In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
Answers
Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
Additional comment
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
Answer:
60
Step-by-step explanation:
Related Questions
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds
Answers
Answer:
a) gallons
b) gallons
Step-by-step explanation:
a)1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.
__
b)Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.
Please help me fill in the blanks :)
Answers
Answer:
Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.
A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.
A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.
I don't understand the last paragraph though. Hope this helped :D
Step-by-step explanation:
I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?
Answers
Answer:
Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.
Step-by-step explanation:
a=5 and b=-5 , 2ab-a^(2)
Answers
Answer:
Step-by-step explanation:
2(5)(-5)-(5)^2
=−75
A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
pi = 3.14
diameter = radius x 2
diameter = 10 x 2
diameter = 20
Circumference = 3.14 x 20
Circumference = 62.8 ft
Answer:
62.8 ft
Step-by-step explanation:
Circumference = 2πr
2 * 3.14 * 10 = 62.8
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answers
Answer:
Because it can't be written as a Ratio of two integers
HELP PLEASE!!!!! THIS IS DUE TODAY!!!!
Answers
Answer:
nonlinear
Step-by-step explanation:
it's a parabola
There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?
Answers
Answer:108
Step-by-step explanation:
36 times 3, right??
-15x = -75 I need HELP!!!!
Answers
Answer:
x=5
Step-by-step explanation:
You divide both sides by -15 which gives you a positive 5
How do I solve this please look for the x and then the y
Answers
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?
Answers
Answer:
$5089.38Step-by-step explanation:
Given cylinder with:
d = 24 ft, h = 6 ftWe need to fill it up to:
h = 6 ft * 3/4 = 4.5 ftThe volume is:
V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)You need to spend:
2035.75 * $2.50 = $5089.38 (rounded)$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)
Answers
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
Learn more about simple interest here;
https://brainly.com/question/1548909
#SPJ2
Anyone able to help
Just question 6 please
Answers
Answer:
C)
Step-by-step explanation:
Have a great day
What is the measure of the angle in the polygon shown below?A.B.C.D.
Answers
C.130°
Answer:
Solution given:
no of sides(n)=6
now
total interior angle of polygon having 6 sides is
(n-2)*180=(6-2)*180=4*180=720°
we have
Sum of interior angle of polygon: 720°
130°+100°+130°+130°+100°+?=720°
590°+?=720°
?=720°-590°
?=130°
Plzzzz help meeeee plzzzzzzzz
Answers
Answer:
$0.70
Step-by-step explanation:
70cents is the same as 70/100. so, this would be 0.70.
Hope this helps!
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!
Answers
Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)
Answers
1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.
2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.
3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.
4. -17-3/-11-(-1) is -20/-10. The slope is 2.
Find the domain and range of this mapping diagram.
Answers
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation:
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answers
Answer:
65
Step-by-step explanation:
65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
false
Step-by-step explanation:
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
Answers
Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.
A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres
Answers
Answer: B: 3.45
Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.
Which list is in order from least to greatest?
Answers
Answer:
6/10 , 5/8 , 2/3
Step-by-step explanation:
The 3rd one
6/10 , 5/8 , 2/3
if you simplify them into fraction it will be :
0.6 , 0.625 , 0.666
As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a scale of 1 inch equaling 60 miles. Their route’s total length on the map is 2 1/2 inches long. How far will they be traveling to the meet? Show your work.
Answers
30 = 1/2 of 60 which is half an inch
60 x2 because he travels 2 inches
PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP
Answers
Answer:
Step-by-step explanation:
number 6. (1-2+3) - 4 + 5 = 3
Number 7. (1+2) +( 3+4 ) - 5 = 5
number 8. (1+2+3) - 4(5) = 10
5: (1+2)3 - 4 / 5 = 1
Answer:
5 --- 1 + 2 - 3 - 4 + 5 = 1
6 --- 1 - 2 + 3 - 4 + 5 = 3
7 --- [1 + (2 x 3 x 4)] / 5 = 5
8 --- [1 + 2 + (3 x 4)] - 5 = 10
Step-by-step explanation:
I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with
Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?
Answers
Answer:
50% 250x2=450
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
$225 x 2 = 450
this means the cell phones price was reduced by 50%
glad to help ;)
i don’t know what i’m doing lol
Answers
To find this I looked at the 6 and 4.
I found a common denominator, 2 in this case, and divided. This gave me 3 and 2. So, we already know x=2.
If you don’t understand, let me know
Plzzzz help meeee plzzzzzs
Answers
Write an equation to represent the image.
Answers
Answer:
m+1/4=2/3
Step-by-step explanation:
please mark me as brainlest
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answers
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.