The measure of x is an illustration of the cosine trigonometry ratio
The measure of x to the nearest tenth of a degree is 58.7 degrees
How to calculate the measure of xThe measure of x is calculated using the following cosine ratio
[tex]\cos(x) = \frac{4.1}{7.9}[/tex]
Evaluate the quotient
[tex]\cos(x) = 0.5190[/tex]
Take the arccos of both sides of the equation
[tex]x = \cos^{-1}(0.5190)[/tex]
Evaluate the arccos(0.5190)
[tex]x = 58.73[/tex]
Approximate to the nearest tenth of a degree
[tex]x = 58.7[/tex]
Hence, the measure of x is 58.7 degrees
Read more about cosine ratio at:
https://brainly.com/question/15793827
The figure shows a rhombus ABCD where the diagonals AC and BD intersect at E. Find the value of x.
Answer: 2
Step-by-step explanation:
Using the Z rule, we get the angle of DCE is 2x + 53
The angle DEC is a right angle as the diagonals of a rhombus always make a right angle
So we get the equation
3x + 7 + 2x + 53 + 90 = 180
5x = 10
x = 2
S $1,595 deposit for 10 years at a simple interest rate of 8%
Answer:
$2,871.00
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1595(1 + (0.08 × 10)) = 2871
A = $2,871.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.
7.
Find the measurements (CVU
u
630
(3x) (x + 13)
су
T
Answer:
12.43
Step-by-step explanation:
20 points PLEASE HELPPP!!!
Answer:
1. total area = 135mi²
Step-by-step explanation:
hope this helps :)
help
this is easy
for u
Answer:
2587
+
9534
—————
12 121
This is the answer :)
The x coordinate is zero and
the y coordinate is positive so what quadrant are they located in
Answer:
If the x-coordinate is (0,0) and the y-coordinate is positive, it is not technically in any quadrant because it is located on the line and not in any quadrant.
Step-by-step explanation:
how to do subtracting unlike fractions easily?
Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.
Samuel wants to eat at least 15grams of protein each day. Let x represent the amount of protein he should meat each day to meet his goal. Which inequality represents this situation?
Answer:
[tex]x\geq 15[/tex]
Step-by-step explanation:
Samuel wants at least 15 grams
Let's expand on "at least 15"
It means that Samuel wants no less than 15, but 15 or more
It could be 16, but not 14
To create an inequality, 15 or more can be written as [tex]x\geq 15[/tex] (x is 15 more more)
The answer is [tex]x\geq 15[/tex]
Hope this helps :)
Have a nice day!
A goat (point G) is tied with a 6-foot rope to the corner of a shed. The floor of the shed is a
square whose sides are each 3 feet long. The shed is closed and the goat can't go inside.
The space all around the shed is flat, grassy, and the goat can't reach any other structures
or objects. What is the area over which the goat can roam?
Please help due at 10:00!!!!!!!!!!!
3y = 5
6 = 2x + 2
x = 2, y = 5/3
2x - 2 = 2 ←
Answer:
y = - 4
Step-by-step explanation:
3y = 2x - 6 ................. (1)
4x + 3y = - 24 ........... (2)
(1) ----> (2)
4x + ( 2x - 6 ) = - 24
6x - 6 = - 24
x - 1 = - 4
x = - 3
3y = 2 ( - 3 ) - 6
3y = - 12
y = - 4
( - 3 , - 4 )
A trapeziod is always an example of
Answer:
quadrilateral
Step-by-step explanation:
A tent originally costs $450, but it is on sale for 22% off. If a customer buying the tent has a coupon for $20. 00 off of any purchase, what will her final price be on the tent?.
Answer:
$ 331 :)
Step-by-step explanation:
On Saturday a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers the number of the cheeseburgers sold was two times the number of hamburgers sold how many hamburgers were sold on Saturday?
Answer:
145 Hamburgers were sold on Saturday
Step-by-step explanation:
435/3=145
145 x 2=290
290+145=435
Answer:
145 hamburgers
290 cheeseburgers
Step-by-step explanation:
let 'h' = # of hamburgers
let 'c' = # of cheeseburgers
h + c = 435
c = 2h
substitute '2h' for 'c' in the first equation:
h + 2h = 435
3h = 435
h = 145
c = 2(145) = 290
A square has side length 2x+5 . Find its area.
Answer: 4x^2 + 20x + 25
Step-by-step explanation:
(2x + 5)^2 = 4x^2 + 20x + 25
Urgent and pls explain thoroughly. O is the centre of the circle. OA, OB and OC are radii. Angle AOB = 72°.
Work out
a) angle OAB b) angle OCB c) angle ABC
Answer:
<ABC=90° <OCB=36° <OAB=54°
Step-by-step explanation:
<ABC=90°
<ocb= half of aob
<oab + <abc+<ocb=180°(triangle abc)
Answer:
a) ∠OAB = 54°
b) ∠OCB = 36°
c) ∠ABC = 90°
Step-by-step explanation:
a)
If O is the center of the circle, then OA and OB are both the radius. Therefore, OA = OB
This means that ΔAOB is an isosceles triangle, as is has two sides of equal length (OA and OB).
The angle between the equal sides (∠AOB) is called the vertex angle. The side opposite the vertex angle (AB) is called the base and base angles are equal. Therefore, ∠OAB = ∠OBA
Given:
The sum of the interior angles of a triangle is 180°∠AOB = 72°∠OAB = ∠OBA⇒ ∠OAB + ∠OBA + ∠AOB = 180
⇒ ∠OAB + ∠OBA + 72 = 180
⇒ ∠OAB + ∠OBA = 108
⇒ ∠OAB = 108 ÷ 2 = 54°
b)
Again, we can see that OB and OC are both the radius, so OB = OC. This means that ΔBOC is also an isosceles triangle, with ∠BOC as the vertex and BC as the base.
Calculate ∠BOC:
Given:
Angles on a straight line add up to 180°∠AOB = 72°⇒ ∠AOB + ∠BOC = 180
⇒ 72 + ∠BOC = 180
⇒ ∠BOC = 108°
Calculate ∠OCB:
Given:
The sum of the interior angles of a triangle is 180°∠BOC = 108°∠OBC = ∠OCB⇒ ∠OBC + ∠OCB + ∠BOC = 180
⇒ ∠OBC + ∠OCB + 108 = 180
⇒ ∠OBC + ∠OCB = 72
⇒ ∠OCB = 72 ÷ 2 = 36°
c)
Thales's theorem is a special case of the inscribed angle theorem and states that:
If A, B, and C are distinct points on a circle where the line AC is a diameter, then ∠ABC is a right angle.Given that AC is the diameter of this circle, and points A, B and C are on the circle, then ∠ABC = 90°
4-(3x+3)=4x
The way I did was
4-3x+3=4x
Then i group the x
3x-4x=
Now that’s where I got stuck
Answer:
4-(3x+3)=4x
4-3x-3=4x
4-3=4x+3x
1=7x
x=1/7
or
4-(3x+3)=4x
4-3x-3=4x
-3x-4x=-4+3
-7x=-1
x=-1/-7
-/-=+
so -1/-7 it equal to 1/7
you dont want negative x
x=1/7
Answer:
1/7
Step-by-step explanation:
Take your equation: 4-(3x+3)=4x
Then, use the distributive property to carry out the negative sign, so you get 4-3x-3=4x
Add 3x to both sides to get: 4-3=4x+3x
Add like terms together to get: 1=7x
Flip the sides to get: 7x=1
Divide by 7 on both sides to get 7x/7=1/7
Simplify to get: x=1/7
what is the value of t in 3(8+t)=25.50
Answer:
3(8+0,5)=25,5 use calculator :D
Which of the following ordered pairs make this equation true?
y = 3x
A. (-3,-1)
B. (3, 1)
C. (6,4)
D. (2,6)
Answer:
D
Step-by-step explanation:
substitute the x- coordinate of each point into the equation and if the value obtained is equal to the y- coordinate then the point makes the equation true.
A (- 3, - 1 )
y = 3(- 3) = - 9 ≠ - 1 ← false
B (3, 1 )
y = 3(3) = 9 ≠ 1 ← false
C (6, 4 )
y = 3(6) = 18 ≠ 4 ← false
D (2, 6 )
y = 3(2) = 6 ← true
Unknown Angle Problems (with algebra)
Answer:
[tex]x = 45[/tex]
Step-by-step explanation:
You'll solve it like this:
[tex]2x+45+x=180[/tex]
Grap it on desmos to check the x value
[tex]x=45[/tex]
Check your answer by substituting:
[tex]2(45)+45+45[/tex]
Which is then equal to [tex]180[/tex]
The points (-6, 5) and (r, 20) lie on a line with slope 5/4
Find the missing coordinate r.
7a + 3 ( a - 4) please help!!
Step-by-step explanation:
7a+3a-4
=10a-4
Hope this can help you
Answer:
2(5a-6)
Step-by-step explanation:
[tex]=7a+3(a-4)\\\\=7a+3a-12\\\\=10a-12\\\\=2(5a-6)[/tex]
Which equation has the same missing number as the given equation?
Answer:
The first one would be the answer!
Step-by-step explanation:
318= 218+100 hope this helps:)
Answer:
The first choice
Step-by-step explanation:
318 - 100 = 218 so
218 + 100 must = 318
the first choice
what is x-72=136 and what is n - 10 = 13 + 5
Answer:
1) x = 208 2) n = 28
Hope this helps! Have a great day!!
Step-by-step explanation:
1)
x - 72 = 136
+ 72 +72
x = 208
2)
n - 10 = 13 + 5
n - 10 = 18
+10 +10
n = 28
First off we will use our definitions so you know what do to next time and make it easier,
DefinitionAlgebra - the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
_______________
Now we can start!
[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:ONE}}\mid}}[/tex]
[tex]x-72=136[/tex]Add 72 to both sides,
Answer : [tex]x=208[/tex]
[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:TWO}}\mid}}[/tex]
[tex]n-10=13+5[/tex]Simplify ⇒ [tex]13+5[/tex] ⇒ [tex]18[/tex]
[tex]n-10=18[/tex]Add 10 to both sides
Answer : [tex]n=28[/tex]
Nathan mixes green paint and yellow paint in the ratio 3:5.
He makes 16 litres of paint.
How much more yellow paint does he need to add to the mixture so that
the ratio of green paint to yellow paint becomes 1:6?
26 liters of yellow paint need to be added for the ratio of green paint to yellow paint to be 1:6.
EquationAn equation is an expression that shows the relationship between two or more variables and numbers.
From the question:
Amount of green paint = (3/8) * 16 = 6 liters
For the ratio of green paint to yellow paint to be 1:6, let y represent the number of yellow paint to be added.
6 = (1/7) * (16 + y)
16 + y = 42
y = 26
26 liters of yellow paint need to be added for the ratio of green paint to yellow paint to be 1:6.
Find out more on Equation at: https://brainly.com/question/2972832
541 - 167 8/9 - 3/9 5/8 - 2/8
Answer:
Q1: 374
Q2: 5/9
Q3: 3/8
Step-by-step explanation:
Q1:
541−167
=541−167
=541+−167
=374
Q2:
8/9 - 3/9
8 - 3 /9
= 5/9
Q3:
5/8 - 2/8
5 - 2 / 8
= 3/8
what is the gradient of the blue line , pls i need this done ASAP and someone who's good at maths
Answer:
-3
Step-by-step explanation:
gradient => (-1-2)/(-1+2)
gradient => -3/1
gradient => -3
I need help with this equation please: 24c+36d+18:
Thank you!
Answer
[tex] \: \: [/tex]
[tex] \sf \large \red{ ↬}24c + 36d + 18[/tex]
[tex] \: \: [/tex]
[tex] \boxed{ \sf \large \red{ ↬}6(4c + 6d + 3)}[/tex]
[tex] \: \: [/tex]
Hope Helps!
5(x+6) in standard form
Hey there!
5(x + 6)
DISTRIBUTE 5 to WITHIN PARENTHESES
= 5(x) + 5(6)
= 5x + 30
Therefore, your answer is: 5x + 30
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The figure shown is a rhombus. If
Hoi there :)
The question is unclear. Plesse repost with full question and picture
What is important when learning about trig?
Answer:
-You should already be familiar with algebra and geometry before learning trigonometry. From algebra, you should be comfortable with manipulating algebraic expressions and solving equations. From geometry, you should know about similar triangles, the Pythagorean theorem, and a few other things, but not a great deal.
-Measure the lengths of the sides of sets of similar right angled triangles and find the ratio of sides.
-Investigate the relationship between these ratios and the angle size.
-Use calculators or tables to find the sine, cosine and tangent of angles.
Step-by-step explanation:
basic knowledge i guess
Before beginning trigonometry, you need be comfortable with algebra and geometry. You should be comfortable handling algebraic expressions and solving problems after studying algebra. You should know about similar triangles, the Pythagorean theorem, and a few other things from geometry, but not much else. Students can use trigonometry to calculate the precise angle of a triangle's sides, the distance between distinct points on a triangle, and other information that is useful in a number of situations. Trigonometry is an essential component of ICSE Class 10 Mathematics since it combines memorization, conceptual knowledge, and problem-solving abilities. Because many of the earth's natural formations resemble triangles, it aids children in their comprehension of the globe.
Hope this helps
~ ROR