Answer:
[tex](a)\ Perimeter = 6l[/tex]
[tex](b)\ Cost = \$36l[/tex]
Step-by-step explanation:
Given
[tex]l \to sides[/tex]
Solving (a): The perimeter
The shape has 6 sides; since the sides are equal, the perimeter is:
[tex]Perimeter = 6 * l[/tex]
[tex]Perimeter = 6l[/tex]
Solving (b): Cost of fencing
We have:
[tex]Unit\ cost = \$6/yd[/tex]
So, the cost is:
[tex]Cost = Unit\ cost * Perimeter[/tex]
[tex]Cost = \$6/yd * 6l[/tex]
[tex]Cost = \$36l[/tex]
To get the actual answer, substitute the length of one side of the hexagonal in the calculated expressions
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65
PLEASEEEE HELLPPPPPPPPP
Find the area of each regular polygon
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( x − 23 ) ∘ ∠A=(x−23) ∘ and m ∠ B = ( 2 x + 29 ) ∘ ∠B=(2x+29) ∘ , then find the measure of ∠ B ∠B
Answer:
85
Step-by-step explanation:
2x + 29 + x - 23 = 180
solve for x = 28
b = 2 * 28 + 29 = 85
During 1 month ,the mass of a person decreased from 50 kg to 40 kg . calculate the percentage decreased in the mass.
Answer:
Step-by-step explanation:
mass of person decreased=50kg-40kg
=10kg
decrease percentage=10/50*100
=10*2
=20%
Someone help me with 20 and 19 ASAP please and thank you!!
19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.
20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be
2 * 3^2 + 5
= 2* 9 + 5
=18 + 5
=23
find the tangent of angle A (giving brainliest and thanks to all!)
Answer:
Option B, 8 / 6
Step-by-step explanation:
Tangent = Opposite / Adjacent
Tangent of ∠A = Opposite / Adjacent
Tan(A) = 8 / 6 which is the same as Option B
Hope this helps!
What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!
Answer:
(0, 3)
Step-by-step explanation:
y= 3 when x=0
If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
Find area of the composite figure..
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.
Answer:
[tex]h_m=103.125ft[/tex]
Step-by-step explanation:
From the question we are told that:
Focus [tex]F=32ft[/tex]
Width of building [tex]W=200ft[/tex]
Height[tex]h=25[/tex]
Generally the equation for the Parabola is mathematically given by
[tex]y^2=4ax[/tex]
[tex]y^2=128x[/tex]
[tex]y^2=128b^2[/tex]
[tex]y=\pm8\sqrt{2b}[/tex]
[tex]b=\frac{25}{2\sqrt{2}}[/tex]
Therefore
[tex]x=b^2[/tex]
[tex]b^2=\frac{625}{8}[/tex]
Generally the Generally the equation for momentum is mathematically given by mathematically given by
[tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]
[tex]h_m=\frac{825}{8}ft[/tex]
[tex]h_m=103.125ft[/tex]
which equation can be used to solve for x
Answer:
x+41=90
Step-by-step explanation:
Because that is square which means 90 degrees so 41 degrees plus x equals to 90
Hi there!
»»————- ★ ————-««
I believe your answer is:
The second option, [tex]\boxed{x+41=90}[/tex].
»»————- ★ ————-««
Here’s why:
In the picture given, there are two angles that, together, make up a right angle. You can also tell that it is a right angle because of the box marked in the bottom left corner. The angles in the picture are also complementary angles. Complementary angles add up to 90°. Right angles measure 90°.⸻⸻⸻⸻
We can use the information given to set up an equation.
[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]
Option B matches the equation made. Therefore, option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Elena is feeding her neighbor's dogs. Each dog gets two thirds, cup of dog food, and she uses three and one-third cups of food. How many dogs does her neighbor have?
Five, five and an eighth cups of water fill four, one-half identical water bottles. How many cups fill each bottle ?
Answer:
Remember that:
[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]
A) We know that:
Each dog gets (2/3) of a cup of food.
Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?
The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:
[tex]N = \frac{3 + 1/3}{2/3}[/tex]
We can rewrite the numerator as:
3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3
Replacing that in the above equation, we get:
[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]
There are 5 dogs.
B)
We know that:
5 + 1/8 cups of water, can fill four bottles.
Then, how many cups we need for each bottle?
Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.
This is the quotient between (5 + 1/8) cups of water and 4.
[tex]K = \frac{5 + 1/8}{4}[/tex]
We can rewrite the numerator as:
5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8
Replacing that we get:
[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]
We can rewrite this as a mixed number in the next way:
[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]
So with 1 and 9/32 cups of water we can fill one of the bottles.
helppppppp meeeeeeee please
Answer:
33
Step-by-step explanation:
(3×3 )+(1/2 ×3×4) ×4 = 33
En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)
Answer: $11.30 per pound
Step-by-step explanation:
William spent $110.74 to buy 9.8 pounds of candy.
To find the cost per candy, divide the amount spent by the quantity of candy:
=Amount spent on candy / Quantity of candy
= 110.74 / 9.8
= $11.30 per pound
Write each number as a fraction or Mixed number.
(Please help! I'm trying to promote!)
Answer:
0.7 repeating is 7/9
0.04 repeating is 4/99
4.45 repeating 4 4/11
2.19191919...... is 2 19/99
hope this helps
have a good day :)
Step-by-step explanation:
(6. solve for x )
225 multiplyed by 1/3 = x
Answer:
Step-by-step explanation:
225*1/3=x
225/3=x
75=x
HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.
Answer:
150% increase
Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST
Answer:
B. {2/3, 1}Step-by-step explanation:
x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3Correct choice is B
i have 1 hour to do this. please help me :). 20pts!!!
Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?
Answer: <8.01, 5.60>.
Step-by-step explanation:
Vector:
[tex]v= (r\cos\theta,r\sin\theta)[/tex]
, where r = magnitude and [tex]\theta[/tex] = angle .
As per given,
[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]
[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]
Consider
[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]
Hence, the correct option is <8.01, 5.60>.
Help plz i will give brainliest!!!!!
Answer:
{3,4,5,7,9,10,13,17}
Step-by-step explanation:
The U means union and that means join sets A and B together
A U B
{3,4,5,7,9,10,13,17}
Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?
A 8s+4
B 4s+8
C 4+s+8
D 12s
Answer:
It would be B
Step-by-step explanation:
Find the value of x.
Answer:
d. 16 feet
Step-by-step explanation:
x² + 12² = 20²
x² + 144 = 400
x² + 144 - 144 = 400 - 144
x² = 256
√x² = √256
x = 16
Thank for doing it I love u
a) Very unlikely (1/30)
b) Unlikely (6/30)
c) Likely (15/30)
mark me brainliestt :))
Is the point (1,3) inside, outside the circle
Step-by-step explanation:
what is the center of the circle !
need a answer for this please
Unit 9 test: Trigonometry
What’s the correct answer to this problem
Answer:
See below.
Step-by-step explanation:
Remember SOHCAHTOA.
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(64) = x / 94
Multiply both sides by 94.
94sin(64) = 94x / 94
Simplify
x = 94sin(64)
x = 84.487 = 84.5