Answer:
3808
Step-by-step explanation:
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
- 2x + 3y = 7
- 4x + 9y = 27
Answer the two questions below. THANKS!!
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
==========================================================
Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?
what is order of operations for 20-5x2+6
Answer:
multiply, add, then subtract so your answer should be 4
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(please excuse my dear aunt sally)
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
What is the value of tan c
Answer:
In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.
Find the distance between (6,4) and (-6,-5) by using the distance formula
Answer:
[tex]\boxed {d = 15}[/tex]
Step-by-step explanation:
Use the Distance Formula to help determine the distance between two given points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute both given points:
[tex](x_{1}, y_{1}) = (6, 4)[/tex]
[tex](x_{2}, y_{2}) = (-6, -5)[/tex]
[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]
[tex]d = \sqrt{144 + 81}[/tex]
[tex]d = \sqrt{225}[/tex]
[tex]\boxed {d = 15}[/tex]
Therefore, the distance is [tex]15[/tex].
How much simple interest would x dollars earn in 13 months at a rate of r percent?
cruise ship wave 176 miles in 8 hours
18 miles per how
Answer:
22 mph
Step-by-step explanation:
blablablablablablablabla
Answer:
22 miles
Step-by-step explanation:
please have and great day and btw you are loved ok have a great day byee!!
what is the value of 4/5(8+7)-2/3(8+7)
Answer:
The answer is 2.
Hope this helps and if you could mark this as brainliest. Thanks!
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube
Answer:
[tex]Volume = 5028.6cm^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 10cm[/tex]
[tex]Diameter = 8cm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Where [tex]r = radius[/tex]
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 8cm[/tex]
[tex]r = 4cm[/tex]
[tex]h = 100cm[/tex]
Take
[tex]\pi = \frac{22}{7}[/tex], so we have
[tex]Volume = \pi r^2h[/tex]
[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]
[tex]Volume = \frac{22}{7} * 16 * 100[/tex]
[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]
[tex]Volume = \frac{35200}{7}[/tex]
[tex]Volume = 5028.6cm^3[/tex]
Help me ASAP pls. it means the world to me
9.2x8.9= please put shown work on it please and thank you if you do then i will mark you as the brainist
Answer:
81.88 is the answer
Step-by-step explanation:
How to silver (10 points)
Answer:
there
Step-by-step explanation:
10.
TP = 20-12
TP = 8
SP = SQ
SP = 20
RQ = TP
RQ = 8
S-------15.5
20------12
12s = 310
s = 310/12
s =~25,8
11.
75--------46
100-------b
75b = 4600
b = 4600/75
b =~ 61,3
l² = 61,3² + 46²
l² = 3757,69 + 2116
l² = 5873,69
l = [tex]\sqrt{5873,69}[/tex]
l =~ 76,7
will make brainliest answer!!
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
Answer:
C. 5x - 1Step-by-step explanation:
Givenf(x) = 3x-2 and g(x) = 2x+1To find (f+g)(x)Solution(f+g)(x) =f(x) + g(x) =3x - 2 + 2x + 1 =5x - 1On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.
Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall
Answer:
4 7/8, 4 2/3, 4 1/6, 3 11/12
Step-by-step explanation:
To make it easier, convert it into decimals
4 2/3=4.666...
3 11/12=3.9166...
4 1/6=4.166...
4 7/8=4.875
Solve: |x - 4| = 0
Help if can
Answer:
answer is x=4 I'm pretty sure
Step-by-step explanation:
I used a calculator
Answer:
x=4
Step-by-step explanation:
If you plug 4 in, 4-4=0 and the absolute value will not change anything.
f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!
Which is the better buy?
48-fluid-ounce container of laundry detergent for
$5.28
3-gallon container of laundry detergent for $34.56
Answer:
3-gallon container of laundry detergent for $34.56
Step-by-step explanation:
48-fluid-ounce container of laundry detergent for $5.28
5.28 : 48 = 0.11
check your work: 0.11 x 48 = 5.28
so for the first offer you will be paying $0.11 per ounce of laundry detergent.
3-gallon container of laundry detergent for $34.56
1 gallon = 128 ounces
3 gallons = 384 ounces
34.56 : 384 = 0.09
check your work: 0.09 x 384 = 34.56
for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.
hope this helps!
In △BCD, H is the centroid. If HF=6 find BF.
Answer:
18
Step-by-step explanation:
The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex
So HF=⅓BF
So BF=3xHF=3x6=18
If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?
Answer: 5 days
Step-by-step explanation:
5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days
So 7 workers can do this job in
35:7=5 days
Which one is bigger 7.4 or 7 2/5?
Answer:
None, They are Both Equal
Step-by-step explanation:
7 2/5 = 7.4
7.4 = 7.4
So, 7.4 = 7.4
Hence, none of them are bigger
Use the distributive property to expand 0.05(50 + 40).
Answer:
4.5
Step-by-step explanation:
Complete the equation. Answer as a fraction in its simplest form. 9xy x (2/3x)^3=(__/__)x^4y
Answer:
Fill the blank with [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]
Required
Fill in the gaps
[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]
Open Brackets
[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]
[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]
Multiply xy and x^3
[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]
[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]
Divide fraction by 9/9
[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]
By comparison, the blank will be filled with:
[tex]\frac{8}{3}[/tex]
Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]
A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
Parallel to the line y=-3x + 5 passes through (-4,5)
Answer:
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
Step-by-step explanation:
Given equation of line is:
[tex]y = -3x+5[/tex]
General form of slope-intercept equation of line is:
[tex]y=mx+b[/tex]
Comparing both we get
m = -3
The slope of two parallel line sis equal.
Let m1 be the slope of line parallel to given line, then
m1 = -3
Putting in general form
[tex]y = -3x+b[/tex]
Putting (-4,5) in equation
[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]
Putting in the general form, we get
[tex]y = -3x-7[/tex]
Hence,
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
which of the following functions is graphed below
Answer:
A.
Step-by-step explanation:
When X is zero y is 7.
It looks like the y intercept is 7 hard to tell in the picture
Answer:
im going to guess C
Step-by-step explanation:
In Oscar's grade, 70 students are enrolled in health and 30 students are not. What
percentage of the students in the school are enrolled in health?
Write your answer using a percent sign (%).
Answer:
70%
Step-by-step explanation:
Step 1:
70 + 30 = 100 Add
Step 2:
Total of 100 Students
Step 3:
70/100 Divide
Answer:
70%
Hope This Helps :)
Answer:
70% of the students are enrolled in health class.
Step-by-step explanation:
We are given that there are 70 students enrolled in health and that 30 are not. Therefore, we need to determine the total number of students in Oscar's grade.
[tex]70 + 30 = 100[/tex]
Oscar has 100 students in his grade. If 70 of those students are enrolled in health, we can divide those students by the total number of students and convert our fraction to a decimal and then a percentage.
[tex]\displaystyle\frac{70}{100} = \frac{7}{10} = 0.7\\\\0.7 \times 100 = 70\%[/tex]
Therefore, 70% of the students are enrolled in health class.
A swimming pool has two pipes coming into it to fill it with water. One pipe takes 16 hours to fill it. The other takes 12 hours to fill it. How many hours will it take both pipes to fill the pool?
Answer:
8 hours
Step-by-step explanation:
8 hours because half of 16 is 8 and half of 12 is 6
If it takes 6 hours to fill one half then the other 2 hours would go to the other pipe making it 8 hours
What is a proportional relationship?
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality
Step-by-step explanation: