Answer:
A. The length of the third side is approximately 5 feet.
B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
= [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]
= 36 + 9 - 36 x 0.5
= 45 - 18
[tex]b^{2}[/tex] = 27
b = [tex]\sqrt{27}[/tex]
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
So that,
[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]
Sin A = [tex]\frac{0.886*6}{5.2}[/tex]
Sin A = 0.99923
A = [tex]Sin^{-1}[/tex] 0.99923
= 87.75
A ≅ [tex]88^{o}[/tex]
Since the sum of angle in a triangle = [tex]180^{o}[/tex].
Then,
A + B + C = [tex]180^{o}[/tex]
[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]
[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]
C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]
= [tex]32^{o}[/tex]
C = [tex]32^{o}[/tex]
Thus,
A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
True or False: 400 more than the product of 60 and 90 is the same as 60 x 90 + 400
Answer:
true
Step-by-step explanation:
mark as brainliest plz
Answer:
True
Step-by-step explanation:
400 + 60 x 90 = 400 + 5400 = 5800
60 x 90 + 400 = 5400 + 400 = 5800
please help meeeeeeeeee
Answer:
The sum of the interior angle measures of the polygon is 540°
Step-by-step explanation:
The formula of the sum of the measures of the interior angles of a polygon is
∑m = (n - 2) × 180°, where n is the number of the sides of the polygon
In the given figure
∵ The polygon has 5 sides
∴ n = 5
→ Use the formula above to find the sum of the interior angle measures of it
∵ ∑m = (5 - 2) × 180°
∴ ∑m = 3 × 180°
∴ ∑m = 540°
∴ The sum of the interior angle measures of the polygon is 540°
please help and show work
19) Geoff owns a computer store in 1990 he sold 2400 monitors and in 2000 he sold 4000. Let x
represent the number of years since 1990. Write a linear equation in slope intercept form that
represents this data.
Answer:
B. [tex] y = 160x + 2400 [/tex]
Step-by-step explanation:
The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
b = starting value = y-intercept = 2,400
Slope of the linear equation using (0, 2400) and (10, 4000):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]
Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].
Thus, the linear equation in slope-intercept form would be:
✅[tex] y = 160x + 2400 [/tex]
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Write 0.000739 in scientific notation.
Answer:
7.39 × 10-4^-4
Step-by-step explanation:
Answer:
7.39 × 10-⁴
Step-by-step explanation:
m × 10ⁿ, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
select the correct answer from each drop down menu
a relation is defined by the points (1,4), (3,-1), (-1,-2) and (1,-3)
this relation (is) (is not) a function because there (is no x-value) (is one x-value) (are two x-values) corresponding to multiple y-values.
Answer:
The answer is that the relation is not a function. because there are two x-values corresponding to multiple y-values
Step-by-step explanation:
Here we want to explain why the given set of points do not represent a function
For a function, we can have same y value for different x value
But, we cannot have same x value for different y value
The sets of point given however has 2 y-values having same x value and as such the points cannot form a function (1,4) and (1,-3)
Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary
Answer:
40 degrees
Step-by-step explanation:
360/9=40
The solution is 40°
The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°
What is the sum of an exterior angle of a polygon?
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line
Sum of exterior angles of a polygon = 360°
Measure of each exterior angle = 360° / N
where N is the number of sides
Given data ,
Let the measure of each exterior angle be = A
Let the number of sides of the polygon be = N
Now , the polygon is a nonagon
So , the number of sides N = 9
Now , The sum of exterior angles of a polygon is 360°
So ,
The measure of each exterior angle is given by the equation 360° / N where N is the number of sides
Substitute the value for N in the equation , we get
The measure of each exterior angle = 360°/9
The measure of each exterior angle = 40°
Therefore , the value of A is 40°
Hence , the measure of each exterior angle is 40°
To learn more about exterior angles of polygon click :
https://brainly.com/question/29077760
#SPJ2
Find the measures of the angles of a triangle of the measure of one angle is three times the measure of a second angle and the third angle measures five times the second angle decreased by 90
Answer:
hii
x=30
Step-by-step explanation:
x+3x+5x-90=180
9x=270
x=30
A recipe for a batch of muffins calls for cup of sugar, cup of flour, and cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?
Answer:
9 total cups. 3 cups of sugar. 3 cups of flour, 3 cups of milk
Step-by-step explanation:
State the property being illustrated in each example.
5.) 6(5x) = (6.5)x
6.) 14 + x + 8 = 14 + 8 + x
7.) 9(y + 4) = 9y + 36
8.) (a + 100) + 50 = a + (100 + 50)
9.) 1/4 (8x - 20) = 2x-5
10.) 25 - 7 = 25 .7 . y
Answer:
5.) Associative Law
6.) Commutative Law
7.) Distributive Law
8.) Associative Law
9.) Distributive Law
10.)
Step-by-step explanation:
The associative law means that if all the arithmetic operations in an equation are the same, the position of the brackets do not matter and no matter which variables are associated, the result would still be the same.
The commutative law means that if all the arithmetic operations in an equation are the same, the position of the variables do not matter and no matter what order the variables are placed, the result would still be the same.
The distributive law means that whatever is outside of the bracket has to be multiplied into the variables in the bracket evenly. E.g. 1/4 (8x - 20) involves multiplying both 8x by 1/4 and 20 by 1/4.
(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
Selling Sunset
Answer:
The Office
Step-by-step explanation:
this is duee in 1 hourrr helllp!!!!
Answer:
4/5
Step-by-step explanation:
Rise = 4
Run = 5
~theLocoCoco
Answer:
4/5
Step-by-step explanation:
Ben needs to replace two sides of his fence. Once side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?
Answer:
696 39/100
Step-by-step explanation:
What is the slope of the graph of y=12x−19
y
=
12
x
−
19
?
divide 5 divided by 1/4
Answer:
20
Step-by-step explanation:
Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.
Step-by-step explanation: Hope This Helps!!
From: Kageyama! <3 No need to thank me, it's what I do! ^^
Solve- x/2 + 1=5
A)8
B)9
C) 11
D) 2
Answer:
A. 8
Step-by-step explanation:
Answer:
A/8
Step-by-step explanation:
Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That leaves you with x=8
The sum of two numbers is 153. The larger number is twice the smaller number. Find both numbers.
Answer:
The 2 numbers are
102 and 51
Step-by-step explanation:
A + B = 153
A=2B
So 2B+B=153
3B=153
B=153/3=51
A=51*2=102
At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6.94, without tax. How many pounds of bananas did Meyer buy?
Answer:
Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3 pounds of bananas
Step-by-step explanation:
P.S can I have brainliest?
If kate has 179 apples and Chloe steals 69 how many does kate have left
Answer:
110
Step-by-step explanation:
Answer: and 10. 110. Plus chloe savage
Step-by-step explanation:
Which point on the number line below is the opposite of
3?
loo
A
B
с
D
-2.
-1
0
1
2
Ο Α
B
С
OD
Step-by-step explanation:
point c
..................
∠A and \angle B∠B are complementary angles. If m\angle A=(3x+9)^{\circ}∠A=(3x+9)
∘
and m\angle B=(x-11)^{\circ}∠B=(x−11)
∘
, then find the measure of \angle A∠A.
Answer: 78*
Step-by-step explanation: Look at pic
What is the slope in simplest form?
Answer:
-1/2
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
We are given the points (1, 4) and (3, 3).
3-4/3-1
-1/2
Best of Luck!
Answer:
the slope equation is y2-y1/x2-x1
the points given are (1,4) and (3,3)
plug it into the equation and you get:
3-4/3-1
-1/2 is your answer. I hope this helps :)
What is the product of this multiplication?
Answer:
69
Step-by-step explanation:
just cause
The perimeter of a rectangle can be found using the formula 2l + 2w, where l represents the length of the rectangle and w represents the width of the rectangle. Find the perimeter of a rectangular swimming pool whose length is 32 feet and width is 20 feet.
Answer:
The perimeter is 104
Step-by-step explanation:
The formula for a peremeter is 2 * length + 2 * width.
Substitute the length and width for the given values.
2 * length + 2 * width
2 * 32 + 2 * 20
64 + 40
104
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21.
Equation:
Question 2
Solution: x=
Answer:
-1.5-21x
Step-by-step explanation:
Carla makes $20 for each lawn she mows. The money she makes depends on the number of lawns she mows.
How much money will she make if she mows 5 lawns?
ANSWER THE QUESTION IN THE IMAGE PLEASE ASAP!!!!!!!!!!!!!!!!!!!
Answer:
100
Step-by-step explanation:
20 times 5
ALOT OF POINTS NEED HELP
Answer:
C
Step-by-step explanation:
Answer: C.
Step-by-step explanation: G=Q, T=M, A=E
Which set of ordered pairs represents a function? (1 point)
A) {(0, 1), (1, 3), (1, 5), (2, 8)}
B) {(0, 0), (1, 2), (2, 6), (2, 8)}
C) {(0, 0), (0, 2), (2, 0), (2, 4)}
D) {(0, 2), (1, 4), (2, 6), (3, 6)}
my teacher didn't explain well so I need help
Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?
Answer:
18%
Step-by-step explanation:
Subtract $10.50 from $12.30 and you will get 1.8.
Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.