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.
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Related Questions
What is the principal square root of /25?
5
25
50
125
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Which set of ordered pairs represents y as a function of x?
Answers
Answer:
B. O{ (0, 0), (1, 1). (2, 4). (3, 9). (3, 16)}
D {(0, 0). (-1, -0.5), (-2,-1), (-3, -1.5), (-4, -2)}I think
HELP TEST IS TIMED IF U DON'T KNOW PLEASE DON'T ANSWER
Braxton compared the number of shots taken by each team member during two basketball practices. The results are shown on the dot plots below. The mean number of shots taken at practice 1 is 13 and the mean number of shots taken at practice 2 is 14.5.
A dot plot titled Shots Taken at Practice 1. The number line goes from 10 to 16. There is 1 dot above 10, 1 above 11, 2 above 12, 4 above 13, 2 above 14, 1 above 15, and 1 above 16.
A dot plot titled Shots Taken at Practice 2. The number line goes from 10 to 16. There are 0 dots above 10, 11, and 12, 4 above 13, 2 above 14, 2 above 15, and 4 above 16.
Which is an accurate comparison of the two data sets?
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed less variability than the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
Answers
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
Answer: The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
Step-by-step explanation:
The inequality -2(x + 10) > 75 says the same thing
as - 2x - 20 > 75. I can multiply by -2 on the left
side without reversing the inequality symbol
True
False
Answers
Answer: False. When multiplying or dividing by an negative inequality you flip the sign.
Step-by-step explanation:
Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).
Answers
Answer: 3.4
Step-by-step explanation:
7.2 - 3.8
The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
What is the trigonometry function?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.
It means that the relationship between the angles and sides of a triangle are given by these trig functions.
Here given that,
In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].
So,
[tex]7.2 - 3.8=3.4[/tex]
So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
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Use the distributive property to write an expression that is equivalent to the expression below. -2 (-6x + 3y - 1)
Answers
Answer:
1 2 − 6 + 2
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
C
Step-by-step explanation:
Hello There!
The height of the water starts at 3 feet and its receding at a rate of .75 feet an hour
receding means to move farther away from previous position
so the equation would be
3-.75t
or
-.75t + 3
So we can conclude that the answer is C
What is the total area of the desk in square feet?
Answers
Answer:
64ft
Step-by-step explanation:
What is 2.56 divided by 1/4
Answers
Answer: 10.24
Step-by-step explanation:
2.56/1/4 is the same as 2.56*4/1 or 2.56*4= 10.24
please help with my geometry
Answers
Answer:
45
Step-by-step explanation:
90+45+45=180,k
What is the solution 5y + 1 =31
Answers
A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pulls the
stone out of the tank, the height of the water drops to 6 cm.
Find the volume of the stone. Be ready to explain the steps you took to solve the problem on the next slide (16).
What is the formula for VOLUME?
V
What is the VOLUME of the STONE? Remember to LABEL answer
Answers
Answer:
Formula for volume = length (L) × width (W) × height (H)
Volume of the stone = 1,440 cm³
Step-by-step explanation:
✔️Formula for the rectangular tank = L*W*H
✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone
✔️Volume of the tank with the stone:
L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)
Volume of the tank with the stone = 30*24*8 = 5,760 cm³
✔️Volume of the tank without the stone:
L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)
Volume of the tank with the stone = 30*24*6 = 4,320 cm³
✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³
Q. What is the second step in solving the following equation?
-3x + 5 = 20
Answers
-3x=15
2. divide by -3 on both sides
x=-5
-k/3 = 9
answer = ??
Answers
Answer:
-k=9×3
-k=27
God luck friend
1. Write a story problem that includes both integers −8 and 12.
Answers
Answer: Pam has -8 dollars in her piggy bank she owns mark 12 dollars
Step-by-step explanation:
What does S in Math means?
Answers
Step-by-step explanation:
subtract
i think this
Jordan baked 4 apple pies. She wants to share them equally among 3 of her neighbors. What fractional part of the pies will each neighbor get?
A. 3/7
B. 3/4
C. 1 1/3
D. 2 1/3
Answers
Answer:
C.
Step-by-step explanation:
1 1/3 as an improper fraction is 4/3.
Please make me the brainliest
En una ciudad, el porcentaje de la población que
fuma y bebe, de la que solo fuma y de la que
solo bebe, es la mitad, tercera y cuarta parte del
porcentaje que no fuma ni bebe. Determinar qué
porcentaje de la población fuma o bebe.
Answers
Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.
Step-by-step explanation:
The percentage of the population smokes or drinks is 52%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We are given that;
The drink is half, third and quarter of the percentage
The sum of these percentages must be 100%, so we can write an equation:
x + (1/2)x + (1/3)x + (1/4)x = 100
To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:
12x + 6x + 4x + 3x = 1200
25x = 1200
x = 1200/25
x = 48
This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:
(1/2)x + (1/3)x + (1/4)x
= (1/2)(48) + (1/3)(48) + (1/4)(48)
= 24 + 16 + 12
= 52
Therefore, the percentage answer will be 52%.
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The complete question is;
In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.
Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135
Answers
I think the answer is B.....
8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10
Answers
It is increasing by 11% for each application.
Solve and simplify 5-5x5+5=
Answers
Answer:
−15
Step-by-step explanation:
−15
Answer:
-15
Step-by-step explanation:
5-5*5+5=5-25+5=-20+5=-15
In OPQ the measure of Q=90 O=76 and OP=7.3 feet find the length of PQ to the nearest tenth.
Answers
Answer: sinO=
hypotenuse
opposite
=
7.3
x
sin
76
=
x
7.3
sin76=
7.3
x
7.3
sin
76
=
x
7.3sin76=x
x
=
7.0832
≈
7.1
feet
x=7.0832≈ 7.1 feet
Step-by-step explanation:
Answer:
the correct answer is 7.1
Step-by-step explanation:
For which value of x must the square root
97x
be further simplified
Answers
Question:
For which value of x must the expression √97x be further simplified?
A. 5 B. 10 C. 15 D. 20
Answer:
[tex]D.[/tex] [tex]x = 20[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{97x[/tex]
Required
For what value of x can it be simplified
From the list of options, only (D) is correct
D. 20
Substitute 20 for x in [tex]\sqrt{97x[/tex]
[tex]\sqrt{97 x} = \sqrt{97 * 20}[/tex]
Express 20 as 4 * 5
[tex]\sqrt{97 x} = \sqrt{97 * 4 * 5}[/tex]
Reorder
[tex]\sqrt{97 x} = \sqrt{4 *97 * 5}[/tex]
Split
[tex]\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{485}[/tex]
[tex]\sqrt{97 x} = 2\sqrt{485}[/tex]
With other values of x, the given expression can not be simplified.
Hence:
[tex]x = 20[/tex]
5 – x = 23 yea wth is this lol
Answers
Answer:
x=-18
Step-by-step explanation:
Answer:
x = -18
Step-by-step explanation:
5 - x = 23
5 - 5 - x = 23 - 5
-x = 18
-1x / -1 = 18 / -1
x = -18
Hope this helps and stay safe, healthy, and happy, thank you :) !!
The polygons to the right are similar. Find the value of each variable. (Simply your answers.)
x = ___
y = ___
Answers
Answer:
x=15
y=8
if the triangles are proportional, then the smaller triangle is half the size of the large triangle
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answers
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
A: 19.63ft
B: 31.42ft
C: 15.7ft
D:7.85ft
Answers
Answer:
C
Step-by-step explanation:
using the formula for circumference of a circle.
2πr is the formula.
closest answer is 15.7 ft
Please help with this
Answers
Answer:
6.19
7a.C
7b.Angle AED
7c.Angle 8
7d. Angle 6 and 8
Step-by-step explanation:
6a. The labeled angles are vertical angles so we set them equal to each other.
[tex]7x - 8 = 6x + 11[/tex]
[tex]7x = 6x + 19[/tex]
[tex]x = 19[/tex]
7a.Angle 11 is near Point C so Point C is the vertex.
7b. Angle 5 vertex is E so we can use any 3 points as an angle as long as E is in the middle example, and the angles are on the left side so we can use
[tex]aed[/tex]
Write the angle sign as well.
7c. Angle 6 is vertical from Angle 8.
7d. Angle 7 and 6 form a linear pair and since Angle 6=Angle 8, Angle 7 and 8 form a linear pair as well.
Complete the table. Then identify the y intercept and the coordinate where x = 1. (Help please)
Answers
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.
Answers
An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.