Answers
Answer:
C is the answer
Step-by-step explanation:
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The measure of side DE is 12.3.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
In the given triangle the length of the side DE can be found using the law of cosine. Therefore, the length of the side DE can be written as,
DE² = DF² + EF² - 2(EF)(DF)(Cos 59°)
DE² = 144 + 169 - 2(12 × 13 × Cos 59°)
DE² = 144 + 169 - 160.6918
DE² = 152.30812
DE = 12.3413 ≈ 12.3
Hence, the measure of side DE is 12.3.
Learn more about the Law of Cosine:
https://brainly.com/question/17289163
#SPJ5
Related Questions
Can someone help me find the volume of this pyramid please?
Answers
9514 1404 393
Answer:
796.5 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height.
Here, the base is a square, so its area is the square of the side length:
B = (15 cm)² = 225 cm²
Then the volume is ...
V = (1/3)(225 cm²)(10.62 cm) = 796.5 cm³
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
Answers
the ratios are ratio proportional
Change 12.39% to a decimal
Answers
Answer:
Step-by-step explanation:
decimal point 2 places that way ==> . decimal point 2 places this way <== . 12.39% = 0.1239
Answer:
0.1239
Step-by-step explanation:
To change a percent to decimal form, move the decimal point to the left two times and as you do it more u can just do it off the top of ur head because it just gets easier
hope this helps chu<3
15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answers
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
Barnacles and corals are two types of animals that live in the ocean. Both animals build a hard layer of calcium carbonate around their soft body parts. What is the MOST LIKELY reason that they build these layers?
Answers
Answer:They do this so they can be safe from predators.
Step-by-step explanation: They make this hard layer so it can help protect the vulnerable soft parts of their body from other fish or mammals.
can I add a photo here because I don't know how to ask a question in math
Answers
Answer:
you add a photo by pressing the link button at the bottom and choosing which picture you want
The height of an object thrown into the air can be modeled by
the h(t) = -16t^2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 3 seconds?
A) 161 feet
C) 70 feet
B) 45 feet
d) 171.56 feet
Answers
Answer:
A) 161 feet
Step-by-step explanation:
h(3) = -16(3)² + 70(3) + 95 = 161
Answer:
A) 161
Step-by-step explanation:
h(3) = -16(3²) + 70(3) + 95
= -144 + 210 + 95
= 161
find the perimeter please
Answers
(3x^2-2x-1) + (x^2+1) + (4x+5)
=4x^2 + 2x + 5
A couple decides to keep having children until they have a girl, at which point they will stop having children. They also agree to having a maximum of three children. The table below shows the probability distribution of X=, equals the number of children such a couple would have.
X=# of children 1 2 3
P(X), .5 .25 .25
Given that \mu_X=1.75μ
X
=1.75mu, start subscript, X, end subscript, equals, 1, point, 75 children, find the standard deviation of the children such a couple would have.
Round your answer to two decimal places.
\sigma_X\approxσ
X
≈sigma, start subscript, X, end subscript, approximately equals
children
Answers
Answer:.83
Step-by-step explanation:
Khan academy
From the discrete distribution given, the standard deviation is of 0.83 children.
The distribution is:
[tex]P(X = 1) = 0.5[/tex]
[tex]P(X = 2) = 0.25[/tex]
[tex]P(X = 3) = 0.25[/tex]
The mean is 1.75.The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.Hence:
[tex]\sqrt{V(X)} = \sqrt{0.5(1 - 1.75)^2 + 0.25(2 - 1.75)^2 + 0.25(3 - 1.75)^2} = 0.83[/tex]
The standard deviation is of 0.83 children.
A similar problem is given at https://brainly.com/question/24188569
what is the Constant in
3x + 7
Answers
Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.
1. f and g open in the same direction.
2. f and g intersect twice.
3. f and g have the same axis of symmetry.
4. f and g have the same vertex.
5. g is wider than f.
Answers
Answer:
Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!
PLEASE HELP ME!
In a classroom of 50 students, 30 of them prefer iPads and the rest prefer laptops. what is the ratio of iPads to laptops? Answer in simplest form. If you could, please write out an explanation.
Answers
Answer:
60;40
Step-by-step explanation: 50* 2 = 100
so multiply every thing else by it to
in simplest form tho itd be 3;2
Calculate this right and you will get the brainlist in
Answers
Ep- gravitational potential energy (Joules)
m- mass (kg)
g- acceleration due to gravity(9.8m/s^2 on earth)
h-height above ground (metres)
1.Ep=mgh
Ep= (0.1)(9.8)(4)
Ep=3.92 Joules
2.Ep=mgh
Ep=2(9.8)(3)
Ep=58.8 Joules
help pls. will mark Brainest
Answers
Answer: 36
Step-by-step explanation: multiply 2 6 and 3
$10,000 compounded every 2 years with a 10% interest rate. How much will this be worth in 10 years
Answers
$110,000
I got this answer from multiplying 10,000 by 10 then adding 10% of 10,000 (which is one thousand) 10 times, which got me an additional 10,000, and that's how I got my answer. Please comment on this answer and tell me if it is wrong, I really hope it isn't wrong. I also hope this helps you on your way, have a great day!
can someone pls help me
Answers
Answer:
+/-11
Step-by-step explanation:
It's plus or minus eleven
whats the permiter and area of this triangle will mark brainleist?
Answers
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
find the area. Round to the nearest whole number.
Answers
Answer:
23.
the answer is 33. But when i round its 23.
Step-by-step explanation:
10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00
Answers
Answer:
C
Step-by-step explanation:
21 dollars I think
im just looking for 25/4 (that's a fraction) divided in 3.
Answers
Have a good day :D
Answer:
[tex] \frac{25}{12} [/tex]
Step-by-step explanation:
1) Use this rule: a ÷ b/c = a × c/b.
[tex] \frac{25}{4} \times \frac{1}{3} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{25 \times 1}{4 \times 3} [/tex]
3) Simplify 25 × 1 to 25.
[tex] \frac{25}{3 \times 4} [/tex]
4) Simplify 3 × 4 to 12.
[tex] \frac{25}{12} [/tex]
Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.
What's the answer to this?
Answers
Answer:
The answer to this equation is 3 3/16
Step-by-step explanation:
Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)
Answers
Answer:
-x + 3y = 26Step-by-step explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-2, 8) ⇒ x₁ = -2, y₁ = 8
Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:
y - 8 = ¹/₃(x - (-2))
y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}
3y - 24 = x + 2 {subtract x from both sides}
-x + 3y - 24 = 2 {add 24 to both sides}
-x + 3y = 26
What kind of fraction will you have when the percent is over 100%
Answers
Answer:
100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!
Answer:
"Improper Fraction"
Step-by-step explanation:
An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.
Example:
110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]You can go further by making it a proper fraction but that is beyond the current problem we are solving.
6. Write an inequality that is represented by the graph. (A.REI.D.12)
8
6
4
2
0
-8
-6
24
2
6
-2
-2.
4
16
Answers
Answer:
sdsdsddssssssssssssssssssssss
Step-by-step explanation:
sddsdssdsdds
QUICK PLZ HELP RN ASAP
Answers
Answer:
264.69m^2 is the answer I m pretty sure
HeLP ME Plewse I’m having trouble
Answers
Answer:
1. 324 cm
Step-by-step explanation:
2. 150 cm
PLEASE HELP ASAP
Two lines intersect in the figure.
What is the value of x?
Answers
Answer:
x=17°
Step-by-step explanation:
5x+6=91 (vertically opposite ∠'s equal)
5x= 91-6
5x= 85
x= 85/5
x= 17°
Pls help !!!!!!!!!!!!!! I’m timed!!!
Answers
Answer:
Step-by-step explanation:
If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?
Answers
Answer:
Check pdf
Step-by-step explanation:
About 32% of the 104 children ate a school picnic ate hamburgers. The rest ate hotdogs. How many children ate hotdogs at the picnic
Answers
Answer: 71 children ate hotdogs at the picnic.
Step-by-step explanation:
Given: About 32% of the 104 children who ate a school picnic ate hamburgers.
The number of children ate hamburger = 32% of (104 children)
= 0.32 x 104
= 33.28 ≈ 33
Thus, the number of children ate hamburger = 33
Number of children ate hotdogs = 104-33 = 71
Hence, 71 children ate hotdogs at the picnic.