Answers
Answer:
BC = 1.2, Option B
Step-by-step explanation:
1). Apply Law of Cosine: [tex]c^2=a^2+b^2-2ab\cdot cos(\gamma)[/tex]
[tex]BC^2=AB^2+AC^2-2\cdot AB\cdot AC\cdot cos(\angle\ BAC)[/tex]
[tex]AB=2\\AC=1\\\angle BAC=25[/tex]
2). [tex]BC^2=2^2+1^2-2\cdot 1\cdot cos(25)[/tex]
[tex]BC=1.17[/tex]
Related Questions
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answers
To simplify, we multiply each single one in the first bracket with both in the second bracket :
[tex](3x+1)(3x-5) = 9x^{2} -15x + 3x - 5[/tex]
Adalia ate lunch and wanted to leave her waitress a 15% tip. Hermeal cost $8.95. How much money should adalia leave for the dip?
Answers
Answer:
$1.34
Step-by-step explanation:
15% × 8.95 =
(15 ÷ 100) × 8.95 =
(15 × 8.95) ÷ 100 =
134.25 ÷ 100 =
1.3425 ≈
1.34;
Answer:
1.34$
Step-by-step explanation:
Multiply 8.95 by 0.15 to get 15% tip.
Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)
Answers
Answer:
1 solution
(3, 4)
Step-by-step explanation:
The pair of equations for lines A and B have 1 solution because there is one point of intersection.
The point of intersection is (3, 4), therefore this is the solution.
Answer:
3,4
Step-by-step explanation:
How to understand the Triangle-sum Theorem?
Answers
Answer:
Its Simple All the angles in a triangle adds up to 180°
Step-by-step explanation:
∠A + ∠ B + ∠C = 180° NO matter what. You can also use this in inverse If you have two out of three angles then you can add the two angles you have and subtract the from 180 to get the measurement of the 3rd angle.
Hope this helps
A rectangle has a width of 6 units and a length of 2x+8 units. If the area is 108 units squared, what is the value of X?
Answers
Answer:
x = 5 units
Step-by-step explanation:
Hello!
We know that the area of a rectangle is the length multiplied by the width.
We can simply create an expression to solve for x.
Solve:
Area = length x width108 = 6(2x + 8)108 = 12x + 4860 = 12xx = 5The value of x is 5 units.
What is the image of the point (-1,7)(−1,7) after a rotation of 90^{\circ}90∘counterclockwise about the origin?
Answers
Answer:
(- 7, - 1 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , thus
(- 1, 7 ) → (- 7, - 1 )
Solve by row equivalent method. 6x-4y=0.
x+y-5=0
Answers
Answer:
x=2 , y=3
Step-by-step explanation:
The semester fee for an accounting course has been
increased from $3600 to $ 4500. Find the percentage
increase in the fee per semester.
Answers
Answer:
I believe it is a 25% increase
Answer:
11.1111% increase fee for an accounting course,
5.55555% per each semester.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Amrit's income is 32% more than Bethan's income. Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Can you show your working?
Answers
b = Bethan's Income
hmmm how much is 32% of "b" anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]
select the correct equation rule
Answers
Replace x in the equation and see which one equals the y values:
The answer is f(x) = 2x - 1
Last year, there were k ples baked for the bake sale. This year, there were 214 ples baked. Using k, write an expression for the total number of ples baked in the
two years.
Answers
Answer:
total number of ples baked in the two years= 214+k
you are supposed to be able to do it your own, i think the maths teacher think in this way.
Look at all three circles below. All circles have the same pattern. What number should replace the question mark?
Answers
please mark brainliest??
simplify: 1 2/3 - 1/4
Answers
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3}-\frac{1}{4}[/tex]
[tex]\mathrm{Subtract\;Whole\;Number}[/tex]
[tex]1-0=1[/tex]
[tex]\mathrm{Combine\;fraction}[/tex]
[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]
[tex]=1+\frac{5}{12}[/tex]
[tex]=1\frac{5}{12}[/tex]
Hence, the answer is 1 5/12
~Lenvy~
1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate
⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]
2. Now lets the change the base of both fractions into a common denominator and solve
⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]
Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]
Hope that helps!
(show ur work btw) Multiply 400 and 45.2 together.
Round to the nearest hundredth when necessary.
Answer:
Answers
Answer
18,080
Explantion
400x10=4000x4=16000
400x5=2000
2000+16000=18000
400×.2=80
cause 20% of 400 is 80
so total is 18,080
50 POINTS FOR CORRECT AWNSER
Answers
Answer:
[tex]\sf y \leq \dfrac34x[/tex]
Step-by-step explanation:
Choose 2 points on the line: (0, 0) and (4, 3)
Let [tex]\sf (x_1,y_1)=(0,0)[/tex]Let [tex]\sf (x_2,y_2)=(4,3)[/tex][tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-0}{4-0}=\dfrac34[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=\dfrac34(x-0)[/tex]
[tex]\implies \sf y=\dfrac34x[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is solid, and the shading is below the line,
[tex]\implies \sf y \leq \dfrac34x[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{6+3}{8+4}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y+3=3/4(x+4)[/tex]
[tex]\\ \tt\Rrightarrow y+3=3/4x+3[/tex]
[tex]\\ \tt\Rrightarrow y=3/4x[/tex]
equation of shaded region
[tex]\\ \tt\Rrightarrow y\leqslant 3/4x[/tex]
It is estimated that there are 1.2 x 10^57 atoms in the Sun. The number of atoms in the rest of the Solar System is
approximately 1.2 x 10^56 About how many more atoms exist in the Sun than in the rest of the Solar system. ( complete answer in scientific notation
Answers
Answer:
56*56
Step-by-step explanation:
The 56*56 is divided by the same option in the 57
SOMEONE PLS HELPPPPP
Answers
Answer:
answer will be 3rd graph----------------------------------------------
What is the equation of the line that contains the points (-5, 0) and (0, 6)?
Answers
Answer:
y=6/5x+6
Step-by-step explanation:
The recursive rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(1)=33, f(n)=f(n-1)+1;38
The term 38 is the BLANK th term
Answers
Answer:
6th term
Step-by-step explanation
Solve the inequality.
-4 (7 + 6x)< -2(x+3)
write in inequality integer form
Answers
Answer:
-1 >x
Step-by-step explanation:
-4(7+6x)<-2(x-6)
-28-24x<2(x-6)
-28-24x<-2x-6
+6. +6
-22-24x<-2x
+24x +24x
-22 < 22x.
-22÷-22=1 that canceled out
+22÷-22= -1
-1>x. because we divided by a negative the inequality switched.
Hope this helped
How do you solve? Show your work.
-14 - 6x = x + 7
Answers
Answer:
−
6
−
1
4
=
+
7
-6x-14=x+7
−6x−14=x+7
−
6
−
1
4
+
1
4
=
+
7
+
1
4
Add the numbers
Add the numbers
again
−
6
=
+
2
1
Subtract
x
x
from both sides of the equation
−
6
=
+
2
1
-6x=x+21
−6x=x+21
−
6
−
=
+
2
1
−
Simplify
Combine like terms
Combine like terms
again
−
7
=
2
1 the answer is=3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-14-6x=x+7
-14-6x+14=x+7+14
-6x=x+21
-6x-x=x+21-x
-7x=21
\frac{-7x}{-7}=\frac{21}{-7}
x=-3
a student earns R220 a week.What does he earn in a year of it takes 2 weeks unpaid.
Answers
R11 000 in a year.
Step-by-step explanation:
Student earn R220 a week.A year have 52 weeksIt takes 2 weeks unpaidTherefore:
52 weeks - 2 weeks unpaid = 50 weeks
50 weeks × R220 = R11 000 in a year
−2w + 6 = 14w = What does w =
Answers
Divide both sides with 16, w= 6/16 which is 0.375
Find the missing length. Leave your answer as radical in simplest form
Answers
Answer:
v = [tex]\frac{7\sqrt{2} }{2}[/tex]
u = [tex]7[/tex]
Step-by-step explanation:
First, the angle on the far left is also 45 degrees.
So, v is equal to [tex]\frac{7\sqrt{2} }{2}[/tex] because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.
However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by [tex]\sqrt{2}[/tex].
So, [tex]\frac{7\sqrt{2}}{2}*\sqrt{2}[/tex] is equal to:
[tex]7[/tex]
Hope this helps!
find the missing angle measures
Answers
Answer:
Step-by-step explanation:
180° ( n - 2 )
n = 6 sides
4( x )° + 2( x - 6 )° = 180° ( 6 - 2 )
4x + 2x - 12 = 720
6x = 732
x = 122
x° = 122 °
( x - 6 )° = 116 °
122° + 116° + 122° + 122° + 116° + 122° = 720°
John’s current salary is $40,000 per year. His annual pay raise is always a percent of his salary. For the foreseeable future, his pay increases will be 4%. Write an explicit formula for the sequence of amounts. Let s represent John's salary and y represent the number of years.
Answers
Answer:johns my fraind
Step-by-step explanation:
If 3x² is the length of a rectangle and the area is 12x^4 + 27x², what must be the width?
Answers
Answer:
4x^(2)+9
Step-by-step explanation:
A lime has a mass of 90 grams, and is in the shape of a sphere with radius 1 point
2.5 centimeters. What is the density of the lime?
Answers
The density of the lime is 1.38 g/cm^3.
What is the density of a lime?
Remember that the density is given by the quotient between mass and volume.
Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
So our lime has a volume:
V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3
And the mass is M = 90 grams, then the density is:
D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3
If you want to learn more about density, you can read:
https://brainly.com/question/1354972
Bryce needs to save at least $1400 for new baseball gear. He has $600 and will continue saving $25 a week. Select all the inequalities below that represent this situation where, n, is the number of weeks.
25n + 600 < 1400
25n > 800
25n - 600 > 1400
25n < 800
25n - 600 < 1400
25n + 600 > 1400
Answers
Answer:
25n + 600 > 1400
Step-by-step explanation:
5 yr. 8 mo.
8 yr. 6 mo.
+ 4 yr. 5 mo.
We’re the answer