Answers
Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(B)}{5} = \frac{sin(120)}{11} [/tex]
Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11
[tex] sin(B) = \frac{sin(120)*5}{11} [/tex]
[tex] sin(B) = \frac{sin(120)*5}{11} [/tex]
Sin(B) = 0.3936
B = [tex] sin^{-1}(0.3936) [/tex]
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(36.8)}{a} = \frac{sin(23.2)}{5} [/tex]
Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)
[tex] a = \frac{5*sin(36.8)}{sin(23.2) [/tex]
a = 7.60294329 ≈ 7.6 (nearest tenth)
Related Questions
NEED HELP FOR TEST!!!
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. B. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?
Answers
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
You may find using a number line to be helpful. Enter your answer as a simplified mixed number, if necessary.
4(− 2/3 ) =
Answers
Answer:
-2 2/3 or as a mixed number -8/3
Step-by-step explanation:
Answer: -2 2/3
Step-by-step explanation:
The product of 4 and triple the number 2
Answers
Answer:
32
Step-by-step explanation:
4 x 2 x 2 x 2 = 32
There is 20% of a 50lb. Bag of dog food left. How much has been used?
Answers
Answer:
40 lbs was used
Step-by-step explanation:
If there is 20% left, that means 80% was used
50 *80%
Change to decimal form
50 *.80
40
40 lbs was used
What is the radius of the following Circle?
7 in
O
9 in
14 in
28 in
3.5 In
Answers
Hello!
This is strange. It seems to give you the answer.
I am assuming your teacher would just like you to identify what a radius is.
All the same, I'll let you know the equation for finding a radius.
r= d × 2 (D is equal to diameter, and r to radius)
If you were given the diameter,, you would simply multiply it by 2 to get your radius.
The correct answer to your question is:
7 inches.
waffletowne
what expression has a term with a base of 8
z^8
8^4
3xy+8
8m
Answers
A number cube with the numbers 1 through 6 is rolled. How many total number of outcomes are there?
total number of outcomes
Answers
Answer:
6 outcomes
Step-by-step explanation:
If a number has the numbers 1-6, the sample space, or the number outcomes would be 6.I hope this helped! =)what is the missing value 4+9=9+?
Answers
Answer:
TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭
[tex]4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x[/tex]
=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.
The missing Value is 4.
What is Commutative property?According to the commutative property, the numbers on which we operate can be swapped out or moved without affecting the result. Subtraction and division are not supported by the property, but addition and multiplication are.
Given Expression
4 + 9 = 9 + ?
According to Commutative property
A + B = B + A
for expression
4 + 9 = 9 + 4
or let missing number be x
4 + 9 = 9 + x
x = 4 + 9 - 9
x = 4
Hence the missing value is 4.
Learn more about Commutative property;
https://brainly.com/question/778086
#SPJ2
Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?
Answers
Answer:
Measure of E'F' = 9
Step-by-step explanation:
If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.
Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]
E'F' = [tex]\frac{3}{4}\times 12[/tex]
= 9
Therefore, measure of side E'F' will be 9.
Rosa made a mosaic wall mural using 46 black tiles, 35 blue tiles and 19 red tiles.
Enter a percent to represent the number of red tiles in the mural.
The number of red tiles in the mural represents
%
What is the answer
Answers
Answer:
21%
Step-by-step explanation:
What is the answer to this problem?
Answers
Answer:
wow very much hard lol I wish I could help
Answer pls it’s due at 3
Answers
Answer:
24
Step-by-step explanation:
3*8 = 24
Find the length of the segment below round to nearest tenth
Answers
If you have 10 tennis players in a round-robin tournament. How many games will they need to play before each player has played every other player?
Answers
Answer:
6
Step-by-step explanation:
i just had the same question :)
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 60°, what is the
measure of ZQRS?
mZQRS = [?]°
Answers
Answer: [tex]120^{\circ}[/tex]
Step-by-step explanation:
Supplementary angles add to 180 degrees.
giving brainlist and ten points just say wether the answer is a b c or d!
Answers
Answer:
A. x > 3
Step-by-step explanation:
have a nice day!
find the y intercept on a graph
Answers
find area round to nearest tength I’ll mark brainest
Answers
Answer:
12.5 sq. units
Step-by-step explanation:
Divide the blue triangle into two smaller triangles.
The length of their common base = 5 units
The height of the yellow triangle = 2 units
The height of the red triangle = 3 units
The area of the yellow triangle
= (5×2)÷2
= 5 sq. units
The area of the red triangle
= (5×3)÷2
= 7.5 sq. units
The total area
= 5+7.5
= 12.5 sq. units
320÷÷((11−9)32(11−9)32) x 8 =
Answers
320÷((11−9)32(11−9)32) x 8
320÷((352-288)(352-288) x 8
320÷(64 x 64) x 8
320÷4096 x 8
0.078125 x 8
0.625
Answer:0.625
3.14(10)^(2)12
I cant figure this out
Answers
3.14(10)^2(12)
answer=3768
What is the decimal equivalent of the fraction 8/15?
0.53
_
0.53
Show work!!
Answers
9514 1404 393
Answer:
0.533... (repeating)
Step-by-step explanation:
You will notice that the division problem repeats when the quotient digit is 3. The decimal equivalent is a repeating decimal with a 1-digit repeat. That digit is 3.
[tex]\dfrac{8}{15}=0.5\overline{3}[/tex]
Answer:
0.5333333…. (3 repeated)
Step-by-step explanation:
8 goes on the inside of the house and 14 on the outside
*Not my handwriting. A friend wrote it and I did the math*
3. A rectangular prism has dimensions of 1/2 , 2, and 7/2 in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.
Answers
Answer:
A
Step-by-step explanation:
B.In
geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
C.4 cubes is have
I hope it helps
URGENT PLZ HELP
find measure angle LMN
Answers
Answer:
(14.3/(2*bi*h)) * 360
Use the calculator
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ф = s / r
Ф = 14.3 / 5
Ф = 2.86 radians
2.86 * 180 / [tex]\pi[/tex] = 163.865924 °
Can i have help I am stuck =(
Answers
Answer:
There are 64 cubes
The volume = L*W*H
PLEASE ASNWER ILL GIVE YOU BRAINLIEST
Answers
Answer:
33 1/3%
Step-by-step explanation:
(672 - 600) / 4 = 72 / 4 = $18, which is 33 1/3%
Hope that helps! A Brainliest would be appreciated :)
Answer:
3%
Step-by-step explanation:
1) 672-600=72 = the simple interest
2) 72=600(4)r which equals 72=2400r
3) divide 72 by 2400 which get 0.03
4) 0.03 = 3%
what is the area of 12 1/2 yards by 17 1/5 yards
Answers
Answer:
The answer is more easily found if we convert the measurements to decimal.
It is now 12.5yards by 17.20 yards
= 12.5 x 17.2 = 215 square yards
Step-by-step explanation:
What is 1+1+3x3x3x3x3x90+2
Get all my points
Answers
If a varies inversely with b, and a=20 when b=1/4, find the equation that relates a and b
Answers
Answer:
Step-by-step explanation:
280ora
Someone please help with question 6 part a) and b) plsss I’m in a test!!!!
Answers
Answer: The triangles are congruent by the ASA similarity theorem.
Answer:
hi
Step-by-step explanation:
i think so,a)congruent
b)ASA
hope it helps
have a nice day
Adidas NMDs cost $120. You have a 15% off coupon. What is the discounted price before tax?
Answers
The cost:$120
Discount:15%
15/100*120
=$18
So you will have to pay( exclusive of taxes): 120-18
=$102
Answer:102
Step-by-step explanation:
I got it right