Answer:
This relation is a function
3rd answer
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]
A tessellation has 2 pairs of congruent angles around the point of intersection. The measure of each of one pair of congruent angles is 28∘. What is the measure of each one of the other pair of congruent angles? The measure of each one of the other pair of congruent angles is
9514 1404 393
Answer:
152°
Step-by-step explanation:
If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.
The measure of each angle in the other congruent pair is 152°.
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
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
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
Which equation has infinitely many solutions?
5(2x + 4) = 10x – 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)
Answer:
5(2x + 4) = 10(x + 2)
Step-by-step explanation:
answer is 0 so it has infinite solutions
Help me with this!!!!
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.
Please help me solve this algebraic expression
Answer:
m^3 + 3m, I simplified.
A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.
Answer:
I think C. because that will be easier and less chaotic
can 4x+35 be factored? yes or no
Answer:
no it is not able to be factored
Solve for x: 6x + 1 = -23
Answer:6x=-23 - 1
6x=-24
X=-4
Step-by-step explanation:
The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
slope intercept form of points (0,4) and (1,3
Answer:
y = -x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4-3)/(0-1)
= 1 /-1
= -1
The y intercept is (0,4) or 4
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -x+4
Evaluate the expression n^2-16
Question 10 of 20. POOS The dimensions of a right rectangular prism are shown below. 1 in. How many cubes with side lengths of inch are needed to fill the prism without gaps or overlaps? 36 cubes 91 cubes 216 cubes 546 cubes
Answer:
546
Step-by-step explanation:
From the attached picture ;
Volume of a rectangular prism = (width * length * height)
Volume = 2 1/6 * 1 1/6 *1
Volume =. 13/6 * 7/6 * 1
Volume = 91 / 36 in³
Side length, a of cube = 1/6
Volume of cube = a³ = (1/6)^3 = 1/216
(91/36) ÷ 1/216
91/36 * 216/1
91 * 6 = 546
Answer:
546
Step-by-step explanation:
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!
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
hi im confused with this one question its about properties and exponents on math i really need help:(
En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?
Answer:
Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Step-by-step explanation:
De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:
8700*35,10%=3054
8700*64,9%=5646
De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Look at the triangles shown below.
с
xlam
А
3 D
6
E
Which statement is true?
(x + y)
O Since AAEC ~ ADB according to the side-angle-side similarity postulate, then
2 6
x (x + y)
O Since AAEC ~ AADB according to the side-angle-side similarity postulate, then
2 Z
9 3
O Since AAEC - AADB according to the angle-angle similarity postulate, then
x
6 3
O Since AAEC ~ AADB according to the angle-angle similarity postulate, then
(x + y)
(x + y)
x
Answer:
I believe it is:
Since △AEC~△ADB according to the angle-angle similarity postulate, then 9(x+y)=3x9(x+y)=3x.
Step-by-step explanation:
IF ME is a diameter, the length of TE is 6, and the length of MT is 8, what is the EXACT circumference of circle D?
Answer:
10π
Step-by-step explanation:
Since ME is the diameter of the circle,
angle MTE = 90° (∠ in semicircle)
By pyth. theorem we can obtain,
ME = √8² + 6²
ME = 10
The diameter of the circle is 10
The circumference of circle D is 10π
Answer:
<MTE =90°
the inscribed angle from the diameter is 90°
in triangle MTE
MT=8 unit
TE=6unit
by using Pythagoras law
D=ME=√(8²+6²)=10 unit
radius =D/2=10/2=5unit
circumference of circle D=2πr=2π×5=10π or31.4unit
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.
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.
Answer:
3
Step-by-step explanation:
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
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
The dot plots below show the distributions of scores on a current events quiz for two classes of 24 students. Write a description of the standard deviation of the scores in each of the classes. Based on the spread of the data, which class performed better on the quiz.
Answer:
5
Step-by-step explanation:
5
Total amount = P (1 + i)t Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20070
Step-by-step explanation:
Given data
Time= 5 years
Principal= $15,000
Rate= 6%
Total amount= P (1 + i)^t
substitute
Total amount= 15000(1 + 0.06)^5
Total amount= 15000 (1.06)^5
Total amount= 15000*1.338
Total amount= $20070
Hence the total amount will be $20070
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
4( 2x-1) =3( 2x+1) = -2