Answers:
1.) x - 3, x < -3
2.) x - 3, x>3
3.) x - 3, -3 <_ x > 3
4.) 2/5, 3/6
5.) 8, 10
Answer pleaseeeeee!!!
Answer:
The answer is option C
Given right triangle ABC, which of the following statements must be true
Check all that apply.
A. sin A = Cos(90° - A)
B. cosA = sin C
C. ZA and ZC are supplementary
D. sin A = Cos(90°-C)
A + B are correct
via a p e x
The correct statements are A and B
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'
According to the given problem,
cos(A−B) = cosAcosB + sinAsinB .
Let A=90∘, B = a
Therefore.
cos(90∘−a) = cos90∘cosa + sin90∘sina.
Here, we have,
cos90∘ = 0, sin90∘ = 1.
cos(90∘−a) = sina
Now, we know,
sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
For ∠BAC,
cosA = [tex]\frac{AB}{AC}[/tex]
For ∠ACB,
sinC = [tex]\frac{AB}{AC}[/tex]
Hence, we can conclude, A and B are the true statements for the given right-angled triangle.
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Thank you everyone for helping me this year to get good grades I am giving points.
One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is 3
.............. .......
What type of graph uses intervals to show the frequency of data?
+
A. Bar graph
B. Line graph
C. Histogram
O D. Circle graph
SUB
simplify (5+1)2 - (12+32) /3
Answer:
-8/3
Step-by-step explanation:
(5+1)2 - (12+32) /3
(6)(2) - (44)/3
12 - 44/3
-8/3
Question: Solve for x.
Answer:
x = 24
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(14+18)* 18 = x^2
32*18 = x^2
576 = x^2
Take the square root of each side
sqrt(576) = sqrt(x^2)
24 =x
Ravi and Bella start watching a dvd a 7:40. The dvd lasts for 2 hours 25 minutes. At what time do they stop watching the dvd.
Answer:
10:05
Step-by-step explanation:
10:05
7:40+2 hours =9:40+25=10:05
The equation of a circle is (x-5)^2+(y-7)^2=36. What is the radius of the circle?
[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]
The equation of a circle is represented as :
[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]
where,
"h" represents x - coordinate of the center of circle "k" represents y - coordinate of the center of circle" r " represents Radius of the given circleSo, from above equation we get:
[tex] {r}^{2} = 36[/tex][tex]r = 6[/tex]Therefore, Radius of the given circle measures 6 units.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
3. (05.02 LC) You can draw a quadrilateral with no parallel lines and at least one right angle. (1 point) True or False
======================================================
Explanation:
If you have exactly one right angle, then it is possible to have no parallel lines. See the diagram below. Refer to the upper figure.
If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.
If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.
It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.
Need help with this question!!!
The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.
A test has several multiple choice questions, each with 5 choices. If you guess on 4 questions, what is the probability that you get all 4 correct
Answer:
4/20 or 1/5
Step-by-step explanation:
number of guesses/total possible outcomes (formula for this question since it is an independent event)
total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)
total possible outcomes: 20
number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)
number of guesses: 4
number of guesses/total possible outcomes = 4/20 or 1/5
(I might be wrong lol, I haven't learned it in a long time)
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age
Answer:
38.5 years old
Step-by-step explanation:
Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.
(Mrs.Kelly's age) + (Brother) = (62)
Substitute,
(k) + (k - 15) = 62
Simplify,
k + k - 15 = 62
2k - 15 = 62
Inverse operations,
2k - 15 = 62
2k = 77
k = 38.5
What is the equation of the line that passes through the point (−4,−8) and has a slope of 4?
Answer:
i hatee maths thank u
Step-by-step explanation:
Which table represents exponential growth?
Step-by-step explanation:
the second is ur answer
x|y
1|2
2|4
3|8
4|16
Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
9,315 km
Step-by-step explanation:
Recall that distance = rate times time.
The distance flown at 950 km/h is (950)(5) km = 4,740 km
and:
The distance flown at 830 km/h is (830)(5.5) km = 4,565 km
Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km
Solve for X answer as a whole number
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
Someone help me please
Answer:
-32..............
......
Answer:
-32.
Step-by-step explanation:
This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.
You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?
Answer:
4 – 5x = 59, x = -11
Step-by-step explanation:
The given equations is :
4 – 5x = 59
Subtracting 4 both sides,
4 – 5x -4 = 59-4
-5x = 55
Dividing both sides by -5.
x = -11
So, the answer of the given equation is -11.
Determine whether the equation is a linear equation. If so, write the equation in standard form.
a) y = 2x – 3
b) + =
c) 4x = 2y
Step-by-step explanation:
The general form of a linear equation is given by :
y = mx +b
Where
m is the slope
b is the y-intercept
(a) y = 2x - 3
It is in the form of a linear equation.
Standard form, y =2x+(-3)
(b) The equation is 4x = 2y
or
2y = 4x
y = 2x + 0
It is in the form of a linear equation with slope of 2 and y-intercept of 0.
Lily bought a car for $13500. She paid for it in 36 equal monthly payments. Calculate the amount she paid each month.
Answer:
375
Step-by-step explanation:
Lily paid $750 each month for 36 months to pay off her car loan.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the amount that Lily paid each month, we can divide the total cost of the car by the number of monthly payments:
So,
Amount paid each month
= Total cost / Number of payments
In this case,
The total cost is $13,500 and the number of payments is 36:
Amount paid each month = $13,500 / 36
We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor of 13,500 and 36, which is 18:
Amount paid each month = $750
Therefore,
Lily paid $750 each month for 36 months to pay off her car loan.
Learn more about expressions here:
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which expressions have value between 1 and 2? choose all that apply.
Answer:
its the first, 3rd, and 5th option
Step-by-step explanation:
I’m the parallelogram above, what is the value of x+y
Help please
Answer:
x + y = 248
Step-by-step explanation:
Using the property : Sum of co- interior angles = 180
[tex]\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ[/tex]
The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.
According to the definition, the value of 'x' and 'y' will be equal.
And the sum of adjacent angles will be 180 degrees. Then the equation is given as,
x + 56° = 180°
x = 124°
The sum of 'x' and 'y' is given as,
x + y = 124° + 124°
x + y = 248°
More about the parallelogram link is given below.
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solve for x round to the nearest tenth if necessary
Answer:
x ≈ 7.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin69° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{7.2}{x}[/tex] ( multiply both sides by x )
x × sin69° = 7.2 ( divide both sides by sin69° )
x = [tex]\frac{7.2}{sin69}[/tex] ≈ 7.7 ( to the nearest tenth )
Find the volume of the triangular prism.
Answer:
18 i think
Step-by-step explanation:
Fill in the blanks with two consecutive integers to complete the following inequality.
? < √97 < ?
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
=====================================================
Explanation:
Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2
We can apply the square root to all three sides to get the following
[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]
Using a calculator, we can help verify this
[tex]\sqrt{97} \approx 9.85[/tex]
HURRYYY
Which expression is equivalent to E
1 (3),
n=10
15
15
3
Ση + Σ
=10 η = 10
31
O
15
15
15
Ση + Σ3 - Ση
h=10
h=10
η=10
15
3
Ο η Σ
η
η =10
Σ
8
15
3
Ση
η
η=10
Answer:
the first one
Step-by-step explanation:
it is really easy to see in this case.
the main formula is just a sum of a sum.
anything you just add you can split in its parts and then sum it all up - it is still the same.
so, the sum of (n + 3/n) can be split without any additional tricks into the sum of n and the sum of 3/n, and then add both results together.
the second option is wrong, because a division cannot be split like an addition. just try the first two elements (n=10 and n=11) for the simplified formula of the sum of (3/n). 3/10 + 3/11 is definitely not the same as (3 + 3) / (10 + 11).
the third and fourth option are already disqualified, because "n" assists outside of the sum operation (but "n" is only defined inside of it).
For which equations does the fraction 13 make the equation true? A 6x __=3 B 6x__=2 C 7x__=7/21 D 8x__=3 1/3
Answer:
B. 6 x 1/3 = 2
Step-by-step explanation:
2 is 1/3 of 6
So multiplying 6/1 (6) bu 1/3 :
6/1 * 1/3 = 6 / 3 = 2
If my answer is incorrect, pls correct me!
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-Chetan K