Answer: x = 10
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION
Answer:
x = 2√58
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle)
Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:
a² + b² = c²
⇒ a² + 6² = (6√2)²
⇒ a² = (6√2)² - 6²
⇒ a² = 36
⇒ a = 6
Now we have the base and height of the larger interior triangle, we can calculate x:
a² + b² = c²
⇒ 6² + 14² = x²
⇒ x² = 232
⇒ x = √232
⇒ x = 2√58
[tex]\\ \rm\Rrightarrow \dfrac{6\sqrt{2}}{6}=\dfrac{x}{14}[/tex]
[tex]\\ \rm\Rrightarrow 6x=84\sqrt{2}[/tex]
[tex]\\ \rm\Rrightarrow x=14\sqrt{2}[/tex]
DoneSolve the equations
1. 1/2(6t-4)=3t-2
2. 1/3(2b+9=2/3(b+9/2)
HELP PLEASE
Answer:
#1 - All real numbers are solutions.
#2 - All real numbers are solutions.
Step-by-step explanation:
#1 -
Let's solve your equation step-by-step.
12(6t−4)=3t−2
Step 1: Simplify both sides of the equation.
12(6t−4)=3t−2
(12)(6t)+(12)(−4)=3t+−2(Distribute)
3t+−2=3t+−2
3t−2=3t−2
Step 2: Subtract 3t from both sides.
3t−2−3t=3t−2−3t
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Same for #2
1.A rectangular prism has a volume of 1080 cubic cm. Its dimensions are 5 cm, (x + 12) cm, and (x + 6) cm. What is the value of x?
Answer:
x = 6 cm
Step-by-step explanation:
Volume of a rectangular prism = length × width × height
Length = 5 cm
Width = (x + 12) cm
Height = (x + 6) cm
Volume of a rectangular prism = 1,080 cubic centimeter
Volume of a rectangular prism = length × width × height
1080 = 5 * (x+12) * (x+6)
1080 = 5 (x^2 + 6x + 12x + 72
1080 = 5 (x^2 + 18x + 72)
1080 = 5x^2 + 90x + 360
Divide through by 5
216 = x^2 + 18x + 72
Subtract 216 from both sides
x^2 + 18x + 72 - 216= 0
x^2 + 18x - 144 = 0
Using factorization method to solve the quadratic equation
x^2 + 24x - 6x - 144 = 0
x( x+ 24) - 6 ( x + 24) = 0
(x + 24) (x - 6) = 0
x + 24 = 0
x = -24
x - 6 = 0
x = 6
x = -24 or 6
x can not be a negative value , so, x = 6 cm
9. Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the boat if the total cost was $33. Solve.
h =
Just give the answer, no h =
Answer:
9 hours
Step-by-step explanation:
What is the factorization of 216x12 – 64? (6x3 – 4)(36x6 24x3 16) (6x3 – 4)(36x9 24x3 16) (6x4 – 4)(36x8 24x4 16) (6x4 – 4)(36x12 24x4 16)
The solution to the given expression is (6x^4-40)(36x^8+48x^4+16)
What will be the equation?We have the following expression
[tex]=216x^{12}-64[/tex]
we can also write it as
[tex]=(6x^4)^3-(4)^3[/tex]
Now from the formula
[tex]a^3-b^3=(a-b)(a^2+b^2+2ab)[/tex]
[tex](6x^3)-(4)^3=(6x^4-4)((6x^4)^2+(4)^2+(2\times 6x^4\times 4)[/tex]
[tex](6x^3)-(4)^3=(6x^4-4)((6x^8+16+(48x^4))[/tex]
[tex](6x^3)-(4)^3=(6x^4-4)(6x^8+48x^4+16)[/tex]
Thus the solution to the given expression will be
[tex](6x^4-40)(36x^8+48x^4+16)[/tex]
To know more about algebraic identity follow
https://brainly.com/question/662239
What is the measure of an exterior angle of an equilateral triangle?
