The value of x° and y° are 48.5° and 38.6°.
What is the cosine law?
The square of the length of any one side of a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.
The length of sides of the triangle are 10, 12, and 16.
Assume that AB = c = 10, BC = a = 16, and AC = b = 12
m∠B = x° and m∠C = y°.
Cosine law:
c² = a² + b² - 2ab cos C ....(i)
b² = a² + c² - 2ac cos B ....(ii)
a² = b² + c² - 2bc cos A ....(iii)
Putting a = 16, b = 12, c = 10, and C = y° in law (i)
10² = 16² + 12² - 2×16×12 cos y
100 = 256 + 144 - 384 cos y
384 cos y = 300
cos y = 300/384
y = 38.6°
Putting a = 16, b = 12, c = 10, and B = x° in law (ii)
12² = 16² + 10² - 2×16×10 cos x
144 = 256 + 100 - 320 cos x
320 cos x = 212
cos x = 212/320
x =48.5°
To learn more about cosine law, click on below link:
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16 = 4a + 8
A = ___?
This a test please help me
What is the correct factorization of
x2 - 11x + 18?
Answer:
(x-2)*(x-9)
Step-by-step explanation:
hope this helps!!
how do I find the area of this shape. Please help I need to turn this in today
Answer:
A = 70 units²
Step-by-step explanation:
Since all 4 sides are congruent then figure is a rhombus
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )
Here d₁ = 7 + 7 = 14 and d₂ = 5 + 5 = 10 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 10 = 7 × 10 = 70 units²
PLEASE HELP ASAP PLZ
also plz don’t answer if ur gonna put down random things
THIS IS MY 5TH ATTEMP PLZ NO BOTS
Answer:
dont listen to person above me . it's a scam
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
Surface area = 505cm²
Step-by-step explanation:
Surface area of the triangular prism. = 2B + ph
B is the base area
p is the perimeter of the triangle
h is the height of the triangle
Base area = 1/2 * base * height
Base area = 1/2 * 18 * 40
Base area = 9 * 40
Base area = 360cm²
Perimeter of the triangle = 41 + 41 + 18
Perimeter of the triangle = 100cm
height of the prism = 45cm
Surface area = 360 + 100 + 45
Surface area = 505cm²
Mrs. Morales wrote a test with 15 questions covering spelling and Y vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100.
A cheese pizza cost $5. Additional toppings cost $1.50 each. Write an equation in two variables that represents the cost of the pizza.
Answer:
Heres one
c = 5 + 1.5t
Step-by-step explanation:
Let t represent the number of toppings
and c represent the total cost of the pizza
During a sale, an appliance that costs $275 is being sold at a discount for $220. Which equation can be used to find the rate of the discount, d, during the sale?
your mom lol iwjdvdhaikabdbkos
I need help on this question (^~^;)ゞ
Answer:
21) x = 0
23) x = 7
Step-by-step explanation:
In a parallelogram, the opposite sides are congruent. Using this fact, we can create equations for both problems.
21)
[tex]2x + 18 = 18[/tex]
Subtract 18.
[tex]2x = 0[/tex]
Divide by 2.
[tex]x = 0[/tex]
23)
[tex]2x - 3 = 11[/tex]
Add 3.
[tex]2x = 14[/tex]
Divide by 2.
[tex]x = 7[/tex]
What’s the area of this polygon answer ASAP my teacher died
Answer:
Break it into 2 sections: 18 by 3 and 6 by 20
area = 54 + 120
= 174 (answer is A.)
Step-by-step explanation:
9514 1404 393
Answer:
A. 174
Step-by-step explanation:
Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...
A = LW = (20)(9) = 180
The only answer choice smaller than 180 is ...
A. 174 . . . . . square units
__
If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...
180 square units - 6 square units = 174 square units.
Find the values of x and y. Write your answers in simplest form.
Answer:
y=7
Step-by-step explanation:
x=3
8 m
10 m
What is the area of the triangle?*
Answer:
Step-by-step explanation:
Area = 1/2 (base) (height) I don't know what the numbers provided
represent in this problem. They colud be
the base and height or they could be two
of the three sides.
Find the length x to the nearest whole number.
430
|
502
29°
X
(Round to the nearest whole number as needed.)
Answer:
x = 557 to the nearest whole number
Step-by-step explanation:
The triangle is divided into two right triangles
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 29 = (x/2)/502
x/2 = 502 tan 29'
x/2 = 278.26
x = 278.26 * 2
x = 556.52
x = 557 to the nearest whole number
Please make original sentences with the words
-wallop
-diametrically
-luminous
Answer:
-"My step-dad's punch packs a wallop!"
-"The stars shining in the night sky were luminous."
-"The two diametrically opposed viewpoints of ketchup and mustard have been on war for decades."
Answer:
wallop:
daneil crashed on the floor with a wallop
diametrically:
"I regret to say we're diametrically opposed to your ideas", Jessica said to john
luminous:
i have a luminous clock in my room
Step-by-step explanation:
whats is 2x2 given brainlest
Answer:
4
Step-by-step explanation:
What is BC?
Pleaseee help I have no idea what I’m doing!!
Answer:
U GOT TO KNOW THE ANGLE
Step-by-step explanation:
Answer:
BC= 35
Step-by-step explanation:
trigonometry is used as its a right angle triangle, use the formula : a² + b² = c²
Find the distance between the two points below.
Answer:
Hi! The answer to your question is C. 4
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Can y’all put this from greatest to least?
-0.3
3
-0.9
2.91
-1.01
3, 2.91, -0.3, -0.9, -1.01,
PLEASE HELP ME I'M CLUELESS!!
