Answer:
Length = 8 meters
Width = 5 meters
Step-by-step explanation:
2*(3 + (1/4)L + L) = 26 meters
1/4L + L = 26/2 - 3
1/4L + 4/4L = 10
5/4L = 10
L = 10 * 4/5
L = 40/5 = 8 meters
W = 3 + 1/4 L
W = 3 + 1/4 *8
W = 3 + 2
W = 5 meters
Hey there! I'm happy to help!
Let's write this out as a system of equations. We will have W be the width and L be the length.
W=0.5L+3
2L+2W=516
Since we know that W is equal to 0.5L+3, we can swap the W in the second equation with 0.5L+3 so we can solve for L!
2L+2(0.5L+3)=516
We use the distributive property to undo the parentheses.
2L+L+6=516
We combine like terms.
3L+6=516
We subtract 6 from both sides.
3L=510
We divide both sides by 3.
L=170
Now, we know that the width is 3 meters more than half the length. So, we take 1/2 of 170, which is 85, and then we add three, giving us 88.
So, our length is 170 meters and the width is 88 meters.
Have a wonderful day!
Five boxes of crackers cost 9$. At this rate, how much do 20 boxes cost?
Answer:36
Step-by-step explanation: first I did
9÷5=1.80 per box.
so then I did 1.80 x 20 which = 36
Answer:
20 boxes cost $36
Step-by-step explanation:
Using proportions,
5 boxes cost 9$
20 boxes cost X$
Cross multiply
X = 9/5 * 20 = 36$
which equation can be used to find the length of AB
Answer:
B
Step-by-step explanation:
You have to use cos because you are using the adjacent and hypotenuse
So
cos38=x/14
multiply each side by 14
14cos38
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
Correct answer is option D. 96.4 yd.
Step-by-step explanation:
Please refer to the attached figure for labeling of the given diagram.
ABC is a triangle with the following labeling:
A is the hole, B is the Tee and C is the point where the ball is.
Sides are labeled as:
[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]
To find:
Side [tex]b = ?[/tex]
Solution:
Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.
We can use cosine formula here to find the value of the unknown side.
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting all the values:
[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]
So, the distance between the Ball and hole is 96.42 yd
Correct answer is option D. 96.4 yd.
Answer:
D.) 96.4 yd
Step-by-step explanation:
I got it correct on founders edtell
Pleasee HELP I HAVE TO TURN THIS IN pleaseee
Answer:
Below
Step-by-step explanation:
The surface are is given by this formula:
Sa= area of the base*the heigth + the area of the base *2
●●●●●●●●●●●●●●●●●●●●●●●●
2)
The base here has a triangular form.
Let A be the area of this triangle.
A= (6*8)/2 = 24 cm^2
Sa = A* 6 + A*2
Sa= 24*6 + 24*2
Sa = 192 cm^2
●●●●●●●●●●●●●●●●●●●●●●●●
The base here is a circle.
The area of a circle is :
A= r^2 * Pi
r is the radius (here 12 km)
A = 12^2* Pi
A= 144 Pi cm^2
Sa = 2*A + A* h
Sa = 7* 144* Pi + 2* 144* Pi
Sa= 4071.504
So the surface area is aporoximatively 4072 km^2
assuming there are no reflection of diliations explain how you would write the equation of the function whose is stretched graph belowh
Answer:
Start with the parent function y=1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit
Step-by-step explanation:It is the answer 100% on assignment
PLEASE HELP BRAINLY INSTANTLY
Kira solved the equation in the following way.
7/2 − 2x = 11/2
7/2 − 7/2 − 2x = 11/2 − 7/2
−2x ÷ −2 = 4/2 ÷ − 2
x = −1 Describe the properties of equality that Kira used. The first step is to use the ____ property of equality to combine the constant terms. The second step is to use the ___ property of equality to isolate the variable.
Answer:
subtraction; division
Step-by-step explanation:
the first step is to subtract 7/2 from both sides.
the second step is to divide by -2
Answer:
✔ Subtraction
✔ Division
Step-by-step explanation:
It's right in Edgen
(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°
Answer: The awnser is 45 degrees
Step-by-step explanation:
As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.
You want to find the area of the front of a house whose shape is a triangle on top of a rectangle with a width of 11. The triangle's height is 13 and the rectangle's height is 7. What is the total area of the front of the house? Round to the nearest tenth. Do not include square units in your answer.
Answer: 148.5
Step-by-step explanation:
To find the area of this shape, comprised of a rectangle and a triangle, we can find the area of each shape and add them together.
The area of a triangle is 12⋅b⋅h. We are given the triangle's height, 13. The base of the triangle will be the same as the width of the rectangle, which we also know: 11. Now we can calculate the area of the triangle:
A = 1/2⋅b⋅h
A = 12⋅11⋅13
A = 71.5
Now we can find the area of the rectangle, which is l⋅w. The width of the rectangle is 11, which is the same as the base of the triangle; the length is 7:
A =l⋅w
A = 7⋅11
A = 77
Finally, we can add together the area of the triangle and the rectangle to find the total area:
A = 71.5 + 77 = 148.5
The total area of the front of a house will be 148.5.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangle has a width = 11
The triangle's height = 13
The rectangle's height = 7
Now,
Since, The base of the triangle will be the same as the width of the rectangle.
Hence, The area of rectangle = 7 x 11
= 77
And, The area of triangle = 1/2 x 11 x 13
= 71.5
Thus, The total area of the front of a house = 77 + 71.5
= 148.5
Therefore, The total area of the front of a house will be 148.5.
Learn more about the rectangle visit:
https://brainly.com/question/398984
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A track star runs twice a day. In the morning, he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps. In the afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps. How
many total miles does he run in a day?
Answer:
12.65 miles
Step-by-step explanation:
he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps:
2 1/2 *3 1/2= 5/2 * 7/2=35/4=8.75 miles
afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps
1 3/10 *3=13/10*3=39/10= 3.9
total miles he runs in a day: 8.75+3.9= 12.65 miles
if sade can be 12 years and his mother senior him with 24 years and his dad senior him with 30 yearshow old is the sum of the both parents
Answer:
88
Step-by-step explanation:
mother's age = 12+24
= 36
father's age = 12+40
=52
add the parent age= 36+52
= 88
50 Pts!! Brainliest!! Answer ASAP, thx.
Answer:
1/625
Step-by-step explanation:
When you multiply, you add the exponents. You now have [tex]6^{-4}[/tex]. This is equivalent to [tex]\frac{1}{5^{4} }[/tex] which equals 1/625.
Answer:
1/625
Step-by-step explanation:
5^ -1 * 5^-3
The bases are the same, so we can add the exponents
5^ (-1+-3)
5^-4
We know that a^-b = 1/ a^b
1/5^4
1/625
In the diagram, PQRT is a rhombus. STUQ and
PUR are straight lines. Find the values of x and y.
Step-by-step explanation:
since PQRT is a rhombus,
URQ=TPU
y=180-90-24=66
x=180-32-90-24=34
What is the result of 36 divided by 9? Use the number line to find the answer.
Answer:
4
Step-by-step explanation:
Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles. What is the ratio of blue marbles to green and red marbles? Choose the answer that is a simplified unit rate. a 1 : 5 b 3 : 15 c 5 : 1 d 15 : 3
Answer:
a 1 : 5
Step-by-step explanation:
Blue mables: 3
green and red marbles: 8 + 7 = 15
then, the radio blue:(green+red) is:
3 : 15
simplified unit rate is:
3/3 = 1
15/3 = 5
then:
3:15
is equal to:
1:5
Answer:
a 1 : 5
Any help on this???????????
Answer:
x = 121°
Step-by-step explanation:
The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.
3 - 2x is a polynomial
Answer:
true
Step-by-step explanation:
3 -2x is a polynomial of degree 1, consisting of two terms. Such a polynomial can be referred to as a "binomial."
Your observation is True.
A double-blind experiment was conducted to evaluate the success of a Zika virus vaccine. What is the purpose of keeping treating physicians unaware of
the treatment status of the experimental subjects?
To eliminate grounds for malpractice suits
To ensure subjects were assigned randomly to treatments
To remove a possible source of bias
To make sure nobody is injured
To avoid the placebo effect
To remove a possible source of bias
Step-by-step explanation:
If the test subjects know they are part of an experiement, this could cause them to think that it worked and it could either lead to untruthful answers or the test subjects tricking themselves to think that the vaccine worked
Solve for the unknown angles. Justify your answers.
Answer:
1. 31.67 degrees
2. 38 degrees
3.
PNQ = 117 degrees
LKQ = 102 degrees
4. XYV = 120 degrees
Step-by-step explanation:
1. Using sum of angles of a triangle = 180
angle ACB = 180 - 55.14 - 93.19 = 31.67
2.
FDE = 180-GDE = 180 - 135.11 = 44.89 [angles on a line are supplementary]
FED = HEJ = 97.11 [vertical angles]
DFE = 180-FDE-FED = 180 - 44.89 - 97.11 = 38 degrees
3.
MLN = 180 - 82 = 98 [angles on a line are supplementary]
PNQ = 360 - 67 - 78 - 98 = 117 [sum of exterior angles of a polygon = 360]
LKQ = 180 - 78 = 102 [angles on a line are supplementary]
4.
WXY+YXZ = 180 [angles on a line are supplementary]
=>
3x + x = 180
=>
x = 180/4 = 45
Now solve for XYV
XYV = 360 - 135 - 60 - 45 = 120 [sum of interior angles of quadrilateral = 360]
Note: In the future, please limit the number of problems per question to three.
2.) Evaluate 6a² if a = 4
Answer:
96
Step-by-step explanation:
We simply need to plug in a = 4 so 6a² = 6 * 4² = 6 * 16 = 96.
The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.
When the water was 4 feet from the end of the hose, what was its height above the ground?
3.2 feet
4.8 feet
5.6 feet
6.8 feet
Answer: A) 3.2 ft
Step-by-step explanation:
f(4) = -0.3(4)² + 2(4)
= -4.8 + 8
= 3.2
Answer:
3.2 feet
Step-by-step explanation:
Exam Question
Solve x when 18 + 6x = 2x + 42
Answer:
x=6
Step-by-step explanation:
first write out the equation that is given:
18+6x=2x+42
next subtract 2x from both sides:
18+6x-2x=2x-2x+42, which becomes 18+4x=42
then subtract 18 from both sides:
18-18+4x=42-18, which becomes 4x=24
finally divide both sides by 4:
4x/4=24/4, which becomes x=6
Therefore, x=6 is your answer
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]18+6x=2x+42\\ \\\text{subtract 18 from both parts of the equation }\\\\18+6x-18=6x=2x+42-18=2x+24 \\ \\\text{subtract 2x from both parts of the equation }\\ \\6x-2x=4x=24\\ \\\text{divide by 4 both parts of the equation }\\ \\x=\dfrac{24}{4}=6\\ \\\text{So the solution is ... }\\ \\\large \boxed{\ \ x=6 \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
2. Find the distance between the two points. Round to the nearest tenth if necessary.
(0,9), (-8, -4)
21
15.3
9.4
233
Answer:
[tex]\boxed{D = 15.8\ units}[/tex]
Step-by-step explanation:
The coordinates are (0,9) and (-8,-4)
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(-8-0)^2+(-4-9)^2}[/tex]
D = [tex]\sqrt{(-8)^2+(-13)^2}[/tex]
D = [tex]\sqrt{81+169}[/tex]
D = [tex]\sqrt{250}[/tex]
D = 15.8 units
Answer:
15.3
Step-by-step explanation:
The coordinates are (0,9) and (-8,-4)
Distance of two points formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the values.
[tex]D=\sqrt{(-8-0)^2+(-4-9)^2}[/tex]
[tex]D=\sqrt{(-8)^2+(-13)^2}[/tex]
[tex]D=\sqrt{64+169}[/tex]
[tex]D=\sqrt{250}[/tex]
[tex]D= 15.264338...[/tex]
[tex]D \approx 15.3[/tex]
Aster corporation accepted a $20,000, 9 percent 120-day note dated august 25 from lee company in settlement of a past bill. On October 25, Aster Corporation decided to discount the note at a discount of 8 percent. The proceeds to Aster Corporation are (blank)
Answer:
$20, 533.33
Step-by-step explanation:
From the question, we are given the following values
Principal = $20000
Rate = 8% = 0.08
Time( in years) = 120days = 4 months = 4/12 years = 1/3 years
Interest = Principal × Rate × Time
Interest = 20,000 × 0.08× (1/4)
Interest = $533.33
Hence, the proceeds to Aster Corporation are
$20000 + $533.33
= $20,533.33
Assume that adults have it scores that are normally distributed with a mean of 99.6 and a standard deviation of 16.2 find the first quartile which is the hw score sepedafinf the bottom 25%
Answer:
88.7
Step-by-step explanation:
P(Z < z) = 0.25
z = -0.674
z = (x − μ) / σ
-0.674 = (x − 99.6) / 16.2
x = 88.7
If a sprinkler waters 1/15 of lawn in 1/5 of an hour how much time will it take to water the entire lawn ?
Answer:
3 hours
Step-by-step explanation:
1/5 of an hour would be equivalent to 12 minutes (60 minutes in an hour divided by 5)
Multiply 12 minutes by 15 to see how long it will take to water the entire lawn in minutes ----> 12x15=180
Divide 180 by 60 to see how many hours it takes ---> 180/60=3
Answer:
3 hours.
Step-by-step explanation:
1/15 of the lawn is watered in 1/5 hours
So the whole lawn is watered in 15 * 1/5
= 3 hours.
In how many ways can you arrange 4 different colored balls? 4,8,4!,3!,5!
Answer:
We can arrange 4 different colored balls in 24 ways.
Step-by-step explanation:
We have to find the number of ways in which we can arrange 4 different colored balls.
Firstly, we have to decide that either we use Permutation or we use Combination.
A Permutation is used when the order of arranging the numbers matters while on the other hand, a combination is used when the order of arranging the numbers doesn't matter.
So, in our question; the ordering matters to us as a ball which is placed in the first place can't be put again put in other places.
Number of ways of arranging 4 different colored balls = [tex]^{4}P_4[/tex]
= [tex]\frac{4!}{(4-4)!}[/tex] {[tex]\because ^{n} P_r = \frac{n!}{(n-r)!}[/tex] }
= 4! = [tex]4 \times 3 \times 2\times 1[/tex]
= 24 ways
Hence, we can arrange 4 different colored balls in 24 ways.
how do i solve for this help please \sqrt(x+5) = \sqrt(x)+1
Answer:
x=4
Step-by-step explanation:
sqrt(x+5) = sqrt(x)+1
Square each side
(sqrt(x+5))^2 = (sqrt(x)+1)^2
x+5 = (sqrt(x)+1)^2
Foil
x+5 = (sqrt(x)) ^2 + sqrt(x) + sqrt(x) + 1
x+5 = x + 2 sqrt(x) + 1
Subtract x from each side
5 = 2 sqrt(x) + 1
Subtract 1 from each sdie
4 = 2 sqrt(x)
Square each side
4^2 = (2 sqrt(x))^2
16 = 4 x
Divide by 4
16/4 = 4x/4
4 =x
Check to see if it is extraneous
sqrt(4+5) = sqrt(4)+1
sqrt(9) = sqrt(4) +1
3 = 2+1
3=3
It is a valid solution
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]
Take the square on both sides.
[tex]x+5=( \sqrt{x}+1)^2[/tex]
Expand brackets.
[tex]x+5=( \sqrt{x}+1) ( \sqrt{x}+1)[/tex]
[tex]x+5= \sqrt{x} ( \sqrt{x}+1) +1 ( \sqrt{x}+1)[/tex]
[tex]x+5= x+ \sqrt{x}+ \sqrt{x}+1[/tex]
[tex]x+5= x+ 2 \sqrt{x}+1[/tex]
Subtract 2√x, x, and 5 on both sides.
[tex]x- 2 \sqrt{x} -x= 1-5[/tex]
[tex]-2 \sqrt{x} = -4[/tex]
Cancel negative signs.
[tex]2\sqrt{x} = 4[/tex]
Divide both sides by 2.
[tex]\sqrt{x} =2[/tex]
Square both sides.
[tex]x=2^2[/tex]
[tex]x=4[/tex]
Check if the solution in the equation works.
[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]
Let [tex]x=4[/tex]
[tex]\sqrt{4+5} = \sqrt{4}+1[/tex]
[tex]\sqrt{9} = 2+1[/tex]
[tex]3=3[/tex]
The value of x as 4 works in the equation.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
C: [tex]\lim_{x \to 0} y \to -\infty[/tex]
Step-by-step explanation:
The y-axis is the asymptote, and G(x) approaches it as x is getting smaller and smaller.
Actually, even more accurate would be to write
[tex]\lim_{x \downarrow 0} y \to -\infty[/tex]
The down arrow shows that x has to approach 0 from the positive side.
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x
Answer:
3x (x - 2) (x + 3)
Answer 4
Hope this helps :)