Answer:
Width= 12 yards
Length= 24 yards
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
Let
w= width
Twice as long as it is wide
Length= 2w
Perimeter of the rectangle= 72 yards
Perimeter of a rectangle= 2(length + width)
72 = 2(2w + w)
72 = 4w + 2w
72 = 6w
Divide both sides by 6
72/6 = w
12= w
w=12
Therefore,
Width= 12 yards
Length= 2w
=2(12)
=24 yards
Which equation represents a line that is parallel to Y equals negative 4X +3 and passes through the point (-3,2)
The picture is the answers.
Please help
Answer:
Hey there!
A line parallel to y=-4x+3 would have a slope of -4.
Point slope form: y-2=-4(x+3)
Simplify: y=-4x-10
Let me know if this helps :)
Answer:
A
Step-by-step explanation:
So we want an equation that is parallel to:
[tex]y=-4x+3[/tex]
And passes through:
[tex](-3,2)[/tex]
First, since we want the equation to be parallel to the first, the slope must be -4. This is because parallel lines have the same slope.
Now that we know the slope of our equation is -4, we can use the point-slope form to figure out the rest.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
m is -4. Let (-3,2) be x₁ and y₁. Thus:
[tex]y-2=-4(x--3)[/tex]
Simplify:
[tex]y-2=-4(x+3)[/tex]
Distribute:
[tex]y-2=-4x-12[/tex]
Add 2 to both sides:
[tex]y=-4x-10[/tex]
So our answer is A :)
-42=4v-18 Solve each equation
Answer:
v=6
Step-by-step explanation:
-42=4v-18
Add 18 to each side
-42+18=4v-18+18
-24 = 4v
divide each side by 4
-24/4 = 4v/4
-6 = v
Answer:
v = -6
Step-by-step explanation:
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 18 to both sides:
-42 (+18) = 4v - 18 (+18)
-42 + 18 = 4v
4v = 18 - 42
4v = -24
Next, divide 4 from both sides:
(4v)/4 = (-24)/4
v = -24/4
v = -6
v = -6 is your answer.
~
Simplify -2x+7=15, i need help understanding why it is -4
Answer:
-4
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
−2x+7−7=15−7
−2x=8
Step 2: Divide both sides by -2.
−2x
−2
=
8
−2
x=−4
A=1/2(a+b)h, solve for h?
Answer:
[tex]\huge \boxed{h=\frac{2A}{a+b} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle A=\frac{1}{2} \cdot (a+b) \cdot h[/tex]
Multiplying both sides by 2:
[tex]2A=(a+b) \cdot h[/tex]
Dividing both sides by (a + b):
[tex]\displaystyle \frac{2A}{a+b} =h[/tex]
[tex]\rule[225]{225}{2}[/tex]
3 ( 2x + 5 ) = 19 + 16
Answer:
x=10/3 or x=3 1/3
(Same thing)
Step-by-step explanation:
First, we distribute the 3 to 2x and 5:
6x+15=19+16
6x=20
x=20/6
x=10/3
x=3 1/3
A cyclist rides 250 meters in 1 minute. Find the speed in km/hr.
Answer:
250 meters/min = 15 km/hr
Step-by-step explanation:
The approximate number to divide from is 16.667. Divide the speed value by 16.667
Mr Tom shared $300 between his two sons aged 15 years and 10 years in
the ratio of their ages. Calculate the amount of money each boy received.
Answer:
Son of 15 years $180
Son of 10 years $120
Step-by-step explanation:
15 + 10 = 25
25 300
15 x = 300*15/25
x = 180
25 300
10 x = 300*10/25
x = 120
Son of 15 years $180
Son of 10 years $120
please someone help me to prove this.
Step-by-step explanation:
8 cos 80° cos 140° cos 160°
4 (2 cos 80° cos 140°) cos 160°
4 cos 160° (2 cos 80° cos 140°)
Use product to sum formula.
4 cos 160° (cos 60° + cos 220°)
4 cos 160° (½ + cos 220°)
2 cos 160° + 4 cos 220° cos 160°
2 cos 160° + 2 (2 cos 220° cos 160°)
Use product to sum formula again.
2 cos 160° + 2 (cos 60° + cos 380°)
2 cos 160° + 2 (½ + cos 380°)
2 cos 160° + 1 + 2 cos 380°
2 cos 160° + 1 + 2 cos 20°
Use shift identity cos(180 − θ) = -cos θ.
-2 cos 20° + 1 + 2 cos 20°
1
Our question that we have at hand here is 8(cos 80°)(cos 140°)(cos 160°). We need to convert that into 'decimal form' to prove that it equals 1. However decimal form doesn't generally give us a decimal, in this case.
Let's start by using the identity cos(s)cos(t) = cos(s + t) + cos(s - t) / 2. In this case we are looking particularly at the expression (cos 80°)(cos 140°), where s = 80, and t = 140.
[tex]\cos \left(80^{\circ \:}\right)\cos \left(140^{\circ \:}\right)=\frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}[/tex]
[tex]=8\cdot \frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}\cos \left(160^{\circ \:}\right)[/tex]
[tex]= 4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\cos \left(-60^{\circ \:}\right)\right)[/tex]
To further simplify this expression, we know that cos(- 60°) = cos(60°). This may not seem like a very effective step, but we can apply a few trivial identities here. Remember that cos(60°) = 1 / 2,
[tex]4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\frac{1}{2}\right)[/tex]
[tex]= 4(0.25)\\= 1[/tex]
And hence we proved that 8(cos 80°)(cos 140°)(cos 160°) in decimal form, = 1.
[tex]\sqrt{24n^3}[/tex] (simplify radical) please show work
Answer:
The answer is
[tex]2n \sqrt{6n} [/tex]Step-by-step explanation:
[tex] \sqrt{24 {n}^{3} } [/tex]First of all factor out the perfect square out.
In this question the perfect squares are 4 and x²
So we have
[tex] \sqrt{4 \times {n}^{2} \times 6n} [/tex]Separate the radicals
That's
[tex] \sqrt{4} \times \sqrt{ {n}^{2} } \times \sqrt{6n} [/tex]Simplify
[tex] \sqrt{4} = 2 \\ \sqrt{ {n}^{2} } = n[/tex]So we have
[tex]2 \times n \times \sqrt{6n} [/tex]We have the final answer as
[tex]2n \sqrt{6n} [/tex]Hope this helps
Answer:
[tex]2n \sqrt{6n} [/tex]
Step-by-step explanation:
[tex] \sqrt{24n {}^{3} } [/tex]
Factor out the perfect square ⬜[tex] \sqrt{2 {}^{2} } \times 6 {n}^{3} [/tex]
[tex] \sqrt{ {2}^{2} } \times 6n {}^{2} \times n[/tex]
Please the square root is for the entire formula ⬆️⬆️⬆️the root of the product is equals to the root of each Factor[tex] \sqrt{2 {}^{2} } \sqrt{n {}^{2} } \sqrt{6n} [/tex]
reduce the index of the radical and exponent with 2[tex]2 \sqrt{n {}^{2} } \sqrt{6n} [/tex]
[tex]2n \sqrt{6n} [/tex]
Solution2n square root 6n
[tex]2n \sqrt{6n} [/tex]
Hope this helps.....
find the distance between the 2 points on the graph.
HELPPPP
Answer:
6^2 + 3^2 = sqrt 45
the answer is the sqrt of 45
Step-by-step explanation:
Answer:
[tex] 3\sqrt{5} [/tex]
Step-by-step explanation:
Use the distance formula and the coordinates of the points.
The upper left point is (-5, 3).
The lower right point is (-2, -3)
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(-2 - (-5))^2 + (-3 -3)^2} [/tex]
[tex] d = \sqrt{3^2 + (-6)^2} [/tex]
[tex] d = \sqrt{9 + 36} [/tex]
[tex] d = \sqrt{45} [/tex]
[tex] d = \sqrt{9 \times 5} [/tex]
[tex] d = 3\sqrt{5} [/tex]
Write the phrase as an algebraic expression. A number plus six and three tenths. PLEASE HEEELP
Answer:
n + 6(3/10)
Step-by-step explanation:
6(3/10) is written as a mixed number
Answer:
x+6.3
Step-by-step explanation:
x+6.3
Please crate and answer your own rate or ratio word problem :-) help plz
Answer:
I went on a train trip and traveled 250 miles in 2 hours.
What is the train's rate of speed in miles per hour?
Answer: divide the number of miles by the time in hours.
rate of speed = (250 miles)/(2 hours) = 125 miles per hour
Six less than 4 times a number
Answer:
4x-6
Step-by-step explanation:
Six less than four times a number is four times x because times is multiplying and then subtracting six because less means minus (subtraction)
Find The Cube Root Of The Following: 1. 42875 2. 74088 3. 274625
Answer:
1 is 35 and 2 is 42 and 3 i think is 65
Step-by-step explanation:
Answer:
1. 42875 cube root is expresed as [tex]\sqrt[3]{42875}[/tex] = 35
2. 74088 cube root is expresed as [tex]\sqrt[3]{74088}[/tex] = 42
3. 274625cube root is expresed as [tex]\sqrt[3]{274625}[/tex] = 65
Luis deposited $300 into his bank account. He now has $4,511. Enter and solve an equation to find how much was in his account before the deposit. Let a represent the variable.
Evan's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 9 caffeinated teas and 6 decaffeinated teas. What percentage of the teas served were caffeinated?
Answer:
Step-by-step explanation:
9 + 6 = 15caffeinated/all types of teas = x/100 = [tex]\frac{9}{15} = \frac{x}{100}[/tex] Cross multiply and divide to find the percentage: 9 × 100 = 900, 900 ÷ 15 = 60Put 60 as the numerator: 60/100Convert to percentage: 60%You're done!
If you wanted to find the percentage of the decaffeinated teas, just subtract 60% from 100%, and you get 40%.
Answer:
60%
Step-by-step explanation:
what is the image of (-2, 3) after a rotation of a 180° counterclockwise?
Answer:
-3,2
Step-by-step explanation:
just flip the minus and plus
Answer:
-3,2
Step-by-step explanation:
you just rotate it 180 degrees on counterclockwise and it land on area 4
Use the discriminant to describe the roots of each equation. Then select the best description.
X^2-4x+4=0
x^2-4x+4=0
now;
x^2-4x=0-4
x^2-4x=-4
x(x-4)=-4
x^2-4x+4
multiply:
(-4 + i)(-1 + 5i)
Answer:
[tex]( - 4 + i) ( - 1 + 5i) \\ = 4 - 20i - 1i + 5 {i}^{2} \\ = 4 - ( -21i )+ 5i {}^{2} [/tex]
14. Simplify 4+ (-3) - 2 x (-6)
O A. 13
O B. 12
C.-11
O D. -10
Answer:
13
Step-by-step explanation:
1-2×(-6)=
1-(-12)=
1+12=13
22.34÷3 please help
Respuesta es 7.4466666667
The asnwer is 7.4466666667
Answer:
7.45 is the answer if u round it up it equals to this
The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and 60°, so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from the statement above?
Answer:
Step-by-step explanation:
Third angle = 180 - (40 + 60)
= 180 - 100
= 80°
When you subtract the sum of 40 and 60 from 180, you will get the third angle.
the area of a square is 36 units what is the perimeter?
