Step-by-step explanation:
( x + 3 + 2 radical 2) (x +3 - 2 radical 2)
so x = - 3+2 radical 2 or x= - 3 +2 radical 2
AB is side of regular hexagon and AC
is a side of a regular 8 sided polygon find: angle AOB , AOC,BOC,OBC
Answer:a
Step-by-step explanation:
Which of the following sets of numbers could represent the three sides of a triangle?
Answer:
Step-by-step explanation:
The longest side must be less than or equal to the sum of the two other sides. Only {8,16,23} and {7,14,21} are possible.
Answer:
(7, 14, 21)
(8, 16, 23)
Step-by-step explanation:
What is the rate of change for (0,5) (-6,-3)
Answer:
[tex]1 \frac{1}{3}[/tex]
Step-by-step explanation:
rate of change = Δy / Δx = y2 - y1/x2 - x1
= -3 - 5/-6 - 0
= - 8/-6
= 1 and 1/3rd
- 6 + \sqrt{9 - 8a} = 1−6+
9−8a
=1
Answer:
[tex]a = -5[/tex]
Step-by-step explanation:
Given
[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]
Required
Solve for a
[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]
Add 6 to both sides
[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]
[tex]\sqrt{9 - 8a} = 7[/tex]
Square both sides
[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]
[tex]9 - 8a = 49[/tex]
Subtract 9 from both sides
[tex]9-9 - 8a = 49-9[/tex]
[tex]- 8a = 40[/tex]
Make a the subject
[tex]a = -\frac{40}{8}[/tex]
[tex]a = -5[/tex]
Plz answer this question:
Answer:
90°
Step-by-step explanation:
5x+20=9x
20=9x-5x
20=4x
x=5
5x+20+9x=
5(5)+20+9(5)=
25+20+45=
90
The sales tax in Texas is 8.25% and an item costs $600. How much is the tax?
Answer:
49.5
Step-by-step explanation:
solucion plis 4x- 2x > -8 -6
The answer is,
[tex]x > - 7[/tex]
hope it helps.
Answer:
x>-7
Step-by-step explanation:
4x-2x>-8-6
-2x>-14
x>-7
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her
hours reduced by 10%.
How much more will she be earning per hour at her new job?
Answer:
Step-by-step explanation:
current rate = $729/(45 hours) = $16.20/hour
increased salary = 1.10×$729 = $801.90
decreased hours = 0.90×45 = 40.5
increased rate = $801.90/(40.5 hours) = $19.80/hour
increase in rate = $19.80/hour - $16.20/hour = $3.60/hour
UM PLEASE HURRY FOR ANSWERING THIS!!!
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 15 cm
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Hope this helps!
Answer:
I believe it's Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°. I'm not so sure sorry if it's incorrect
Step-by-step explanation:
please help me solve this question
Answer:
The equation B can be used to solve for x
B. 7x + 11x = 90
THERE ARE 7 CONSECUTIVE NUMBERS.
IF THE LARGEST NUMBER 15 99, WHAT
IS THE SUM OF ALL THE GIVEN NUMBENS.
Answer:
S₇ = 672
Step-by-step explanation:
If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller consecutive numbers:
Smallest number = 99-6 = 93
The sequence is 93, 94, 95, 96, 97, 98, 99.
Where:
a₁ = 93
an = 99
n = 7
Sum of the sequence:
Sn = n/2(a₁ + an)
S₇ = 7/2 (93 + 99)
S₇ = 7/2 (192)
S₇ = 7(96)
S₇ = 672
Please answer this I need helllp
Answer:
Equation: y = 2x
Graph: see attachment
Step-by-step explanation:
Pieces of paper = x
Number of Valentines = y
The equation is a proportional equation and can be represented as y = kx
k is the constant of proportionality
k = y/x
Using (2, 4),
k = 4/2 = 2
To find the equation, substitute k = 2 into y = kx
Thus:
y = 2x
The graph has been plotted and attached below.
PLZ HELP ME THIS IS 7TH GRADE MATH I NEED HELP ASAP
Answer:
8 is 73 corresponding and 9 is 107 supplementary
Step-by-step explanation:
4.5 = 1.5x
4.5 ÷ ___ = 1.5x ÷ ___
___ = x
Answer:
The value of x is 3.
Step-by-step explanation:
The steps are :
4.5 = 1.5x
4.5 ÷ 1.5 = 1.5x ÷ 1.5
3 = x
Is -6/3 a whole,integer,or rational
Answer:
-6/3 is a rational
Step-by-step explanation:
its a rational because it expresses as the ratio of two integers.
Rename The following decimal form into fraction form. 1)0.75 2)0.35 3)0.24
Answer:
1) 3/4
2) 7/20
3) 6/25
Step-by-step explanation:
1) 0.75
= 75/100
= 3/4
2) 0.35
= 35/100
= 7/20
3) 0.24
= 24/100
= 6/25
Hope it helps!
A solenoid has a magnetic field of magnitude 0.50T when carrying a current of 400 A. The solenoid is 8.0 m long. What is the number of turns in this solenoid, assuming that it is an ideal solenoid?
Answer:
The correct answer is "995.22 turns".
Step-by-step explanation:
The given values are:
Magnetic field,
B = 0.50 T
Current,
i = 400 A
Length of solenoid,
L = 8.0 m
As we know,
⇒ [tex]B=\mu_0ni[/tex]
then,
⇒ [tex]n=\frac{B}{\mu_0i}[/tex]
On substituting the given values, we get
⇒ [tex]=\frac{0.50}{4 \pi\times 10^{-7}\times 400}[/tex]
⇒ [tex]=\frac{0.50}{5.024\times 10^{-4}}[/tex]
⇒ [tex]=995.22 \ turns[/tex]
triangle inequality proof
/a + b/ ≤ /a/ + /b/
Answer:
a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\
Step-by-step explanation:
a. Renard let’s t= the number of taffy bags and c= the number of Carmel bags. Help him write two equations to represent the information in the problem.
b. Now are are is stuck. He says, “if both of the equations were in the form ‘t= something’, I could set the two expressions equal to each other to find the solution.” Help him rewrite the equations into a form he can use to solve the problem.
c. Solve Renard’s system of equations to find the number of bags of Carmel and number of bags of taffy that Ariel bought.
d. How you can verify that your solution is correct?
Answer:
20 taffy bags and 15 caramel candy bagsStep-by-step explanation:
Given:
t = the number of taffy bagsc = the number of caramel bagsNumber of taffy's are 5 more than caramel bagsTaffy bags weigh 8 ounces and caramel bags weigh 16 ouncesTotal weight is 400 ouncesEquations:
t = c + 5 (the difference in number of bags)8t + 16c = 400 (the weight of the bags)Simplify the second equation by dividing all terms by 8:
t + 2c = 50Substitute t and solve for c:
c + 5 + 2c = 503c = 50 - 53c = 45c = 45/3c = 15Find the value of t:
t = 15 + 5 = 20Answer:
20 taffy bags and 15 caramel candy bags
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
M = -4/3. B = 8
Negative slope
Step-by-step explanation:
But not sure if it’s proportional or not
if £1 = 0.864 Lt, work out the amount, to the nearest penny , that 1 Lt is worth
Answer:
[tex]1\ Lt = \pounds 1.157[/tex]
Step-by-step explanation:
Given
[tex]\pounds 1 = 0.864\ Lt[/tex]
Required
Determine the worth of 1 Lt
[tex]\pounds 1 = 0.864\ Lt[/tex]
Divide both sides by 0.864
[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]
[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]
[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]
[tex]1\ Lt = \pounds 1.157[/tex] -- approximated
Swimming pool was 9 meters wide with an area of 90 square.What is the length of the pool?
Answer:
90/9 = 10, the length of the pool. This can be proven as 10 x 9 = 90²
Step-by-step explanation:
I really don't know how to do this-
Answer:
b is correct
Step-by-step explanation:
460 000 X 500 000
In Scientific notation
Answer:
2.3 x 10^11
Step-by-step explanation:
pls help will give brainlyist
A circular patio has a diameter of 4 yards. What is the area of the patio? Use 3.14 for it.
A. 25.12 yd?
B. 6.28 yd?
C. 12.56 yd2
D. 50.24 yd2
Answer:
a
Step-by-step explanation:
Select the correct answer from each drop-down menu. Complete each sentence about types of photography. photography involves capturing the subject of your photograph in motion, whereas photographing Inanimate objects. > photography involves
Answer:
1. whale 2. crowded boat
Step-by-step explanation:
on edge
Answer:
1. whale 2. crowded boat yw
Step-by-step explanation:
COMPLETE THE TABLE!!!!!!!!!!!
Answer:
4, 5, 6, 7
Step-by-step explanation:
Calculate the value for each determinant:
Answer:
See explanations below
Step-by-step explanation:
Example of how to find the determinant of a 2×2 matrices is as shown;
[tex]\left[\begin{array}{ccc}a&b\\c&d&\end{array}\right][/tex]
= (a*d)-(b*c)
= ad - bc
Applying this to solve the given questions
1) (3*4) - (-3*-1)
= 12 - (3)
= 9
2) (-12*5)-(-1*12)
= -60 - (-12)
= -60+12
= -48
3) (0*4)-(-1*17)
= 0-(-17)
= 0+17
= 17
4) (8*-1)-(-4*-1)
= -8-(4)
= -8-4
= -12
5) (2*-1)-(2*-1)
= -2-(-2)
= -2+2
= 0
6) 1(1) - 0(0)
= 1 - 0
= 1
In a class where the number of girls is 36% of the total number, there are 48
boys. How many students are there in the class?
Answer:
75 students
Step-by-step explanation:
100- 36=64
64%=48
36=????
36/64 × 48
= 27 girls
total 27+48=75 students
Answer:
48 / 64% = 75 students total
Step-by-step explanation:
2, 6, 14, 39, 49, 5, 54, 47, 41, 55, 8, 47, 23, 6
What is the outliers?
Answer:
I think the outliers are 2, 5, 6, and 6. Not sure about 8 though