Answer:
A:) Yes it is a right triangle
Step-by-step explanation:
[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]
Answer:
A
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5
([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5
Thus the 3 sides form a triangle
Please help I will give brainliest!
Explain how you would find the perimeter of this triangle.
Answer:
Step-by-step explanation:
51+90=141.3
180-141.3=38.7
90+38.7+51.3
So 4 and a number equal 90 degrees.
51.3 degrees are the number of 4 and c^2
We can use the Pythagorean theorem to find out that a^2 is 16
16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.
a=51.3
b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.
Meaning it will be 7.02
7.02+4=11.02
estimate the following square roots
8 is between ___ and ___ but closer to____
80 is between ___ and ___ but closer to____
140 is between ___ and ___ but closer to____
88 is between ___ and ___ but closer to____
250 is between ___ and ___ but closer to____
Answer:
8 is between 2 and 3 but closer to 3
80 is between 8 and 9 but closer to 9
140 is between 11 and 12 but closer to 12
88 is between 9 and 10 but closer to 9
250 is between 15 and 16 but closer to 16
Step-by-step explanation:
Hope this helps :)
suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
d-22 > 28; d > 50
d +22 28; d > 72
d + 22 s 28; ds 72
d-22 28; d = 50
Answer:
Answer:
d--22→ 28
d→ 50
Step-by-step explanation:
Let d dollars be the initial amount in your bank account.
We have been given that you spent $22, so the amount left after spending $22 will be: .
We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.
We can represent this information in an equation as:
Therefore, the inequality represents the initial amount of money you had.
Now let us solve for d by adding 22 to both sides of our inequality.
Therefore, initially you had at least $50.
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
brain less
Which of the following has a slope of 2 and a y-intercept of -4?
y = 2x + 4
y = -2x + 4
y = -2x - 4
y = 2x - 4
Answer:
y = 2x - 4
Step-by-step explanation:
y = ax + b
a = slope
b = y-int
so, in y = 2x - 4
a = slope = 2
b = y-int = -4
Substitution method please
Answer:
x = 3, y = -2
Step-by-step explanation:
Solving the bottom equation for y, we have y = 4 - 2x. Substitute that into the top equation, and solve for x.
4x - 3(4 -2x) = 18
4x - 12 + 6x = 18
10x - 12 = 18
10x = 30
x = 3
From this, we have y = 4 - 2(3) = 4 - 6 = -2
what is the area of the figure below
135in.^2
Step-by-step explanation:
split into 2 shapes :
Triangle
A=bxh/2
= 5 x 6/2
= 15
Rectangle
A=bxh
= 20x6
= 120
120+15=135in.^2
Hope this helps!
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°
The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
What is the law of sine?The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.
The figure of the problem is attached below. The length of AB which is L has to be find out.
The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.
[tex]AB=90-60\\AB=30^o[/tex]
The sum of all the interior angle is 180 degree. Thus, the angle ACB is,
[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]
Let suppose, the length of AB is a. Thus, by the sine law,
[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]
Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
Learn more about the sine law here;
https://brainly.com/question/2264443
#SPJ1
Assume your friend just took an exam made up of 20 true/false questions. further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question what is the probability your friend will pass the exam?
Answer:
10/20 or 1/2 it is 50% chance that she pass and 50% that she fail
Step-by-step explanation:
The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.
The probability of guessing correctly on any individual question is 0.5 (50%).
If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.
The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:
[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]
For k = 10 (minimum number of correct answers to pass):
[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]
P(X = 10) = 0.176197052
So, the probability is 0.176 or about 17.6%.
Learn more about probability here:
https://brainly.com/question/32117953
#SPJ4
Michael bought 4 pairs of socks.
He paid $7.16 after using a $2-off
coupon. Write an equation that can
be used to find the regular price, p,
of a pair of socks.
Answer:
4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.
Step-by-step explanation:
The information that we know is...
- Michael purchased four pairs of socks.
- After utilizing a $2 off coupon, he spent $7.16.
We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...
We start by writing 4p.
4 represents a pair of socks, and p represents the normal price of socks.
4p - 2
Then subtract 2 since he utilized a $2 off coupon.
4p - 2 = 7.16
Lastly, add = 7.16 because he paid in total $7.16.
So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.
Hope this helps! :D
Determine the perimeter
Answer:
139
Step-by-step explanation:
14+14+28+33+33+17 = 139
Answer: 150 feet
Step-by-step explanation:
bottom blank = top sides added
bottom blank = 14 + 33 = 47
missing right piece is left side and right side subtracted
missing right piece = 28 - 17 = 11
add all sides
28 + 14 + 11 + 33 + 17 +47 = 150
150 feet = perimeter
The function P(x)=2x+1 is dilated by the function I(x)=1/2P(x). Which function rule represents I(x)?
We will see that we can write the function I(x) as:
I(x) = x + 1/2.
How to get the function I(x)?
We know that I(x) is a vertical dilation of scale factor 1/2 of P(x), where:
P(x) = 2x + 1.
The vertical dilation will be written as:
I(x) = (1/2)*P(x).
If we replace P(x) by the actual function, we will get:
I(x) = (1/2)*(2x + 1) = x + 1/2.
Then we can conclude that the function I(x) is:
I(x) = x + 1/2.
If you want to learn more about dilations:
https://brainly.com/question/3457976
#SPJ1
Answer:
I(x)=x+1
i got it right on a quiz
In the figure below, all lines intersect at point W. What is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
Which statement best describes the relationship between the number of chores completed and the number of hours spent on the internet?
A. For every increase of one chore completed, one hour was spent on the internet
B. A total of nine chores were completed
C. For every decrease of one chore completed, one hour was spent on the internet.
D. For every decrease of one chore completed, two hours were spent on the internet
which answer is right and please explain
A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 1 to 8. How many different combinations are possible with the lock?
512 combinations
343 combinations
24 combinations
48 combinations
Answer:
512.
Step-by-step explanation:
First there is 111, 222 ...... 888.
There are 8 of these.
Then there are the number of ways you can arrange numbers when 2 of them are the same
= 8P3/2
= 168
Finally if all numbers are different the number of ways
= 8P3 = 336
Answer is 8 + 168 + 336
= 512.
When solving this equation for x, what would you do next?
Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis
We use the order of operations, also known as PEMDAS.
Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.
After distributing, the equation looks like this and we can solve it from there:
4x + 12 = 30
help please, I need it fast
Answer:
(d) 1 / 2^8
this is the answer
both equations answers are kind of same, so (d) is the answer for your question
if this helped you please brainliest?
Answer:
A
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A
4.
Which point on the number line
represents 0.3?
It's C promise me it's C.
What is the slope of the line shown in the graph?
(-2,2)
2
(0,1)
0-2
Answer:
= -0.5
Step-by-step explanation:
Slope:
(y2-y1/x2-x1)
Plug in:
(0,1), (-2,2)
2-1/-2-0
-1/2
= -0.5
The length of a rectangle is eight more than triple the width. If the perimeter is 168 inches, find the dimensions.
Answer:
P= 2(3W + 7) + 2(W) = 110.
P= 6W + 14 + 2W = 110.
= 8W + 14 = 110.
= 8W = 110 - 14 = 96
W = 96/8 = 12- inches.
Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches
7=43 inches if this help.can u mark me brainliest
The width of the rectangle is 12 inches and the length is 43 inches.
What is the perimeter?
The perimeter is defined as the sum of all the sides of the figure. It is given that the length of a rectangle is eight more than triple the width and the perimeter is 168 inches.
The length and the width are calculated as:-
P= 2(3W + 7) + 2(W) = 110.
6W + 14 + 2W = 110.
8W + 14 = 110.
8W = 110 - 14 = 96
W = 96/8 = 12 inches.
Now solve for (L) by
L = 3W + 7 = 3(12) + 7
L = 36 + 7 = 43 inches
Hence, the width is 12 inches and the length is 43 inches.
To know more about perimeter follow
https://brainly.com/question/19819849
#SPJ2
AABC = AADF, AB = 16,
mZB = 59° m2D = [ ? ]°.
=
Answer:
A+B=C
Step-by-step explanation:
[tex]a + b {15}^{2} [/tex]
Answer:
It's 59
Step-by-step explanation:
There congruent so they would equal the same amount.
Find the component form and magnitude of vector RS.
R=(8,-8) S=(4,7)
Thank you!
[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]
Which of the following is true for f(x) = –2sin(x) – 3? the range of the function is the set of real numbers negative 2 less-than-or-equal-to y less-than-or-equal-to 2. the graph of the function is the graph of f(x) = –2sin(x) shifted 3 units up. the amplitude of the function is 2. the period of the function is 4 pi.
The correct option C which is true for the given form of the sine curve f(x) = –2sin(x) – 3.
What is the range of the function?The range of a function is defined as the set of all the possible output values that are valid for the given function.
The general form of the sine curve is given as
f(x) = –2sin(x) – 3
A.
Since this curve's A is -2, its amplitude is 2 and its range is from -2 to 2. but since the D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Choice A is not true.
B.
This graph is the graph of shifted 3 units down since D is negative. This choice isn't true.
C.
Because of the (minus) sign in front of the function, the function is reflected on the x-axis, but the amplitude doesn't change. Since A value is 2, the amplitude is 2. This is true.
D.
The period depends on the B value. Here, the B value is 1, so the period is normal as the parent function of a sine curve, which is, not. So this is not correct.
Therefore, C is the correct answer.
Learn more about the range of the function:
brainly.com/question/2264373
Answer: C. The amplitude of the function is 2.
Step-by-step explanation:
The general strategy for solving an equation of the form x/a= bis to
A. divide both sides by a
O B. divide both sides by b
C. multiply both sides by a
D. multiply both sides by b
E. divide both sides by x
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The general strategy for solving the equation in form of :
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]
is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.
so, correct choice is C. multiply both sides by a
Best way is multiply with a
By which x gets isolated
Let's check how?
ax/a=bax=ab32. A student is in the process of solving an equation. The original equation and the first step are shown
below.
Answer:
Step-by-step explanation:
The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.
The student used additive commutative property for the first step.
What is an additive commutative property?According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.
The student used a + b = b + a
3a + b = 2 + 7 - 5a = 2 - 5a + 7
Because add two numbers, exchange the position of the addend, and sum of them remain same.
This is a additive commutative property.
Hence, the student used additive commutative property for the first step.
Learn more about additive commutative property here
https://brainly.com/question/15267352
#SPJ2
Year 7 > T.12 Find what percent one number is of another: word problems
Frank's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 30
caffeinated teas and 10 decaffeinated teas. What percentage of the teas served were
caffeinated?
Write your answer using a percent sign (%).
Submit
Answer:
8995{c-(-12)4} valva a 2 b 5 c -7
1&5<y x=(2,0)
What is x? What is written in pencil is what my teacher gave me.
Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = -2
Answer:
Slope of the line that is parallel: -1
Slope of the line that is perpendicular: 1
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-4x - 4y = -2 <== add 4x to both sides
+4x +4x
-4y = 4x - 2 <== divide both sides by -4
/-4 /-4
y = -x + 1/2
The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-1)
2. Flip it (-1/1)
3. Change the sign (1)
For a slope of -1, the reciprocal would be: 1
Hope this helps!
Answer:
Parallel line:
-1
Perpendicular line:
1
Step-by-step explanation:
Let's simplify first!
-4x-4y=-2
-4x=-2+4y
4y=-4x+2
y=-x+0.5
For a parallel line, the slope should be the same
Therefore...
Slope=1
For a perpendicular line, the slope should be the negative reciprocal of the original.
Therefore...
Slope=-(-[tex]\frac{1}{1}[/tex])
=1
Hope this helps! :D
Zahra plans to draw a triangle with angles measuring 50 degrees, 60 degrees, and 70 degrees. Which is true about Zahra’s plan?
Zahra cannot make a triangle with these angle measures.
Zahra can only draw one unique triangle with these angle measures.
Zahra can make exactly two triangles with these angle measures.
Zahra can make more than one triangle with these angle measures.
Answer:
Zahra cannot make a triangle with these angle measures.
Step-by-step explanation:
Fifteen is 3/8 of what number
Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓
15=3/8x (let x be the number)
Multiply by 8 on both sides to get rid of the fraction :
15*8=3x
120=3x
divide by 40 on both sides ↓
40=x
So 15 is 3/8 of 40.hope helpful ~
