PLEASE HELP!
Brianna is planting a sapling. The garden center recommended she stabilize the sapling with guy wires for the first few months after planting. If Brianna places the guy wires 6 feet up the trunk of the sapling and 5 feet from the base, how much total wire, to the nearest tenth of a foot, will she need for the two guy wires? *
Answers
Answer:
15.6 feet
Step-by-step explanation:
The total length of the two wires for planting the sapling is L = 15.6 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the total length of the two wires for the sapling be L
Now , let the triangle be represented as ΔABC
where the base of the triangle BC = 5 feet
The height of the triangle AB = 6 feet
And , the hypotenuse of the triangle AC = length of one wire
So , L = 2 ( AC )
On simplifying , we get
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
The length of 2 wires = 2AC = 2√ ( AB )² + ( BC )²
The length of 2 wires = 2AC = 2√ ( 6 )² + ( 5 )²
The length of 2 wires = 2AC = 2√ ( 36 + 25 )
The length of 2 wires = 2AC = 2√61
On further simplification , we get
The length of 2 wires = 2AC = 2 x 7.8
The length of 2 wires = 2AC = 15.6 feet
Hence , the length of the wires for the sapling is 15.6 feet
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Related Questions
4 times 1/3 in fraction
Answers
Answer:
4/3 or 1 and 1/3
Step-by-step explanation:
4 * 1/3. You would do 4*1 over 3, which gives you 4/3.
1/3+1/3+1/3+1/3=4/3
What is the value of x in the equation 2(x-4) = 4(2x + 1)?
1.
-2
2.
2
3.
Nime
2.
1
4.
2
Answers
Answer:
The value of x is -2.
Step-by-step explanation:
First, you have to eliminate the brackets by expanding :
[tex]2(x - 4) = 4(2x + 1)[/tex]
[tex]2x - 8 = 8x + 4[/tex]
Next, you have to move all the like-terms to one side :
[tex]2x - 8 - 8x = 4[/tex]
[tex] - 6x = 4 + 8[/tex]
[tex] - 6x = 12[/tex]
[tex]x = 12 \div ( - 6)[/tex]
[tex]x = - 2[/tex]
Answer:
[tex]x = - 2[/tex]
Step-by-step explanation:
[tex]2(x - 4) = 4(2x + 1) \\ 2x - 8 = 8x + 4 \\ 2x - 8x = 8 + 4 \\ - 6x = 12 \\ \frac{ - 6x}{ - 6} = \frac{12}{ - 6} \\ x = - 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Identify the type of sample this is:
To determine the types of music their customers like, all the people attending a concert of a country music singer were surveyed
A) voluntary response sample
B) strateified random sample
C) convenience sample
D) simple random sample
Answers
on a recent test matthew got 18 out of 40 problems correct at the same rate how many problems would matthew get correct if there were 60 problems
Answers
Answer:
27
Step-by-step explanation:
18/40 = 27/60
Answer:
27 :)
Step-by-step explanation:
list the sided of the triangle in order from shortest to longest
please answer asap!!
options in picture!
Answers
Answer:
Step-by-step explanation:
The side opposite to the biggest angle be longest side.
110 + 28 + ∠H= 180 { sum of all angles of triangle }
138 + ∠H = 180
∠H= 180 -138
∠H = 42°
Shortest side is opposite to 28° =====> FH
Next shortest side is opposite to 42° =========> GF
The longest side is opposite to 110° =======> GH
The answer is:
FH , GF , GH
Answer:
FH , GF , GH
Step-by-step explanation:
Your science grades are weighted as follows: 35% for tests, 25% for journals, 25% for homework, and 15% for chapter projects. Which circle graph correctly shows how your science grades are weighted? WILL MARK BRAINLIEST IF I KNEW HOW TO
Answers
Answer:
Third option.
Hope it helped.
could you use the formula for the surface area of a rectangular prism to find the surface area of a cube explain please help me.
Answers
Answer:
You can use our formula for the surface area of a rectangular prism for a cube as well. A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
2{ 3[9 + 4(7 -5) - 4]} can you guys help me
Answers
The answer is 78
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = 78[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the value of x.
Answers
Answer:
x≈47.4
Step-by-step explanation:
Use sine, since the triangle is a right triangle and doesn't have any special properties.
sin28=x/101
101*sin28=x
solving this, you get that x≈47.4.
Subtract the equations.
5x + 4y 25- (5x +2y-3)
A. -10x= 28
B. 10x = 28
C. 6y=28
D. 2y= 22
Answers
Answer:
d
Step-by-step explanation:
On a winter morning, the temperature In Pittsburgh Is -13°F and the temperature in Cleveland Is-10°F. On the same morning, the temperature in Chicago is higher than the temperature in Pittsburgh. Which statement explains what the temperature in Chicago could be?
Answers
Answer:
-12°F o -11°F.
Step-by-step explanation:
We have two statements, which are the following:
- the temperature In Pittsburgh Is -13 ° F
- the temperature in Cleveland Is-10 ° F
Then they tell us, "the temperature in Chicago is higher than the temperature in Pittsburgh"
Which means that the statement that helps us is the first, which is the one that tells us about Pittsburgh, now, a higher number since it is a higher temperature, we know that when a number is negative, the higher the number is , actually the number is less, therefore the temperature should be at least -12 ° F or -11 ° F. That is, anyone with sense between the city's temperature ranges greater than -13.
Find the length of the radius for this circle.
(x - 3)² + (y - 5)² = 8
8
4
2√2
Answers
After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia. What was the ratio of the amount of milk Mia had to the amount of milk Dante had at first?
Answers
Answer:
4:5
Step-by-step explanation:
You start with the equation:
2(3/4m)=D+1/4m
Simplify it to solve:
5/4m=D
The ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5
What is ratio?"It is the comparison of two quantities of the same kind."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
For given question,
Let 'x' be the initial amount of milk Mia had and 'y' be the initial amount of milk Dante had.
After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia.
We write above statement inn equation form as,
[tex]2(\frac{3}{4} x)=(y+\frac{1}{4} x)[/tex]
We simplify above equation to find the ratio of the amount of milk Mia had to the amount of milk Dante had at first.
[tex]\Rightarrow 2(\frac{3}{4} x)=(y+\frac{1}{4} x)\\\\\Rightarrow \frac{6}{4}x- \frac{1}{4} x=y\\\\\Rightarrow \frac{5}{4}x=y\\\\ \Rightarrow \frac{x}{y} =\frac{4}{5}\\\\ \Rightarrow x:y=4:5[/tex]
Therefore, the ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5
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Please Help Me. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Answers
Answer:
About 188.71 feet
Step-by-step explanation:
The cosine of an angle is equivalent to the adjacent side divided by the length of the hypotenuse. Therefore:
[tex]\cos 58=\dfrac{100}{x} \\\\x=\dfrac{100}{\cos 58}\approx 188.71[/tex]
Hope this helps!
Answer:
x = 188.71
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos 58 = 100/x
Multiply by x
x cos 58 = 100
Divide by cos 58
x = 100/cos 58
x =188.7079915
To the nearest hundredth
x = 188.71
Use the Pythagorean theorem to find the unknown side of the right
triangle
Answers
Answer:
26
Step-by-step explanation:
→ Utilise Pythagoras theorem
a² + b² = c²
→ Substitute in the values
10² + 24² = c²
→ Simplify
100 + 576 = c²
→ Simplify further
676 = c²
→ Square root both sides to isolate c
26 = c
70 times 10 by the power of 2
Answers
Answer:
I'm not sure which you mean, so I'll give the answer to both:
[tex]70 X 10^2 = 7000\\(70x10)^2 = 490000[/tex]
10 by the power of 2 is basically saying ‘10 multiplied by itself’, 10x10=100. then multiply 70 by 100 and you get 7000 hope this helped!
1) Expand (x + 5)(x + 8) to form a quadratic expression
2) Expand (x - 1)(x + 3) to form a quadratic expression
3) Expand (x - 2)(x - 4) to form a quadratic expression
4) Expand (2x + 2)(x + 9) to form a quadratic expression
5) Expand (x - 7)(3x + 2) to form a quadratic expression ANSWER ALL CORRECTLY PLEASE I NEED TO GET DONE QUICKLY BIG 20 POINTS I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
1) (x + 5)(x + 8)
=x(x +8)+5(x + 8)
=x^2+8x+5x+40
=x^2+13x+40
2)(x-1)(x+3)
=x(x+3)-1(x+3)
=x^2+3x-1x-3
=x^2+2x-3
3)(x-2)(x+9)
=x(x+9)-2(x+9)
=x^2+9x-2x-18
=x^2+7x-18
4)(2x+2)(x+9)
=2x(x+9)+2(x+9)
=2x^2+18x+2x+18
=2x^2+20x+18
5)(x-7)(3x+2)
=x(3x+3)-7(3x+2)
=3x^2+3x-21x-14
=3x^2-18x-14
NUMBER 1
(x + 5)(x + 8)
- factor the x
=x(x +8)+5(x + 8)
-Distribute
=x^2+8x+5x+40
-Combine like terms
=x^2+13x+40
-Final answer
NUMBER 2
(x-1)(x+3)
-Factor
=x(x+3)-1(x+3)
-Distribute
=x^2+3x-1x-3
-Combine like terms
=x^2+2x-3c
NUMBER 3
(x-2)(x+9)
-Factor
=x(x+9)-2(x+9)
-Distribute
=x^2+9x-2x-18
-Combine like terms
=x^2+7x-18
-Final answer.
NUMBER 4
(2x+2)(x+9)
-Factor
=2x(x+9)+2(x+9)
-Distribute
=2x^2+18x+2x+18
-Combine like terms
=2x^2+20x+18
-Final answer.
NUMBER 5
(x-7)(3x+2)
-Factor
=x(3x+3)-7(3x+2)
-Distribute
=3x^2+3x-21x-14
-Combine like terms
=3x^2-18x-14
-Final answer.
Please Help!!
Quadrilateral HIJK is similar to quadrilateral STUV. What's the scale factor from HIJK to STUV?
