Answer:
D. 2√2
Step-by-step explanation:
In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.
x = 4/√2 = 2√2
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]
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.
Learn more about right-angled triangle here:
https://brainly.com/question/13263113
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What is the value of tan (–3 pi/4 )?
which expressions have value between 1 and 2? choose all that apply.
Answer:
its the first, 3rd, and 5th option
Step-by-step explanation:
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:
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!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
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
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
factorise using suitable identities
x^2 - 2x + 1
Answer:
(x - 1)^2
Step-by-step explanation:
using middle term break method
x^2 - 2x + 1
here, we need to numbers which gives 1 when multiplied and 2 when add .
=x^2 - (1 + 1)x + 1
=x^2 - x - x + 1
=x(x - 1) -1(x - 1)
=(x -1)(x - 1)
=(x - 1)^2
Step-by-step explanation:
by middle term factorisation method
x^2 -2x + 1
= x^2 -( 1+1)x + 1
= x^2 -x -x + 1
= x(x-1) -1( x -1)
= (x-1)(x-1)
OR
we know above polynomial ( quadratic ) equation is in form
(a - b )^2 = a^2 -2ab + b^2
so it's factories form is
( a- b)( a- b)
what are the domain and range of the function represented by the set of ordered pairs {(-6, 5), (-3, 2), (-1, 0), (5, -4)}
Answer:
[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]
Step-by-step explanation:
The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.
Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:
[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]
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
answer choices:
a. 66
b. 53
c. 87
d. 73
Thank you everyone for helping me this year to get good grades I am giving points.
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
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
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
How is this one done?
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
In right triangle ABC, sin M = cos 61. If 0
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
hi can somebody plz help me
Answer:Its the last one to the left up
Step-by-step explanation:
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.
Answer pleaseeeeee!!!
Answer:
The answer is option C
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is 3
.............. .......
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.
https://brainly.com/question/1563728
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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.
Will give brainliest if correct!!
Answer:
The smallest increment is 10 V and the uncertainty is 5 V.
The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers
Answer
“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:
At least one of the numbers contains 2³ in its factorization list.
At least one of the numbers contains 3² in its factorization list.
At least one of the numbers contains 5 in its factorization list.
“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.
“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.
The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.
The candidates for the 3rd number depends on how many 2s the 2nd number has.
If more than one: 2, 6, 18, 10, 30, 90
If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?