Answers
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
[tex]cos^{-1}Q = 0.604[/tex]
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.
How to calculate the measure of angle Q?Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
Read more on cosine function here: brainly.com/question/4599903
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Related Questions
What is the image of (9,-5) after a dilation with the scale factor of 2.5?
O (23, 12)
O (22.5, -12.5)
O (-22.5, 12.5)
O (18, 12)
Answers
Answer:
(B) (22.5, -12.5)
Step-by-step explanation:
When the point [tex](9,-5)[/tex] is dilated by with a scale factor of 2.5
In a dilation, when its scale factor is less than 1, the pre-image will be lesser than the image.
However, when the scale factor is greater than 1, the pre-image will be greater than the image.
The Image of the dilation of [tex](9,-5)[/tex] with a scale factor of 2.5 is therefore:
[tex](9*2.5,-5*2,5)\\=(22.5, -12.5)[/tex]
The correct option is B.
£580 is divided between Sushil, Fiona & Pip so that Sushil gets twice as much as Fiona, and Fiona gets three times as much as Pip. How much does Fiona get?
Answers
Answer:
Fiona gets £ 174
Step-by-step explanation:
Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:
Amount Sushil gets is : "x"
Amount Fiona gets is : "y"
Amount Pip gets is : "z"
Now we write three equations based on the information we have:
1) the addition of all these amounts should equal the 580 total:
x + y + z = 580
2) Sushil (x) gets twice as much as Fiona (y):
x = 2 y
3) Fiona (y) gets three times as much as Pip (z):
y = 3 z
So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:
Replace every instance of "y" with "3 z":
Equation 2 can give then "x" in terms of "z" as well:
x = 2 y = 2 (3 z) = 6 z
Then Eq 1 becomes:
6 z + 3 z + z = 580
10 z = 580
and therefore:
z = £ 58
Now Fiona's amount (y) is "3 times z", therefore:
y = 3 * 58 = £ 174
i need help one more time !!
Answers
Answer:t=8
Step-by-step explanation:
solve for t by simplifying both sides of the equation,then isolating the variable
Answer:
[tex]t = 8[/tex]
Step-by-step explanation:
→You need to get "t," by itself, and to do this, you must multiply both sides by the reciprocal of [tex]\frac{1}{4}[/tex], which is 4. You are multiplying because you can't divide by a fraction.
[tex]\frac{1}{4} t=2[/tex]
[tex]4*\frac{1}{4} t=2*4[/tex]
[tex]t = 8[/tex]
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Answers
Answer:
The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequencesStep-by-step explanation:
Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.
If the sum of the first two term is 24, then a/r + a = 24...(1)
and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)
Substtituting equation 1 into 2 we have;
24+ar = 26
ar = 2
a = 2/r ...(3)
Substituting a = 2/r into equation 1 will give;
(2/r))/r+2/r = 24
2/r²+2/r = 24
(2+2r)/r² = 24
2+2r = 24r²
1+r = 12r²
12r²-r-1 = 0
12r²-4r+3r -1 = 0
4r(3r-1)+1(3r-1) = 0
(4r+1)(3r-1) = 0
r = -1/4 0r 1/3
Since a= 2/r then a = 2/(-1/4)or a = 2/(1/3)
a = -8 or 6
All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of a geometric sequence is expressed as
if r = -1/4 and a = -8
Tn = -8(-1/4)^(n-1)
if r = 1/3 and a = 6
Tn = 6(1/3)^(n-1)
The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answers
Answer:
so the answer is f, the last one
can anybody help me on this please I will be giving 15 points..
Answers
Answer:
BC=[tex]\sqrt{95}[/tex]
Angle A (or BAC)=54.31466...
Angle C (or ACB)=35.68533...
Step-by-step explanation:
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]
[tex]BC=\sqrt{12^2-7^2}[/tex]
[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]
[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]
Using the pythagorean theorem
[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]
[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]
[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]
Please help with thisssss
Answers
Answer:a
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
Pythagorean theorem.
a^2+b^2=c^2.
2^2+3^2=d^2
Given the function ƒ(x) = 5x^2 − 9x + 18, find ƒ(3). A) ƒ(3) = 31 B) ƒ(3) = 36 C) ƒ(3) = 49 D) ƒ(3) = 85
Answers
Answer:
36
Step-by-step explanation:
ƒ(x) = 5x^2 − 9x + 18,
Let x=3
ƒ(3) = 5*3^2 − 9*3 + 18,
=5*9 - 27+18
45 - 27+18
36
A painter charges 15.40 per hour, plus an additional for the supplies. If he made 188.73 on a job where he worked 7 hours, how much did the supplies cost
Answers
Answer:
80.93
Step-by-step explanation:
15.40×7=107.80
188.73-107.80=80.93
2x-4=2
what is x=
plz help
Answers
2x-4=2
Add 4 to both sides
2x=6
Divide both sides by 2
X=3
Answer:
3
Step-by-step explanation:
2x=2+4
2x=6
x=3
#RAVEN
Simplify this problem
Answers
Answer:
[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]
Step-by-step explanation:
[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $ j $jdollar sign, j fare among the 3 33 of them. Angela also paid a $ 5 $5dollar sign, 5 tip.
Answers
Answer: $J/3 + $5
Step-by-step explanation:
Here is the complete question:
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did Angela pay in total?
Write your answer as an expression.
Answer:
From the question, we are told that Angela shared a cab with her friends and when they arrived at their destination, they shared equally the $j fare among the 3 of them while Angela also paid a $5 tip.
The total number of friends are =3
The amount of fare = $ J
The fare is equally divided among the friends, therefore each friend will pay: $J/3
Angela paid $5 additional as a tip, therefore, her share will be: J/3 + 5
Therefore, Angela will pay $J/3 + $5
If a number is increased by 12 and then divided by 4, the result is 5. The algebraic equation is ?. The number is x= ?
Answers
Answer:
I don't have an answer but I have a helpful example.
If a number is increased by 8, the result is 25 Find the number.
Step-by-step explanation:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Is -√9 a rational, irrational, whole, or interger
Answers
Answer:
irrational
Step-by-step explanation:
Answer:
It is an irrational number.
Step-by-step explanation:
Whole numbers are numbers that include all natural numbers, (1 - infinity), and 0. Integers are numbers that can be written without fractional components. Rational numbers are numbers that can be written in the form P/Q, where p and q are integers. There only leaves irrational numbers.
Does the graph change between point A and point B
Answers
Samuel is x year old and
two years older than
his wife. What will be
the sum
Sum of their age
ton
years time
Answers
Answer:
Samuel : x
wife : y
sum of their age : 2+ x : 10
4.
If a pair of shoes is going to be discounted 15%, what decimal can be used as the multiplier to find
the new cost of the shoes?
Answers
The decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
If a pair of shoes is going to be discounted by 15%
Let's suppose the original cost is 100%
It has a discount of 15%
So the new cost of the shoes = 100 - 15 = 85%
To convert it to decimal divide it by 100
= 85/100
= 0.85
Thus, the decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,
Learn more about the percentage here:
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Sierra is driving to visit her family. She wants to drive at least 500 miles today. She has already driven 248 miles and will keep driving at a constant speed of 62 miles per hour. What number of hours can Sierra drive to meet her goal of at least 500 miles? 500 ≤ 248 + 62x Both need different answers please
Answers
Answer:
4.06451 hours
note this answer is not rounded as you did not indicate round to what decimal values.
Step-by-step explanation:
Solving using equation
500 ≤ 248 + 62x
500-248 ≤ 62x
252 ≤ 62x
252/62 ≤ x
4.06451 ≤ x
Another way to solve
500-248= 252
she needs to travel 252 miles
speed = 62mph
note: speed = distance/time
therefore time= distance/speed
time = 252/62 = 4.06451
Number of hours Sierra needs to travel to meet her goal is 4.065 hours.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Sierra wants to drive at least 500 miles today.