A)
3
B)
2∕3
C)
1∕2
D)
1∕3
Answers
Answer:
D
Step-by-step explanation:
18(Side of HIJK)/6(Corresponding side of STUV) = 1/3
GIVING OUT BRAINLIEST
If c is a constant such that x^2+100x+c is equal to the square of a binomial, then what is c?
Answers
Answer:
c = 2500
Step-by-step explanation:
[tex]x^2+100x + c\\x^2+2\times 50\times x + (50)^2\\=x^2+2\times 50\times x + 2500\\=x^2+100 x + 2500\\equating \: it \: with\: \\x^2+100x + c\\we\; find:\\c = 2500[/tex]
Answer:
c = 2500
Step-by-step explanation:
x² + 100x + c where c = ?
100 x : 100x / 2x = 50
(50)² = 2500
HOPE ITS HELPFUL!!
Side A B is parallel to Side D E in the map below.
Triangle A B C. Side A B is 15 feet and side B C is 9 feet. Triangle C D E. Side C D is 6 feet and side D E is x feet.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Answers
Answer:
I think its C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
PLEASE HELP ASAP AND SHOW YOUR WORK
Answers
Answer:
67
Step-by-step explanation:
you add the length
In the proportion 5/6=10/12 , the means are ______.
5 and 12
5 and 10
6 and 12
6 and 10
Answers
Answer:
6/10
Step-by-step explanation:
i'm right
sarra spent $45 at las hadas and left a 15% tip. how much was the bill
Answers
This is because when you multiply 45 by 0.15 to get the tip you get 6.75 so adding that to 45 gets you $51.75.
Answer:
$51.75
Step-by-step explanation:
15% of 45 or .15*45 will equal $6.75. Then you add that onto the $45 and you'll get your anwser, $51.75.
There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$ is $a$, then point $P$ is at $(3a, a^2+13a-11)$. If the slope of a line passing through $A$ and $P$ is $7$, find $a$.
Answers
Answer:
The x-coordinate of A is:
a = 6.1
Step-by-step explanation:
For point A:
x-coordinate = a
x-coordinate + y-coordinate = 14
y-coordinate = 14 - x-coordinate
y-coordinate = 14 - a
So point A can be written as (a, 14-a)
Let (a,14) be (x₁,y₁)
Point P can be written as (3a, a²+13a-11)
Let P be (x₂,y₂)
Slope of a line passing through 2 point is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m=7
Substitute all values
[tex]7=\frac{(a^2+13a-11)-(14-a)}{3a-a}\\7=\frac{a^2+13a-a-11-14}{3a-a}\\7=\frac{a^2+12a-25}{2a}\\14a=a^2+12a-25\\a^2-2a-25=0\\a=6.1,a=-4.1[/tex]
As A has only positive coordinates
a = 6.1
PlS HELP ASP HURRY BEST ANSWER GETS TO PICK BRAINLESST OR FOLLOW!!!
Answers
Answer:
Step-by-step explanation:
1. 6 L = 6000 mL
2. 54000 mL = 54 L
3. 11000 mL = 11 L
4. 13 L = 13000 mL
5. 23500 mL = 23.5 L
6. 0.201 L = 201 mL
Answer:
1. = 6000 ML 2.= 13000 ML 3.= 54 L 4.= 23.5 L 5.= 11 L 6.= 201 ML
Step-by-step explanation:
too find answer for ML divide it by 1000
and for L multiply it by 1000
Kami is cooking dinner for a family reunion that 21 people are attending.
If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?
A
12.6 oz
B. 13.125 oz
C. 22.6 oz
D. 33.6 OZ
Answers
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for p.
Answers
Answer:
Cylinder B
Step-by-step explanation:
V = [tex]\pi r^{2} h[/tex]
Cylinder A : π × 3² × 5 = 141.37
Cylinder B: π × 5² × 3 =235.62
If y(x) - 3(x+5) +-, what is f(a + 2)?
A. 3(a + 2) + + 2
4
B. 3(/(a)+5) +
(a) + 2
C. 3(a + 7) +
Answers
1.) What is the surface area of the figure below?
Answers
Answer:
Step-by-step explanation:
length (l) = 3 ft
Width (w) = 3 ft
Height (w) = 6 ft
Surface area = 2*( lw + wh + hl)
= 2* (3*3 + 3*6 + 6*3)
= 2*(9 + 18 + 18)
= 2 * 45
= 90 square ft
How does the graph of y= Vx+2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answers
Answer:
a) The graph is a horizontal shift of the parent function 2 units right.
Step-by-step explanation:
Explanation:-
Type of transformation Change to co-ordinate point
Vertical translation up 'd' units (x,y) →(x ,y+d)
Vertical translation down 'd' units (x,y) →(x ,y- d)
Horizontal translation left 'c' units (x,y) →(x-c ,y)
Horizontal translation right 'c' units (x,y) →(x+c ,y)
Reflection over X-axis (x,y) →(x ,-y)
Reflection over y-axis (x,y) →(-x ,y)
Given graph f(x) = √x
The graph is a Horizontal shift of the parent function '2' units right
Therefore the transformation of the graph [tex]y = \sqrt{x+2}[/tex]
