Answer:
[tex]sum \: angle \: of \: a \: triangle \: = 180 \\ here \: 90 + x + y = 180 ....(1)\\ but \: given \: that \: x = \frac{y}{5} \\ y = 5x .....(2)\\ put \: (2) \: in \: (1) \\ = > 90 + x + 5x = 180 \\ 90 + 6x = 180 \\ 6x = 180 - 90 = 90 \\ 6x = 90 \\ x = \frac{90}{6} = 15 \: degree \\ angle \: for \: a \: stright \: \: line \: = 180 \\ x + unknown = 180 \\ 15 + unknown = 180 \\ unknown = 180 - 15 = 165 \: degree \\ thank \: you[/tex]
Every problem has a solution .Lets solve it .
Here given that
[tex]\\ \sf\longmapsto x=\dfrac{y}{5}[/tex]
Use cross multiplication[tex]\\ \sf\longmapsto y=5x\dots(1)[/tex]
Now
As its a triangle
[tex]\\ \sf\longmapsto 90+x+y=180[/tex]
Put y=5x[tex]\\ \sf\longmapsto 90+x+5x=180[/tex]
[tex]\\ \sf\longmapsto 6x+90=180[/tex]
[tex]\\ \sf\longmapsto 6x=180-90[/tex]
[tex]\\ \sf\longmapsto 6x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{6}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
We need not to find y
See the marked angle and x are supplementary angles hence there sum will be 180
[tex]\\ \sf\longmapsto x+15=180[/tex]
[tex]\\ \sf\longmapsto x=180-15[/tex]
[tex]\\ \sf\longmapsto x=165[/tex]
The required angle is 165°.
1. What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?
2. What is the equation of a line parallel to y = -5x + 3 that passes through (3, 1)?
3. What is the equation of a line parallel to y = 7x – 8 that passes through (5,-2)?
Thank you
Answer:
1.y = 4/5x + 6/5 2. y = -5x + 16 3.y = 7x - 37
Step-by-step explanation:
1. y = 4/5x + b
2 = 4/5(1) + b
2 = 4/5 + b
6/5 = b
y = 4/5x + 6/5
2. y = -5x + b
1 = -5(3) + b
1 = -15 + b
16 = b
y = -5x + 16
3. y = 7x + b
-2 = 7(5) + b
-2 = 35 + b
-37 = b
y = 7x - 37
32 is what percent of 48?
Answer:
Yeah it is 66.67 percent
Step-by-step explanation:
Solve for x. Check your solution.
5x+4x=45
x=...... (simplify your answer)
Answer:
x = 5
Step-by-step explanation:
5x+4x=45
9x = 45
x = 5
Hvae a good day
Identify a solution of the equation: log2x+log(x−5)=2
1. x= -4
2.x= 2
3.x= 10
4.x= 5
Answer:
3.x= 10Step-by-step explanation:
log 2x + log (x - 5) = 2log (2x(x - 5)) = 22x(x - 5) = 10²2(x² - 5x) = 100x² - 5x - 50 = 0x² + 5x - 10x - 50 = 0x(x + 5) - 10(x + 5) = 0(x - 10)(x + 5) = 0x = 10x = -5, this root is discounted as log should be positive.Correct choice is 3.
Two points are given: (-4,3) and (2,-5). Find the distance between the two points. (The numerical value simplified as much as possible thanks)
Answer:
distance is 11.3137 units
Step-by-step explanation:
[tex] \sqrt{( - 4 -2) ^{2} + (3 - - 5) ^{2} } \\ \sqrt{64 + 64} \\ \sqrt{128 } \\ \sqrt{2 \times 64} \\ \sqrt{2} \times \sqrt{64} \\ 8 \sqrt{2} \: units \\ 11.3137 \: units[/tex]
hopefully it makes sense
:)
Markes recipe for 24 cookies calls for 2½ cups of flour.How much flour will markes need to make 60 cookies?
Answer:
6 1/4 cups of flour
Step-by-step explanation:
24/2 = 12
2.5/2 = 1.25
12 x 5 = 60
1.25 x 5 = 6.25 cups
For every 24 cookies Markes needs 2.5 cups of flour. So, for 12 cookies he needs half of that which is 1.25 cups. 12 is a fifth of 60, so we multiply 1.25 by 5 which gives us 6.25 cups of flour. :D
The sum of 27 and -28 divided by 2.
Hey there!
The word sum usually means addition in mathematics!
