Amy has a rectangular garden that is 23 feet wide. If the length of the garden is 12 feet, what is the length of its diagonal, in feet? Round to the nearest tenth​

Answers

Answer 1

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


Related Questions

cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

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

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

Answers

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

#SPJ1

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?

Answers

Answer:

2760

Step-by-step explanation:

23 multiply by 120

=2760

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.

Answers

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:

ZA=
Round your answer to the nearest hundredth.
С
A
?
5
8
B

Answers

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

#SPJ7

PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9

Answers

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!

I need help please and urgent!

Answers

Answer:

the answer is blurry for me take a picture again

Step-by-step explanation:

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?

Answers

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

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.

Answers

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

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

Answers

It would be D if I’m correct

Which angles in the picture are NOT supplementary?

Answers

Answer:

2nd option

1 and 3 ; 2 and 4

Step-by-step explanation:

supplementary angles are those whose sum equal to 180°.

If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?

Answers

21 (don’t believe me)

Given the function f(x) = 3x + 1 what is f(-2)?

Answers

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

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.

Answers

Answer:

Sorry Baby i don't know

Step-by-step explanation:

Bye

What is the product?

Answers

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]

Share 350cm in the ratio 3 : 7

Answers

Answer:

105cm & 245cm

Step-by-step explanation:

[tex]3x+7x=350\\10x=350\\x=35\\\\\\3(35)=105\\7(35)=245[/tex]

The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Answers

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 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?

Answers

Answer:

1170

Step-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)

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

Answers

The answer is C I did the test on Edge

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)*

Answers

Answer:

im not really sure but try 600,0

Step-by-step explanation:

can someone pls help for brainlest

Answers

Answer:

144

Step-by-step explanation:

Determine wether the lines given are parallel, perpendicular or neither

Answers

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.

factorise using suitable identities
x^2 - 2x + 1

Answers

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 property is shown?

If m∠ABC = m∠CBD, then m∠CBD = m∠ABC

Answers

ANSWER: symmetric property

hope it helps thanks

brainliest pls

Answer: The answer is Symmetric Property

what is the correct answer ​

Answers

Answer: c

hope this works

Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form

Answers

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].

Find a round to the nearest tenth 12 22 75 x x=?

Answers

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!!

Which of the following systems of inequalities has solutions represented by the graph shown below?

Answers

Answer:

y ≤ 1/2x - 1

y ≤ -2x + 4


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)}

Answers

The answer is C because every input should only have one output in this case we have (1,2) and (1,3)
The answer is c
Xd hope this helps

How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!

Answers

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)

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