Answer:
Answer below hopes it helps
Step-by-step explanation:
If the cube shown is 1 centimeter on all sides,what is the length of the diagonal,x of the cube ?round to the nearest tenth
Answer:
Length of the diagonal = 1.73 cm
Step-by-step explanation:
Side of cube = 1 cm
Length of diagonal = x = ?
The formula used to find length of diagonal of cube is: [tex]Diagonal=\sqrt{3}s[/tex] where s is length of side of cube.
We have s = 1
So, Length of Diagonal will be:
[tex]Length\:of\;Diagonal=\sqrt{3}s\\Length\:of\;Diagonal=\sqrt{3}(1)\\Length\:of\;Diagonal=1.73[/tex]
So, Length of the diagonal = 1.73 cm
Quadrilateral MNPQ is shown.
N
Р
R
4.1
30
32"
M
What is m NPQ?
O not enough information
O 62
0118
O 116
Answer:
62
Step-by-step explanation:
The value of measure of ∠NPQ will be;
⇒ ∠ NPQ = 118°
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The Quadrilateral MNPQ is shown.
Here, Quadrilateral MNPQ is an parallelogram.
So, By definition of parallelogram we have;
⇒ ∠ NMQ + ∠ NPQ = 180° ..(I)
Since, We have;
⇒ ∠ NMQ = 30° + 32°
= 62°
So, By equation (i),
⇒ 62 °+ ∠ NPQ = 180°
⇒ ∠ NPQ = 180 - 62
⇒ ∠ NPQ = 118°
Thus, The value of measure of ∠NPQ = 118°
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4x+20=3x solve for x
Answer:
x= -20
Step-by-step explanation:
A geometric series with 5 terms that begins with 8 and has a common ratio of 1/3.
The geometric series is...
The sum of the geometric series is...
Answer:
The geometric series is [tex]8,\frac{8}{3} ,\frac{8}{9},\frac{8}{27},\frac{8}{81}[/tex]
The sum of the geometric series is 12.06
Step-by-step explanation:
First term of geometric series = 8
Common Ratio = 1/3
The formula used to find next term is: [tex]a_n=a_1r^{n-1}[/tex]
Our series has five terms, so we need to find 2nd, 3rd, 4th and 5th term
2nd term is:
[tex]a_n=a_1r^{n-1}\\a_2=8(\frac{1}{3})^{2-1}\\a_2=8(\frac{1}{3})^{1}\\a_2=\frac{8}{3}[/tex]
3rd term is:
[tex]a_n=a_1r^{n-1}\\a_3=8(\frac{1}{3})^{3-1}\\a_3=8(\frac{1}{3})^{2}\\a_3=\frac{8}{9}[/tex]
4th term is:
[tex]a_n=a_1r^{n-1}\\a_4=8(\frac{1}{3})^{4-1}\\a_4=8(\frac{1}{3})^{3}\\a_4=\frac{8}{27}[/tex]
5th term is:
[tex]a_n=a_1r^{n-1}\\a_5=8(\frac{1}{3})^{5-1}\\a_5=8(\frac{1}{3})^{4}\\a_2=\frac{8}{81}[/tex]
So, The geometric series is [tex]8,\frac{8}{3} ,\frac{8}{9},\frac{8}{27},\frac{8}{81}[/tex]
Now, Finding the sum of geometric series
The formula used is: [tex]S_n=\frac{1-r^n}{1-r}[/tex]
We have n =5, r=1/3
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_5=\frac{8(1-\frac{1}{3}^5)}{1-\frac{1}{3} }\\S_5=\frac{8(1-\frac{1}{243})}{1-\frac{1}{3} }\\S_5=\frac{8(\frac{243-1}{243})}{\frac{3-1}{3} }\\S_5=\frac{8(\frac{242}{243})}{\frac{2}{3} }\\S_5=\frac{8(0.995)}{0.66}\\S_5=12.06[/tex]
So, The sum of the geometric series is 12.06
for each equation, determine if x=2 is a solution.
-2(x-4) = 4 and is it a solution why or why not?
-3.8x= -7.4 and is it a solution why or why not?
4 (x-1) -3 (x-2) = -8 is it a solution why or why not?
Answer:
-2(2-4)=4
-3.8x= -7.6
4(2-1)-3(2-2)
Step-by-step explanation:
Negative two times two equals negative four,negative two times negative four equals eight,negative four plus eight equals four.
Two times negative one point six, two times negative three six, negative six plus negative one point six equals negative seven point six.
Four times two and negative one equals four, negative three times two and negative two equals zero, four plus zero equals four.
ats
Brendon Walsh wants to borrow $40,000 from the bank. The interest rate is 6% and the term is for 5 years.
What is the monthly payment amount?
O $1,800
O $6,360
O $530
O $360
Answer:
Step-by-step explanation:
40000/100=400 which is 1% so 6% is 2400, but it's 5 years so 2400*5=12000. 40000+12000=52000 I do not know what you mean by monthly payment amount. But Brendon has to pay 52000 back to the bank. Please tell me what monthly payment amount mean!
Solve.
−5.1p + 3.8 = 86.93
Answer: p = -16.3
Step-by-step explanation:
86.93 - 3.8 = 83.13
83.13/-5.1 = -16.3
What is the image point of (4,−7) after a translation right 4 units and up 5 units?
Answer:
(8, - 2 )
Step-by-step explanation:
A translation of 4 units right means add 4 to the x- coordinate
A translation of 5 units up means add 5 to the y- coordinate
(x, y ) → (x + 4, y + 5 ) ← translation rule, then
(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )
Please help need aasap
Step-by-step explanation:
3000 is the base amount of money. (1+.02) represents an increase of 2% in interest each year. (1+.02)^n-2 ; where n equals her age today. So, n-2 is the time since the money was invested, or 16.
. The length of the subway is 855 miles. If 1 inch represents 45 miles, what is the length of the subway on the map
Answer:
19 inches
Step-by-step explanation:
Given data
The length of the subway is 855 miles.
we are told that 1 inch represents 45 miles on map
Required
we want to find the length of 855 miles in inches
Let us do the conversion from miles to inches
1 inches = 45 miles
x inches= 855 miles
cross multiply we have
x= 855/45
x= 19 inches
Hence the length on the map is 19 inches
(cosecA+1).(1-sinA)=cosA.cotA
please can you answer this as fast as possible
Answer:
step by step below
Step-by-step explanation:
(cscA+1).(1-sinA)=cosA.cotA
(1/sinA +1).(1-sinA) = 1/sinA*(1 - sinA) + 1*(1-sinA)
= 1/sinA - 1 + 1 - sinA
= 1/sinA - sinA
= (1 - sin²A) / sinA
=cos²A / sinA
= cosA*cosA / sinA
=cosA*cotA
What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply.
O-4
O-3
-
win
O 3
2
1 2 3 4
03
4
WILL MARK BRAINLIEST
Answer:
The solution to the equation is:
[tex]x=4,\:x=\frac{3}{2}[/tex]
Step-by-step explanation:
Given the equation
[tex]3\left(x-4\right)\left(2x-3\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-4=0\quad \mathrm{or}\quad \:2x-3=0[/tex]
now solving
[tex]x - 4 = 0[/tex]
adding 4 to both sides
[tex]x - 4 + 4 = 0 + 4[/tex]
simplifying
[tex]x = 4[/tex]
and also solving
[tex]2x - 3 = 0[/tex]
adding 3 to both sides
[tex]2x - 3 + 3 = 0 + 3[/tex]
simplifying
[tex]2x = 3[/tex]
divide both sides by 2
[tex]\frac{2x}{2}=\frac{3}{2}[/tex]
simplifying
[tex]x=\frac{3}{2}[/tex]
Therefore, the solution to the equation is:
[tex]x=4,\:x=\frac{3}{2}[/tex]
Answer:
4 or 3/2
Step-by-step explanation:
I had this question on a quiz, I got it correct.
Can someone please explain Pythagoras theorem !
Answer: phythagorean therorem??
Step-by-step explanation:
a^2 + b^2 = c^2
does that help or do you need more help?
Please help asap I’m so confused
Find the value of x and the measure of the angle labeled 3xº.
Answer:
x=9; angle measure is 27°.
Step-by-step explanation:
The Vertical Angles Theorem states that angles opposite each other (in an X) are equal. According to this theorem,
3x = 27
After some simple algebra:
x = 9 ^ Division Property of Equality
Answer:
A. x=9;angle measure is 27°
is the right answer
What is the value of t?
Answer:
54
Step-by-step explanation:
comment if you want a step-by-step
Help me pls i need help
Answer:
Exact Form: -29/5
Decimal Form:-5.8
Mixed Number Form:-5 4/5
Step-by-step explanation:
Solving special systems.
Answer:
The system has no solutions
Step-by-step explanation:
Here, we want to solve the given equation systems
we can simply rewrite the second equation as;
y = 7-8x
So, let’s equate the two y
-8x + 6= 7-8x
As we can see, we have -8x on both sides of the equation and this means that there is no solution to system
This is because no value of x will make it that the addition of 6 to -8x will
be same as that of adding 7
If Jon needs to find the value of cos P in △PQR
, which of the following ratios should he use?
Answer:
Pr/ok
Step-by-step explanation:
The ratio of cos P for the right-triangle PQR is PR/QR.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Right-triangle PQR.
Q
| \
| \
| \
P R
Cos P = PR / QR
Thus,
The ratio of Cos P is PR/QR.
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7g+9g=
i need this asap
Answer:
16g
Step-by-step explanation:
add them together
Answer:
16g
Step-by-step explanation:
They both have the same variable so they can be added together.
Simplify fully
2x power two + 9x + 10 ÷ 2x+5
pls need answer quickly
Answer:
2x^2+14x+5
Step-by-step explanation:
x^2+9x+5x+5
Combine Like Terms:
=2x^2+9x+5x+5
=(2x^2)+(9x+5x)+(5)
=2x^2+14x+5
A booker owns 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 video games. How many more video games does he have room for?
how do i solve this ons
Answer:
x=1, y=−4
Step-by-step explanation:
Divide each term by −2 and simplify.
x=−7y/2−13
7x+5y=−13
Replace all occurrences of x with −7y/2−13 in each equation.
−39y/2−91=−13
x=−7y/2−13
Solve for y in the first equation.
y=−4
x=−7y/2−13
Replace all occurrences of y with −4 in each equation.
x=1
y=−4
is this triangle a SSS, ASA, SAS, AAS, or HL
Answer: AAS
Step-by-step explanation: Because there are 2 angles and one side.
Answer:
HL
Step-by-step explanation:
These two triangles are congruent by the HL Congruence Theorem.
The HL Congruence Theorem states that two triangles are congruent if they meet the following requirements
They must be right triangles.Their hypotenuse must be congruent.One leg is congruent.For this triangle:
In this case, we see that both triangles are right triangles. The hypotenuse is congruent, since the hypotenuse for both triangles is the same line. Finally, we see that side AC is congruent to side CD.This triangle meets all the HL Congruence Theorem requirements!
Let me know if this helps!
15x – 4y = 18
What is this with fractions
Answer:
I will put this into fractions for you- I hope you meant that
Step-by-step explanation:
15x turns into 30/2x
-4y turns into -8/2x
And finally 18 turns into 36/2
So the whole equation looks like this-
30/2x-8/2x=36/2
P.S. I just multiplied everything by 2 and put 2 as the denominator
I need help simplifying
-2m+9m+8
Answer:
7m+8
Step-by-step explanation:
Micah is saving for a new skateboard. It costs $65, including tax. Micah has already saved $37. What in the equation?
Answer:
x + 37 ≥ 65
Step-by-step explanation:
Given:
Money Micah wants = $65
Money Micah had = $37
Find:
Money Micah need
Computation:
Money Micah need(x)
x + 37 ≥ 65
So,
Money Micah need = 65 - 37
Money Micah need = $28
5/6 of a number is 45 find the number
Answer: 54
Step-by-step explanation:
We know that 45 is 5/6. So that means 45/5=9. 9 is 1/6. 9x6=54 is 54. 54 is the number.
8 — 16 — 8n.
What is n?
Answer:
8 — 16 — 8n = 0 +> -8-8n=0 => -8(n+1)=0
=> = - 1
Step-by-step explanation:
Find m2ABC.
C/ 98°
5x + 2
6x + 8
A
B
Answer:
2
Step-by-step explanation:
i need help lol. please give me an explaination as well ty <3