27 + (-28) / 2
= 27 - 28 / 2
= -1 / 2
= -0.5
Answer: -1/2 OR -0.5 (either those should work because they are both equivalent)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
The sum of 27 & - 28 divided by 2.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay, so first we need to frame this statement to a numerical expression. It will be :- '27 + (-28) / 2 [sum means to add the 2 numbers, i.e, 27 + (-28). Then we should divide the result by 2 according to the question given.)Now, let's solve it.[tex] \sf\frac { 27 + ( - 28 ) } { 2 } \\ [/tex]
Subtract 28 from 27 to get -1.[tex] \boxed{\boxed{ \boxed{ \bf\frac{-1}{2} = \bf- 0.5}}}[/tex]
So, the answer will be - 1/2 in its fractional form or 0.5 in its decimal form.PLEASE HELP!!!
A diagnostic test for drug use among Olympic athletes based on a blood sample was thought to be excellent. Among drug users, 98% had a positive test. Among nondrug users, 95% had a negative test. Suppose that 1% of the athletes are, indeed, drug users. What proportion of the athletes tested would have a positive test? Of those athletes whose test is positive, what proportion are really drug users?
Using conditional probability, it is found that:
5.93% of the athletes tested would have a positive test.16.53% of the athletes that test positive are drug users.What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.For this problem, the events are given as follows:
Event A: Positive test.Event B: Drug users.For this problem, the percentages associated with a positive test are:
98% of 1%(drug users).5% of 99%(non-drug users).Hence the proportion of positive tests is given by:
P(A) = 0.98(0.01) + 0.05(0.99) = 0.0593.
5.93% of the athletes tested would have a positive test.
The proportion that both tests positive and are drug users is:
[tex]P(A \cap B) = 0.98(0.01) = 0.0098[/tex]
Hence the conditional proportion is:
P(B|A) = 0.0098/0.0593 = 0.1653.
16.53% of the athletes that test positive are drug users.
More can be learned about conditional probability at https://brainly.com/question/14398287
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Please answer correctly and no links
Answer:
-6.825 (-2 33/40). hope this helps
Step-by-step explanation:
- Zombie
please explain the process with your answer, thanks in advance!
Answer:
1.6q + 10.7p + 10.2n
Step-by-step explanation:
With the perimeter they mean all sides added up together. Doing this results in a long expression:
3.5n + 6.5p + 6.7n - 7.9q + 9.5q + 4.2p
When adding terms like this, it is important to remember a rule: the numbers before letters can only be added to each other when they are linked to the same letter. So 2n + 2n becomes 4n, but 2n + 2p doesnt become 4np. When you know this, you can simplify the expression:
3.5n + 6.7n = 10.2n
6.5p + 4.2p = 10.7p
9.5q - 7.9q = 1.6q
This added together gets us 1.6q + 10.7p + 10.2n
Feel free to reach out when you need more explanation!
Answer:
1.6q + 10.7p + 10.2n
Step-by-step explanation:
Perimeter is sum of distance around, so just add all 3 sides, combining like terms.
Number 9.) A car is driving at 90 miles per hour. What is its speed in feet per second? Roynd your answer to the nearest whole number
Answer:
132ft/s
Step-by-step explanation:
90mi/hr = ________ft/s 1hr = 3600s
1 mi = 5280ft
90mi/hr x 5280ft/mi x 1hr/3600s = 132ft/s (after cancelling units)
What is the inverse of f(x) = .5mx^2
Answer:
[tex]y =\sqrt{\frac{1}{.5m}x}[/tex]
Step-by-step explanation:
f(x) = .5mx^2
x = .5my^2
x/y^2 = .5m
y^2/x=1/.5m
y^2=1/.5m * x
[tex]y =\sqrt{\frac{1}{.5m}x}[/tex]
đo nhiệt độ người ta sử dụng mạch cầu đo nhiệt độ sử dụng nhiệt điện trở Pt-100, biết các điện trở của cầu R1=R2=1 ki lô ôm.
1,vẽ sơ đồ mạch đo, tính nguồn cung cấp cho mạch cầu với dòng điện cho phép là 5 mA
2,với dải đo nhiệt độ từ 0 đến 100 độ C thì điện áp ra của cầu có giá trị bao nhiêu?
Answer:
what is this what language
Pls answer the ques in the screenshot
Answer:
A) Rectangular Prism
B) Triangular Pyramid
C) Square Pyramid
Answer:
A) rectangle
B) triangular prism
C( square pyramid
The area of a square poster is 31 square inches.find the length of one side of the poster. Explain
Answer:
7.75
Step-by-step explanation:
31/4= 7.75
Which product is negative?
Answer:
Second answer
Step-by-step explanation:
first answer: 4 negative numbers multiplied = 2 postive numbers multipled = 1 positive number
second answer: 3 negative numbers multiplied = 1 positive number multiplied by 1 negative number = 1 negative number
third answer: Negative and positive numbers multiplied by zero = 0
fourth answer: 2 negative numbers multiplied by 2 positive numbers = 1 positive number multiplied by 1 positive number = positive number.
I don’t understand this at all
9514 1404 393
Answer:
9(x +y)
Step-by-step explanation:
You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...
9x +9y = 9(x +y)
_____
It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.
The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.
you are swimming each a 25-yard lap pool 3 seconds faster than your personal best what integer represents your change in time of your personall best after 200 yards
-2 (3y + 2) - 7z - 4(3z+ 8y )
how do you simplify expression with distribution?
Answer:
-38y - 19z - 4
Step-by-step explanation:
You meses to multiply the numbers outside the brackets with the values inside.
First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).
Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.
Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4
A college student earns $2700 per semester on her scholarship and budgets $270 per semester for texts. What percent of her semester scholarship earnings are spent on texts?
Answer:
10 percent
Step-by-step explanation:
please mark brainliest
10% of her semester scholarship earnings are spent on texts.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
The percentage of 270 out of 2700 is ;
(270/2700) × 100 %
⇒ 100/10= 10%
Hence "10% of her semester scholarship earnings are spent on texts".
For more about the percentage,
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find the circumference of this circle
Plz I rllyneed help on this give answers!
Answer:
The answer- I believe is 16.
Step-by-step explanation:
So first let's start with the square root of 4. The square root of 4 is 2 since 2x2 is 4.
Next, 45/5 is 9.
And, 125/25 is 5.
When you add all of them-
2+9+5
you get 16
The total amount of a telephone bill including 10% TSC are as follows: Find the grand total amoun if the VAT is 13%. (a) Rs 4500 (b) Rs 3000 (c) Rs 2500
Answer:
1. ..................
2. ,,,,,,,,,,,,,,,,,,
3. _______
Step-by-step explanation:
I don't know
2) Juanita is due for a 5% raise. She is currently making $350 a week. What is her new
weekly paycheck amount?
(explain please)
Answer:
$367.5
Step-by-step explanation:
$350 × 0.05% = $17.5
$350 + $17.5 = $367.5
The morning temperature in Finland was -18.3° F. The temperature rose 23.7°F during the day before reaching its high temperature for the day What was the high temperature for the day? I need helpppppppp
Answer:
5.4 degress
Step-by-step explanation:
The starting tempereture is -18.3 deegress and the it increased by 23.7 throughout the day. so we can convert this into a expression.
-18.3+23.7 = ?
this is the same thing as 23.7-18.3.
23.7-18.3=5.4
So the answer is 5.4 degress,
hope this helps!
The temperature for the day is 5.4° F.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity.
Given that;
The starting temperature is -18.3 degrees and then it increased by 23.7 throughout the day.
Now, We can formulate as;
23.7 + (-18.3)
Solve as;
= 23.7 + (-18.3)
= 23.7 - 18.3
= 5.4
So, The temperature for the day is 5.4° F.
Learn more about the measurement unit visit:
https://brainly.com/question/18559676
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Find the sum of the measures of the interior angles of
a convex polygon with 5 sides.
f(x) = 1
g(x) = x - 4
Can you evaluate (gºf)(0)? Explain why or why
not.
an astronaut is to be fire into an elliptical orbit about the earth having a minimum altitude of 800km and a maximum altitude of 5400km find the equation of the curve followed by the astronaut consider the radius of the earth to be 6400km
Answer:
X^2/9100+y^2/6800=1
Step-by-step explanation:
using your numbers, we have
b = 6400+800 = 7200
a = 6400+5400 = 11800
So, just plug that into the standard equation for an ellipse, with center at (0,0)
The equation of the ellipse is [tex]\rm \dfrac{x^{2} }{7200} } + \dfrac{y^{2} }{11800} } = 1[/tex].
EllipseEllipse is a locus of a point that moves in a plane such that the sum of its distances from the two points is called foci. It is taken from the cone by slicing it at an angle.
Given
The earth has a minimum altitude of 800km and
A maximum altitude of 5400km.
Astronauts consider the radius of the earth to be 6400km.
To findThe equation of the curve is followed by the astronaut.
How to find the equation of the curve followed by the astronaut?The earth has a minimum altitude of 800km and
A maximum altitude of 5400km.
Astronauts consider the radius of the earth to be 6400km.
The equation of the ellipse is given by
[tex]\rm \dfrac{x^{2} }{a^{2} } + \dfrac{y^{2} }{b^{2} } = 1[/tex]
Then
a² = 6400 + 800 = 7200
b² = 6400 + 5400 = 11800
Then the equation of ellipse will be
[tex]\rm \dfrac{x^{2} }{7200} } + \dfrac{y^{2} }{11800} } = 1[/tex]
Thus, the equation of the ellipse is [tex]\rm \dfrac{x^{2} }{7200} } + \dfrac{y^{2} }{11800} } = 1[/tex].
More about the ellipse link is given below.
https://brainly.com/question/19507943
What is this answer
Answer:
Indian ocean is one of the world's oceans
If
find each measure.