The triangle and square have equal perimeters. What is the perimeter of the triangle?
A. 18
B. 4
C. 12
D. 32
E. 16
F. 24
Answer:
E. 16
Step-by-step explanation:
Perimeter of the triangle = 4x+4x+(x+7)
Perimeter of square = 4(x+3)
We know that the perimeters are equal so we can form an equation to solve for x:
9x+7 = 4x + 12
Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:
9x+7-7-4x=12+4x-4x-7
5x = 5
Now we divide both sides by 5 to get:
5x/5 = 5/5
x = 1
Now we can use this value to figure out the perimeter of the triangle:
P = 9x + 7
x=1, substitute into equation:
P = 9(1) + 7
P = 16
Hope this helped!
Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1
Answer: (a)
Step-by-step explanation:
Given
angle is [tex]270^{\circ}[/tex]
Sine and cosine at this angle is
[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]
Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]
[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]
The same thing is depicted by option (a)
The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The equation is given below.
sin²ø + cos²ø = 1
We know that the ø = 270°. Then we have
sin 270° = -1
cos 270° = 0
Then the equation will be
(-1)² + 0² = 1
Then the correct option is A.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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A group of friends are dining at a pizza parlor. They have 1 1/2 pizzas. If each friend eats 1/4 of a pizza, how many friends can have an equal share?
Simplify your answer
Answer:
6 friends can share the pizza
Step-by-step explanation:
1 1/2 ÷ 1/4 =6
Answer:
Divide 1 1/2 by 1/4. Note that 1 1/2 = 1 2/4 = 6/4. So now we divide 6/4 by 1/4, obtaining 6.
6 friends can enjoy an equal share.
What can you conclude about alternate interior angles?
Plz be specific..Will give BRAINLIEST!!!
Answer:
We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
Please mark as brainliest.
7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
Answer:
8600 litre×235 will be there in the tanks
I’ll give points + brainalist (:
Answer:
A.)
Step-by-step explanation:
This is my answer :)
If Mr. Kim need to 5/8 yard of wire for a project he has a stick that is 1/8 yard long how many 1/8 in your lungs links does he need to measure to get 5/8 of a yard long
Answer:
5 stick lengths
Step-by-step explanation:
The question is not structured well. However, the following can be deduced
[tex]Wire = \frac{5}{8}yd[/tex]
[tex]Stick = \frac{1}{8}yd[/tex]
Required
How many of the stick length can be gotten from the wire length
To do this, we simply divide the length of the wire by the length of the stick.
So, we have:
[tex]Number = \frac{Wire}{Stick}[/tex]
[tex]Number = \frac{5/8yd}{1/8yd}[/tex]
[tex]Number = \frac{5/8}{1/8}[/tex]
Using a calculator, we have:
[tex]Number = 5[/tex]
Nathaniel created the circle graph below
to show the percentage of his free time he
will engage in different activities on Sunday.
Free Time
Drawing Reading
25%
Exercising
30%
Watching
Television
25%
If Nathaniel has 9 hours of free time on
Sunday, which shows the amount of time
he will spend reading?
A 1 hour 8 minutes
B 1 hour 35 minutes
C 1 hour 21 minutes
D 1 hour 48 minutes
Answer:
The real answer is 1 hour and 8 minutes
Step-by-step explanation:
You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:
100 points if you tell me what is range
Answer:
Difference in large and small numbers, higher or smaller value.
Answer:
The range is the difference between the largest and smallest numbers. If you are talking in math.
Example 1: 1, 2, 5, 6, 7
so the smallest number is 1 and the largest number is 7 so 7-1=6
The range is 6.
Example 2: 16, 19, 10, 17, 42
now we have a data set that is not in order. First step is to order them:
10, 16, 17, 19, 42
Next take the smallest and largest number and subtract them: 42-10=32
The range is 32.
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
Create a proportion for each set of similar triangles. Then solve the missing parts
Answer:
?=24
Step-by-step explanation:
12=?
13 26
solve for ?
Find the slope of the line that passes through (10,8) and (1,9).
Answer:
[tex]-\frac{1}{9}[/tex]
Step-by-step explanation:
between (1, 9) and (10, 8), the x moves by 9 and y moves by -1
The slope is equal to: [tex]\frac{\Delta y}{\Delta x} = \frac{-1}{9} = -\frac{1}{9}[/tex]
Answer:
-1/9
Step-by-step explanation:
plug in the slope formula:
y-y
-----
x-x
=9-8
-------
1-10
=-1/9
Find the missing values
Answer Is 5/3 20/12 3 1/3 / 2 8 1/3 / 5
Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles: centering, concentration, control, precision, flow, and breathing. An article reported on an experiment involving 84 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.3.
a. Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of .01 (the cited article reported statistical significance at this α, and a sample mean difference of 2.1 also suggests practical significance).
b. Does it appear that true average pain level for the control condition exceeds that for the treatment condition by more than 1? Carry out a test of appropriate hypotheses.
