(PLEASS HURRY IM BEING TIMED)
(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:
(Giving Brainliest)
Answers
Looks like you have 2 similar triangles.
all the angles from one triangle are congruent to all the angles from the other triangle.
The sides must be proportional.
Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.
Cross multiply h to get 6*25 = 5*x.
Divide both sides of the equation by 5 to solve for x to get:
x = 6*25/5 = 6*5 = 30.
Related Questions
1/3x^2 = -3
The solution to the equation is ___?
A) x = 3
B) x = -3
C) x = ±3
D) no solution
Answers
[tex] \frac{1}{3} {x}^{2} = - 3 \\ = > {x}^{2} = - 3 \times 3 \\ = > {x}^{2} = - 9 \\ = > {x} = \sqrt{ - 9} \\ = > x = ±3[/tex]
Answer:
C) x = ±3
Hope you could get an idea from here.
Doubt clarification - use comment section.
If each quadrilateral below is a rectangle, find the missing measure.
Answers
JKH = 63
HLK = 90
HJL = 27
LHK = 54
JLK = 27
Hope this helps!
What is the radical form of the expression 4 3/2
Answers
Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?
Answers
Answer: Thad-1.471
Amy-1.500
SO AMY SHOT WITH A HIGHER PERCENTAGE
Step-by-step explanation: brainliest would be appreciated
9(2x129) = ?
Please help me im suffering math is hard
Answers
Answer:
18x^129
Step-by-step explanation:
Answer: That would be 2,322!
Step-by-step explanation:
MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?
Answers
Answer:
0.65
Step-by-step explanation:
7/6+6/6=13/6
13/6=2 1/6
2*0.3=0.6
[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]
1/20=0.05
0.6+0.05=0.65
IM GIVING TONS OF POINTS PLEASE HELP THANKS!
The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 112
cm^2 , what is the length of the diagonal?
Answers
the answer might be 18.64 but im actually kinda du.mb so its probably not right.
Answer:
is 10 points alot? the other guy don't think so
In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices
a cos (π/4)
b sin (2π/3)
c tan (2π/3)
d cos ((-π)/3)
Answers
Answer: A cos (π/4)
I just took a test with this question and got it right
Change 2.33 to a simplified fraction. Round to the nearest hundredth.
Answers
Answer: 233.00
Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:
I NEED HELP WHAT IS 3 miles 440 yards + 6 miles 880 yards
Answers
(3 miles) + (440 yards) + (6 miles) + (880 yards)
= 9.75 miles
After adding all the given values in, the same unit will be equal to 9.75 miles.
What is Unit conversion?Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.
Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the given information in the question,
3 miles + 440 yards + 6 miles + 880 yards
Now, use unit conversion,
1 mile = 1760 yards
440 yards = 0.25 miles and,
880 yards = 0.50 miles
So, total distance is,
3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.
To know more about Unit conversion:
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a/6 is greater than 1
Answers
Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!
Step-by-step explanation:
In the equation, 6x - 2y = 11, what is the slope?
Answers
6. The Gonzales family has three children. On summer break, they went to an amusement park. They bought 3 child tickets for $18.50 and 2 adult tickets. If they spent a total of $104.50, how much was the price of each adult ticket? and what is the equation.
Answers
Answer:
$24.50
Step-by-step explanation:
18.50*3=55.50 dollars
104.50-55.50=49.00 dollars
49 divided by 2=24.50 dollars
$24.50 dollars per adult ticket
What is 8,024.62 in words?
Answers
Answer:
eight thousand twenty four sixty two hundreths
Step-by-step explanation:
you can replace the decimal pint with an and so that its
eight thousand twenty four and sixty two hundreths
Answer: eight thousand twenty-four and sixty-two hundredths
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=5/6x+5
Step-by-step explanation:
Just ask!
Hope this helps.
Sorry if I'm wrong.
~Happy Holidays!!~ o(*￣▽￣*)ブ
What is the length of the unknown side of the right triangle? (1 point)
A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441
Answers
Answer:
B)29
Step-by-step explanation:
[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]
[tex] {x}^{2} = 441 + 400[/tex]
[tex] {x}^{2} = 841[/tex]
[tex]x = \sqrt{841} [/tex]
[tex]x = 29[/tex]
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the two legs, that is
x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )
x = [tex]\sqrt{841}[/tex] = 29 → B
What +1/16 = 3/2 answer please
Answers
Answer:
1 7/16
Step-by-step explanation:
solve the following quadratic equation
Answers
27x^2 = 3
27x^2 - 3 = 0
3(9x^2 - 1 ) = 0
9x^2 - 1 = 0
( I think this is it- )
Find measure of <1
Answer ASAP!!
Answers
Answer:
105 degrees
Step-by-step explanation:
since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105
Answer:
here
Step-by-step explanation:
60⁰+45⁰+X=180
105⁰+X=180⁰
X=180⁰-105⁰
hence X=75⁰
Now
<1=60⁰+75⁰
=135⁰
Plz mark as brainlist
Thank you ™
To repair a roof that is 4 meters high Mr. Jeff leans a 5-meter ladder against the side of the building. To reach the roof how far away from the building should he place the base of the ladder?
Answers
hi have a good day.
I think correct answer is-3
What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?
Answers
Help me solve these questions
?
Answers
Answer:
All of these?
A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange
Answers
Answer:
6/91
Step-by-step explanation:
Total number of fruits = 4 + 2 + 3 + 5 = 14
Apple: 4/14
One of the fruits have been taken from the total. 14 thus becomes 13.
There are 3 oranges
Orange: 3/13
Combine probability: 4/14 * 3/13 = 12/182 = 6/91
Two is a common factor in both 12 and 182
the quotient of x and 10 equals 30
Answers
Answer:
x=3
Step-by-step explanation:
I'm assuming that's what you're asking.
x*10=30=>x=30/10=3
3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?
Answers
3.74 = 0.4n + 2.5
3.74 - 2.5 = 0.4n
1.24 = 0.4n
n = 3.1
So the value of n which makes the statement true is 3.1
Hope this helps :)
The value of n for the equation to be true is n = 3,1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A , 3.74 = 0.4n + 2.5
Now ,
3.74 = 0.4n + 2.5
Subtracting 2.5 on both sides of the equation , we get
0.4n = 3.74 - 2.5
0.4n = 1.24
Divide by 0.4 on both sides of the equation , we get
n = 3.1
Therefore , n = 3.1
Hence , the value of n for the equation to be true is n = 3.1
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30,098 / 6
Quotient and Remainder
Answers
Answer:
5,016.33333333
Step-by-step explanation:
divide
i dont know how to do this stuff
im choosing brainliest
Answers
Answer:
5 - 15 = -10
Step-by-step explanation:
Answer:
5 - 15 = -10
Step-by-step explanation:
If you start with 5 and then subtract 15, you end up at -10.
what is b? 0=-1/5(-1)+b
Answers
Answer:
b= -1/5
Step-by-step explanation:
Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:
1/5+b=0
b+1-1/5=0-1/5
b+0/5= 0 -1/5
b=0 -1/5
and you have b= -1/5 as your answer
find area of parallelogram multiple choice
refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation
Answers
In ∆ABD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]
In ∆BCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]
Now
IN PARALLELOGRAM ABCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]
Option A
Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?