Answer:
352.7 m
Step-by-step explanation:
Distance from the cliff 2000m
Angle = 10°
How tall is the cliff?
We solve the above question using the trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 2000m
θ = 10°
Hence:
tan 10 = x/2000m
Cross Multiply
x = tan 10 × 2000m
x = 352.65396142 m
Approximately = 352.7 m
The cliff is 352.7 m tall
find the volume of an oblique cylinder with a base diameter of 18 meters and a height of 40 meters. use 3.14 for pi and round to the nearest hundredth.
Answer:
10178.7602
Step-by-step explanation:
Volume of cylinder= π·r^2·h = π·9^2·40 ≈ 10178.7602
if 18 is the diameter than 9 would be the radius. to make the formula easier.
can somebody help me get both answers pls? ALSO PLEASE PLEASE DONT SEND YOUR LINKS
Answer:
x=30
m<G
3(30)-17
73
m<H
x+13
43
Step-by-step explanation:
Answer:
m∠G = 73°
m∠H = 43°
Step-by-step explanation:
Use the exterior angle theorem. The exterior angle theorem states that the exterior angle's measurement will be the sum of the two opposite interior angles. Set the equation:
(3x - 17) + (x + 13) = 116
First, combine like terms by simplifying:
3x + x - 17 + 13 = 116
4x - 4 = 116
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 4 to both sides of the equation:
4x - 4 = 116
4x - 4 (+4) = 116 (+4)
4x = 116 + 4
4x = 120
Next, divide 4 from both sides of the equation:
(4x)/4 = (120)/4
x = 120/4
x = 30
Plug in 30 for x for each angle measurement:
m∠G = 3x - 17
m∠G = 3(30) -17
m∠G = 90 - 17
m∠G = 73°
m∠H = x + 13
m∠H = 30 + 13
m∠H = 43°
Check:
180 - 73 - 43 = 64 (Summation of a triangle's angle).
180 - 64 = 116 (Theorem of line).
Both plant and animal cells have vacuoles, which is a large sac that holds food, water and waste. True True False
Answer:
True. It is true.
Answer:
True
Step-by-step explanation:
They both have vacuoles but the vacuoles are much larger in plant cells than animal cells.
Please help me with 1,2,3,4,5,6 please
Answer:
all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²
longest side is called hypotenious (h)
and u can assume any of the remaining side as p and b as your choice
eg=
1) h=13
p=12
b=?
using pythagrous theroem
h²=p²+b²
13²=12²+b²
169= 144+b²
169-144=b²
25=b²
25 is the square root of 5 so
5²=b²
square root of each side will be cancelled so
b = 5
In this way u can solve your questione.....
Answer:
1.
[tex] {h}^{2} = {p }^{2} + {b}^{2} [/tex]
[tex] {13}^{2} \: = {12}^{2} + {b}^{2} [/tex]
[tex] {b}^{2} = {13}^{2} - {12}^{2} [/tex]
[tex] {b }^{2} = 169 - 144[/tex]
[tex] {b}^{2} = 25/tex]
[tex]b = \sqrt{25} [/tex]
[tex]b = 5[/tex]
hope this helps you all of your question's is base on the formula given above
mark me as brainliest pls
b)
(-32)+(+17)+(+32)
Answer:
17
Step-by-step explanation:
-32 and 32 get cancel
and the answer is 17
When ringing up a customer, a cashier needs 10 seconds to process the payment as well as 5.7 seconds to scan each item being purchased. Write an equation that shows the relationship between the items being purchased, p, and the time, t.
Answer: 5.7p + 10
Step-by-step explanation:
From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.
The equation that shows the relationship between the items being purchased, p, and the time, t will then be:
= 5.7p + 10
What is the median of the data set?
32, 37, 38, 40, 50, 52, 55, 57
A. 23
B. 40
C. 57
D. 45
Answer:
D. 45
Step-by-step explanation:
(40+50)/2 = 45
sadly my answer has deleted here
Find the angle of the sector given the radius and the area of the sector.
Radius = 12 ft
Area of sector is 339.3 ft2
Answer:
270 degrees
Step-by-step explanation:
[tex]Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree[/tex]
At a school. Number of boys:number of girls=11:9. There are 124 more boys than girl. Work out the total number of students at the school
Answer:
Total students = 1240
Step-by-step explanation:
Given that,
Number of boys: number of girls=11:9
[tex]\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y[/tex] ......(1)
There are 124 more boys than girls i.e.
x = 124+y .....(2)
Put the value of x from equation (2) in equation (1). So,
9(124+y) = 11y
1116 +9y = 11y
1116 = 2y
y = 558
Put the value of y in equation (2).
x = 124+558
x = 682
Total students = x+y
= 682+558
= 1240
So, there are 1240 students at the school.
what is the equation of this graph?
a) x=-7
b) y=-7
In golf, each hole has a score called par, which is the
number of strokes a good golfer should take to get the
ball in the hole. Scores that are under par are repre-
sented by a negative number. The table shows the golf
scores from team members in a golf tournament. If the
team's total score is -32, what is Curran's score?
Rose -9
Garcia -15
Curran ?
Answer:
-8
Step-by-step explanation:
Let r, g and c be the scores of, respectively, Rose, Garcia and Curran.
We know that
[tex]r + g + c = - 32 \\ r = - 9 \\ g = - 15[/tex]
Thus
[tex] - 9 - 15 + c = - 32 \\ - 24 + c = - 32 \\ c = - 8[/tex]