Answer:
c = 12
Step-by-step explanation:
This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:
hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3With that being said....
c = 2x
6 = x
a = x√3
We know that x = 6, so now solve for a & c:
c = 2(6) = 12
a = 6√3
Hope this helps!
If 25 workers can complete a work in 48 days, then in how many days 20 workers will complete the same work?
Answer:
heya! ^^
given that ,
25 workers together complete a certain piece of work in 48 days.
here , we've to find the number of days in which 20 workers can complete the same work ~
_____________________________
so let's start ~
★ 25 workers complete the work in = 48 days
★ 1 worker will complete the work in = 25 × 48 days
now ,
29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]
hope helpful :D
Answer:
60 days
Step-by-step explanation:
Thing to Remember
Number of workers is inversely proportional to the number of daysSolving
25 men can do a certain amount of work in 48 days25 men is reduced to 20 men ⇒ x 4/5Therefore, no. of days = inverse of rate of workers x 48⇒ 5/4 x 48 = 5 x 12 = 60 daysDescribe the ratio of corresponding measures in scale drawing and the actual measure they represent
Answer:
More data needed.
Step-by-step explanation:
jijijijiji
Lin's grandmother ordered needles that were 0.3125 inches. The pharmacist sent her 0.6875 inches needles. How longer were these needles than the ones she ordered?
Answer:
0.375
Step-by-step explanation:
0.6875-0.3125 = 0.375
3/4 of ... is 12 I neeed your help please help me
Answer:
The number is 16.
Step-by-step explanation:
So we need to find 3/4 of a number to get 12.
We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.
We translate our problem into an equation. Since x is the variable and we multiply by 3/4, we get the value of 12, which is exactly what we are trying to do.
(3/4)(x) = 12
To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.
(4/3) * (3/4)(x) = (4/3) * 12
4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16
x = 16
The number is 16.
Which of the following tables represent linear relationships?
Answer:
Table 2 and 3
Step-by-step explanation:
A linear relationship should show a straight line, showing that it's linear.
*View the attached graphs*
Hope this helps!
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
Step-by-step explanation:
To get the equation, you must create the factors containing the roots.
So for example the first set of roots can be produced from
(x -2)(x^2 + 9)
which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives
x^3 -2x^2 + 9x - 18
The second one is a bit more difficult to judge.
-5 and -3+ square root(2)
I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)
please answer fast and you get points
Answer:
[tex]\frac{3}{6}=\frac{3*4}{6*4}=\frac{12}{24}[/tex]
Step-by-step explanation:
How may twenty-fourths equal 3/6
Well, we know that 6 * 4 = 24
So, we will be multipying the numerator and denominator with 4/4:
[tex]\frac{3}{6}=\frac{3*4}{6*4}=\frac{12}{24}[/tex]
Therefore, twelve twenty-fourths (12/24) is equivalent to three-sixths (3/6)
Hope this helps!
which statement is true? A. parallel lines to form four right angles B. parallel lines will always be the same distance apart C. parallel lines intersect at no more than one point pls answer :) it would help me alot
Answer: C.
Step-by-step explanation:Parallel lines never touch so they cant be intersecting.
HELP The recursive rule for a sequence is shown An=An-1 +4 a1=14 write the explicit rule in simplified form for the sequence An=
Answer:
aₙ = 4n + 10Step-by-step explanation:
Given is the AP with
The first term of 14The common difference of 4Explicit rule for the sequence is
[tex]a_n=a_1+(n-1)d=14+(n-1)(4)=14+4n-4=4n+10[/tex]Answer:
[tex]\sf a_n=4n+10[/tex]
Step-by-step explanation:
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.
An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.
Given recursive rule:
[tex]\begin{cases} \sf a_n=a_{n-1}+4\\ \sf a_1=14\end{cases}[/tex]
Therefore, the next two values in the sequence are:
[tex]\begin{aligned} \implies \sf a_2 & = \sf a_{2-1}+4\\& = \sf a_1+4\\& = \sf 14+4\\& = \sf 18\end{aligned}[/tex]
[tex]\begin{aligned} \implies \sf a_3 & =\sf a_{3-1}+4\\& = \sf a_2+4\\& = \sf 18+4\\& = \sf 22\end{aligned}[/tex]
Explicit formula
[tex]\sf a_n=a+(n-1)d[/tex]
where:
[tex]\sf a_n[/tex] is the nth terma is the first termn is the number of the termd is the common difference between termsGiven:
[tex]\sf a = a_1=14[/tex][tex]\sf d = 22-18=4[/tex]Substituting the given values into the formula:
[tex]\sf \implies a_n=14+(n-1)4[/tex]
[tex]\sf \implies a_n=14+4n-4[/tex]
[tex]\sf \implies a_n=4n+10[/tex]
Therefore, the explicit rule in simplified form for the sequence is:
[tex]\sf a_n=4n+10[/tex]
Learn more about arithmetic sequences here:
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A politician takes an SRS of 75 citizens in a county to see what proportion of citizens sampled are satisfied with
their standard of living. Suppose that 80% of the 118,000 citizens in the county are satisfied with their
standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are
satisfied with their standard of living?
Answer:
μp^ = 0.8
σp^ = √0.8(1−0.8)/75
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
EG = 6 in.
Step-by-step explanation:
EG is congruent to DF and DF is 6 in. so EG would be 6 in.
Answer:
6 in.
Step-by-step explanation:
DF's length is congruent ( same ) to EG's length which is shown by the one mark on each side
Since DF's length is 6 inches, EG's length is also 6 inches.
Therefore,the answer is 6 in( inches )
Hope this helps!
Please mark as brainliest!!!
Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.
The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.
How to illustrate the dimensions?Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.
In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:
= 2(Length + Width)
= 2(27 + 20)
= 2 × 47
= 94m
In conclusion, 94m will be cleaned.
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If a floor plan has a key for 1 graph paper line = 5 ft in real life, what is the area of a rectangular room in real life if the area on the floor plan is 44?
*HINT: the key is for a dimension, but your answer is an area.*
=======================================================
Explanation:
1 unit along the grid represents 5 feet in real life.
A 1 unit by 1 unit square on the graph paper represents a 5*5 = 25 square foot area in real life.
This means we multiply by 25 when going from the floor plan's area to the real world area.
44*25 = 1100 square meters is the area of the room in real life when the floor plan says the area is 44 sq units.
find in grammes 1/5 of 2 kg + 60 g
Answer:
460
Step-by-step explanation:
1/5 of 2kg is .4 kg
.4kg converted to grams is 400 grams
400g + 60g= 460
THE ANSWER IS 460
there are 36 pupils in a class.the number of boys is twice the number of girls.how many are girls?
Answer:
12 girls
Step-by-step explanation:
Boys to girls ratio= 1:2
Thats means there are (1+2) 3 total parts.
So [tex]\frac{36}{3}[/tex]=12
Each part is 12 so
boys is 12*2= 24 boys
Girls id 12*1= 12 girls
Answer:
12
Step-by-step explanation:
Total number of students in class ⇒ 36
Given that,
The number of boys is twice the number of girls.
First, let us make an expression to find the number of girls.
For that, let the number of girls be x.
Number of girls ⇒ x
Number of boys ⇒ 2x
Total number of pupils ⇒ x + 2x
So,
x + 2x = 36
3x = 36
Divide both sides by 3.
x = 12
Therefore, there are 12 girls and 24 boys in the class.
Work out
(4 x 10-6) - (2 x 10-8)
Give your answer in standard form.
Answer:
20x + 2
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
perimeter: about
ft
Please Expand the following y( y + 2)
Answer:
[tex]y^{2} + 2y[/tex]
Step-by-step explanation:
y times y is [tex]y^{2}[/tex]
2 times y is 2y
Express the difference between 0.35 and 2/5 as a decimal
What is the product? 3 x (-6 -14 -11 -9)
Answer:
-120
Step-by-step explanation:
Following the rules of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction)
First when solve the numbers in the parentheses:
-6-14-11-9= -40
Then we can do the multiplication:
3*-40 = -120
Hope this helps! :)
Answer:
-18 -33
-42 -27
Step-by-step explanation:
To solve application problems using proportions
The ratio of weight on the moon to weight on Earth is 1:6. How much would a 174-pound person weigh on the moon?
Please show work and help please thank you
Step-by-step explanation:
[tex] \frac{1}{6} = \frac{x}{174} [/tex]
x = 174/6
= 29 pound person weight on the moon.
The circumcenter of a triangle can lie on one of the edges if the triangle is:
Select the best choice from the answers provided.
A.
Right
B.
Acute
C.
Obtuse
D.
none of the above choices are correct.
Answer:
B. Acute
Step-by-step explanation:
the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcenter coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
Step-by-step explanation:
rectangle l = 6 units
b = 3 units
area = 18 units ^ 2
parallelogram l = 6 units
b = 1 unit
area = 6 unit ^2
total area = 24 units ^2
Can somebody please help with 7 and 8
Answer:
Point Form:
(−4,−9)
Equation Form:
x=−4, y=−9
Step-by-step explanation:
PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST AND GIVE THANKS PLEASE HELP
Ray is x years old. His brother Ron is y years older than Ray.
What will the difference of their ages be in 5 years?
ray is x years old
Ron is x+y years old
in 5 years ron will be 5 years older than now, so x+y+5 years old
orAnswer:
x - x + y + 5 - 5 = y or x + y - x = y
Step-by-step explanation:
The difference now,
x + y - x = y
The difference in 5 years,
(x + y + 5) - (x + 5) = x - x + y + 5 - 5
x - x + y + 5 - 5 = y
The difference in their ages never changes
α4 + β4 in α+ β and α β terms
Step-by-step explanation:
[tex] { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} [/tex]
[tex] = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )[/tex]
[tex] {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} [/tex]
I hope it helped you
28. Pay attention to the height data (cm) of the following 10 students! 155, 153, 153, 160 157, 155. 160, 155, 150, 155 The data mode is Your :
A. 150
B. 153
C. 155
D. 157
Answer:
c.155
Step-by-step explanation:
because it appears there the most :)
find the slope and y-intercept of the line y=7x-9
Answer:
Slope: 7
Y-Intercept : -9
Step-by-step explanation:
A student is interested in the depth of the water off the
end of the local pier. Starting at midnight, he measures
the depth of the water every three hours for an entire
day and records the results in the table.
The equation of the least-squares regression line is
9 = 13.0 -0.259x, where y is the depth of the water
and x is the number of hours past midnight. Which
shows the residual plot?
For edge
The residual plot regarding the depth of the water is the difference between the observed response and the fitted response values.
What is a residual plot?Your information is incomplete. Therefore, an overview of a residual plot will be given. A residual plot is a graph that shows the residual on the vertical axis while the independent variable is on the horizontal axis.
Here, the equation of the least-squares regression line is 9 = 13.0 -0.259x, where y is the depth of the water and x is the number of hours past midnight.
In this case, the residual plot regarding the depth of the water is the difference between the observed response and the fitted response values.
Learn more about residual plot on:
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Answer: C
Step-by-step explanation: Edge '23 Trust me
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
50, 30 and 20
Step-by-step explanation:
Check out the attached photo