Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded by x foet. Select all the expressions that
일
represent the area of the living room in square feet.
Answer:
You simply just do 12 multiplied by 10 which will give you 120m^2
the perimeter of a square piece of confetti is 28 mm. how long is each side of the piece of confetti?
Answer:
14 mm
Step-by-step explanation:
perimeter of a square is a + b
and all sides are equal to each other since its a square
therefore it is 14 mm each
Ian paints /8 of a fence. Anna paints 3/4 of another fence. Draw a number line to show that Ian and Anna have painted the same amount of each fence.
Answer:
See attachment for number line
Step-by-step explanation:
Given
[tex]Ian = \frac{6}{8}[/tex]
[tex]Anna = \frac{3}{4}[/tex]
Required
Number line to represent both amounts
The interval on the number line is 16.
So, we need to calculate the position of both as thus.
[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]
[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]
So, both will be positioned on the 12th position.
The yellow dot represents Anna while the blue dot represents Ian
See attachment for their position on the number line
Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation:
Since 6 is not a prefect square the square root of 6 is rational?
Answer: The square root of 6 is IRRATIONAL.
Answer:
True is 11/13 and -20 are rational
Step-by-step explanation:
Write the equation
equation in standard form
X^2-1/X+1=2
Answer:
We start with the equation:
(x^2 - 1)/(x + 1) = 2
We want to rewrite this in standard form.
We can multiply both sides by (x + 1) to get:
((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)
x^2 - 1 = 2*(x + 1) = 2*x + 2
Now we can move all the terms to one side to get:
x^2 - 1 - 2 - 2*x = 0
x^2 - 2*x - 3 = 0
And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:
[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]
Then the two solutions are:
x = (2 + 4)/2 = 3
x = (2 - 4)/2 = -1
Chris is using the expression
m/8n
What is the value of the expression when m=4 and n=1/2
Answer:
1
Step-by-step explanation:
We plug in 4 for m and 1/2 for n.
[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1
Hope this helped!
A wheel is made of a circular rim and 8 spokes as shown.
The length of each spoke is 37cm
WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.
Answer:
528.6
Step-by-step explanation:
find the circumference of the circle using:
πd: 22/7*74
add the length of the 4 strokes: 37*8
add the two:
Answer:
528.48cm
Step-by-step explanation:
Total length of all the spokes
37cm*8 = 296cm
Length of the circular rim
2πr = Circumference
2(37)π = 74π
74π = 232.48cm
Overall Length
232.48cm + 296cm = 528.48cm
Someone pls help tysm if you do!! Im new to this :D
Answer:
the answer is -29
Step-by-step explanation:
Hope this helps have a good rest of your day :)
Answer:
I think its -15
Step-by-step explanation:
you take -7 and add it to -22 but since it's a negative + a negative it should equal a positive so you just normally subtract -7 from -22 and get -15
Drag the vertices of the triangle below to draw a right triangle with side lengths 10, 24, and 26.
16
15
Answer:
15 ? :)
Step-by-step explanation:
plsss help i’ll give brainliest if you give a correct answer
Answer:
y=15
Step-by-step explanation:
Answer:
y=15
Step-by-step explanation:
To find y:
8y=120 –––Divide both sides by 8 so you can get y alone
y=15
Evaluate (61/2.3-2/3)6
Answer:155.130435
Step-by-step explanation:
Simplify the following expression 5(5c+1)
Step by step explanation
Answer:
25c+5
Step-by-step explanation:
Multiply 5 with every term inside the bracket, so 25c+5
Can you guys help? Thx
Answer:
a
Step-by-step explanation:
Answer:
8 cm
Step-by-step explanation:
[(x+5)*2.5]/2 = 16.25
(x+5)*2.5 = 32,5
2.5x + 12,5 = 32,5
2.5x = 20
x = 8
please help me and solve these, i will give brainliest and worth 25 points!!
Answer:
1. 168 cm^{2}
2. 156 in^{2}
3. 30 cm^{2}
4. 360 ft^{2}
Step-by-step explanation:
All ratio questions. We can set up proportions then cross multiply
1. \frac{8}{12} \frac{112}{x}
8x = (112 x 12)
8x = 1344
x = 168m
2.\frac{4}{8} \frac{78}{x}
4x = (78 x 8)
4x = 624
x = 156in
3. \frac{5}{2} \frac{75}{x}
5x = (75 x 2)
x = 30cm
4. \frac{8}{10} \frac{288}{x}
8x = ( 288 x 10 )
8x = 2880
x =360ft
Tia, Veronica, Pam, and Lily are sisters. Tia is 8 years old and she is 2 years older than Pam. Pam is 5 years younger than Veronica and Veronica is 4 years younger then Lily. Which list has the sisters in order from youngest to oldest?
Answer:
Pam 6
Tia 8
Veronica 11
Lily 15
Step-by-step explanation:
Tia's age = 8
Pam's age = Tia's age - 2
8 - 2 = 6
Veronica = pam's age + 5
6 + 5 = 11
Lily's age = veronica's age + 4
11 + 4 = 15
la solución de una ecuación cuadrática representa los interceptos en x, cierto o falso?
Answer:
La respuesta es falso
Step-by-step explanation:
Espero que esto ayude a marcar el MÁS CEREBRAL !!!
(HELP ASAP)Select the graph which best represents this scenario:
The amount of pancake batter that you must mix increases
with the number of people who come to breakfast. It takes
3 cups of batter to serve 10 people.
(More context in the picture)
Answer:
Line A
Step-by-step explanation:
Line A is the line of best fit because it intersects the point (10,3) on the graph while the others do not.
The radius of a circle is 12 millimeters. What is the circle's circumference? r=12 mm Use 3.14 for .
Answer:
Circumference =
Step-by-step explanation:
The equation for finding the circumference of a circle is: C=2πr
All we need to do is plug in for r of the equation (which is the radius) and solve.
C = 2(3.14)·12
C = 6.28 · 12
C = 75.36 mill.
That is the circumference.
Please let me know if you need any more help. I'm always happy to help!
Find the average of the following numbers:
2,4,6 and 8.
Pls help asap
Answer:
5
Step-by-step explanation:
( 2 + 4 + 6 + 8) / 4 = 5
Step-by-step explanation:
2+4+6+8=20
numbers of digits=4
average=sum of observation/numbers of observation
average=20/4=5
MARK ME AS A BRAINLIST, sister
CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
MARKING BRAINLIST AND GIVING 50 PONITS . DONT ANSWER IF U DONT KNOW PLEASE .
Answer:
I gotchuThese are all fractions btw.11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!
Answer:
11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
those are you answers... you can mark the other guy brainliest i have enough
Step-by-step explanation:
PLZ HELP WILL MARK BRANLIEST (No dum answers or I will delete your question - seriously don't be annoying)
Use the (x,y) coordinates in the figure to find the value of tan (2(pi)/3) or state that the expression is undefined.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
A. tan(2π/3) = [tex]-\sqrt{3}[/tex]
Help me I’ll give you good rating and make you branliest
Answer:
answer is 8
Step-by-step explanation:
Area= LxW (length times width)
length is 4 width is 2
4x2 equals 8
simplify. draw a box. multiply the binomials together and simplify.
Answer:
D(last answer choice)
Step-by-step explanation:
(5x-6)(3x+4)
Foil it out to get:
[tex]15x^2+20x-18x-24[/tex]
This simplifies to:
[tex]15x^2+2x-24[/tex]
What is the effect on the graph of f(x)=|3x−4| when it is replaced by f(x)+3 ?
A
translation left 1 unit
B
translation up 3 units
C
translation down 1 unit
D
translation right 3 units
Answer:
b
Step-by-step explanation:
A collection of all points in the plane of the form [tex](x, f(x))[/tex] is the graph of a function f. The graph of f is defined as the graph of the equation [tex]y = f(x)[/tex].
Graph function calculation:Graph
[tex]\to[/tex] f(x)=|3x−4|
[tex]\to[/tex] f(x)+3 =?
putting the [tex]f(x)[/tex] value into the [tex]f(x)+3[/tex] and calculate the given value:
[tex]\to[/tex] |3x-4|+3
[tex]\to[/tex] 3x-4+3
[tex]\to[/tex] 3x-1
Therefore, the final answer is "Option B".
Find out more about the graph function here:
brainly.com/question/15165011
simplify : 3p+2p+8-3=15
Answer:
3p+2p+8-3=15
5p+5-15=0
5p-10=0
5(p-2)=0
(if you want to solve it p=2)
write the following number in standard form
3.45 x 10^-4
Simplify the ratio : 72:16:32
What is ans
Answer:
9 : 2 : 4
Step-by-step explanation:
Given
72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )
= 9 : 2 : 4
find the area of the shape (round to nearest tenth if necessary )
Answer:
still
Step-by-step explanation:
still thinking sorry
solve for X. please help, thanks
Answer:
it would be 20 ( I am pretty sure this is correct )