Answers
Answer:
Step-by-step explanation:
The sum of the three angles in a triangle is [tex]\ang{180}[/tex].
We know that a right angle is [tex]\ang{90}[/tex], and we are given another angle that is [tex]\ang{50}[/tex], so that means that angle [tex]B[/tex] is:
[tex]B + 50 + 90 = 180[/tex]
[tex]B + 140 = 180[/tex]
[tex]B = 40[/tex]
To find side length [tex]a[/tex], we can use the [tex]sin[/tex] function:
[tex]sin(\ang{50}) = \frac{a}{20}[/tex]
[tex]20 * 0.766 = a[/tex]
[tex]a = 15.32[/tex]
To find side length [tex]b[/tex], we can again use the [tex]sin[/tex] function:
[tex]sin(\ang{40}) = \frac{b}{20}[/tex]
[tex]20 * 0.643= b[/tex]
[tex]b = 12.86[/tex]
Related Questions
Or these questions, non-integer answers should be entered as a decimal rounded to the hundredths place. Samantha won a trip to Europe in a contest she had entered. Rather than take the trip, she opted to take the cash value of the prize and put it in a savings account she uses as a college fund. She plans to keep this money in the college fund and let it earn interest for 8 years. At the end of 8 years, she'll use the total balance to help pay for tuition at law school. The equation below represents the total dollars, f(x), in her college fund after x years.
Answers
Answer:
Domain : [tex]0 \le x \le 8[/tex]
Range : [tex]5450 \le f(x) \le 6588.65[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5450(1.024)^x[/tex]
Required
Domain: [tex][\ ] \le x\ [\ ][/tex]
Range: [tex][\ ] \le f(x)\ [\ ][/tex]
See attachment for complete question
Calculating the domain:
At the instance when she keeps the money in the college fund;
[tex]x = 0[/tex] ---- 0 years
She plans to wait till the 8th year.
[tex]x = 8[/tex]
Hence, the domain is:
[tex]0 \le x \le 8[/tex]
Calculating the range:
We have:
[tex]f(x) = 5450(1.024)^x[/tex]
When: [tex]x = 0[/tex]
[tex]f(0) = 5450 * 1.024^0[/tex]
[tex]f(0) = 5450 * 1[/tex]
[tex]f(0) = 5450[/tex]
When [tex]x = 8[/tex]
[tex]f(8)=5450 * 1.024^8[/tex]
[tex]f(8)=6588.65[/tex]
Hence, the range is: [tex]5450 \le f(x) \le 6588.65[/tex]
Answer:
domain- [tex]0\leq x \leq 8\\\\[/tex]
range- [tex]5450\leq f(x)\leq 6588.65[/tex]
Step-by-step explanation:
Got it right on edmentum
what is the slope of a line perpendicular to the line whose equation is y=2/3x+7 fully simplify your answer
Answers
Answer:
Not linear
Step-by-step explanation:
This equation does not have a set slope.
What is the value of the digit 7 in 273480000
Answers
Answer:
7000.0000
Step-by-step explanation:
Answer:
The value of the digit 7 in 273,480,000 is 70,000,000
Step-by-step explanation:
This number (in worded form) is Two Hundred and Seventy Three Million, Four Hundred and Eighty Thousand, and you can very clearly see that it's 70,000,000.
if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?
Answers
Answer:
8 bags
Step-by-step explanation:
If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.
i need the solving and the answer please
thank you
Answers
Answer:
Step-by-step explanation:
11x - 2° = 75° ( being corresponding angles )
11x = 75° + 2°
11x = 77°
x = 77°/ 11
x = 7°
hope it helps :)
7/3 + x=3;x math I really need help
Answers
Given:
The equation is:
[tex]\dfrac{7}{3}+x=3[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{7}{3}+x=3[/tex]
Subtract both sides by [tex]\dfrac{7}{3}[/tex].
[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]
[tex]x=\dfrac{9-7}{3}[/tex]
[tex]x=\dfrac{2}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.
Find the missing side
Answers
Answer:
B
Step-by-step explanation:
cos(35)=x/15
15cos(35)=x
x=12.3
lines m and p are cut by the transversal n. determine the value of x. write the measures of the six angles. show all work
Answers
Answer:
x = 36°
m<1 = 36°
m<2 = 144°
m<3 = 36°
m<4 = 144°
m<5 = 144°
m<6 = 36°
Step-by-step explanation:
✔️x° + 4x° = 180° (linear angle pair theorem)
5x = 180
x = 180/5
x = 36°
For easy identification, the six angles to be found have been labelled <1 to <6 as shown in the attachment below.
✔️m<1 = x° (vertical angles pair)
m<1 = 36° (substitution)
✔️m<2 = 4x° (vertical angles pair)
Plug in the value of x
m<2 = 4(36)
m<2 = 144°
✔️m<3 = x° (alternate interior angles theorem)
m<3 = 36° (substitution)
✔️m<4 = 4x° (corresponding angles theorem)
m<4 = 4(36) (substitution)
m<4 = 144°
✔️m<5 = 4x° (alternate exterior angles theorem)
m<5 = 4(36)
m<5 = 144°
✔️m<6 = x° (corresponding angles theorem)
m<6 = 36°
Someone help me ASAP!!
Answers
Answer:
80
Step-by-step explanation:
The total angles in a triangle will have to add up to 180 degrees. Since these two have the same angles, we know that a=e and b=d. We know angle a is 30 and angle c is 70 which equals 100. 180-100 is 80, therefore angle d= 80 degrees.
Pls help me and thank youuu
Answers
Answer: 0.6 or 60 cents.
Step-by-step explanation:
Answer:
I believe it is $1.7.
Step-by-step explanation:
I rounded it from 1.666666667. Something like that.
pls help will give brainliest
Answers
3.06 i believe is the answer! im not sure but i've calculated
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.
Answers
Answer:a
Step-by-step explanation:
Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Step-by-step explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm
[tex]\sf\:Q.\:Show \: that \: there \: is \: no \: positive\:integer[/tex]
[tex]\sf\:n \: for \: which \:\sqrt{n - 1} \: + \:\sqrt{n + 1}\:is[/tex]
[tex]\sf\: rational.[/tex]
Answers
9514 1404 393
Explanation:
We will prove by contradiction. We assume that the given sum is rational, and the ratio can be expressed in reduced form by p/q, where p and q have no common factors.
[tex]\sqrt{n-1}+\sqrt{n+1}=\dfrac{p}{q}\qquad\text{given}\\\\(n-1)+2\sqrt{(n-1)(n+1)}+(n+1)=\dfrac{p^2}{q^2}\quad\text{square both sides}\\\\2(n+\sqrt{n^2-1})=\dfrac{p^2}{q^2}\qquad\text{simplify}[/tex]
We note that this last equation can have no integer solutions (n, p, q) for a couple of reasons:
for any integer n > 1, the root √(n²-1) is irrational (n² is a perfect square; n²-1 cannot be.)p²/q² cannot have a factor of 2, as √2 is irrationalThere can be no integer n for which the given expression is rational.
the edge of a tile is trimmed to make it fit along the edge of the shower. the diagram shows the angles that was cut. what is the value of x?
Answers
Answer:
x° = 77.7°
Step-by-step explanation:
We know that the interior angles within a quadrilateral add up to 360 degrees. We are provided with two right angles and a third angle of 102.3°. So we must solve to find x.
90 + 90 = 180
102.3 + 180 = 282.3
360 - 282.3 = 77.7
x = 77.7 degrees
The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.
Answers
Answer:
Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
The radius of a circle is 17 in. Find its area in terms of π.
Answers
A≈907.92in²
Because:
A=πr2=π·172≈907.92028in²
Answer:
289π or 907.46 in
Step-by-step explanation:
The formula for area of a circle is π r².
The radius is 17, so the first step is 17².
17²= 289
Next, you multiply 289 by pi (3.14).
3.14 x 289 = 907.46.
Therefore, the area in terms of pi is 289π or 907.46 in.
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
Answers
Given:
The expression is:
[tex]3x^5-7x^4+6x^2-14x[/tex]
To find:
The complete factor form of the given expression.
Solution:
We have,
[tex]3x^5-7x^4+6x^2-14x[/tex]
Tanking out the GCF, we get
[tex]=x(3x^4-7x^3+6x-14)[/tex]
[tex]=x(x^3(3x-7)+2(3x-7))[/tex]
[tex]=x(x^3+2)(3x-7)[/tex]
Therefore, the complete factor form of the given expression is [tex]x(x^3+2)(3x-7)[/tex].
Please help I need an answer soon
Answers
Answer:
I think D
Step-by-step explanation:
I think mean is center, or the center of the data. Range is the spread of data, or how far it is spread.
Please look at picture and ignore selected answers
Answers
Answer:
Step-by-step explanation:
Everything is right except the second one. It is acute as all the angles are under 90 degrees.
A)obtuse
B)acute
C)right
D) right
PLZ HELP I GIVE FIRST PERSON BRAINLIEST!!!!!
DO AS MANY AS YOU WANT
Answers
Answer:
Trapezoid area:
A = 1/2(a + b)h, where a, b - bases , h - height17. a)a = RS = 4 unitsb = AT = 8 unitsh = 8 units, the distance between RS and ATA = 1/2(4 + 8)*8 = 48 units²
17. b)a = SK = 4 unitsb = OC = 10 unitsh = SO = 6 unitsA = 1/2(4 + 10)*6 = 42 units²
18. a)a = ME = 6 unitsb = AZ = 10 unitsh = MA = 8 unitsA = 1/2(6 + 10)*8 = 64 units²
Area of trapezoid:
Line RS: 2x2 = 4 units (first base)
Line TA: 4x2 = 8 units (second base)
The height (aka that x-axis inside shape): 4x2 = 8 units (h)
Area formula: (4 + 8)8 ÷ 2
= (4 + 8)8 ÷ 2
= 12(8) ÷ 2
= 96 ÷ 2
ANSWER = 48 sq. units
____________________________________________________________
Area of trapezoid:
Line SK: 2x2 = 4 units (first base)
Line OC: 5x2 = 10 units (second base)
Line SO (height): 3x2 = 6 units (h)
Area formula: (b1 + b2)h ÷ 2
= (4 + 10)6 ÷ 2
= 14(6) ÷ 2
= 84 ÷ 2
ANSWER = 42 sq. units
____________________________________________________________
Area of trapezoid:
Line ME: 6 units (first base)
Line AZ: 10 units (second base)
Line MA (height): 8 units (h)
Area formula: (b1 + b2)h ÷ 2
= (6 + 10)8 ÷ 2
= (16)8 ÷ 2
= 128 ÷ 2
= 64
ANSWER = 64 sq. units
Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation △STU→△S'T'U'?
Answers
Answer:
The correct option is;
The fourth option
Please the attached drawing created with MS Visio
Step-by-step explanation:
From the given figure, we have;
The orientation of ΔSTU is equal to the orientation of ΔS'T'U'
When the plane of reflection is assumed to be the y-axis, we have;
For a reflection about the y-axis, we have;
The coordinate of the preimage = (x, y)
The coordinate of the image after the reflection = (-x, y)
When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;
The coordinate of the preimage = (-x, y)
The coordinate of the image after the reflection = (x, y)
Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage
Given that a y-axis is parallel to another y-axis, we have;
A reflection twice across two parallel axis would result in an image having the same orientation as the preimage
The correct option is the 4th option
Please see attached drawing created with MS Visio
Answer:
the fourth one
Step-by-step explanation:
The pre-image and image of the translation are given.
To find the lines of reflection, locate a midpoint M of the translation vector between any two corresponding points on the pre-image and image.
The figure shows two congruent triangles S T U and S prime T prime U prime.
Then find the midpoints of SM and MS'.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. Point K is a midpoint of segment M S. Point N is a midpoint of segment M S prime.
The lines of reflection are perpendicular to the vector and intersect with the vector at the second set of midpoints by the Theorem of composition of two reflections across two parallel lines.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. There are two lines. The first line passes through point K. The second line passes through point N. These lines are perpendicular to segment S, S prime.
Therefore, the correct graph is the fourth one.
Which of the following is equal to the rational expression when x = 5 or -3? x^2+x-6/x^2-2x-15
A. X-6/x-5
B. X+3/c-5
C. X-2/X+3
D. X-2/x-5
Answers
Answer:
C. X-2/X+3
Step-by-step explanation:
(4/x) + (4/y) / (16/x2y2) is where we start. I will factor out
1/(16/x2y2).
(1/(16/x2y2)) (64xy2 + 4/y) = (x2y2/16)(64xy2 + 4/y)
I need to factor out a 4/y from there.
(x2y/4)(16xy + 1) = x2y (16xy + 1) / 4
simplify fully
35x3yz2/21x2y3z
Answers
Answer:
[tex]\frac{5xz}{3y^{2} }[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
i is a good game and a good idea but it needs more people who are not the only ones that they were playing in a few weeks ago i dont have a game on joke
A box contains 5 red pens 10 white pens and 20 green pens if one pen is taken out of
the box at random. What is the probability that the pen taken out will be
i) White pen ii) not a red pen
Answers
Answer:
Step-by-step explanation:
Firstly, find the total amount of pens
5 + 10 + 20 = 35, Total of 35 pens
White pens: 10/35
Not a red pen: 20 + 10= 30, 30/35
Calculate these to a percentage:
White- 10/35: 28.57%
Not a red pen- 30/35: 85.71%
Not a red pen: 30/35 = 85%
What is the least common denominator for the fractions below? 2/6 * 1/5
Answers
Answer:
1/15
Step-by-step explanation:
2/6 x 1/5 = 2/30
2/30 = 1/15
Answer:
30
Step-by-step explanation:
Find the median of theses sets of numbers 2, 5, 8, 0, 5
Answers
Answer:
8
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
0,2,5,5,8
5/2=2.5
Since you have an odd number of scores, the median would be 9. You have five numbers, so you divide 5 by 2 to get 2.5, and round up to 3. The number in the third position is the median.
A certain flight requires 3/8 of an hour if the plane has been flying for 1/4 of an hour what fraction of an hour remains before landing
Answers
3/8-2/8=1/8
1/8 of a hour remains on the flight. ✈️
Solve the following system of equations using the substitution method.
x=2y
2x+5y=9
x=
y=
Answers
Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
----------------------------------------------------------------------------
2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
-----------------------------------------------------------------------
plug in y value to x=2y
so x=2(1)
x=2
In a survey 7 out of 8 dentists recommend a ProTooth toothbrush. Based on this information, which can the toothbrush company predict about its recommendations?
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 40 dentists, 33 of them will recommend a ProTooth toothbrush
Answers
Answer:
64 dentists, 56 of them will recommend
Step-by-step explanation:
I just continued to add 8 more dentists with there recommended outcome until it showed a matching prediction.
Answer:
C. In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
Step-by-step explanation:
i did this
The volume in a single layer is 18 cubic centermeters. There are 5 layers in the rectangular prism. What is the volume in cubic centimeters of this rectangular prism
Answers
Answer:
the volume of the rectangular prism is 90 cm^2
Step-by-step explanation:
The computation of the volume of the rectangular prism is shown below:
Given that
The volume in a single layer is 18 cubic centimeters
And, there are 5 layers in the rectangular prism
So based on the above information
The volume of the rectangular prism is
= 5 ×18 cubic centimeters
= 90 cm^2
Hence, the volume of the rectangular prism is 90 cm^2