Answer:
74
Step-by-step explanation:
The measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
In the triangle FGH the measure of the line segment f is 60 centimeter, the measure of the line segment g is 10 cm and the measure of the line segment h is 62 centimeters.
The measure of the angle ∠F has to be find out. To find the value of angle F where side f is 60 cm. Thus, put the values of the all the sides in the above formula as,
[tex]60^2=10^2+62^2-2(10)(62)\cos (F)\\3600=100+3844-1240\cos (F)\\ F=\cos^{-1}(0.27742)\\F\cong74^o[/tex]
Hence, the measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.
Learn more about the law of cosine here;
https://brainly.com/question/4372174
Which inequality represents the number line below?
x< 2
x > 2
x _< 2
x >_ 2
Answer:
x_<2
Step-by-step explanation:
its shaded in so you have to flip it
Answer:
The answer is
x_<2
The circle is shaded and the arrow is going to the left hand side
I will give brainly Brett has a box that has edges 2.5 meters long. He plans to paint the
outside of all sides, including the top and bottom, of this box. Before
buying the paint, he needs to know the area of the surface he plans to
paint. What is the outside surface area of this box?
Answer:37.5
Step-by-step explanation:
Answer:
37.5
Step-by-step explanation:
HELP PLEASE WALLAHI HELP PLS WALLAHI HELP
Answer I think its 6 and -3
Step-by-step explanation:
4. Suppose the probability of event A is 0.23, the probability of the intersection of event A and event Bis 0.12, and
the probability of the union of event A and event B is 0.34. Find the probability of the complement of event B.
(A) 0.11
(B) 0.23
(C) 0.48
(D) 0.52
(E) 0.77
Answer:
[tex]P(B') = 0.77[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.23[/tex]
[tex]P(A\ n\ B) = 0.12[/tex]
[tex]P(A\ u\ B) = 0.34[/tex]
Required
Find P(B')
First, we calculate P(B).
We have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute values
[tex]0.12 = 0.23 + P(B) - 0.34[/tex]
[tex]0.12 = 0.23 - 0.34 + P(B)[/tex]
Collect like terms
[tex]P(B) = 0.12 - 0.23 + 0.34[/tex]
[tex]P(B) = 0.23[/tex]
P(B') is then calculated as:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(B') = 1 -0.23[/tex]
[tex]P(B') = 0.77[/tex]
In a bag of marbles, image are red, image are blue, image are green, and image are yellow. You pick a marble without looking. What color marble are you MOST likely to choose?
Answer:
red
Step-by-step explanation:
1/2 is larger than 1/4, 1/6, and 1/12 meaning the chance of pulling red is greater than getting blue, green, or yellow.
hope i helped you!
What is the overlap of Team 1 and Team 2?
high
medium
low
none
Two line plots aligned vertically so that their labels match. The first line plot is from 72 to 82, is labeled Team 1, and shows the following values that appear as x marks above the line. One x mark above 73. Two x marks above 74. Two x marks above 75. Three x marks above 76. Two x marks above 77. One x mark above 78. One x mark above 80. The second line plot is also from 72 to 82, is labeled Team 2, and shows the following values that appear as x marks above the line. One x mark above 74. Two x marks above 75. Four x marks above 76. Two x marks above 77. One x marks above 78. One x mark above 79. One x mark above 80.
Answer:
low
Step-by-step explanation:
I also need help with this one so pls help me
Answer:
the answer is 39
Step-by-step explanation:
you take 300 - 271 and you get 39
Answer:
29? or I'm just gullible.
Step-by-step explanation:
It seems like 29 so hopefully it is
Round number 245-320
Answer:
300
Step-by-step explanation:
if you mean, 245.320
Answer it fast please
can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow
Answer: Your answer is (C) 6/14
Step-by-step explanation: Have a brilliant day mate - Lily ^-^
margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Which activities demonstrate ability the most?
Tobias bought four video games for $34. 10, $25.50, $13.25, and $9.99,
dileTobias spend?
