Answer:
The largest angle needed is [tex]95.1^{o}[/tex].
Step-by-step explanation:
To determine the larges angle as required, let us apply the cosine rule.
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C
Since in triangles, the longest side is opposite to the largest angle, then;
[tex]15^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos θ
225 = 64 + 144 - 192 Cos θ
225 = 208 - 192 Cos θ
192 Cos θ = 208 -225
192 Cos θ = -17
Cos θ = [tex]\frac{-17}{192}[/tex]
Cos θ = -0.08854
θ = [tex]Cos^{-1}[/tex] -0.08854
= 95.07962
θ = [tex]95.1^{o}[/tex]
The largest angle needed is [tex]95.1^{o}[/tex].
If two adjacent sides of a rhombus measures 4x – 5 and 7x – 14 respectively. Find the length of each sides.
Answer:
3
Step-by-step explanation:
all sides are equal in a rhombus.
therefore,
[tex]4x - 5 = 7x - 14[/tex]
[tex]14 - 5 = 7x - 4x[/tex]
[tex]9 = 3x[/tex]
[tex]x = 3[/tex]
Help pleaseeeee :))) thanks!
Answer:
D. 8246
Step-by-step explanation:
State the center and radius of the circle based on the equation.
Center = (3,-4) Radius = 5
This equation is already in standard form so you just have to pull out the h and k values which in this case are 3&4, just remember to flip the signs so it'll be 3&-4. Just square the right side and that is the radius, in this case 5
Find the accumulated Value of 5,000
investment which is invested for 8 years at an
interest
rate of 12% compounded
What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter
need help pls i only have 17 points im getting more though. ill give u 13.
Answer:
i think the answer is (12*3.14 = 37.68cm is the circumference and 6^2*3.14 = 113.04cm2 is the area.)
Step-by-step explanation:
Answer:
maybe 127.30
Step-by-step explanation:
ANSER CHOIES
A.135
B.150
C.165
D.180
Answer:
D.
Step-by-step explanation:
For a class trip, there are two adults for every 15 students. There are 238 people (adults and students) on the trip. How many students are on the trip? PLEASE EXPLAIN HOW TO DO.
Answer:
210
Step-by-step explanation:
x = num of adults
x + 7.5x = 238
8.5x = 238
x = 28
#students = 238-x
= 210
Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles? A. 1 and 5 B. 1 and 6 C. 1 and 2 D. 1 and 7
Answer:
1 and 5
Step-by-step explanation:
So basically corresponding angles are the angles which lie on the same line of the transversal
And also one of them will be an interior angle and the other a exterior angle
Answer:
D
Step-by-step explanation:
This is algebra 10 please help :(
Saephan walked 400 feet per minute.
What was his speed in feet per hour?
Please Help with this question!!
Answer:
The answer is C.
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x2 + y2 + 4x + 20y + 68 = 0
Answer:
center( -2,-10)
radius:6
Step-by-step explanation:
I hope this helps.
b) 36 kg in the ratio 1:3:5
9514 1404 393
Answer:
4 kg : 12 kg : 20 kg
Step-by-step explanation:
The total number of "ratio units" is 1+3+5 = 9, so each of them represents ...
(36 kg)/9 = 4 kg
Multiplying the given ratio by 4 kg will show the appropriate division:
1(4 kg) : 3(4 kg) : 5(4 kg) = 4 kg : 12 kg : 20 kg
Please help me! 30 points!
Answer:
take a better pic
Step-by-step explanation:
Describe the function between x = - 4 and x = -1.
linear and decreasing
2
1
non-linear and decreasing
-4 -3 -2 -1
0
1
х
-1
non-linear and increasing
-2
linear and increasing
11
A
The function between the -4 and -1 is increasing and linear. Then the correct option is D.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Describe the function between x = - 4 and x = -1.
As the value of x increases the value of the function also increases.
Then the function is an increasing function between -4 to -1.
Between -4 to -1 the function is a linear function.
More about the function link is given below.
https://brainly.com/question/5245372
The mean of 5 numbers is 11. the numbers are in the ratio 1:2:3:4:5 find the smallest number?
The smallest number is x = 11/3. The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.
Given that the mean of 5 numbers is 11. The numbers are in the ratio 1:2:3:4:5. We need to find the smallest number. We can start solving the problem by following these steps:
Step 1: Let us assume the smallest number to be x.
Step 2: According to the question, the numbers are in the ratio 1:2:3:4:5. Hence, the other four numbers can be written as 2x, 3x, 4x, and 5x.
Step 3: The mean of these 5 numbers is given as 11.
Therefore, we can write:(x + 2x + 3x + 4x + 5x)/5 = 11.
Step 4: Simplifying the above equation, we get:15x/5 = 11x = 11/3.
Step 5: Therefore, the smallest number is x = 11/3.
The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.
For more question on ratio
https://brainly.com/question/12024093
#SPJ8
When I'm 64
Scenario: Pop said, "I have three grandchildren on my knee: Vera, Chuck and Dave.
"Chuck is three years younger than Dave.
1. Write an expression to represent Chuck's age if Dave's age is x years old.
A cone and its dimension are shown in the diagram. Find the volume of the cone in cubic feet.
Answer:
[tex]\pi/4[/tex]
Step-by-step explanation:
The volume of a cone is [tex]\pi r^2h/3[/tex]. We have that [tex]r=1[/tex] and [tex]h=3/4[/tex]. Therefore, the volume is [tex]\pi/4[/tex].
Unit 7: Polygons & Quadrilaterals
Homework 4: Rhombi and Squares
Answer:
CD=28
FD=16
EF=22.978
EC=45.956
Step-by-step explanation:
hope it helps...
have a great day!!
HELP GIVING POINTS BTW! ✅✅✅ Question: 1-13
Which event would be classified an international conflict and might eventually cause the United States to intervene militarily?
-gang violence in a large
country, resulting in widespread chaos
-protests at an international economic summit, resulting in widespread riots
-violence between two or more ethnic groups, resulting in widespread loss of life
-economic disputes between two countries, resulting in widespread trade embargoes
.
Answer:
Either B or D, but D says war between two countries so Yeah
Answer:
I think its d
Step-by-step explanation:
because its two countries
Round 39.711 to the nearest whole number
Answer:
40
Step-by-step explanation:
The .7 causes the 39 to round up to 40
Answer:
40
Step-by-step explanation:
Believe me or not but hope this helps
The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio
Answer:
r=2,n=7
Step-by-step explanation:
The formula for the sum of the nth term of a Geometric Progression is given as:
Sn = a(1-r^n)/(1-r)
Where n = Number of terms
r = Common ratio
From the above question, we are told that:
The sum of the 1st nth term gp is 127.
Hence:
127 = 1(1-r^n)/(1-r)
We are also told that:
The sum of the reciprocal is 127/64
This means the inverse, the formula is given as:
Sn = 1/a(1-r^n)/(1-r)
127/64 = 1(1-1/r^n)/(1-1/r)
= r^(1-n)(1-r^n)/(1-r)
Solving the above, we obtain:
r^(n-1) = 64
r^(n-1) = 2⁶
Hence:
r = 2
Solving for n
n - 1 = 6
n = 6 + 1
n = 7
Therefore:
r=2,n=7
Find the height of the trapezoid
what is the square root of 7686.3652736?
Answer: 87.6719183867
Step-by-step explanation:
Exact Form: √ 7686.3652736
Decimal Form: 87.67191838 …
Step-by-step explanation: The radical cannot be simplified, but it can be approximated.
Give me brainliest or a thank you pls :)
2. In Geometry
is a location that has no size.
O coordinate
und
O spot
point
O dot
It’s a. 8* and pls pls help meee
Answer:
x = 1.5
Step-by-step explanation:
Since they are corresponding angles, they equal to themselves
8x + 13 = 12x + 7
Subtract 12x from both side
-4x + 13 = 7
Subtract 13 from both side
-4x = -6
Divide by -4
x = 1.5
Answer:
20x=20
Step-by-step explanation:
8x+13+12x+7
(8x+12x)+(13+7)
20x+20
+
The sum of ages of Paula and her mother is 48.
Her mother is 12 years more than twice as old as Paula. Use a linear system to
determine the ages of Paula and her mother.
Answer:
Step-by-step explanation:
It’s 12
Question 1
A sweater was originally $38.00, but the department
store is running a 15% off sale. What is the sale price of
the sweater?
Answer:
$32
Step-by-step explanation:
Which of the
following points
would be a solution
to this system of
linear inequalities?
help me out please
The pic is attached.
Answer:
(-2, -4)
Step-by-step explanation:
The solution to a system of equations is an ordered pair. In order to be a solution to a system of inequalities, it has to be in the shaded area of both lines. Since both lines are shaded below the lines, the point has to be in that middle area where both the green and purple shades overlap. (-2, -4) is the only point in that picture that is in that overlapping shaded area. (-4, -1) is only in the green shaded area.
Cindy goes to dinner with a friend. The total bill is $16.50. Cindy brorught $20.00 with her. What is the maximum ammount of tip Cindy can leave the server?
A. 15%
B. 10%
C. 25%
D 20%
need answer ASAP