Answer:
25.9 feet
Step-by-step explanation:
If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle
Therefore we can use the pythagorean theorem to solve this problem
The two legs of the right triangle will be 23 and 12
The formula is a^2 +b^2=c^2
c^2 is the diagonal squared ( the hypotenuse)
So:
12^2+23^2=c^2
144+529=c^2
673=c^2
To find just c we need to find the square root of 673, rounded to the nearest tenth
[tex]\sqrt{673}=25.9[/tex]
(the equation is rounded)
So the diagonal is 25.9
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\frac{\sqrt{10}}{2}[/tex]
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of [tex]\sqrt{5}[/tex], we have:
[tex]x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}[/tex]
PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9
Answer:
4
Step-by-step explanation:
Answer:
There are several different means:
Arithmetic: 4 (This is most likely your answer.)
Geometric: 3.0862
Harmonic: 2.3736
Hope that this helps!
ZA=
Round your answer to the nearest hundredth.
С
A
?
5
8
B
Answer:
∠A = 38.68°
Step-by-step explanation:
[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]
The measure of the ∠A in this right-angled triangle is, 38.68°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.
We know, sin = opposite/hypotenuse.
Therefore, sinФ = 5/8.
Ф = sin⁻¹(5/8).
Ф = 38.68°.
learn more about trig ratios here :
https://brainly.com/question/14977354
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Which of the following sets of ordered pairs does not represent a function?
A {(1,2), (2, 3), (4, 5), (3, 3)}
B {(-1,3), (2, 3), (6,5), (7,3)}
C {(1, 2), (1, 3), (-4, 5), (3, 3)}
D {(-1, 2), (2, 2), (4, 2), (3, 2)}
Asia is the largest of the world’s seven continents with an area of approximately 1.7 times 10 Superscript 7 square miles. Australia, the smallest continent, has an area of approximately 3.1 times 10 Superscript 6 square miles.
How much larger is Asia than Australia? Express the answer in scientific notation.
1.40 times 10 Superscript 6 square miles
2.93 times 10 Superscript 6 square miles
1.39 times 10 Superscript 7 square miles
2.01 times 10 Superscript 7 square miles
The amount of area larger is Asia than Australia will be 1.39 × 10⁷. Then the correct option is C.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Asia is the largest of the world’s seven continents, with an area of approximately 1.7 times 10⁷ square miles.
Australia, the smallest continent, has an area of approximately 3.1 times 10⁶ square miles.
Then the amount of area larger is Asia than Australia will be
⇒ 1.7 × 10⁷ – 3.1 × 10⁶
⇒ 1.7 × 10⁷ – 0.31 × 10⁷
⇒ 1.39 × 10⁷
Then the correct option is C.
More about the subtraction link is given below.
https://brainly.com/question/4319655
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The square of a number 60 greater than half of the number. Form a
quadratic equation and solve to determine the possible values of the
number.
Answer:
Sorry Baby i don't know
Step-by-step explanation:
Bye
Geraldo orders a private jet for a party that has a flat rate of 175,000
dollars plus an addition 65,000$ for each additional passenger. He as AT
MOST 1 million dollars to spend ($1,000,000) how many people can he
take with him? (Round down to the nearest human and WRITE YOUR
ANSWER AS A SENTENCE)*
Answer:
im not really sure but try 600,0
Step-by-step explanation:
Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ages. Fine the current age of each of them.
Answer:
Jewel is 7 years old
John is 1 year old
Dave is 17 years old
Step-by-step explanation:
From the question we are told that:
Jewel age is [tex]J=7 years[/tex]
John age [tex]J'=(D-16)years[/tex]
Dave's age a Year ago
[tex]D-1=2(J-1+J'-1)[/tex]
So that Dave.s age this Year could be
[tex]D=2((J-1)+(J'-1))+1[/tex]
Simplifying Equation for Dave's age we have
[tex]D=2((7)-1+(D-16)-1)+1[/tex]
[tex]D=2(6+D-15)+1[/tex]
[tex]D=2(D-9)+1[/tex]
[tex]D=2D-18+1[/tex]
[tex]D=17 Years[/tex]
Dave is 17 years old
Therefore
Johns age is
[tex]J'=(D-16)[/tex]
[tex]J'=17-16[/tex]
[tex]J'=1year old[/tex]
John is 1 year old
can someone pls help for brainlest
Answer:
144
Step-by-step explanation:
Find a round to the nearest tenth 12 22 75 x x=?
Answer:
By law of Sines[tex]\frac{Sin75^o}{22} =\frac{Sinx}{12}[/tex][tex]\frac{Sin75}{22}(12)=\frac{Sinx}{12} (12)[/tex][tex]0.5268=Sinx[/tex][tex]Sin^(0.5268)=x[/tex][tex]x=31.789[/tex][tex]x=31.79^o[/tex]-----------------------hope it helps..have a great day!!Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Step-by-step explanation:
Formula for gradient of a line segment :
[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]
Given points of the line segment: (-5,2) and (4,3)
[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{9}[/tex]
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Determine wether the lines given are parallel, perpendicular or neither
Answer:
Neither
Step-by-step explanation:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. So if the slopes have reciprocals, they are perpendicular. Otherwise, they are neither.
You have a hospital bill of $14,000. You have an insurance plan that has a $2,000 deductible and a 20% coinsurance clause. How much do you pay towards the total bill?
Answer:
4400
Step-by-step explanation:
First take off your deductible
14000-2000
12000
Now find 20 % of this amount
12000*20%
12000 * .20
2400
You have to pay the deductible and the 20%
2000+2400
Given the function f(x) = 3x + 1 what is f(-2)?
Answer:
-5
Step-by-step explanation:
f(-2) means that -2 is going to be our input in this function.
To solve this, simply substitute -2 for x in the expression given.
If f(x) = 3x+1, then f(-2) = 3(-2) + 1
3(-2)+1 = -6+1 = -5
Hope this helped!
Answer:
f(-2) = 3(-2) + 1
f(-2) = 6 + 7
Therefore: f(-2) = 7
Share 350cm in the ratio 3 : 7
Answer:
105cm & 245cm
Step-by-step explanation:
[tex]3x+7x=350\\10x=350\\x=35\\\\\\3(35)=105\\7(35)=245[/tex]
I need help please and urgent!
Answer:
the answer is blurry for me take a picture again
Step-by-step explanation:
How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!
The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an expression to represent the cost for mailing a letter that is w ounces. Then find the cost for mailing a letter that is four ounces.
Answer:
$0.42 + $0.17w = x
$0.42 + $0.17 x 4 = $1.10
Step-by-step explanation:
for building the equation, we were given the variable for ounces so just multiply the amount of ounces by .17 and for solving for four ounces just input 4 into W and boom equation solved
Answer:
$0.42 + $0.17 x 4 = $1.10
Step-by-step explanation:
The road leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high. What is the length of the road to the top of the hill?
Answer:
2760
Step-by-step explanation:
23 multiply by 120
=2760
A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660
Which property is shown?
If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
ANSWER: symmetric property
hope it helps thanks
brainliest pls
Answer: The answer is Symmetric Property
PLEASE HELP THIS IS SUPER IMPORTANT!!!! A culture of bacteria has an initial population of 860 bacteria and doubles every 9
hours. Using the formula Pt= P0x2t/d, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 4 hours, to the nearest whole number?
Answer:
1170Step-by-step explanation:
Substitute values into given equation and solve for P(t):
P(t) = P₀*2^(t/d)P(4) = 860*2^(4/9) = 1170 (rounded)factorise using suitable identities
x^2 - 2x + 1
Answer:
(x - 1)^2
Step-by-step explanation:
using middle term break method
x^2 - 2x + 1
here, we need to numbers which gives 1 when multiplied and 2 when add .
=x^2 - (1 + 1)x + 1
=x^2 - x - x + 1
=x(x - 1) -1(x - 1)
=(x -1)(x - 1)
=(x - 1)^2
Step-by-step explanation:
by middle term factorisation method
x^2 -2x + 1
= x^2 -( 1+1)x + 1
= x^2 -x -x + 1
= x(x-1) -1( x -1)
= (x-1)(x-1)
OR
we know above polynomial ( quadratic ) equation is in form
(a - b )^2 = a^2 -2ab + b^2
so it's factories form is
( a- b)( a- b)
Which linear inequality is represented by the graph?
A.y<2/3x+3
B.y>3/2x+3
C. y>2/3 x + 3
D.y<3/2x + 3
Which angles in the picture are NOT supplementary?
Answer:
2nd option
1 and 3 ; 2 and 4
Step-by-step explanation:
supplementary angles are those whose sum equal to 180°.
Which of the following systems of inequalities has solutions represented by the graph shown below?
Answer:
y ≤ 1/2x - 1
y ≤ -2x + 4
What is the product?
Answer:
Step-by-step explanation:
In exponent multiplication, if base are same just add the powers.
[tex](-6a^{3}b+2ab^{2})(5a^{2}-2ab^{2}-b)=(-6a^{3}b)*(5a^{2}-2ab^{2}-b)+2ab^{2}*(5a^{2}-2ab^{2}-b)\\\\[/tex]
[tex]=(-6a^{3}b)*5a^{2}-(-6a^{3}b)*2ab^{2}-(-6a^{3}b)*b+ 2ab^{2}*5a^{2}-2ab^{2}*2ab^{2}-2ab^{2}*b\\\\=-30a^{3+2}b+12a^{3+1}b^{1+2}+6a^{3}b^{1+1}+10a^{1+2}b^{2}-4a^{1+1}b^{2+2}-2ab^{2+1}\\\\=-30a^{5}b+12a^{4}b^{3}+6a^{3}b^{2}+10a^{3}b^{2}-4a^{2}b^{4}-2ab^{3}\\[/tex]
If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?
what is the correct answer
Answer: c
hope this works
cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i
Solve the given equation for z :
2iz - 5 + i = i - (z - 2i )
2iz - 5 = 2i - z
(2i + 1) z = 2i + 5
z = (2i + 5)/(2i + 1)
z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)
z = (4i ² + 10i - 2i - 5) / (4i ² - 1)
z = (8i - 9)/(-5)
z = 9/5 - 8/5 i
Then
w = z - 1 + i = 4/5 - 3/5 i