Answer:
74.0°
Step-by-step explanation:
In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.
Using sine rule, we can find ∠K:
[tex]\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\[/tex]
A central angle measures 270 degrees . If the radius of the circle is 12 cm , what is the length of the arc intercepted by the central angle ?
Answer:
12 R cm
Step-by-step explanation:
Tim is constructing a triangle with sides measuring 3 inches and 6 inches. Which could not be the length of the third side? A 2 in. B 4 in. C 6 in. D 8 in.
File is attached to question
7+
2-
3+
3-
-
7+
1-
4
Answer:-15
Step-by-step explanation:
Answer:
umm... thirteen....
13
i need help pleaseee .
Answer:
3.78 yd
Step-by-step explanation:
Rectangle area = length x width
a = (w+10)*w = w² + 10w = 52
w² + 10w - 52 = 0
w = (-10 ± √10²-4*1*(-52)) / 2 = (-10 ± √308)/2 = (-10 ± 17.55)/2
width must be positive: w = (-10 + 17.55)/ 2 = 7.55/2 = 3.78
On three days, Ben throws darts at a target.
Here are his results.
Number of throws
Number of hits
Number of misses
40
30
10
30
18
Monday
Tuesday
Wednesday
Total
12
50
36
14
120
84
36
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
Answer:
[tex]P(Hits) = 0.70[/tex]
Step-by-step explanation:
Given
[tex]Throws = 120[/tex]
[tex]Hits = 84[/tex]
[tex]Miss = 36[/tex]
See attachment for result
Required
Determine the probability of hitting the target
This calculated using:
[tex]P(Hits) = \frac{n(Hits)}{n(Throws)}\\[/tex]
[tex]P(Hits) = \frac{84}{120}[/tex]
[tex]P(Hits) = 0.70[/tex]
Hence, the probability of hitting the target is 0.70
A container is in the shape of a cuboid the cuboid is 2/3 full of water a cup holds 275 ml of water what is the greatest number of cups
Answer:
12 cups
Step-by-step explanation:
The first step is to calculate the volume of the cubiod
= 36 × 6 × 23
= 4968
= 4968/3 ×2
= 1656×2
= 3312
Therefore the greatest number of cups can be calculated as follows
= 3312/275
= 12
Hence the greatest number of cups is 12 cups
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest. Show your work.
Answer: 15
Step-by-step explanation: Ellen
Answer:
$15
Step-by-step explanation:
The equation h=60-4m gives the height h (in inches) of the water in a tank m minutes after it starts to drain
Answer:
40m
Step-by-step explanation:
Complete question
The equations h = 60 - 4m gives the height h (in inches) of the water in a tank m minutes after it starts to drain. How high is the water after 5 minutes.
To get the height of the water after 5minutes, we will find h at when m = 5
h = 60 -4 (5)
h = 60 - 20
h = 40m
Hence the water is 40m high after 5minutes
Please do number 15 for me
Answer:
C
Step-by-step explanation:
2x -15 +3x -5 = 180
5x -20 = 180
5x = 180+20 = 200
x = 200/5 = 40
3x -5 = 3(40)-5 = 120-5 = 115
2x -15 = 2(40) - 15 = 80-15 = 65
un auto de carreras puede frenar a razón de -8.0m/s2.
a.si viaja a 38m/s,¿cuantos metros recorrerán antes de detenerse.?
b.¿cuantos metros recorrerán si viaja a 75m/s?
Answer:
25 i used g00gle trans
Step-by-step explanation:
It says solve for the variable I do t understand
Answer:
x=11
Step-by-step explanation:
[tex]6x - 2y = 18[/tex]
what is the answer
Answer:
x could be 3 and y could be 0
x=3
y=0
Step-by-step explanation:
need the whole question, unless there are multiple correct answers
Answer:
x = 4 and y = 3
Step-by-step explanation:
HELP ANOTHER ONE, Need anwser before time runs out...
Answer: 0
Step-by-step explanation:
I need the answer to this it’s so hard I’d appreciate the help a lot
Graph the line y = x + 6.
To graph a line, plot any two points on the line.
Your Graph would look like this
Step-by-step explanation:
PLSSS HELP
correct answer get brainliest
In 1971, the average price of gasoline was $0.36 per gallon. In 2020, the average price of gasoline was $2.32 per gallon. a. What is the percent increase, rounded to the nearest whole number, in the cost of a gallon of gasoline from 1971 to 2020? b. What is the percent decrease, rounded to the nearest whole number, in the cost of a gallon of gasoline from 2020 to 1971? 2. Last year, DeKalb Middle School had 140 7 thgraders. The number of 8 thgraders was 125% of the number of 7 thgraders. How many 8 thgraders were there last year? 3. Find the balance of a savings account at the end of 4 years if the interest earned each year is 5.5%. The principal is $700.
Answer:
1. a. 544%
b. 84%
2. 175
3. $867.18
Step-by-step explanation:
1. a.2.32-0.36=1.96
1.96/0.36=5.44
5.44*100=544
b. 1.96/2.32=0.84
0.84*100=84
2. let x = # of 7th graders
let y = # of 8th graders
y is 125% of x
y=1.25x
x=140
y=1.25*140
y=175
3. A=P(1+r)^t
A=700(1+0.055)^4
A=867.18
1. Rob's favorite class is woodworking. For his last
project, Rob glued together 7 strips of wood
side-by-side to make a decorative sign. Each strip of
wood had the same width. His finished sign was 14
inches wide. How many inches wide was each strip
of wood?
A. 2 inches
B. 91 inches
C. 21 inches
D. 7 inches
Answer:
Wouldn't it be 2 because of 14÷7?
Please help asap!! I will mark you as brainliest. :)
May you plz help me I am struggling with slopes
Answer:
(1,-5) basically x and y -5 is your y and 1 is your rise and run.
Step-by-step explanation:
solve by graphing
2x+4y=8
2x-y=2
point to where they intersect ( , )
Use the function f(x)=3 sin(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.
solve for x
8x = -14
Answer:
-7/4
Step-by-step explanation:
8x=-14
X=-14/8
X=-7/4
Sarah drove 116 miles in 4 hours .If she drove at a constant rate,how far did she travel each hour?
Answer:
29 miles
Step-by-step explanation:
116 divided by 4
Answer: 29 mph
Hope this helps :)
Simplify :
- 1/2 (4/5 _ 8y)
Answer:
[tex] - \frac{1}{2} ( \frac{4}{5} - 8y) \\ = - \frac{4}{10} + \frac{8y}{2} \\ = - \frac{2}{5} + 4y \\ = \frac{ - 2 + 5 \times 4y}{5} = \frac{ - 2 + 20y}{5} \\ - 2 + 20y = 0 \\ 20y = 2 \\ y = \frac{1}{10} [/tex]
Kai is developing a multimedia presentation on multicellular organisms. Which of the following will she include in her report?
A. fungi
B. yeasts
C. bacteria
D. prokaryotes
Answer:
Fungi
Step-by-step explanation:
If y varies directly as x, and y =-4 when x=8, find y when x=3
Answer: Another way of looking at it!
y
=
10
Explanation:
This is a ratio question in disguise.
By parts of the question:
"When y varies directly with x"
→
y
x
"
"if y=8 when x=4"
→
.
.
y
x
=
8
4
"how do you find y when x=5"
→
y
x
=
8
4
=
y
5
so
y
=
8
×
5
4
=
10
This is the same thing as using 'k' in the other solution
Step-by-step explanation:
Find the unknown side of the triangle below.
9 in
18.8 in
15 in
8 in
Answer:
its actually 15 inches, cause if you bring the bottom line up and compare it to the 17 line its a smidge shorter so go with the largests number the less then 17. theres proof for the quiz itself
Step-by-step explanation:
Question 3 (5 points)
Use the graph to solve the system of linear equations.
Оа
(-4,-4)
Ob
(-1.5,-1)
ос
(2,0)
Od
(-2,-2)