How much money
A. $172.75
B. $99.40
C. $82.84
OD. $61.74
Answer:
C. 82.84
Step-by-step explanation:
What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
Does the point (4, 0) satisfy the equation y = x2?
HELP HELL HELP HELP HELP HELP HELP HELL
Answer:
j
Step-by-step explanation:
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12Find the perimeter of the rectangle. 11. 13 cm Area = 52 cm2
Answer:
1352 cm
Step-by-step explanation:
Length (l) = 13 cm
Width (w) = 52 cm
Perimeter of the rectangle = 2(l + w) units
P = 2(13 + 8)
P = 2 (21)
P = 42
Thus, the perimeter of the rectangle is 42 cm.
Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?
Solution:
We know that the dimensions of the rectangle in terms of x:
l = 2x + 1
w = 2x – 1
Since the area of a rectangle is given by:
A = l * w
We can substitute the expressions for length and width into the equation for area in order to determine the value of x.
A = l * w
15 = (2x + 1) (2x -1)
15 = 4x2 – 1
16 = 4x2
x = ±2
Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:
l = 11 cm
w = 52 cm
Therefore, the dimensions are 5cm and 3cm.
Now, substituting these values in the formula for perimeter, we will get
P = 2l + 2w
P = 2(5)+2(3)
P = 10+6
P = 16 cm
HELP ASAP NEED ANSWER
Answer:
2
Step-by-step explanation:
hope this helps
please give brainliest. Thanks! :)
can someone answer this whole page lol
marking brainliest btw
Answer: all i can read is number 2 and the answer is 5ft
Step-by-step explanation:
Answer:
B) [tex]\sqrt{225-81}[/tex]H) 5Triangle DG) 18 yardsStep-by-step explanation:
To solve question 1, you use the Pythagorean Theorem to solve. Option B uses this correctly.
Question 2 also uses the Pythagorean Theorem to solve. The answer is a decimal, but rounded to the nearest whole number, the answer is 5.
Question 3 uses the Pythagorean Theorem to see which triangles have the correct measurements of a right triangle. The triangle D is the only incorrect one.
Number 4 uses the Pythagorean Theorem to find the distance it would take to walk in a straight line. The answer to this is 51. Then subtract (24 + 45) - 51 to get 18 yards.
Hope it helps!
Answer the question quickly please 3y=24
Answer:
y = 8
Step-by-step explanation:
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
Insta: 25k_kemExplain 5 different ways you use Math in your everyday life.
Answer:
Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.
Step-by-step explanation:
Answer:
1. you use it to calculate time (managing your day)
2. you use it while driving (use in angles and degrees)
3. you use it while drawing (again, use in angles and degrees)
4. you use it while cooking
5. you use it while banking (financial help)
Step-by-step explanation:
hope this helps:) please mark brainliest
how much money will she have left after she pays back the money she borrowed from the bank
Step-by-step explanation:
whatever amount her bank account balance is at the same time frame when paying off her loan as only her bank knows
6 devide by 7.3 so what is the answer
Answer:
0.82
step-by-step explanation:
I need to know Sergio rode mph and Sergio walked mph
Answer:
73
Step-by-step explanation:
Probably
Which expression is equivalent to the given expression?
8(34a)−8
34a
6a
8(34a−1)
34a−1
Answer:
8(34a-1)
Step-by-step explanation:
Hope this helps :)
Answer:
8(34a-1)
Step-by-step explanation:
An angle turns through 60 one degree angles. What is the measure of the angle?
9514 1404 393
Answer:
60°
Step-by-step explanation:
60 × 1° = 60°
The angle measure is 60°.
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.45
Answer:
True
Step-by-step explanation:
1.45 the 5 is equal/above it so it is true
Calculate the speed of a car traveling a total distance of 60 meters in 4 seconds. pls help will give brainliest
Answer:
15 meters per second
Step-by-step explanation:
60/4 = 15
Answer:
15 meters per second