Area of square = 36 unit²
To Find :Perimeter of square[tex].[/tex]
SoluTion :◈ Side of square :
[tex]:\implies\sf\:Area=(side)^2[/tex]
[tex]:\implies\sf\:36=(side)^2[/tex]
[tex]:\implies\sf\:side=\sqrt{36}[/tex]
[tex]:\implies\bf\:side=6\:unit[/tex]
◈ Perimeter of square :
[tex]:\implies\sf\:perimeter=4\times (side)[/tex]
[tex]:\implies\sf\:perimeter=4\times 6[/tex]
[tex]:\implies\underline{\boxed{\bf{\purple{perimeter=24\:unit}}}}[/tex]
Jaylon has a wrench labeled 0.1875 inch and bolts
labeled in fractions of an inch. Which size bolt will
best fit the wrench? Explain.
Answer: 3/16
Step-by-step explanation:
- you divide 3/16 which gets you to the answer of 0.1875
A fraction is a way to describe a part of a whole. The size of the bolt that will best fit in the wrench is 3/16 inches.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Jaylon has a wrench labeled 0.1875 inch and bolts labeled in fractions of an inch.
Now, the size of the bolt that will best fit in the wrench will be the bolt of size same as the wrench. Therefore, if we rewrite the size of the wrench it will be,
Size of the bolt = Size of the wrench
= 0.1875 inches
= 1875/10000 inches
Divide both the numerator and the denominator by 625
= 3/16 inches
Hence, the size of the bolt that will best fit in the wrench is 3/16 inches.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
The development of a city over the past twenty
years cost $962,234,534,288,644. What is the value
of the digit 3 in this number
Answer:
The 3 in that longest number I have seen in the world is 30 Billion.
Step-by-step explanation:
Million: 6 places before
Billion: 9 places before
Hope this helps!
Line, Line Segment, Ray...
A) are two - dimensional
B) have no dimension
C) are three-dimensional
D) are one dimensional
Answer:
A
Step-by-step explanation:
They are all straight paths with end points but a line is never ending but it is still two dimensional
Answer:
D - Are One dimensional
Step-by-step explanation:
Line , Line segments and Ray's are all one dimensional objects
A package of 3 pairs of insulated gloves cost $15.87. What is the unit price of pairs of gloves?
Answer:
The correct answer is $5,29
Step-by-step explanation:
The unit price helps us determine the price for a single unit of something that has been purchased in a group.
In this case we have a package of 5 pairs of insulated gloves, which includes 5 pairs and costs 29.45.
We want to know what the unit price is, that is, how much does a single pair of gloves cost.
To determine this we simply divide the total price by the number of gloves:
29.45 / 5 = 5.29
In this way we can confirm that the unit price of a pair of insulated gloves is $ 5.29.
Answer:
Each pair of gloves is $5.29
Step-by-step explanation:
Select the correct answer from the drop-dov
Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14,, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by
Answer: The sample mean is more than the population mean by 3.5
=======================================================
Explanation:
To get the population mean, first add up all the population values
4+6+7+11+12+18+26+23+14+31+22+12 = 186
Then divide that over 12 as there are 12 values in the population
186/12 = 15.5
The population mean is 15.5
----------
The sample mean is computed the same way
add the values = 11+31+22+12 = 76
Divide the sum by 4 = 76/4 = 19
The sample mean is 19
The sample mean is larger by 19 - 15.5 = 3.5
If a classroom has 7 students with black hair and there are 24 students in the
class, what percentage of the students have black hair? (Round your answer to
the nearest tenth of a percent)
Answer:
29.2%
Step-by-step explanation:
The fraction of students with black hair is 7/24. To convert that to a percentage, multiply by 100%.
7/24×100% = 29.1666(repeating)% ≈ 29.2%
A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing field?
w = 57.5 yards
l = 169.5 yards
Step-by-step explanation:P = 2w + 2l
466 = 2w + 2l
l = 3w - 3
466 = 2w + 2(3w - 3)
466 = 2w + 6w - 6
466 - 6 = 8w
8w = 460
w = 460 : 8
w = 57.5 yards
l = 3w - 3
= 3×57.5 - 3
= 169.5
l = 169.5 yards