Answer:
120
Step-by-step explanation:
An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120
A square has 4 sides. Each exterior angle = 360 / 4 = 90
A regular n gon has n sides. The exterior angles will be 360/n
Please answer and I Will give you Brainliest
Answers:
x = 10
y = 61
===================================================
Explanation:
The two angles at the bottom add to 180, since they form a straight angle.
y+119 = 180
y = 180-119
y = 61
The angle (5x+11) and angle y = 61 are corresponding angles. They are congruent because of the parallel lines
5x+11 = y
5x+11 = 61
5x = 61-11
5x = 50
x = 50/5
x = 10
Note that
5x+11 = 5*10+11 = 50+11 = 61
which matches with y = 61, so that helps confirm the right x value.
Answer:
Y=61
X=10
Step-by-step explanation:
180-119=61=y
61=5x+11
50=5x
x=10
What is the following sum?
RootIndex 3 StartRoot 125 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot + RootIndex 3 StartRoot 27 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot
8 x cubed y Superscript 4 Baseline (RootIndex 3 StartRoot x y EndRoot)
15 x Superscript 6 Baseline y Superscript 8 Baseline (RootIndex 3 StartRoot x y EndRoot)
15 x cubed y Superscript 4 Baseline (RootIndex 3 StartRoot x y EndRoot)
8 x Superscript 6 Baseline y Superscript 8 Baseline (RootIndex 3 StartRoot x y EndRoot)
Answer:
If this is from edge the answer is B.
Step-by-step explanation:
I just had this question on edge 2022
Lmk if u got it right :)
Answer:
a
Step-by-step explanation:
on edge
Add three cube numbers.
Answer:
, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from
What decimal goes in the empty box on the grid? Enter your answer in the box.
Answer:nAvsghahsgdg
Step-by-step explanation:
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
There are 6 sides to this cube.
There are two sides to this coin.
To roll a number less than two, you can only roll a 1.
So there is a 1/6 chance of getting a 1.
To get heads on a coin, there is only a 1/2 chance.
If you wanted to get both these desired outcomes, the chance of getting these are;
1/6 x 1/2
= 1/12 is the probability.
Please help!!! I need this ASAP
− 4, −1, 0, 4
Which pair of numbers has a sum of 0? (5 points)
Question 1 options:
1)
4, −1
2)
−4, 0
3)
−1, 0
4)
−4, 4
Please I need to know soon thank you! god bless
Answer:
-4 and 4.
Step-by-step explanation:
they are both the same distance away from zero on a number line so they cancel out to equal 0
Answer:
4
Step-by-step explanation:
4-4=0 we know that for the number to be zero it has to subtract the opiset of itself such a 4 and -4
Smallest to largest: 15/25 16/30 9/27
Answer:
Smallest: 9/27
Second: 16/30
Largest: 15/25
Step-by-step explanation:
15/25= 0.6
16/30= 0.53
9/27= 0.33
Easiest way to do this is to do this is to make them have the same digits.
0.60 or 0.6
0.53 or 0.5
0.33 or 0.3
now, you just find the order of these smallest to largest...
3, 5, 6
0.33, 0.53, 0.60
0.3, 0.5, 0.6
9/27, 16/30, 15/25
Hope this helps, Brainliest is appreciated :)
Have a Great day! cx
~Mitsuna
What is the answer to this? I will give 30 points and brainllest to the first person to answer correctly.
Answer:
15. 60% of 25 is 15.
At a movie theater, the size of popcorn bags decreased by 20%. Id the old bags held 15 cups of popcorn , How much do the new bags hold?
Answer:
25
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i need the answer asap lol..
Answer:
144
Step-by-step explanation:
sense you have the line in the triangle you would add that to the 16 (length) and multiply that by the 6 (hight) and that would be the area (144)
What is log subscript 6 baseline e superscript f rewritten using the power property? e log subscript 6 baseline f f log subscript 6 baseline e log subscript 6 baseline (e times f) log subscript 6 baseline (e f)
The value of the given expression will be [tex]\rm (f\ Log_6\ e)[/tex]
What will be the value of the given expression in the question?It is given in the question that
log subscript 6 baseline e superscript f
When we convert it into the mathematical form we get
[tex]\rm=Log_6\ e^f[/tex]
Now from logarithmic property
[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]
By using this property the expression will become
[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]
Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]
To know more about Logarithmic functions follow
https://brainly.com/question/13473114
Answer:
flog6e
Step-by-step explanation:
promise it's correct
Find f(4) when f(x) = 3x + 7
Answer:
I made a mistake I was trying to say something else
Explanation:
Question 6 of 10
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and width of the TV?
A. 13/2 inches by 13/2 inches
B. 52 inches by 5213 inches
C. 13 inches by 13/5
D. 5212 inches by 52/2 inches
SUBMIT
Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left. What was the weight of each bag cant figur it out 5th grade math
Answer:
1.675 lb
Step-by-step explanation:
Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.
So, after mixing, the total amount of mixture is
6.83 lb + 3.57 lb = 10.40 lb.
After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.
So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.
The weight of one bag =\frac {10.05}{6} lb
=1.675 lb
As all the bags are of the same size, so the weight of all the bags are same,
Hence, the weight of each bag is 1.675 lb.
100 POINTS!!!
If you have a line parallel to the line given by the equation
what would be the slope of the parallel line?
EXPLAIN
Answer:
A.
Step-by-step explanation:
The slope of the line parallel to the original line is the same. And you don't add x after the slope.
Round the following number to 2 decimal places
a) 58.9871
Answer:
what you need to be more specific like forward or backward if forward it`s 60.0000 if backwards its 5898.00
Step-by-step explanation:
what is2(12-w)=-2(w-17)-10
Answer:
17=w
Step-by-step explanation:
decompose the brackets
24-2w=2w-34-10
collect like terms
24+34+10=2w+2w
68=4w
divide by 4
17=w
Half a number plus 5 is 11.What is the number?
Let x be the number
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]
[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]
[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]
Hello.
First, "half a number" means we divide that number by 2.
Let's say the number is z.
Divide z by 2:
[tex]\displaystyle\frac{z}{2}[/tex]
Add 5 to it:
[tex]\displaystyle\frac{z}{2} +5[/tex]
Now, this expression equals 11:
[tex]\displaystyle\frac{z}{2} +5=11[/tex]
Subtract 5 from both sides:
[tex]\displaystyle\frac{z}{2} =11-5[/tex]
[tex]\displaystyle\frac{z}{2} =6[/tex]
Now, in order to get rid of the fraction, we should multiply the entire equation by 2:
[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]
[tex]z=6*2[/tex]
[tex]\Large\boxed{z=12}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
9p + 7c = p Solve for c in the literal equation
Answer:
I say do 9+7 then add a p to whatever you get
Step-by-step explanation:
help me please? can you please?
Answer:
C, $40
Step-by-step explanation:
Based on the pattern shown here, the employee is gaining $10 for every hour they spend working. This means that if the employee works for 4 hours, they get 4*10=$40.
As the worker gets $10 per hour
Step-by-step explanation:
For 4 hours
$10 x 4 = $40
so for working four hours the worker will get $40
Wilma works at a bird sanctuary and stores bird seed in plastic containers. She has 5 small containers that holds 8 pounds of bird seed each and 6 large containers that hold 12 pounds of bird seed each. Each container was full until she used 4 pounds of bird seed. She wants to put some of the remaining bordered into 26 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.
Answer: 56lb
Step-by-step explanation:
Wilma has:
5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb
6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb
There is a total of 40lb + 72lb = 112 lb.
Now we know that she uses 4 lb, so now she has:
112lb - 4lb = 108lb.
Now she wants to fill 26 bird feeders, that can hold 2 lb each.
So she needs 26*2lb = 52lb
The amount of bird seeds that she has left is:
108lb - 52lb = 56lb
You place $325 in a savings account. You earn $19. 50 in interest at a rate of 3%. How long did this take?
Answer:
397
Step-by-step explanation: you placed 325 already and earned 19 you add 325 19 50 3 you get your final product which is 397 which is what you will earn or get out of your savings
What is the greatest common factor of 96 and 72
First, do the prime factorization.
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The GCF is the product of their shared factors.
They share 2, 2, 2, and 3.
2 x 2 x 2 x 3 = 24.
Their GCF is 24.
The greatest common factor of the given numbers 96 and 72 will be equal to 24.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given number for GCF in the question,
Firstly, factorize the given numbers,
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The result of their shared factors is the GCF.
2 x 2 x 2 x 3 = 24.
Therefore, the GCF is 24.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ6