Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\sqrt{3}[/tex]/6
Step-by-step explanation:
30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
create a proportion: (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)
cross-multiply: 6x = [tex]\sqrt{3}[/tex]
divide by 6
(+5) - (-7)
thank you in advance
Answer:
12
Step-by-step explanation:
A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.
Answer:
Lower bound = 3.835
Upper bound = 3.844
Step-by-step explanation:
Given,
A number rounded to 2 decimal place = 3.84
In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.
Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.
Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.
Lower bound = 3.835
The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5
Upper bound = 3.844
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°
Question 1
Simplify
5y - 2y + y + y
Answer:
5y
Step-by-step explanation:
Which statement explains why 49 is a perfect square?
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 betweern 36 and 64
49 is equai to 7 times 7
On edge
Answer:
the statement that shows that 49 is a perfect square 49 is equal to 7 times 7
The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these
Answer:
A. parallel lines
You can also use the app desmos to help you graph equations.
The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?
a3 – b3 = (a – b)(a2 + ab + b2)
A. (x – 4)(x2 + 4x + 8)
B. (x – 4)(x2 + 4x + 16)
C. (x – 64)(x2 + 64x + 16)
D. (x – 64)(x2 + 64x + 4,096)
Answer:
B
Step-by-step explanation:
(x - 4) because a = x and b = 4, subsitute into (a - b)
(x2 + 4x + 16) because if a = x and b = 4, you subsitute them into (a2 + ab + b2) to get your answer
HURRY I NEED HELP
Does the graph shown below represent Y as a linear function of x
Yes or No
Answer:
no
Step-by-step explanation:
linear functions have straight lines
so this is not a linear function
Solve:
p−316=−212
What Is P?
Answer:
P=104
Step-by-step explanation:
-212+316=104
therefore p=104
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
At a bookstore, you buy a calendar for $5 and some books for $3 each. You spend a total of $26. How many
books do you buy? Use the following equation to find the number of books b bought; 3b+5=26
Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?
help fast please :) :) :) :) :)
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.
Answer: 16 yards would be your answer
The scale factor of ABCD to QRST is 1:2
The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.
Rectangle ABCD has a width of 8 yards and a length of 20 yards.
Rectangle QRST is similar to rectangle ABCD.
Rectangle QRST has a length of 40 yards.
Scale factor:Therefore, the scale factor of ABCD to QRST can be calculated as follows:
let
x = width of rectangle QRST
8 / x = 20 / 40
8 / x = 1 / 2
x = 16
The scale factor of ABCD to QRST is 1:2
Perimetersperimeter ABCD = 2(8 + 20) = 56 yards
perimeter QRST = 2(16 + 40) = 112 yards.
learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
Abby sold 152 copies of a CD she made for $13.99 each. If she earns 33% profit from each CD,about how much profit will she earn in all?
Answer:
$701.74
Step-by-step explanation:
33% of 13.99 is 4.6167
4.6167 x 152 is 701.7384
Rounding the thousandth gives you 701.74
Therefore the answer is $701.74
Can someone help me? please
Answer:
0.7>0.54
Step-by-step explanation:
I need help someone pls help me
Answer:
quit
Step-by-step explanation:
what do u think?
1. Dilate the function p(x) = (x+2),
by (2x + 4)
Answer:
Hi how are you doing today Jasmine
1by2 of x-1 by 2 equals 2x what is the valueof x
Answer:
[tex]x=-\frac{1}{7}[/tex]
Step-by-step explanation:
Select the correct answer.
What is V192 in simplest form?
OA. 32/3
OB. 3V
Ос.
OD
2748
Answer:
should be C 8v3
Step-by-step explanation:
hope this helps you
Answer:
8V3
Step-by-step explanation:
14 + 3 = 50 - 6
Please let me know quick with solving steps!
Answer:
Can you show me a picture, that would help.
which statement best describes this graph?
Answer:
the second one
Step-by-step explanation:
I need helppppppppppppp
Answer:
use math
Step-by-step explanation:
What number is 5/8 more than 3/16 ? Show how you calculated your answer.
Answer:
10/16
Step-by-step explanation:
Find the common factor between both
5/8 = 10/16
10/16 > 3/16
Solve -1/2 + (3/4 x 4/9) = ?
Answer:
=-1/6
Step-by-step explanation:
-1/2 + (3/4 * 4/9)
3/4 * 4/9 = 12/36
12/36 simplify to 1/3
-1/2 + 1/3 = -1/6
