Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.
m∠A=
m∠B=
m∠C=
Answers
Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = [tex]\text{cos}^{-1}(0.1786)[/tex]
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
[tex]\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}[/tex]
[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}[/tex]
[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}[/tex]
[tex]\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}[/tex]
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
Related Questions
PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP
Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.
How many dozens of
muffins can Garnet make with the flour she has?
Answers
Answer:
6
Step-by-step explanation:
2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.
2 1/2 is the same as 5/2
31/2 divided by 5/2 (keep-change-flip to divide a fraction) —> 31/2 times 2/5
Numerator: 31 times 2 = 62
Denominator: 2 times 5 = 10
Put that together and it’s 62/10 which reduces to 31/5 or 6 1/5 cups
If the designer measures the pond and determines that the length of the pond across is 400 feet wide, what is the length of the radius?
Answers
Answer:
200 ft
Step-by-step explanation:
I assume that 400 ft is the diameter, in which case the radius is 1/2 if the diameter. Therefore, 1/2 of 400 is 200.
Hope this helps!
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction?
Answers
Answer:
The error in his prediction is that he had too small of a sample size for the data to be reliable in how the trend would continue.
Answer:
He did not perform enough trials to compare the theoretical and experimental probabilities.
Step-by-step explanation:
Solving System equations using substitution
5x+2y=21
-x-y=-9
Can someone help solve this
Answers
Answer:
x = 1
Step-by-step explanation:
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
also you can use math_way to help solve this
Have a great day!
HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!
(if it is not a ligament answer, i will report)
Answers
Answer:
2 x 3(x + 4) + 2 x 7(x + 2) = 20x + 52
Step-by-step explanation:
2 x 3(x + 4) + 2 x 7(x + 2) = 6x + 24 + 14x + 28 = 20x + 52
Find the length of CE
A. 17.8 units
B. 27.8 units
C. 37.8 units
D. 51.5 units
Answers
Answer:
B. 27.8 units
Step-by-step explanation:
Hope it Help
After 2.5 years your investment account has earned $450 in interest. If the interest rate is 7.5% what was the principle on your account?
Answers
Answer: $2400
Step-by-step explanation:
Given
Interest earned is $450
The rate of interest is R=7.5%
Time period T=2.5 years
Simple Interest is given by
[tex]S.I.=\dfrac{P\times R\timesT}{100}\quad [\text{P=Principal}][/tex]
Substitute values
[tex]450=\dfrac{P\times 7.5\times2.5}{100}\\\\P=\dfrac{450\times 100}{7.5\times 2.5}=\$2400[/tex]
What is the interquartile range of the following data set?
37,27, 48, 96, 61, 84, 29, 1,72,5, 34
O A. 37
B. 10
O C. 64
O D. 45
Answers
Answer:
d
Step-by-step explanation:
How to find the Interquartile Range
Order the data from least to greatest.
Find the median.
Calculate the median of both the lower and upper half of the data.
The interquartile range is the difference between the upper and lower medians.
After doing that, write out your list, and and subtract the medians to get 45
PLEASE HELP I’LL GIVE BRAINLIEST
Answers
Since they are parellel sides it will be efficiet as 13. Answer is 13.
Hope this helped ( thx if you give branliest as well)
Answer:
The answer would be 38.6
Step-by-step explanation:
Because you have to find the circumference of the half circles which would be 12.57 together then you add the two sides (13) together which would just be 38.57, but rounding up will make it 38.6.
Brainliest?
Use the table to find the solution to the function f(x)=x^2(x-2) when x=2
Answers
f(x) = 0
good lcukkk
5n + 34 = -2(1-7n)
n=
ill mark brainliest and 20 points
Answers
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
Expand −2(1−7n): −2+14n
5n+34=−2+14n
Subtract 34 from both sides
5n+34−34=−2+14n−34
Simplify
5n=14n−36
Subtract 14n from both sides
5n−14n=14n−36−14n
Simplify
−9n=−36
Divide both sides by −9
−9n
−9 =
−36
−9
Simplify
n=4
Guys pls help me!!!!!!!!
Answers
Answer:
D. y = -x^2 + 1
Step-by-step explanation:
Workers inc just brought 14 boxes of pens to put in their storage. Each box contains 40 pens. If each of the 40 employees takes 2 pens how many will be left in the storage room?
Answers
Answer:
480
Step-by-step explanation:
The computation of the number of pens left in the storage room is shown below:
The total number of pens purchased is
= 14 boxes × 40 pens
= 560
ANd, the total pens take by the employee
= 40 employees × 2 pens
= 80
So, the remaining pens left is
= 540 - 80
= 480
Choose the correct horizontal asymptote of
F(x)=x+7/x^2-6
A: y=6
B: y=0
C: y=7
D: none
Answers
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answers
Answer:
c
Step-by-step explanation:
because u cant be wrong with going with none of the above due the fact that they could be decimals and they didn't want to write out the full number therefore making it incorrect. No need to thank me.
multiply this please! i dont understand this assignment and need someones help asap!
Answers
Answer:
b1 = -21
b2 = 33
b3 = 6
Step-by-step explanation:
I think that it is asking you to multiply 3 by -7, 11 and 2 and those would equal b1,2, and 3
The length of one edge of a cube is 7 units. What is the volume of this cube in cubic units? HELPPPPPP JUSTIFY THE ANSWER PLEASEEE
Answers
Answer:
Step-by-step explanation:
A cube has an edge length of 5 inches
When I know the side length of a cube, I can find its surface area and express it using appropriate units.
I can write and explain the formula for the surface area of a cube.
The volume of a cube with edge length [tex]S^{}[/tex] is .[tex]S^{3}[/tex]
A cube has 6 faces and they are all identical squares. The surface area of a cube with edge length [tex]S^{}[/tex] is. 6 DIVIDE [tex]S^{2}[/tex]
find the surface area of the following cylinder. Round your answers to the nearest tenth.
Answers
Answer:
233
Step-by-step explanation:
2=33=2=
PLEASE HELP WORTH 15 POINTS
Answers
look at pic below please show work.: )
Answers
Answer:
there no
Step-by-step explanation:
put the pic
please help me im bad at math and i math you as brainlest if you help me
Answers
Answer:
1st one
Step-by-step explanation:
Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes
Answers
Answer:
c. (1/2, 8)
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
-2x + y = 7
Step 1: Subtract y from both sides of the equation.
-2x = -y + 7
Step 2: Divide both sides by -2
x = 1/2y - 7/2
Substitute what you see above this statement for y in the other equation.
6(1/2y - 7/2) + y = 11
Step 3: Multiply 6 by 1/2y - 7/2.
3y - 21 + y = 11
Step 4: Combine y and 3y.
4y - 21 = 11
Step 5: Add 21 to both sides
4y = 11 + 21
4y = 32
Step 6: Divide both sides by 4.
y = 32/4
y = 8
Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.
x = 1/2(8) - 7/2
Step 8: Multiply 1/2 by 8.
x = 4 - 7/2
Step 9: Add -7/2 to 4.
x = 1/2
The system is now solved, and we get C (1/2, 8) as our answer.
Answer:
C
Step-by-step explanation:
I did the test myself
300% of what number is 75?.
Answers
Answer:
25
Step-by-step explanation:
Find the number by dividing 75 by 3, since 75 is the number tripled.
75/3
= 25
So, 300% of 25 is 75.
Answer:
25
Step-by-step explanation:
300% * x = 75
300/100 * x = 75
x = 75 * 100/300
x = 25
what 1 +1x5-5x9 i really need to know this by the next second
Answers
Answer: -39
Step-by-step explanation:
Hope this helps.
A line passes through (-1, 5) and (1, 3)
Answers
Answer:
y=-x+4
Step-by-step explanation:
3-5/1-(-1) = -1
(y-(-1)) = -1(x-5)
y+1 = -x+5
y= -x +5-1
y= -x + 4
Translate the figure 2 units left and 4 units down
Answers
Answer:
rectangle
Step-by-step explanation:
can i have brainliest
A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound?
Answers
Answer:
1583362.7 termites
Step-by-step explanation:
A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound
The formula for the volume of a cone
= πr²h/3
Radius = r = 60cm
Height = h = 1.4 m
Converting to centimeters.=
1m = 100cm
1.4m = x
x = 1.4 × 100cm = 140 cm
Volume of the cone = π × 60² × 140/3
527787.5658 cm³
From the above question
1cm³ = 3 termites
527787.5658 cm³ = x
Cross Multiply
x = 3 × 527787.5658
x = 1583362.6974 termites
Approximately.= 1583362.7 termites
Answer:A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound
Step-by-step explanation:
if line M is parallel to line and, in the slope of M is -5/7, what is the slope of line end? Your denominator must be positive
(easy question, easy points)
Answers
Answer:
7/5
Step-by-step explanation:
Everything is positive as I explained,
the answer of the reverse reciprocal is 7/5 because 7/5 is parallel to -5/7 so they are perpendicular to each other.
Giving brainliest for the correct answer
Answers
Answer:
8
Step-by-step explanation:
all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal
Answer:
8 in.
Step-by-step explanation:
Perimeter of square = 4l = 4 * 2 =. 8 in.
Plzzzzzzzzzzzzzzzzzz
Answers
Answer:
Step-by-step explanation:
TU=8
WU=10
TX=5
TV=10
I THINK