She has already driven 248 miles.
Remaining distance is driving at a constant speed of 62 miles per hour.
Let the time needed for the remaining distance to complete is x.
Speed = Distance / Time
Distance = Speed × Time
Distance = 62x
Total distance covered = 248 + 62x
This must be at least 500.
248 + 62x ≥ 500
62x ≥ 500 - 248
62x ≥ 252
x ≥ 252 / 62
x ≥ 4.065
Hence Sierra has to drive at least 4.065 hours to meet her goal.
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please but this equation in function form, 15+3y=-24x and what is funciton form?
Answers
Answer:
y = -8x - 5 ; function form is y = mx+b
Step-by-step explanation:
15 + 3y = -24x
3y + -24x - 15
y = -8x - 5
what is the measure of B
Answers
Answer:
m<B = 44
Step-by-step explanation:
Since AB is a diameter, then angle C is a right angle.
That makes angles A and B complementary angles.
m<A + m<B = 90
46 + m<B = 90
m<B = 44
Answer:
B = 44
Step-by-step explanation:
The sum of the angles of a triangle is 180
A + B+ C = 180
<C = 90 since it is 1/2 of the intercepted arc which is 180
46+ B + 90 = 180
136 + B = 180
B = 180-136
B =44
which equations are true identities
Answers
Answer:
C
Step-by-step explanation:
Both A and B are true identities.
See attachment.
Can anybody help me.
Answers
Answer:
1st one
Step-by-step explanation:
Of the 100 students in the science club, 65 take mathematics, 43 take physics and 10 students take both mathematics and physics. How many science club students take neither mathematics nor physics? URGENT!
Answers
Answer:
2
Step-by-step explanation:
Add the students that take math and physics and subtract the ones that take both so that they are not double counted
65+43-10 =98
There are 100 students
100-98 =2
There are 2 that take neither math nor physics
Expand the expression: 3ln2x+lnx-ln17
Answers
Answer:
woops i dont know the answer
my bad this is payback
Step-by-step explanation:
Answer:
hey dude!
your answer is
33x-17
Step-by-step explanation:
you need to do 32x+x-17
hope this helps
pls put brainliest
Given f(x) = -2x³ + x² - 2 find f(1)
Answers
Answer:
-3
Step-by-step explanation:
[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]
Hope this helps!
I need help on this math problem ASAP.
Answers
Answer:
This shape is a rectangle so that means that the angles are 90°. From sum of angles of a triangle, x + 3x + 10 + 90 = 180 which means 4x + 100 = 180 → 4x = 80 → x = 20°.
How many 3’s are in 1/8?
Answers
Answer:
There are none
Step-by-step explanation:
Because 1/8 = 0.125
Just divide 1 over 8
The number of 3's in the given fraction number 1/8 is, Zero
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number, 1/8
The number of 3's = ?
⇒ 1/8 = 0.125
There is no number 3 present in the result of this division
Hence, the number of 3's is Zero
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Help please I WILL MARK BRAINLIEST
Answers
Answer:
SAS
Step-by-step explanation:
DB and BD are equal
The angles near D are equal
AD and DC are equal
Side Angle Side
In Chemistry, Seth recorded the weight of copper tubing as 15.4 grams. The actual weight was 15.8 grams. What is his percent of error, rounded to the nearest percent?
Answers
Answer: -2.6%
Step-by-step explanation:
Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.
Estimated.number = 15.4 grams.
Actual number = 15.8 grams
Percentage error = (Estimated number - Actual number)/Actual number × 100
= (15.4 - 15.8)/15.8 × 100
= -0.4/15.8 × 100
= 0.0253 × 100
= 2.53
= -2.6% approximately
pls help me for brainliest answer answer needs to be correct
Answers
Answer:
a) 17, 29, 41, 53, 65....
b) 12n + 5
