Question 1
Solve for
using the similar triangles. Round to the nearest tenth. (For example, 10.578 would round to 10.6)
Question 2
Find the height of the tree to the nearest whole meter using the two similar triangles below. (For example. 10.57
3 m
30 m
Please answer fast thank you
Answers
Answer:
1)x=21.33
2)Height of tree is 20 m
Step-by-step explanation:
Question 1
ΔABC ≈ΔADE
Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion
So,[tex]\frac{AB}{AD}=\frac{BC}{DE}\\\frac{AB}{AB+BD}=\frac{BC}{DE}\\\frac{12}{12+6}=\frac{x}{32}\\\frac{12}{18}=\frac{x}{32}\\\frac{12}{18} \times 32 =x\\21.33=x[/tex]
Question 2: Find the height of tree
ΔDEF ≈ΔDHI
Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion
So,[tex]\frac{DE}{DH}=\frac{EF}{HI}\\\frac{3}{30}=\frac{2}{HI}\\HI=\frac{2 \times 30}{3}\\HI=20[/tex]
Hence The height of tree is 30 m
Related Questions
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answers
Answer:
A
Step-by-step explanation:
The formula for circumference is C = 2[tex]\pi[/tex]r. When plugging in these values, 2 x 3.14 x 4.5 is equal to 28.26.
Circumference of her garden is 28.26 m. So, Option 'A' is the correct answer to the following question.
Circumference based problem:What information do we have?
Radius of circular garden = 4.5 m
Circumference of her garden = circumference of circle
So,
Circumference of her garden = 2πr
Circumference of her garden = 2(3.14)(4.5)
Circumference of her garden = 28.26 m
Find out more information about 'Circumference'.
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What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answers
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
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Which set of side lengths is a Pythagorean triple?
A) 1, 3, 10
B) 4, 5, 9
C) 9, 40, 41
D) 16, 30, 44
Answers
Answer:
A 1,3,10
Step-by-step explanation:
3, 4, 10. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
a large triangular piece of canvas is being used to shade a playground. The canvas measures 27 meters in height and has a base of 23 meters. how many square meters will the canvas cover
Answers
Answer:621
Step-by-step explanation:
27*23
Although. Don't. Trust. it
Answer:
621
Step-by-step explanation:
23 times 27 = answer
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How
much interest would Daniel have received if he had deposited $2000 into
his account? *
A. $1,285.35
B. $34.04
C. $90.00
D. $44,444.44
Answers
Answer:
90.00
Step-by-step explanation:
because all they did was add a couple of hundred that would not boost the 55.35 all the way to the thousands so A is not right It's not B because 55.35 is more than 34.04 so it's not B it's not D because 44,444.44 is just way too high it's even higher than option A.
PLEASE HELP ME! I'm really confusedddddddd!
Answers
Answer:
1) Negative (because y value decreases from left to right)
2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)
3) Positive (because y value increases from left to right)
Step-by-step explanation:
Rewrite y = x2 + x - 20 in factorized form.
Answers
Answer:
y = x2 + x - 20 factors into
y = (x +5) * (x -4)
Step-by-step explanation:
Answer:
y = (x + 5)(x - 4)
Step-by-step explanation:
Given
y = x² + x - 20
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)
The factors are + 5 and - 4, since
5 × - 4 = - 20 and 5 - 4 = + 1, thus
x² + x - 20 = (x + 5)(x - 4)
what is the answer to -12= -2x-4x
Answers
Answer:
x = 2
Step-by-step explanation:
-12 = -2x - 4x
-12 = - 6x
x = -12/(-6) = 2
Answer:
Step-by-step explanation:
I NEED HELP QUICKKKKKKKKK PLZ
-1/2(-3y+10)
Answers
Answer:
I think its 1.5y-5
Step-by-step explanation:
-1/2×3y=1.5y
-1/2×3=-5
1. A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of
564 km/h. Another jet leaves the airport one half hour later traveling at 744
km/h in the same direction. Use an equation to find how long the second jet will
take to overtake the first.
A
17
30
h
17
h
30
1
15
h
Answers
Answer:
The time needs for second plane to catch up with first plane is t.
We have, 564(t + 0.5) = 744t
=> 180t = 282
=> t= 282/180 = 1.57 hour
Hope this helps!
:)
It cost Leah $1.50 to send 10 text messages. How many text messages did she send if she spent $7.05?
PLEASE ANSWER
Answers
Answer:
47 text messages
Step-by-step explanation:
7.05 divided by 1.50 which is 4.7
The multiply 4.7 times 10 which give you 47.
10 texts = $1.50
/10 /10
1 text = $0.15
# of texts = $7.05/$0.15 = 47 texts
Answer:
47 texts
Simplify the expression:
Answers
Answer:
235a is 1
235b is a^12k+4 i think
what is the result when 2×^4-5×^3+8×^2-4×-16 is divided by x-2
Answers
What is the measure of \angle DEG∠DEGangle, D, E, G on circle OOO?
^\circ
∘
degrees
Answers
Answer:
50°
Step-by-step explanation:
In the figure attached, the plot of the problem is shown.