Answer:
a) We reject H₀ We find difference between the mean of the two groups
b) we accept H₀ : There is no statistical difference ( in the scale of pain) when the difference in samples means is 1
Step-by-step explanation:
Group 1: Only with educational material
Sample size n₁ = 42
Sample mean x₁ = 3,2
Sample standard deviation s₁ = 2,3
Group 2: With exercises with the treatment of individuals
Sample size n₂ = 42
Sample mean x₂ = 5,2
Sample standard deviation s₂ = 2,3
Test Hypothesis
Null Hypothesis H₀ x₂ - x₁ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₂ - x ₁ > 0 or x₂ > x₁
Significance level α = 0,01
Sample sizes are n₁ = n₂ > 30
We use z-test
for α = 0,01 z(c) ≈ 2,32
To calculate z(s)
z(s) = ( x₂ - x₁ ) / √ (2,3)²/42 + (2,3)²/42
z(s) = ( 5,2 - 3,2 )/ √0,2519
z(s) = 2 / 0,5
z(s) = 4
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.
b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.
In this case
z( s) = x₂ - x₁ / 0,5
z(s) = 1 /0,5
z(s) = 2
Comparing z(s) and z(c) now
z(s) < z(c) 2 < 2,32
And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀ equivalent to say that the two groups statistical have the same mean
PLEASE HELP Find x
such that ABC ~ DEF.
Explain the importance of putting your data set in order from least to greatest.
Answer:
In order to make it easier for you to understand and helps in making problems more easier and faster to do
PLEAASEEE HELLLPPPPP I DON'T GET IT ;((
Given: ∆AKL, AK = 9
m∠K = 90°
m∠A = 60°
m∠L = 30°
Find: P∆AKL, The area of ∆AKL .
Here is the explanation I wrote on the paper. ASK QUESTIONS IN THE COMMENTS! I absolutely LOVE answering questions, and you understanding what I mean in my answer means the world to me.
please help me! yah thats all i just need help
Answer:
WT=63
Step-by-step explanation:
[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]
So
[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]
Which is the equation of the given line?
O x = 4
ooo
O
y = 2x
6
4.
(2,4)
2
O y = 2
X
10-8-6
4
1
4
6
22
O x = 2
8 10
-4
-6
-8
10
(2, -7)
1
2
3
Answer:
x=2
Step-by-step explanation:
The solution is, The equation the line is, x =2
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (2,4) and, (2,-7)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x-2)=(-7-4)/(2-2)
=>0 = x-2
=>x =2
Hence, the required equation is, x =2
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
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Find the area of similar figure.XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!
Answer:
[tex]6 in^{2}[/tex]
Step-by-step explanation:
Ratio d area= ( Ratio d side length)²
[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]
[tex]a=\frac{24*9}{36} =6[/tex]
So your answer is 6 you are correct!!
[tex]----------------[/tex]
hope it helps...
have a great day!!
Verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C.
Answer:
hello your question is incomplete below is the complete question
verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??
answer : attached below
Step-by-step explanation:
Attached below is the required verification of the conclusion of Green's Theorem
In the attached solution I have proven that Green's theorem ( ∫∫c F.Dr ) .
i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2
What is the area of the green triangle?
Answer:
The answer is 65
Step-by-step explanation:
Formula for triangle: b x h x 1/2
base= 13cm height= 10cm
13 x 10 x 1/2 =65
The area of the green triangle is 65.
HELP HELP HELP IM BEGGIN YU
Answer:
Option C
Step-by-step explanation:
If two triangles are congruent then their corresponding sides and angles are congruent.
[tex]---------------[/tex]
hope it helps you..
have a great day!!
Answer:
option c is correct answer of this question
hope it helps
How can you isolate the variable in this equation? x + 6 = 13 A Add 6 to 13. B Add 6 to both sides. C Subtract x from both sides. D Subtract 6 from both sides.
Answer:
the answer is D, im doiing the flocab rn
Step-by-step explanation:
I need help on Section 5- Topic 10 Algebra Nation, Algebra 1 Practice book. If anyone could give me answers to the questions, I will be extremely thankful!
Step-by-step explanation:
Just post a pic of the page
what its 1010 + 800 pls help
Answer:
1,810 hope this helps ;)
Answer:
1810
Step-by-step explanation:
lol, did I get trolled?
Need help badly ASAP no joke
Answer:
Option A.
Step-by-step explanation:
Angle APF is equal to angle GPB because of vertically opposite angles. When two lines straight lines cross each other, the opposite angles are equal.
Melody paid for a scarf with a ten dollar bill her change was two dollar three quarters and two dimes how much was the scarf
Answer:
Step-by-step explanation:
10 -2.95 = 7.05
the scarf cost $ 7.05
Answer:
4456646
Step-by-step explanation:
its that bc we add
which is a graph of the equation y = 2x - 4
Answer:
The 3rd one
Step-by-step explanation:
What is the distance between the following points?
Answer:
Option C)√72 will be your answer
----------------------
hope it helps...
have a great day!!
Answer:
these are some latex code , paste it in keyboard and see how it looks
Simplify the expression:
6x ^ 2 + 7x - 3x ^ 2 - 2x
Answer:
3x²+5x
Step-by-step explanation: