plss help me quickly tyyy
either question 5 or six cus I need the explanation:)))
Answers
Find FM using Pythagoras Theorem:
We're not after c^2 using pythag - rearrange it:
It don't matter were the B or A is in the equation - it'll give u the missing length you're after.
c^2 - b^2 = a^2
8^2 - 5^2 = a^2
Square root both sides to get A on its own
A= root 8^2 - 5^2
= root 39
= 6.24499....
Or
6.24cm, but FM is root 39 I'll use throughout, even if I use 6.24 in calculations, it's to make things clearer for you.
Create diagonal line from B to E - drawing right-angle triangle A to B to E back to A.
AB is 16cm
AE is 8cm - given above
(because the triangle at the front & back are the same.)
Use Pythagoras Theorem for length BE:
a^2 + b^2 = c^2
16^2 + 8^2 = c^2
Square root
C = root 16^2 + 8^2
= 8 root 5
= 17.8885...
8 Square root 5 - I'll use for BE
Creat another triangle to find the angel -
B to E to (M between the length AD)
However, diagonal line B to M needed.
So, m is the mid-point of the base triangle, pretend to slice it in half from point M - this creates a mini rectangle. (ABM to MA - with M on side AD)
Now use this to find B to M:
(if MC is 5cm, BM is 5cm - on length BC)
C = root 16^2 + 5^2
= root 281
= 16.76305...
= 16.76
Create right-angle triangle:
Be to M back to B
BE= 8 root 5
EM = root 39
MB = root 281
So, the angle will be from EB to M.
EB is the hypotenuse
BM is the adjacent
AH means Cah, but the inverse
Cos-1(a/h)
Cos-1(root 281 / 8 root5) = 20.4326...
Thus, angle we're after is 20.43 degrees to 2.dp
(The easiest way for me to explain - it took a while)
Hope this helps!
Related Questions
What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?
Answers
Answer: 2584
Step-by-step explanation: Length × height × width
According to the rational root theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x 20? 2x 1 2x – 1 3x 5 3x – 5
Answers
The factor of the polynomial 3x³ – 5x² – 12x + 20 is (x – 2), (x + 2), and (3x – 5). Then the correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given below.
f(x) = 3x³ – 5x² – 12x + 20
Then the factor of the polynomial will be
f(x) = (x – 2)(x + 2)(3x – 5)
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer: D.) 3x-5
Step-by-step explanation:
I would know because I got it right on my unit test.
simplify each expression 3(m-5)+m
Answers
3(m-5) + m
3m - 15 + m
4m - 15
area of a regular polygon with a radius of 4
Answers
A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe
Which constant term would mean that the expression is completely factored? x2 – 3x
Answers
have a nice day !!!
Answer:
answer is 10
Step-by-step explanation:
1. Which of the following shows the value of (4.3 x 10-7)(1.5 x 10-3) in scientific notation? a. 6.45 x 10-10 b. 64.5 x 10-9 C. 0.645 x 10-11 d. 645 x 10-8
Answers
The product of the expression in scientific notation is expressed as 6.45 * 10^-9
Scientific notationsThe standard scientific notation is expressed as:
A * 10^n
A is any value between 1 and 10
n is any integer
Given the product
(4.3 x 10-7)(1.5 x 10-3)
= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9
Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9
Learn more on scientific notation here: https://brainly.com/question/5756316
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make x the subject from m=n+x/p
Answers
Answer:
x = p(m - n)
Step-by-step explanation:
Solve m=n+x/p for x. Start by eliminating the fraction: Multiply all three terms by p. Then we have mp = np + x, which is the same as x = mp - np, or
x = p(m - n)
A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?
Answers
Answer:
7 in
Step-by-step explanation:
L * W * H = volume
L * 5 * 9 = 315
L = 315 / (5*9) = 7 in
A hot air balloom travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour?
Answers
Answer:
4.5
Step-by-step explanation:
Find the amount of miles in 1 hour. 18/3=6
Now multiply 1.5x3=4.5
3/4=75
This is how i got 4.5 miles
Please help! Will mark brainlyest. :)
Answers
Answer:
48
Step-by-step explanation:
base times hight times times 1/2
24X4X1/2
Answer: choice 4: 48
Step-by-step explanation:
to get the area of a triangle, you multiply the width times the height divided in half. So you get:
1. 24*4= 96
2. 96/2= 48
Learn with an example
A car rental agency has 4 vehicles available, of which 2 are coupes.
What is the probability that a randomly selected vehicle will be a coupe?
Simplify your answer and write it as a fraction or whole number.
P(coupe)
=
Submit
Answers
Answer:
50% or 1/2
Step-by-step explanation:
There are four cars total and of which two are coupes, so the fraction would be 2/4 and simplified would be 1/2.
Look at the image below.
11
10
6
Find the area of the parallelogram,
square units
Answers
Answer:
60
Step-by-step explanation:
im so smart. its on khan academy.
Mr.Portillo says that he can solve 32 divided by 8 by thinking about 8 x ? =32. Why is this true?
Answers
Answer:
this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.
Step-by-step explanation:
I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk
2x2-11x/2-1+y/z
if x = 3, y = 7, and z = 2?
Answers
Answer:
4
Step-by-step explanation:
subsitute the value of the variable into the expression and simplify.
What is the value of the expression below?
( - 4/9 ) x (4 1/3 )
Answers
Answer:
[tex]-\frac{52}{27}[/tex]
Step-by-step explanation:
Let's first convert everything to improper fractions as it becomes easier to compute with.
[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]
Now we can put that back into the expression:
[tex]-\frac{4}{9} * \frac{13}{3}[/tex]
Nothing cancels out so the answer we get is:
[tex]-\frac{52}{27}[/tex]
Please help this is due in 10 minutes!!!
Answers
Answer:
3053.63 un³
Step-by-step explanation:
Hello!
The diameter is 18, so the radius is half of the diameter, or 9.
Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]
Solve:
[tex]\frac43\pi r^3[/tex][tex]\frac43\pi *9^3[/tex][tex]\frac43*729\pi[/tex][tex]972\pi[/tex]3,053.6280592893 ≈ 3,053.63The volume is 3053.63 un³.
Fatima is solving the equation 3x² - 6x +2=0 with the quadratic formula.
Which values could she use for a, b, and c?
O a = 3, b = -6, c = 2
O a = 3, b = -6, c = -2
O a = -3, b = 6, c = -2
O a = 3, b = 6, c = 2
Answers
Answer:
[tex]a=3,~ b = -6,~ c=2[/tex]
Step-by-step explanation:
[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]
This table represents a quadratic function with a vertex at (1,2). What is the
average rate of change for the interval from x = 5 to x = 6?
х
у
1
2
2
3
3
6
4
4
11
תס
5
18
O A. 27
OB. 9
O C. 18
O D. 3
Answers
Answer:
9 -- B
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
The average rate of change for the interval from x = 5 to x = 6 is - 22.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since, the quadratic function has a vertex at (1, 2),
Hence, the equation for the function can be written in vertex form as:
⇒ y = a(x - 1)² + 2
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.
Let's use the point (2, 1):
1 = a(2 - 1)² + 3
1 = a + 3
a = - 2
So, the equation for the quadratic function is:
y = -2x² + 2
Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:
y = - 2 x 25 + 2 = - 48
The value of the function at x = 6 is:
y = -2 x 36 + 2 = - 70
The average rate of change between x = 5 and x = 6 is:
(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22
Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22
For more details regarding quadratic equation, visit:
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The radius of a semicircle is 1 meter. What is the semicircle's perimeter?
Answers
Answer:
5.1416
Step-by-step explanation:
L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]
The number of stamps in a stamp collection can be modeled by the function y = 2x² + 13x + 45, where is the number of years since the collection was started and y is the number of stamps. After how many years did the stamp collection have 195 stamps?
Answers
Answer:
X=8 years, option F
Step-by-step explanation:
Answer
6 years
Step-by-step explanation:
The answer is 6 years
Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6
Answers
Answer:
a
Step-by-step explanation:
you need to have same kx for lines to be parallel.
y=kx+l
l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same
I will give Brainlyist to the first person who replies and gets most of the answers correct.
Answers
32) integers ??
33) 3/5
34) 6.5 ???
35) 3,000,000
36) 8
37) 15
38) 1
Find (f•g) (x) if f(x)=3x^2 and g(x)=5-x
Answers
Answer:
f(g(x))=3x^2-30x+75
Step-by-step explanation:
We want to find the value of f(x) when x is equal to g(x)
So we can substitute the value of g(x) into the f(x) equation
f(g(x))= 3(5-x)^2
f(g(x))= 3(25-10x+x^2)
f(g(x))=3x^2-30x+75
Completely simplified version: 3(x-5)^2
Will give brainlist
Identify the multiplication problem that matches the model.
4 x 3/4
4 x 1/3
4 x 3
3 x 3/4
Answers
4 x 3/4 Sure hope this helps you
[tex]\sf what's\: the \:answer\:?[/tex]
[tex]4x+3(x-1)=67[/tex]
Answers
Answer:
x = 10
Explanation:
4(x) + 3(x-1) = 67
apply distributive method
4(x) + 3(x) -3(1) = 67simplify
7(x) - 3 = 67change side
7(x) = 67 + 3simplify
7(x) = 70divide both sides by 7
x = 10i cannot do this question and i am stuck
Answers
Answer:
-57
Step-by-step explanation:
[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]
A series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number? 42.5 190.0 465.0 740.0
Answers
The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190
Sequence and seriesSeries are sum of sequences
The formula for calculating the last term of a sequence is expressed as:
Sn = n/2(a+l)
Given the following
Sn = 4185
n = 18
l = 275
Required
first term "a"
Substitute
4185 = 18/2(a + 275)
4185 = 9(a + 275)
465 = a+ 275
a = 465 - 275
a = 190
Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190
Learn more on series here; https://brainly.com/question/7882626
help pls !!!!! will mark brainliest
Answers
Answer
The first option would be your answer.The probability would be 1/16 or 0.0625 or 0.063
Step-by-step explanation:
Bruno will spin the arrow on the spinner 2 times. what is the probability that the arrow will stop on c at least once? 19 29 13 59
Answers
The probability that the spinner will land on c at least once is 5/9
How to determine the probability?From the complete question, the probability that the spinner will not land on c when spun twice is:
P = 4/9
Using the complement rule, the probability that the spinner will land on c at least once is:
P' = 1 - P
This gives
P' = 1 - 4/9
Evaluate
P' = 5/9
Hence, the probability that the spinner will land on c at least once is 5/9
Read more about probability at:
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Answer: 5/9
Step-by-step explanation: i took the test and passed
factor the polynomial
x^2y + x
Answers
Answer:
x(xy + 1)
Step-by-step explanation:
The two terms have the common factor x.
x²y + x = x(xy + 1)