 ° / 7
x = 23 °
i need help please. and explanation will help for tomorrow in a test:)
In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x
Answer:
x = 40
Step-by-step explanation:
< PQR = 180° - (84° + 56°)
= 40°
so x = 40° (corresponding angles QP// RT)
PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.
Answer:
Step-by-step explanation:
First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.
Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).
Hope this helps!
:)
please help guys its urgent
Answer:
option B : Upen
Step-by-step explanation:
To find who saves the greatest. Find who spent the least.
That is find the smallest of these fractions.
To find the smallest among the fraction:
Step 1 : make the denominators the same.
Step 2 : to make denominators same find LCM of 8, 4, 3, 6
Step 3: LCM = 24
[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]
[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]
So 2/3 is the smallest fraction, which means 2/3 spent the least amount from the salary.
Therefore, Upen saves the greatest amount every month.
PLZZZZ ANSWERrrrrrrrrrrr
Please help ASAP!!
I'll mark brainliest!
Answer:
729 x [tex]\frac{1}{3}[/tex]^x
Step-by-step explanation:
the third option
- trial and error
A watch that originally cost $110 has been marked down to $88. What is the percent of the markdown?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
110-88=22
22/110=20
ZABC and ZQRS are complementary angles. If the measure of ZABC= 41º, what is the measure of ZQRS?
Answer:
m∠QRS = 139°
Step-by-step explanation:
yes
If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))
Answer:
Here, given
g(x) = √x
h(x) = x³-1
For gh(4) , we have to find gh(x), so,
gh(x) = g(x³-1)
=√x³-1 [Note⇒root is both for x³ and 1]
Now,
gh(4) = √4³-1
= 3√7 or 7.9
Hope it helps!
4x-8y less than or equal to -16
Answer:
x=0, y=2
Step-by-step explanation:
if you substutute the answers you will get the correct answer
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
Answer:
3rd option
Step-by-step explanation:
Solving the inequality
- 10 < 3x - 4 < 8 ( add 4 to each interval )
- 6 < 3x < 12 ( divide each interval by 3 )
- 2 < x < 4
Since -2 less than x and x less than 4
This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.
The solution is represented on the 3rd graph
Answer:
its the 3rd graph
Step-by-step explanation:
point e is the midpoint of ca and bd. which statements about the diagram are true?
Answer:
Step-by-step explanation: i don’t know to be honest
consider the equation of the line y=-2x+4 what is the value of y when x=2
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
Use the function below to find F(3).
F(x) = 4•C**
O A.
H im
O B.
O c.
4
27
O D.
81
Answer:
4-3
Step-by-step explanation:
solve for x
Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27
Correct option is C.
What is exponential function?As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = 4(1/3)ˣ
exponential function is defined for x∈R
Putting x = 3
f(3) = 4(1/3)³
f(3) = 4/27
Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3
Learn more about exponential function here:
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To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?
17%
19%
36%
70%
Answer:17
Step-by-step explanation:
Because i know its the right answer and i guessed sorry if its wrong
Answer:
17
Step-by-step explanation:
what is 20/100 in it's simplest form?
ik this i just wanna give someone my points lol
Answer:
1/5
Step-by-step explanation:
20/100
Divide the top and bottom by 20
20/20 =1
100/20 =5
20/100 = 1/5
20/100
Divide the top and bottom by 20
20/20 =1
100/20 =5
20/100 = 1/5
[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]
Which is the best description for the graph below?
A graph decreases from (0, 3) to (9, 0).
Answer:
Step-by-step explanation:
As we move from (0, 3) to (9, 0), we see x increasing by 9. This is the 'run.'
At the same time, we see y decreasing by 3. This is the 'rise.'
The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3
Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.
Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in
Answer:
3.897 [tex]in^{2}[/tex]
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= (2.598)(3)
2
A = 3.897 rounded
50 POINTS
Find the approximate values of the five-number summary for the data set represented by this box plot.
Answer:
From the box plot we get:
Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48Answer:
the other person is correct!
Step-by-step explanation:
Show them some love <3!
A:6 and 30
B:8 and 28
C:4 and 16
Answer:
C?
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
It is 300.88.
Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.
find the mean of 11,7,2,8
mean=7
Answer:
n=4
sum =11+7+2+8=28
MEAN=sum/n=28/4=7
Answer:
The Mean is 7.
Step-by-step explanation:
Mean, or average is when you find a number that is reperesentative of the set as a whole.
To find this we add up all the values and divide it by how many values there are.
11 + 7 + 2 + 8 = 28
28/4 = 7
Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags
Answer: 35 meters got it right on TTM
Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.
Answer:
Step-by-step explanation:
3 + 5 +7 +9 + 11 + ....
n = 100
a = 3
d = 5 - 3 = 2
[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]
[tex] \frac{12}{20} - \frac{30}{20} [/tex]
Answer:
-9/10
Step-by-step explanation:
12/20 - 30/20
Since the denominators are the same, we can subtract the numerators
12-30 = -18
Put this over the denominator
-18/20
Simplify by dividing the top and bottom by 2
-9/10
All of the following numbers are rational except _____.
Answer:
What are the numbers?
Step-by-step explanation:
I can help if you give the numbers :)
The temperature in Anchorage, Alaska one morning was -8 degrees Fahrenheit. It rose slightly, increasing only 10 degrees by lunchtime. By dinnertime, the temperature had fallen 8 degrees. What was the ending temperature?
Answer:
The ending temperature was -6 degrees Fahrenheit.
Step-by-step explanation:
First, it was -8 degrees
Then, it was -8+10=2 degrees
Lastly, it was 2-8=-6 degrees