Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
There are 564 men and women working in a facten
There are twice as many women as men.
How many men are working in the factory
It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.
y
is inversely proportional to
x
.
When
y
=
30
,
x
=
4
Work out
x
when
y
=
20
Step-by-step explanation:
I think it might be enough to help you.
10.12 ÷ 4.4 =
A
0.23
B
2.3
C
5.72
D
57.2
Answer:
The answer is 2.3 B It is just by dividing
Answer:
B. 2.3
Step-by-step explanation:
Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.
We then have the equations:
101.2 ÷ 44 = 2.3
and therefore:
10.12 ÷ 4.4 = 2.3
help please and u get a cookie
Answer:
im allergic to cookies
Step-by-step explanation:
3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).
Answer:
Expand on the name.......
A person invested $30,000 in stocks and bonds. Her investment in bonds is $3000 more than half her investment in stocks
How much did she invest in stocks? How much did she invest in bonds?
Answer:
He invested in stocks Say, = x $
He invested in bonds = (x/2)+6000
So,
x+ x/2 +6000=30000
2x+x+12000=60000
3x= 48000
x=16000
Investment in stocks= 16000 $
Step-by-step explanation:
!!
Answer:
$ 3 0 , 0 0 0 in Stocks
$ 2 7 , 0 00 in Bonds
Step-by-step explanation:
$ 3 0 , 0 0 0
- $ 3 , 0 0 0
_ _ _ _ _ _ _ _ _ _
$ 2 7 , 0 0 0
Please help me with my homework!
Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?
A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)
Help pls ill give Brainlyest to the one who does it step by step.
Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
There are 15 pieces of fruit in a bowl and 3 of them are apples. What percentage of the
pieces of fruit in the bowl are apples?
a.
3%
c.
20%
b.
15%
d.
40%
Work Space
Answer:
c. 20%
Step-by-step explanation:
3/15=1/5
1 divided by 5 = .2
Move decimal point 2 times to get percent.
20%
32) Write a compound inequality that represents the given graph:
A. 6≤x 10
D. 6
Answer:
6 < x ≤ 10
Step-by-step explanation:
The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).
That is: x > 6 and x ≤ 10
This can be written as: 6 < x ≤ 10
Problem: 2 - $(7 – 2y) = -3
Step 1: -3(7 2y) = -3
Step 2: -21 + 6y=-3
Step 3: by = 18
Step 4: y = 3
Determine which number step the mistake is Made and describe the error
If x=-3 what does 6+5x
Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
Answer:
n = 19.6
Step-by-step explanation:
Given the expression;
1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)
Open the bracket
1.6 + 0.8n - 3.2 = 1.1n - 7.48
Collect the like terms
0.8n - 1.1n = -7.48 + 3.2 - 1.6
-0.3n = -5.88
n = -5.88/-0.3
n = 19.6
Hence the value of n is 19.6
You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches
Help me out please !!!!!!
Given:
A line segment AB on a coordinate plane.
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
To find:
The coordinates of A' and B'.
Solution:
From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
Using this rule, we get
[tex]A(1,3)\to A'(1-6,3-3)[/tex]
[tex]A(1,3)\to A'(-5,0)[/tex]
And,
[tex]B(5,1)\to B'(5-6,1-3)[/tex]
[tex]B(5,1)\to B'(-1,-2)[/tex]
Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).
1.Interest rate=7%p.a.Find the interest of Rs 200 for years.
2.Interest rate=11%p.a.Find the interest of Rs 2000 for years.
Step-by-step explanation:
Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year
Step 1
Finding Intrest for Rs200
We have
Principal(P) = Rs 200
Rate (R) = 7%pa
Time (T) = 1year
Intrest(I) =?
We have ,
I =PTR/100
=200*7/100
=Rs 14
Step 2
Finding intrest for Rs2000
Given
Principal(P)=Rs2000
Rate(R) =11%
Time(T) =1 year
Intrest(I) =?
We know,
I =PTR/100
=2000*11/100
= 20*11
=Rs 220
No idea how to do this o
Answer:
f(4) = 6
Step-by-step explanation:
When you have a function f(x) the number inside the parenthesis is the x value. In this case its 4. So the function value for f(4) is 6 because that is where the line is at x = 4
Alex drew the triangles shown. Which of the following correctly describes the triangles?
Answer: wheres the attachment..
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464
Answer:
Your answer is 264
Step-by-step explanation:
6) Find the distance between -8 and 10.
) What is an expression that represents the
distance? Complete the expression.
1
-8
10
1
- 10 -8
What is the distance?
?
units
Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.
Answer:
The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (
Answer: mean: 4
standard deviation: 1.79
Step-by-step explanation:
xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.
Answer:
J+22=X
Step-by-step explanation:
J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.
what is the reciprocal of -1/5
Answer:
5/-1
Step-by-step explanation:
The reciprocal is just flipping the fraction.
Chose the ratio that forms a proportion with the ratio 3/8?
Answer:
well i donk know
so but just trying to get points
please answer asap!!!!!
Answer:
Angle E, Angle G, Angle F
Step-by-step explanation:
There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F
Answer:
m<E < m<G < m<F
Step-by-step explanation:
it is a 30,60,90 Triangle E = 30, G = 60 and F = 90
solve for y.
-13=4y+3
Answer:
-13=4y+3 -3
-16=4y ÷4
-4=y
Step-by-step explanation:
hope it helps ^^
Answer:
y = -4
explenation in picture
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
https://brainly.com/question/9965602
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x − 1)2 − 2
f(x) = −(x + 1)2 − 2
f(x) = (x + 1)2 – 2
f(x) = (x − 1)2 − 2
Answer:
The second answer is the correct one, f(x) = -(x + 1)² - 2
Step-by-step explanation:
We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.
We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2. Without that the parabola would be moving upward from its vertex of (-1, -2).
With those we can eliminate all answers but the second one
Answer:
Step-by-step explanation:
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x + 1)2 − 2
A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?
Answer:
15 cm
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.
If we plug in 10 for W, we get this:
2L + 2(10) = 50 <-- the perimeter
2L + 20 = 50
2L = 30
L = 15