Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
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]
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?
Let d = the amount that Drew has to save to help buy the gift.
Which equation can be used to solve the problem. Equation
How much money does Drew need to save so they could buy the gift?
on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
Which functions are symmetric about the y-axis? Check all of the boxes that apply. On a coordinate plane, a cosine curve has a maximum of 1 and minimum of negative 1. On a coordinate plane, a parabola opens to the right with a vertex at (0, 0) On a coordinate plane, a parabola opens up.
Answer:
1st box
3rd choice
Step-by-step explanation:
Those are the only choices that are symmetric about the y-axis
The 2nd choice isn't because it doesn't reflect over the y-axis
A graph is a way to represent a lot of data in a visual format. The functions that are symmetric about the y-axis are graphs 1 and graph 3.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The y-axis is the vertical axis of the graph, therefore, the functions that are symmetric about the y-axis are the graph of function 1 and the graph of function 3.
Hence, the functions that are symmetric about the y-axis are graphs 1 and graph 3.
Learn more about Graph:
https://brainly.com/question/14375099
#SPJ2
During a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 2 hours. What value represents the change in the temperature of the container each hour?Thank you
Answer:
general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.
Step-by-step explanation:
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
PLZ HELP!!!! solve for x
Answer:
64 degrees
Step-by-step explanation:
Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees
so first, combine 90 and 26 degrees
90+26= 116
then subtract 116 from 180
180-116= 64 degrees
adam wishes to have 25000 avalible in 18 years to purches a new car for his son as a gift for his highscho graduation. to accomplish this goal, how much should adam invest now in a CD that pays 1.38% interest compounded quaterly?
PLSSSSSS HELPPPPP ASAPPPP
Answer:
I believe its C
Step-by-step explanation:
If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
1. Write a story problem that includes both integers −8 and 12.
Answer: Pam has -8 dollars in her piggy bank she owns mark 12 dollars
Step-by-step explanation:
Find all zeros f(x) =x^4-x
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are
first one under C) 66, 64, 67, 65
under B) 24, 23, 26, 25
under A) 15, 16, 17, 18
lowest under C) 40, 41, 42, 39
Answer:
c is the right answer of this
Answer:
The first blank: 65
The second blank: 24
The third blank: 16
The last blank is: 41
Step-by-step explanation:
The Phthagorean theorm is as follows: c^2=a^2+b^2
Where a and b are the legs of the triangle and c is the hypotenuse
To fill in the first blank space you need to find c, and it's given a and b: a=25 b=60
You substitute the known values into the equation of the Pythagorean theorm: c^2=25^2+60^2
And solve to find c
c^2=4225
c=
[tex] \sqrt{4225} [/tex]
c=65
The answer for the first blank
For the second blank you given a and c: a=7 c=25
Substitute the value into Pythagorean theorm:c^2=a^2+b^2
25^5=7^2+b^2
625=49+b^2
To solve b you got to subtract 49 to both sides
625-49=b^2
576=b^2
[tex] \sqrt{576} = b[/tex]
24=b
Which is your answer
For the third blank its given b and c: b=30 c=34
Substitute the value into Pythagorean theorm
c^2=a^2+b^2
34^2=a^2+30^2
Solve the exponential terms: 1156=a^2+900
Then you solve the variable that you need to find. In this case, you got to solve a^2 by subtracting 900 of both sides of the equation:1156-900=a^2
256=a^2
[tex] \sqrt{256 = a} [/tex]
16=a which is your answer
Finally your last blank,its given the values and b
a=9
b=40
Substitute the value into Pythagorean theorm
c^2=9^2+40^2
And solve for c
c^2=81+1600
c^2=1681
[tex]c = \sqrt{1681} [/tex]
Which gives you c=41 which is your answer
Let me know if this helps
What is the answer to this??
How to solve the maze:
1. Start on the start space and complete the problem.
2. The answers are on the arrows but you have to choose the correct answer.
3. When the correct answer is chosen move to the next quest that the answer arrow is pointing to.
4. Complete answers as you go on until you reach the finish square!!
Please help me!! More points for solving.
Answer:
54, 32, 76, 72, 68, 29, 24,
Step-by-step explanation:
What expression has the same meaning as 2 7/4
Step-by-step explanation:15/4 also means 2 7/4 if that's what you mean.
Answer:
it s b) 4 2 the power of 7
Step-by-step explanation:
What is the principal square root of /25?
5
25
50
125
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
there are 5 classes with 22 students per class ordering pizza. one pizza feeds 5 people. witch of the following is a good estimation of how many pizzas are needed?
A.50 pizza's
B.150 pizza's
C.100 pizza's
D.30 pizza's
E.20 pizza's
Answer: 50 pizzas
Step-by-step explanation:
22 x 5 = 110
110 / 5 = 20
5 – x = 23 yea wth is this lol
Answer:
x=-18
Step-by-step explanation:
Answer:
x = -18
Step-by-step explanation:
5 - x = 23
5 - 5 - x = 23 - 5
-x = 18
-1x / -1 = 18 / -1
x = -18
Hope this helps and stay safe, healthy, and happy, thank you :) !!
ILL MARK U BRAINLIEST
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 20.28 cm^2
Explanation:
First find the area of the square!
7 x 2 = 14
then find the area of the circle!
We know that the DIAMETER of the circle is 4 because the total length of the square is 7 cm and there are 3cm of length on the sides of the circle
so 7-3 = 4
Then to find the area of a circle you need to use this formula:
r = radius
A = 3.14r^2
3.14(2)^2 = 12.57
Then you need to divide it by TWO because its a half circle!
12.57 / 2 = 6.285
14 + 6.285 = 20.28 cm^2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10
It is increasing by 11% for each application.
find the value of given expression
=》
[tex] \sqrt{901 - 5 + 4} [/tex]
Step-by-step explanation:
Answer is 30 I hope this help you
I would appreciate it if someone helped me:)
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
Team A and team B play in a competition Team A has 12 more points than team B Team A has twice as many points as team B How many points does each team have
Answer:
A = 24 points
B = 12 Points
Step-by-step explanation:
Team A and team B play in a competition
Team A has 12 more points than team B
A = B + 12
Team A has twice as many points as team B
A = 2B
We substitute
2B = B + 12
2B - B = 12
B = 12 points
Solving for A
A = 2B
A = 2 × 12
A = 24 points
Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures 24 inches in length, 10 inches in width, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top? Use paper to show your work.
Answer:
[tex]Volume = 960in^3[/tex]
Step-by-step explanation:
Given
Empty Tank
[tex]Length = 24in; Width=10in; Height = 12in[/tex]
When filled with water, the height is:
[tex]Height = 8in[/tex]
Required
Determine how many more cubic inches needed
First, we calculate the difference between the height of the tank and the height of the water.
[tex]H = 12in - 8in[/tex]
[tex]H = 4in[/tex]
The volume of water to full the tank is then calculated as:
[tex]Volume = Length * Width * H[/tex]
[tex]Volume = 24in * 10in * 4in[/tex]
[tex]Volume = 960in^3[/tex]
Leo is 13 3 4 years old. Sheila is 1 1 2 years older than Leo and Jane is 1 1 5 years older than Sheila. How old is Jane?
Answer:
16 9/20 years old
Step-by-step explanation:
Leo is 13 3/ 4 years old.
Step 1
Sheila is 1 1 /2 years older than Leo
Sheila = 13 3/4 years + 1 1/2 years
13 + 1 + ( 3/4 + 1/2)
Lowest common denominator 4
14 + ( 3 + 2/4)
14 + 5/4
= 14 + 1 1/4
= 15 1/4 years old
Jane is 1 1/ 5 years older than Sheila.
Jane's age = 15 1/4 years old + 1 1/5 years
15 + 1 + (1/4 + 1/5)
Lowest common denominator = 20
16 + (5 + 4/20)
16 9/20 years old
Therefore, Jane is 16 9/20 years old
what is this question called?
Answer:
It should be Ratio and Proportions .
Answer:
Step-by-step explanation:
a proportion. Both ratios are the same thing. If you divide 15000 by 30 you get 500
If you divide 210 by 30, you get 7
It is always true that a proportion will have equal equal ratios on either side of the equal sign.
⅚–⅓ what is the answer to this fraction
Answer:
5×3-6×1/6×3=15-6/18=9/18=9
Answer:
5/6-1/3
taking LCM
(5-2)/6=3/6=1/2 is your answer
Jordan baked 4 apple pies. She wants to share them equally among 3 of her neighbors. What fractional part of the pies will each neighbor get?
A. 3/7
B. 3/4
C. 1 1/3
D. 2 1/3
Answer:
C.
Step-by-step explanation:
1 1/3 as an improper fraction is 4/3.
Please make me the brainliest
The polygons to the right are similar. Find the value of each variable. (Simply your answers.)
x = ___
y = ___
Answer:
x=15
y=8
if the triangles are proportional, then the smaller triangle is half the size of the large triangle
A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP
Find the equation of the line.
Answer:
y=11x-18
Step-by-step explanation:
y=11x+b (b is the unknown y-int)
to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*
y=11x+b
4=11(2)+b
4=22+b
b=-18
the equation of the line:
y=11x-18