Answers
Answer:
q = 4.9
m∠R = 27.1°
m∠S = 136.9°
Step-by-step explanation:
To solve the triangle we will use the cosine rule and the sine rule
In the given triangle
∵ q is the opposite side of ∠Q
∵ s is the opposite side of ∠S
∵ r is the opposite side of ∠R
∵ m∠Q = 16°
∵ r = 8 and s = 12
→ By using the cosine rule to find q
∴ q² = r² + s² - 2 r s cos∠Q
→ Substitute the values of r, s, and ∠Q in the rule above
∵ q² = (8)² + (12)² - 2(8)(12)cos(16°)
∴ q² = 23.43775438
→ Take √ for both sides
∴ q = 4.841255455
→ Round it to the nearest tenth
∴ q = 4.9
→ To find angles R and S we will use the sine rule
∵ [tex]\frac{r}{sin(R)}[/tex] =[tex]\frac{q}{sin(Q)}[/tex] = [tex]\frac{s}{sin(S)}[/tex]
→ Use the first two ratios to find m∠R
∵ [tex]\frac{8}{sin(R)}[/tex] = [tex]\frac{4.841255455}{sin(16)}[/tex]
→ By using cross multiplication
∴ 4.841255455 × sin(R) = 8 × sin(16)
→ Divide both sides by 4.841255455
∴ sin(R) = 0.4554807874
→ Use [tex]sin^{-1}[/tex] to find m∠R
∵ m∠R = [tex]sin^{-1}[/tex] (0.4554807874)
∴ m∠R = 27.0958732
→ Round it to the nearest tenth
∴ m∠R = 27.1°
∵ The sum of the measures of the angle in a triangle is 180°
∴ m∠S + m∠Q + m∠R = 180°
→ Substitute the values of m∠Q and m∠R
∵ m∠S + 16° + 27.1° = 180°
∴ m∠S + 43.1 = 180
→ Subtract 43.1 from both sides
∴ m∠S = 136.9°
Related Questions
Pls help. I will name you branliest if the answer is correct. (Look at the picture)!!!!
Answers
Liz and Larry are arguing over who makes better chocolate chip cookies. Liz likes to use 3 cups of brown sugar for every 8 cups of flour. Larry prefers to use 2 cups of brown sugar for every 5 cups of flour. Do Liz and Larry use the same ratio of brown sugar to flour?
Answers
Answer: No, they don't.
Step-by-step explanation: Liz uses a 3 to 8 ratio of brown sugar to flour while Larry uses a 2 to 5 ration of brown sugar to flour. I hope this helps!
Answer:
The answer is no
Step-by-step explanation:
It is imposibble for Liz and Larry to use the same ratio of brown sugar to flour,
The rotio of liz cup = 3:8
the ratio of larry = 2:7
The ratio of liz cup is greater than the ratio of larry.
so they are deffinetly not the same ratio,
therefore the answer is No
Hope this helps,
have a great day
Which system of linear inequalities is represented by the graph?
y > x – 2 and y x + 1
y x + 1
y > x – 2 and y < x + 1
Answers
Answer:
y < x – 2 and y > x + 1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If the sum of base angle of isosceles triangle
is 88° calculate the other angle
Answers
Answer:
92
Step-by-step explanation:
The sum of the three angles of a triangle is 180
We know the sum of the base angles is 88
180 = 88+x
180 -88 =x
92=x
The other angle is 92
Answer:
92°is other angle of isosceles triangle
E QUESTION ONE
Solve the proportion—Show all work.
5
x 1 W
=
65
X Х
XX
Answers
Answer:
x=39
Step-by-step explanation:
3/x = 5/65
5x=195
x=39
Answer:
39
Step-by-step explanation:
the first word is first
Answers
Answer and Step-by-step explanation:
We are told to solve for x.
A)
Subtract 3 from both sides tp get x by itself.
x = 5
B)
Add 5 from both sides tp get x by itself.
x = 12
#teamtrees #WAP (Water And Plant)
Step-by-step explanation:
a) x+3=8
x=8-3
x=5
b) x-5=7
x=7+5
x=12
hope it helps.
Order the numbers from least to greatest.
50. -0.61, -3/5, -4/3, -1.25
51. 3.25, 3 2/10, 3, 3.02
52. 1/2, -0.2 -7/10, 0.04
Answers
Answer:
I don't know. (jk!!!)
Step-by-step explanation:
50) -1.33, - 1.25, -0.61, - 0.6
51) 3.02, 3,25, 3.2
52) -0.7, - 0.2, 0.04,0.5
√2/k+√2=1/k-√2 leaving your answer in the form p+m√n
Answers
Answer: in decimal form=0.14644660
Step-by-step explanation:
HELP QUICK
Write the equation of a line that is parallel to the graph of 3y = 2x − 3 and passes through the point
(−3, 4).
Answers
Answer:
y = 2/3x + 6
Step-by-step explanation:
First, put the original equation in y = mx + b form
3y = 2x − 3
y = 2/3x - 1
The slope of the other line will also be 2/3, since parallel lines have the same slope.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
4 = 2/3(-3) + b
4 = -2 + b
6 = b
Plug in the slope and b:
y = 2/3x + 6 is the equation of the line
What is the probability of rolling at least one six in three rolls of die
Answers
Answer:
91/216
Step-by-step explanation:
Answer:
.5% Chance
Step-by-step explanation:
Help plss..................
Answers
The equation of a line that passes through points (0, 2) and (-2,0) is y=1x+2
Lins father is paying for a $20 meal. He has a%15 off coupon for the meal. After the discount, a 7% sales tax is applied. What does Lin's father pay for the meal
Answers
Answer:
he pays $18.19 hope this helps have a nice day please give me brainliest
Step-by-step explanation:
Answer:
$14.55
Step-by-step explanation:
First you determine how much 15% of 20 is. That is $3.
Then you subtract that much from 20 (which is $17.00)
Then you figure out how much 7% of 17 is. That is $1.19.
Finally, you add the tax to $17.00 to get $18.19.
Final Answer: $18.19
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answers
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
A rectangle is 1 cm more than twice its width. Find the dimensions of the rectangle if it’s area is 45 cm show all work
Answers
Answer:
Step-by-step explanation:
L=2W+1
A=L*W
A=(2W+1)*W=45
We have two mathematical solutions, but only one viable
2W^2+W=45
w=-5 not valid
w=4.5 cm valid solution
L=10cm
write two different word phrases that mean the same thing, but stated differently.
6x + 5 = 17
Answers
Six times a number plus five is equal to seventeen.
Five added to the product of six and a number is seventeen.
Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale for 30% off the regular price. The sales tax is 7%.
9) What is the sale price?
Answers
Answer:
Numbers
Step-by-step explanation:
Solve the trig. equation for all angles between 0-360.
2cos²θ=1
Answers
There are 21 jars of peanut butter for sandwiches. Each sandwich uses 1/5 of a peanut butter jar. How many sandwiches can be made from all the peanut butter?
Answers
Answer: 105 sandwiches can be made from all the peanut butter.
Step-by-step explanation:
Given: Total jars of peanut butter = 21
Part of peanut butter required for each sandwich = [tex]\dfrac15[/tex]
Total number of sandwiches made = ( Total jars of peanut butter ) ÷ (Part of peanut butter required for each sandwich)
[tex]=21\div\dfrac15\\\\=21\times5\\\\=105[/tex]
Hence, 105 sandwiches can be made from all the peanut butter.
Jason and Mary will usually both run 4 miles each time they go running. This month, Jason ran an additional 15 miles. Which answer choice shows an expression that represents the total distance Jason and Mary ran this month if J = the number of times that Jason ran and m = the number of times that Mary ran? Answer Choices: 4j+4m+15, 8j + 8m + 15, 19j + 19m, 4j +19. Please answer if you know
Answers
Answer:
4j+4m+15
Step-by-step explanation:
jason+mary= 4 miles which= 4j+4m
jason ran additional 15 miles= +15
х
—3
—1
1
4
8
10
у
14
10
6
0
?
—12
Answers
Answer:
I believe it would be the last table.
Step-by-step explanation:
What is 12x*13q=?
.
.
.
.
.
.
.
.
.
Answers
Answer:
156 as per the question
Answer:
156xq
Step-by-step explanation:
12⋅13
156
URGENT HELP HUSHGAHUHGHJBJB!!!!!!!!!!!!!!!!!!!!!!!!!!!
$0.35 is what percent of a dollar?
Answers
Answer:
35%
Step-by-step explanation:
Becasue in a dollar there are 100 pennies. 0.35 times 100 would be 35
Answer:
35%
Step-by-step explanation:
If a dollar is 100 cents and you have 35 cents, then 35 cents would be 35% of a dollar.
Given: ∠ABC is a right angle and ∠DEF is a right angle.
Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.
What are the missing reasons in the steps of the proof?
A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.
A:
B:
C:
Answers
Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
PLEASE HURRY!
Each statement describes a transformation of the graph of y= x.
Which statement correctly describes the graph of
y= x - 8?
A. It is the graph of y= x translated 8 units to the left
B. It is the graph of y= x translated 8 units up.
C. It is the graph of y=x translated 8 units down.
D. It is the graph of y=xwhere the slope is decreased by 8.
Answers
Answer:
c
Step-by-step explanation:
its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
Answers
:)3/100 is the correct answer
What is 1/2x+1.5-2-7 simplified
Answers
i need the answer shown on a graph
Answers
Answer:
i have no idea try to use m a t h w a y
Step-by-step explanation:
4a2 – 21a + 20
4a
5
a
4a2
5a
4
16a
20
80a2
(4a + 5)(a + 4)
Answers
Answer:
5 a
Step-by-step explanation:
How many times as many circles will there be at stage 21 compared to stage 20
Answers
Answer:[tex]2^{10}\ circles[/tex]
Step-by-step explanation:
Given
Stage 20 has [tex]2^9[/tex] circles
Considering at each consecutive stage circle doubles itself
So at stage 21, there will be [tex]2\times 2^9=2^{10}[/tex] circles
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
What is the y-intercept of this function?
2.25
4.00
6.50
17.13
Answers
Answer:
4.00
Step-by-step explanation:
Given
x: 2 , 5 , 8 , 12
y: 8.50, 15.25, 22.00. 31.00
Required
Determine the y intercept
First, we calculate the slope:
[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,8,50)[/tex]
[tex](x_2,y_2) = (12,31.00)[/tex]
[tex]m = \frac{31.00 - 8.50}{12 - 2}[/tex]
[tex]m = \frac{22.5}{10}[/tex]
[tex]m = 2.25[/tex]
Next, we calculate the equation:
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (2,8,50)[/tex]
[tex]m = 2.25[/tex]
The equation becomes:
[tex]y - 8.50 = 2.25(x - 2)[/tex]
[tex]y - 8.50 = 2.25x -4.5[/tex]
Make y the subject
[tex]y = 2.25x -4.5+8.50[/tex]
[tex]y = 2.25x +4[/tex]
Take [tex]x =0[/tex]; to get the y intercept
[tex]y = 2.25*0 +4[/tex]
[tex]y = 4[/tex]
Hence, the y intercept is 4.00
Answer:
The answer is B
Step-by-step explanation: