Answers
Answer:
Let's walk through the steps together!
Step-by-step explanation:
1
a) we know that the Pythagorean theorem is a^2+b^2=c^2
a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).
We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)
16^2=236
12^2=144
so the formula now says that 236+144=x^2
236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.
so x=20
b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).
a^2+b^2=c^2 -> 100+b^2=289
This means that b=[tex]\sqrt{289-100}[/tex]
so b=[tex]\sqrt{189}[/tex]
so b=[tex]3\sqrt{21}[/tex]
2
These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d
a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18
d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16
3
I can't see the full problem so unfortunately, I cannot help you
I hope this helped in your understanding!
-Suvi
Related Questions
.. Solve using substitution.
2x - 5y = 12
x = -9
Answers
Answer:
2x–5y = 12
2(–9)–5y = 12
–18–5y=12
–5y=12+18
–5y=30
y= –30/5
y= – 6
(x,y) —> (–9,–6)
An electronics company sells computer monitors
and releases a new model every year. With each
new model, the company increases the screen
size by a constant amount. In 2005, the screen
size was 15.5 inches. In 2011, the screen size was
18.5 inches. Which of the following best
describes how the screen size changed between
2005 and 2011?
A) The company increases the screen size by
0.5 inch every year.
B) The company increases the screen size by 1
inches every year.
C) The company increases the screen size by 2
inches every year.
D) The company increases the screen size by 3
inches every year.
Answers
The statement that best describes how the screen size changed between 2005 and 2011 is: A) The company increases the screen size by 0.5 inch every year.
Screen size changed between 2005 and 2011Given:
2005= 15.5 inches
2011=18.5 inches
Hence:
2005-2011= 6 years
18.5 inches-15.5 inches=3 inches
Size of screen:
Size of screen=3/6
Size of screen=0.5 increase every year
Therefore the correct option is A.
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2×+7=17 find the value of x
Answers
Answer:
x = 5
Step-by-step explanation:
Given
2x + 7 = 17 ( subtract 7 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Solve the system of equations.
Answers
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 3y = 5
3y = -x + 5
y = -1/3x + 5/3
-x + 6y = 4
-x + 6(-1/3x + 5/3) = 4
-x - 2x + 10 = 4
-3x = -6
x = 2
x + 3y = 5
2 + 3y = 5
3y = 3
y = 1
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
SOLVE 23 ASAP PLEASE!!
Answers
A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )
_________________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]
Slope = [ 3 ] ÷ [ 4 + 3 ]
Slope = 3 ÷ 7
Slope = 3/7
_________________________________
y - y(A) = Slope × ( x - x(A) )
y - 2 = 3/7 × ( x - ( - 3 ) )
y - 2 = 3/7 ( x + 3 )
y - 2 = 3/7 x + 9/7
y = 3/7 x + 9/7 + 2
y = 3/7 x + 9/7 + 14/7
y = 3/7 x + 23/7
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY
Answers
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet
In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
Α. 88
Β. 82
C. 98
D. 90
Answers
Answer:
82°
Step-by-step explanation:
That is the correct answer to put it simply
The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circle be represented as P
Now , the quadrilateral inscribed inside the circle be ABCD
where the measure of m∠A = 98°
The measure of m∠B = 90°
Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary
So , measure of ∠A + measure of ∠C = 180°
On simplifying , we get
98° + x° = 180°
Subtracting 98° on both sides , we get
x = 180° - 98°
x = 82°
Therefore , the measure of x is 82°
Hence , the value of x of the quadrilateral inside circle is 82°
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I need help with this
Answers
Answer: 25%.
Step-by-step explanation:
There are 12 marbles in total, with 3 being red. 3 in 12 = 1/4 = 25%.
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
Answers
Answer:
$10.85
Step-by-step explanation:
31 * .65 = 20.15
31 - 20.15 = 10.85
find the value of x
answers
118
62
82
28
Answers
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?
Answers
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.
please show your work
Answers
Answer:
B) 40
Step-by-step explanation:
Angle X and the missing angle inside the triangle are equal as the are opposite angles.
Therefore,
180 - 65 - 75 = 40
Classify the triangle by its side lengths.
Answers
Answer:
isosceles triangle
Step-by-step explanation:
isosceles triangles have two equal sides
Expand.
Your answer should be a polynomial in standard form
−5q 2 (−q−5)
Answers
Answer:
(i think)
5q3+25q2
Step-by-step explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.a
x2+bx+c
5⋅1(q2q)+25q2
Simplify each term
answer- 5q3+25q2
find the value of x for the question.
Answers
Answer:
5
Step-by-step explanation:
Both angles together will equal as they are opposite of each other
therefore
15x=16x-5
15x+5=16x
5=x
Answer:
x = 5
Step-by-step explanation:
The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:
15x = 16x - 5
Now that we have an equation, we can solve for x.
First, we subtract 15x from both sides. Now we're left with an equation that should look like this:
0 = x - 5
Now we add 5 to both sides to get our solution. It should look like this.
5 = x
And there's your answer! Hope this helps.
4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answers
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
simplify (2 3/5-1 2/3)×5/8
Answers
Answer & Step-by-step explanation:
Simplify the expression.
Exact Form:
7/12
Decimal Form:
0.583
Hope this Helps!!! :)
If you have any questions contact me in the comment section below!
If using the method of completing the square to solve the quadratic equation x^2+5x+10=0x 2 +5x+10=0, which number would have to be added to "complete the square"?
Answers
Answer:
(5/2)² must be added to the equation to complete the square.
Step-by-step explanation:
The given equation is
x^2+5x+10=0
writing it in in square form
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
We multiply (5/2) to the mid term because we have to make 2x equal to 5x.
As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.
Making 2x equal to 5x gives (5/2) as the second element.
Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.
Now we can solve it.
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
(x + 5/2)²-(5/2)² + 10= 0
(x + 5/2)²- 25/4+ 10= 0
(x + 5/2)²- 25*5 +10*5/4*5= 0
(x + 5/2)²- 125+50/20= 0
(x + 5/2)²- 175/20= 0
(x + 5/2)²= 175/20
I need help with these
Answers
Aiden uses 1/6 cup of blue paint for every 1/2 cup of red paint to make purple paint what is the number of cups of blue paint aiden uses for 1 cup of red paint
Answers
Answer:
your answer is 2/6 or 1/3 a cup.
Step-by-step explanation:
Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income
Answers
Answer:
3750$
Step-by-step explanation:
Let x be the amount in dollars of sales:
125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)
0.02x = 75
x = 3750
Help is all I need..
Answers
Answer:
[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]
x = +4 +1
x = +5
and
x = -4 + 1
x = -3
i will give brainliest if you solve #11 please and thank you!!!
Answers
Answer:
[tex]A)~ 39.6[/tex] %----------------
[tex]Total~ number~ of~ students:-[/tex]
[tex]42+58+20+84+41+5[/tex]
[tex]=250[/tex]
[tex]soccer=58+41[/tex]
[tex]=99[/tex]
[tex]99/250*100[/tex]
[tex]=0.39*100[/tex]
[tex]=39[/tex]
------------------------
hope it helps...
have a great day!!
Which number, best describes
withdrawing $100 from a
checking account?
A:
100
B.
- 100
C. +100
D.
| 100 |
Answers
Answer:
B
Step-by-step explanation:
It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.
Answer:
B) -100
Step-by-step explanation:
Withdrawing means taking out, and subtracting is taking out a number, so the answer is B.
A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?
_________ out of 8 or ________%
Answers
Answer:
6/8
Step-by-step explanation:
or to simplify it, it would be 3/4
The probability that the spinner will land on green is 6 out of 8 or 75%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Number of equal sections on the spinner = 8
Number of sections which are green = 6
Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.
Here,
Desired outcome is the spinner landing on green.
Probability = 6/8 = 0.75 = 75%
Hence the probability is 6 out of 8 or 75%.
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what difference is there please tell me in a mathematical way
Answers
The left in is a function because there is a matching number/value and the right their is no similar function/number/value
Can you please help solve and find value of x!
Answers
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
u don’t have to explain
Answers
Answer:
6
Step-by-step explanation:
RQ=x
x/9=4/6
x=(9*4)/6
x=6
A survey of 125 freshmen business students at a local university produced the results listed below. How many students took history and math, but not music? 30 took history; 32 took math; 33 took music; 14 took history but not math; 9 took math and music; 13 took history and music; 2 took all three
Answers
Answer:
Total Number of students taking Math and History and not music are 68.
Number of students who took both math and history at the same time is 6.
Step-by-step explanation:
History = 30
Math = 32
Music= 33
Math and Music= 9
History and Music= 13
History and Music and Math = 2
History but not math = 14
We have to find students taking history and math but not music.
Total number of students = 125
From the figure number of students taking Math and History and not music are
=30+6+32= 68
Number of students who took both math and history at the same time is 6.