X, Y and Z form the vertices of a triangle, where ∠ YXZ = 68°, XY = 7.3m and XZ = 8.3m. Calculate the area of the triangle. Round your answer to 1 DP.
Answers
Answer: Area = 28.2m²
Step-by-step explanation: The triangle YXZ is shown in the figure below.
Area of a triangle is calculated by the formula:
[tex]A=\frac{1}{2} (base*height)[/tex]
According to the figure, the base of this triangle is b = 8.3m.
Height is a perpendicular line created from one side and intersecting the opposite angle.
To determine the height, use trigonometric relations to angle 68:
[tex]sin(68)=\frac{h}{7.3}[/tex]
h = 7.3*sin(68)
h = 7.3*0.93
h = 6.8
Now, area of triangle YXZ is
[tex]A=\frac{1}{2} (8.3*6.8)[/tex]
A = 28.2
Area of triangle YXZ is 28.2m².
Related Questions
Under the following translation, (x,y) becomes (x+3, y-2) the point (3,6) will become _____.
Answers
Answer:
Step-by-step explanation:
put x = 3 and y = 6 in (x+3,y-2) so it becomes (6,4)
Answer:
4,6
Step-by-step explanation:
(1/2)•
•(1/2)•(1/2)•(1/2)•(1/2)•(1/2)
Answers
Answer: 1/2x6=3 not 1/2x5 which equals 2 1/2.
Answer:
2 1/2
Step-by-step explanation:
The total monthly cost, f(m) , of Teresa's cell phone plan, in dollars, is calculated using the function (m) = 59.95 + 0.15m , where is the number of minutes she uses each month. The total monthly cost, R(n) , of Randy's cell phone plan, in dollars, is calculated using the function R(n) = 29.95 + 0.35n , where n the number of minutes he uses each month. Teresa used 406 minutes last monthRandy used 327 minutes last month. How much less did Teresa owe than Randy?
Answers
Answer:
$23.55
Step-by-step explanation:
Teresa: y = 0.15(406) + 59.95,
= 120.85
Randy = y = 0.35(327) + 29.95
= 144.4
Subtract:
144.4 - 120.85
= 23.55
Evaluate a + b when a = -15 and b = -7.
Answers
Answer:
-22
Step-by-step explanation:
both are negative so you add them as normal numbers but keep the negative
Worth 30 points!!! Will mark brainliest!!!
Answers
Answer:
d.
Step-by-step explanation:
I just know.
A TV has an original price of $499. Enter the new price after the given percent of change.
20% increase
Answers
Answer:
$598.8
Step-by-step explanation:
499*1.2
598.8
looking for help with this question, i’m just confused on how to solve:)
Answers
the reasoning is that you would take rise/run which is the slope equation . so , to get from -3 to 3 , you move up 6 and to get from 2 to 4 , you move over 2 , which equals 6/2 or 3 .
what's the LCD for 5 3 10 8 and 4?
And lastly what's the LCD for 2 . 10 . 5 , 8 , 4 ? someone pls help me.
Answers
Answer:
LCD for 5, 3, 10, 8, 4 is 120
LCD 2, 10, 5, 8, 4 = 40
Step-by-step explanation:
LCD (Least Common Denominator)
When adding fractions with different denominators, we must make all of them equal before attempting to add the numerators.
The minimum number that makes all denominators the same is the LCD. It uses the concept of the Lowest Common Multiple.
To find the LCD for 5, 3, 10, 8, 4, list all their prime factors:
5=5
3=3
10=2,5
8=2,2,2
4=2,2
Now multiply all the prime factors the maximum number of time it appears:
LCD=5*3*2*2*2=120
LCD for 5, 3, 10, 8, 4 is 120
Now for 2, 10, 5, 8, 4
2=2
10=2,5
5=5
8=2,2,2
4=2,2
LCD=2*2*2*5=40
LCD 2, 10, 5, 8, 4 = 40
What is the simplified expression of 5(3m+7) - 4?
Answers
Answer:
15m +31
Step-by-step explanation:
5(3m+7) - 4 = 15m + 35 - 4 = 15m +31
use distributive property to get 5x3m= 15m and 5x7=35. Now the equation is 15m+35-4. Your final answer is 15m+31! :)
Don Juan tiene, en su caja de ahorros, $3.588,90. Retira el lunes la tercera parte; el martes, $1.000 de lo que le quedaba y el miércoles, 2/5 de lo que le quedaba. Cuando le quedan en su cuenta?
Answers
Answer:
El total que queda en su cuenta es de $835,56
Step-by-step explanation:
Caja de ahorros: $3.588,90
Lunes
Retira una tercera parte (3588,90 / 3) = $1196,30
Quedan= $2392,60
Martes
Quedaban $2392,60 y se lleva $1000
2392,60 - 1000 = 1392,60
Le quedan= $1392,60
Miércoles
Quedaban $1392,60 y retira 2/5
1392,6 / 5= 278,52 es la quinta parte
-> 2/5 partes son: 278,52 + 278,52 = 557,04
Retira $557,04
1392,60 - 557,04= 835,56
El total que queda en su cuenta es de $835,56
imagine that you are standing at the center of a giant bowl of gelatin what type of wave will you make across the top of the gelatin if you jump up and down
Answers
Write an equation of the perpendicular bisector of the segment with end points
Answers
value of x on triangle with angle of 92 and 54
Answers
Answer:
34
Step-by-step explanation:
hope i helped :)
190-146= 44
your answer is 44
Solve the formula
W=1/2CV^2 for C
Answers
Answer:
U= 1/2 C V2 = 1/2 (2*10(-6) F)* (5 V)2
U= 25 * 10(-6) J
Step-by-step explanation:
Answer:
C = 2W/V^2
Step-by-step explanation:
W = 1/2CV^2
W * 2 = 1/2CV^2 * 2
2W/V^2 = CV^2/V^2
2W/V^2 = C
C = 2W/V^2
hope it helps :)
mark brainliest!
A shopper at a clearance sale is pleased to discover some flutes on sale for $693 each. The original price tags read $770. What is the discount, as a percentage?
Answers
Answer:
10%
Step-by-step explanation:
Original price of flutes = $770
Discounted price = $693
To find:
Discount percentage = ?
Solution:
To find the discount percentage, we need to first find out the discount value.
Discount = Original price of flutes - Discounted price of flutes
Discount = $770 - $693 = $77
Discount percentage will be calculated on the original price.
[tex]Discount \%=\dfrac{Discount}{Original\ Price}\times 100\\\Rightarrow Discount \%=\dfrac{77}{770}\times 100\\\Rightarrow Discount \%=\bold{10\%}[/tex]
So, the discount as a percentage is 10%.
Find the average rate of change on the interval x=-5 to x=-2 using the function below
Answers
Whenever Braden's dad has any scrap wood, he lets Braden use it for craft projects. Yesterday, Braden's dad gave him a 32.8-inch strip of scrap wood. Braden wants to use it to make a square picture frame. He cuts the strip of scrap wood into 4 equal pieces. How long is each piece?
Answers
Answer:
The answer is 8.2
Step-by-step explanation:
You have to divide 32.8 by 4.
There were 180 students in attendance at the dance. If there were 32 more boys than girls at the dance, how many girls and boys were at the dance?
Answers
[tex]\huge\boxed{\text{$74$ girls}}\ \huge\boxed{\text{$106$ boys}}[/tex]
Hey there! This situation can be modeled and solved using a system of equations. We'll use [tex]b[/tex] to represent the number of boys and [tex]g[/tex] to represent the number of girls.
[tex]\displaystyle{\left \{ {{b+g&=180} \atop {b&=g+32} \right.}[/tex]
Since we know what [tex]b[/tex] equals, we can substitute it into the first equation.
[tex]\begin{aligned}b+g&=180\\(g+32)+g&=180&&\smash{\Big|}&&\text{Substitute.}\\2g+32&=180&&\smash{\Big|}&&\text{Combine like terms.}\\2g&=148&&\smash{\Big|}&&\text{Subtract $32$ from both sides.}\\g&=74&&\smash{\Big|}&&\text{Divide both sides by $2$.}\end{aligned}[/tex]
Now that we know the number of girls, use the second equation to get the number of boys.
[tex]\begin{aligned}b&=g+32\\&=74+32&&\smash{\Big|}&&\text{Substitute.}\\&=106&&\smash{\Big|}&&\text{Add.}\end{aligned}[/tex]
what are acute triangles
Answers
acute obtuse and right acute is the smallest
Step-by-step explanation:
Answer:
An acute triangle is a triangle with three acute angles (less than 90°).
Step-by-step explanation:
What is it im cunfusd
Answers
Answer:
B
Step-by-step explanation:
the signs under the questions are greater than, less than, and equal to signs. And 1/5 is greater than -4/5
After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form?
Enter your answer in the box. Include commas in your answer.
8.234 E14
Answers
Answer:
i’m pretty sure the answer is 8,234 x 10^-3
Step-by-step explanation:
Sorry if this is incorrect!
Answer:
8.234E^14
Step-by-step explanation:
work out the size of angle x
Answers
Answer:
x=129
Step-by-step explanation:
180-51=129
Which linear inequality will not have a shared solution
set with the graphed linear inequality?
O y < 5/3 x-2
O y < -5/3 x + 1
Oy > 5/3 x + 2
O y > -5/3 x + 2
Answers
Answer:
C. y > 5/3 x + 2Step-by-step explanation:
A. y < 5/3 x-2
Will mostly share the region, same side of the parallel lineB. y < -5/3 x + 1
Will share almost half of the regionC. y > 5/3 x + 2
Left side of the parallel line, no shared regionD. y > -5/3 x + 2
Same as B.[tex]y > \frac 53x +2[/tex] will not have a shared solution set with the graphed linear inequality
How to determine the linear inequality?From the graph, we have the equation of the line to be:
[tex]y < \frac 53x +1[/tex]
The equation that have a shared solution must intersect with the line of the inequality.
From the list of options, we have:
[tex]y < \frac 53x -2[/tex] --- has the same slope, but a smaller y-intercept.
This means that the region of [tex]y < \frac 53x -2[/tex] is within the region of [tex]y < \frac 53x +1[/tex]
[tex]y < -\frac 53x + 1[/tex]
This has a different slope to the graph.
So, it will have a shared solution
[tex]y > \frac 53x +2[/tex] --- has the same slope, but a bigger y-intercept and a different inequality sign
This means that the region of [tex]y > \frac 53x +2[/tex] is outside the region of [tex]y < \frac 53x +1[/tex], and it will not have a shared solution
Hence, [tex]y > \frac 53x +2[/tex] will not have a shared solution set with the graphed linear inequality
Read more about inequalities at:
https://brainly.com/question/11234618
The figure below shows two pair of congruent triangles. ΔRBO ≅ ________. ΔPAT ΔATP ΔPTA ΔAPT
Answers
Answer:
is there a picture you could add i can answer the question more efficiently if you do.(bc i am aloud to edit my responce)thanks!
Step-by-step explanation:
Answer:
Step-by-step explanation:
PAT
k/5.2+81.9=47.2
please show work tysm
Answers
Answer:
/5.2 + 81.9 = 47.2
Step-by-step explanation:
Subtract 81.9 from both sides of the equation
Simplify
Subtract the numbers
Multiply all terms by the same value to eliminate denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Solution: k = -180.44
Simplify the expression: (2-k)+3(-4k+2)
PLEASE HELP NEED ASAP
Answers
Answer: -13k+8
Step-by-step explanation:
simplify
Answer:
8 - 13k
Step-by-step explanation:
(2 - k) +3( -4k + 2)
2 - k - 12k + 6
8 - 12k
PLZ HELP!!! ILL GIVE YOU BRAINLIEST
what is the unit rate for 176 students in 4 buses
Answers
Answer: 44 students per 1 bus
Step-by-step explanation: 176/4
Find the value of F(5) for each function.
f(a) = 3(a + 2) - 1
Answers
Answer:
20
Step-by-step explanation:
first plug it in, then solve. Step by step:
3(5 + 2) - 1
3(7) - 1
21 - 1
20
Which statement must be true to prove m<1 + m<2 + m<3 = 180
Answers
Answer: A. it’s parallel
Step-by-step explanation:
just did my test.
The statement that must be true to prove m∠1 + m∠2 + m∠3 = 180
m∠1 + m∠2 = 180 - m∠3
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
m∠1 + m∠2 = 180 - m∠3
m∠1 + m∠2 + m∠3 = 180
Thus,
m∠1 + m∠2 = 180 - m∠3 is m∠1 + m∠2 + m∠3 = 180.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Due in 10 minutes
Laaj made a Venn diagram to compare and contrast the two stages of cellular respiration.
Which belongs in the area marked X?
Energy is released.
Oxygen is used up.
Glucose is broken down.
Carbon dioxide is used up.
Answers
The one that belongs where the "x" is is "Oxygen is used up."