Assuming that segments DE and CF are parallel then the following angles are congruent:
∠DEG ≅ ∠CFG
∠CGF ≅ ∠DGE
∠GCF ≅ ∠GDE
As a consequence, ∠DEG = 50°
The three expressions, sin-2, cos-1, and tan-1 are called _
trigonometric functions
Answers
Answer:
Inverse.
Step-by-step explanation:
Inverse trigonometric functions.
e. g. tan-1 x means 'the angle whose tangent is x'.
They are also called arcsin, arccos and arctan.
Any help plzzzz i would appreciate it
Answers
Answer:
AC=13.5
Step-by-step explanation:
what are the pods against selecting a red marble?
Answers
someone help ples alk i need is the first two pleassss
Answers
x values: 5, 10, 15, 20, 25
y values: 7, 14, 21, 28, 35
Answer:
x values: 5, 10, 15, 20, 25
y values: 7, 14, 21, 28, 35
Step-by-step explanation:
Which of the following statements best describes the information below?
the sum of eighteen and six divided by three
A.
It is both an equation and an expression.
B.
It is an expression.
C.
It is an equation.
D.
It is neither an equation or expression.
(brainliest if correct!!)
Answers
Answer: A= 8
B= False
C= False
D= True
Step-by-step explanation:
Derek is finding the volume of a triangular prism. Which describes the first step he should use to arrive at the correct answer?
A.
Find the area of the triangular base.
B.
Add the area of one of the rectangle faces to the area of the triangle.
C.
Multiply the perimeter of the triangle by the height of the prism.
D.
Find the perimeter of the triangular base.
Answers
Answer:
Derek should do A first.
Step-by-step explanation:
In order to find the volume of an object you must find the area of the base first then multiply the area by the height.
V = l x w x h
which statement must be true
Answers
Answer:
(C)
Step-by-step explanation:
AD and BC are parallel to each other. They are the same distance but they never touch.
Your best answer would be C.
Brainilest appreciated.
What is 3x3 – 11x2 – 26x + 30 divided by x – 5?
Answers
Answer:
hello :
3x3 – 11x2 – 26x + 30 divided by x – 5 is :3x2 + 4x – 6
because :
(x-5)(3x²+4x-6)=3x^3+4x²-6x-15x²-20x+30 =3x3 – 11x2 – 26x + 30
Step-by-step explanation:
Answer:
3x2 + 4x – 6
Step-by-step explanation:
Complete A,B for 2,3 for 12 points
Answers
See Explanation
Step-by-step explanation:
1)
[tex] d = r. t\implies r = \frac{d}{t} \\
d = r. t\implies t = \frac{d}{r} \\[/tex]
2).
[tex] C = 2\pi.r\implies r = \frac{C}{2\pi} \\
C = 2\pi.r\implies \pi = \frac{C}{2r} \\[/tex]
Answer:
2.
A. r=d/t
B. t=d/s(r)
3.
A. r=c/2(pi)
B. (pi)=c/2r
Step-by-step explanation:
Pretty easy once you have mastered Algebra and Geometry.
PLEASE HELP I WILL MARK BRAINLIEST
Right to expressions that are equivalent to the expression below.
(9-c) + (9-c) + (9-c) + (9-c)
Answers
Answer:
36-4c
plz mark brainliest
what table shows no correlation?
Answers
Answer:
3rd one
Step-by-step explanation:
because in others there are negative numbers which can show us the forumals while the 3rd one has few of them
You have a square prism with a base side length of 8 in. and a height of 14 in. And a sphere with a diameter of 12 in.
A. Which figure has the lesser volume? SHOW ALL WORK
B. Would the same be true if the height of the prism was 14.2in? SHOW ALL WORK EXPLAIN
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
Timothy and Jonathan work at two different dog - grooming salons in their town. The box plots represent the number of dogs their salons groomed each week over the last three months.
Answers
Answer:
Timothy - 12
Jonathan - 10
More varied than
Step-by-step explanation:
which equation represents the relationship between x and y shown in the table ?
Answers
The equation that represents the relationship between x and y shown in the table is; y= 2x-3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. the equations that can be solved to get a unique solution. the power of the equation must be in one degree.
First we need to find the slope we will use rise over run to get 2.
The correct equation will replace x with any of the x values in the chart and if we get the same y values as the chart then that equation is correct.
y= 2x-3
If x = 2 and y = 1
Then
y= 2x-3
1 = 2(2)-3
1= 1
Therefore, The equation that represents the relationship between x and y shown in the table is; y= 2x-3
Learn more about equations here;
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Write these numbers as fractions. Simplify the answers. 0.5, 12.3, 0.07, 0.625
Answers
0.5 => 5/10 => 1/2
12.3 => 123/10
0.07 => 7/100
0.625 => 625/1000 => 25/40 => 5/8
Answer:
see below
Step-by-step explanation:
0.5, 5/10 = 1/2
12.3 = 12 3/10
0.07 = 07/100
0.625=625/1000 =5/8
Which expression can be used to find the surface area of the following rectangular prism?
A.15+15+10+10+6+6
B.10+6
C.10+10+6+6
D.15+15+10+10+6
