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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What is the volume of the rectangular prism below
Answer:
D. 501,120mm^3
Step-by-step explanation:
Volume of a rectangle:
length x width x height
So, plug in what you know:
80*104.4*60=
501,120mm^3
Which table represents exponential growth?
Step-by-step explanation:
the second is ur answer
x|y
1|2
2|4
3|8
4|16
What is the domain of the function graphed below?
Greater than or equal- >=
Less than or equal -<=
A)x<7
B)x<=7
C)-2<=x<=3
D) all real numbers
Answer:
A
Step-by-step explanation:
The domain of the function graphed below is set of all numbers less than 7 or x<7.
What is the domain of a function?The domain of a function f(x) is the set of points(representing independent variable x) to define the function.
In the shown graph of the function,
The given function is defined everywhere except 7 and greater than 7.
So, the domain of the function is x<7.
Hence, the domain of the function graphed below is set of all numbers less than 7 or x<7.
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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.
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
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.
Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is the probability of getting '13'? c) What is the probability of getting '21'? d) What result should occur the most?
Answer:
Find the theoretical probability that you will choose each color. P(green) = ___/___ ... 98% or 100%. 3. Bailey uses the results from an experiment to calculate the probability of each color of block being chosen from a bucket. He ... If the sum of the two number cubes in even, Player 1 (or) 2 scores a point.
Step-by-step explanation:
The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.
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
Given a standard six-sided die, what is 1 point the probability of rolling a 2? Please use a fraction bar (/) OR a colon (:) to represent your answer.
Answer:
1/6
Step-by-step explanation:
We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)
well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.
Answer:
1/6
Step-by-step explanation:
There are six possible outcomes when rolling a die
1,2,3,4,5,6
P(rolling a 2) = number of outcomes that is a 2/ total outcomes
= 1/6
Please someone help quickly!!!
Answer:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Step-by-step explanation:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
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:
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
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]
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 )
PLSS HELP NEED ANSWER RIGHT NOW BEFORE THE TIME ENDS!
THANK YOU!!
Answer:
third box
first box
second box
Step-by-step explanation:
1/3x + 1/4 -2/3x; combine like terms
-1/3x + 1/4 (third box)
1/3x + 1/4 + 2/3x; combine like terms
(3/3)x +1/4 (first box)
3/3 is 1, so we don't have to write it
2/3 + 3/4x -1/3; combine like terms
1/3 + 3/4x (swap, and is second box)
Find the volume of the triangular prism.
Answer:
18 i think
Step-by-step explanation:
Determine the maximum or minimum value of the quadratic function from its equation.
Answer:
Below in bold.
Step-by-step explanation:
y = 4(x + 2)^2 + 4
As the coefficient of x^2 is positive it will have a minimum value.
The minimum value is the last term = 4.
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
Answer pleaseeeeee!!!
Answer:
The answer is option C
One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is 3
.............. .......
Please I need help with this!!!!!!
Answer:
Step-by-step explanation:
1) Step 4: Marc has converted radical form to exponent form
Step 5: He has evaluated the value of the radical
3)
[tex]x = \sqrt[3]{8}[/tex]
Here, 3 is index and 8 is radicand.
Prime factorize 8 and for every 3 numbers we can take one number outside the radical
Solution:
[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]
4) No,my equation does not have an extraneous solution.
My solution, satisfies the equation
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]
HELP FAST TO WHOEVER CAN PLEASE !!
y< 3x + 12
y> 5x + 7
Answer:y< 3x + 12
y> 5x + 7
Step-by-step explanation:
Factor the following expression.
x4 + x2 – 20
Answer:
2(2x+x-10)
Step-by-step explanation:
The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.
Answer: (−2)(+2)(/2+5)
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
which expressions have value between 1 and 2? choose all that apply.
Answer:
its the first, 3rd, and 5th option
Step-by-step explanation: