Answer:
88 ft^2
Step-by-step explanation:
please find attached the diagram used in answering this question
Area of shaded region = area of regular polygon - area of triangle
area of regular polygon = 1/2 x height x perimeter of the polygon
perimeter of the polygon = number of sides x length of side
5 x 8 = 40
1/2 x 40 x 5.5 = 110 ft²
Area of a triangle = 1/2 x ( base x height)
1/2 x 5.5 x 8 = 22 ft²
Shaded portion = 110 - 22 = 88 ft²
5. A raincloud contains 2500 litres of water. The cloud is decreasing in size at
a rate of 4.3% per hour. Calculate the volume of water in the cloud in 8
hours time.
Answer:
Volume 1758.88 litres
Step-by-step explanation:
[tex]P = 2500. \ r = 4.3\% = \frac{4.3}{100} = 0.043, t = 8\\\\Volume = P(1 - r)^t\\\\[/tex]
[tex]= 2500(1-0.043)^8\\\\= 2500 \times 0.70355\\\\= 1758.88 \ litres[/tex]
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:
A line passes through the points (3, –1) and (5, 4). What is the slope of the line?
Answer:
D) 5/2
Step-by-step explanation:
(3, –1) and (5, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4 + 1)/(5 - 3)
m= 5/2
Answer:
5/2
Step-by-step explanation:
To find the slope, we can use the slope formula
m= (y2-y1)/(x2-x1)
= (4 - -1)/(5 - 3)
= (4+1)/(5-3)
= 5/2
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
Find x in each image below. Simplify any radicals.
To Find :
The value of x.
Solution :
We know, when two chords intersect outside the circle.
[tex]21\times ( 21 + 45 ) = x \times ( x+5x)\\\\1386 = 6x^2\\\\x^2 = 231\\\\x = \sqrt{231}[/tex]
Hence, this is the required solution.
1,100,300 in written in words please!
Answer:
one million one hundred thousand three hundred
A cube block has sides 8cm long. A cylindrical hole of radius 3.6 is drilled through the block. Find the volume of the block that remained
Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
Could you help ? It says “ a nursery plants a new tree and attaches a guy wire to help support the tree while it’s roots take hold. An eight foot wire is attached to the tree and to a stake in the ground the angle of elevation of the connection with the tree is 42 degrees . Find the nearest tenth of a foot, the height of the connection point on the tree” .
Answer:
5.4'
Step-by-step explanation:
See diagram attached.
The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.
Hence the height is the length of the hypotenuse multiplied by sin(42°)
H = 8sin(42°) = 8 *0.6691 = 5.353'
(see similar or identical question 23903470)
please provide a solution
HELP WILL COUNT BRAINLIEST
If a=2i+4j, b=2i-5j.What is the vector equation of line AB?.
Answer:
9j
Step-by-step explanation:
vector AB means going to B from A.
= pos. final - pos. initial
= pos.B - pos.A
= (2i + 4j) - (2i - 5j)
= 2i + 4j - 2i + 5j
= 9j
Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?
Answer:
$496,800
Step-by-step explanation:
Present cost = $480,000
%increase = 3.5%
Present price of the house = 480,000 + 3.5% of 480,000
= 480,000 + 0.035 * 480,000
= 480,000 + 16,800
= $496,800
Present price of the house = $496,800
Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.
Answer:
c. 125.6
Step-by-step explanation:
Pi= 3.14
r= d/2 = 40/2 = 20
[tex]2\pi \: r[/tex]
= 2 × 3.14 × 20
=125.6
How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)
Answer:
With 3 dots, you can only draw 1 triangle.
Step-by-step explanation:
All Triangles must have 3 sides, and 3 angles.
Note:
Pls, brainliest.
Thank you!
Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1
I NEED AN ANSWER ASAP PLEASE!!!
Answer:
40% properties are Semi-detached
Step-by-step explanation:
Given,
Percentage of Bungalow = 10%
Percentage of Detached properties = 30%
Percentage of Apartments = 20%
∴Total percentage of properties deducting the semi-detached properties
= (10 + 30 + 20) %
= 60%
∴ Percentage of semi detached properties = (100 - 60) %
= 40%
So, 40% properties are Semi-detached.
Points A, B, C, and D are the vertices of a square. Points E and F are the center of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions?
Answer:
8 sq units
Step-by-step explanation:
to find the area of shaded region:
area of square minus sum of areas of each semi-circle
A(square) = 6² = 36
A (semi-circle) = πr²/2
= π3²/2
= 4.5π
Since there are two semi-circles, that makes one complete circle with an area of 9π
A(circle) ≈ 28 sq units
36-28 = 8 sq units
PLEASE HELP GONNA FAIL WILL GIVE BRAINLESS
Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
Can somebody help with this
Answer:
B
Step-by-step explanation:
Domain is the x value and it is asking your for the coordinates with the same x value.
Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x
Please help with this ASAP
Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
Answer:
[tex]Area = 26478cm^2[/tex]
Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout
[tex]Area = \frac{\pi r^2}{2}[/tex]
Where
[tex]r = 60cm[/tex]
So:
[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]
[tex]A_1 = \frac{11304}{2}[/tex]
[tex]A_1 = 5652cm^2[/tex]
Next, the area of the complete trapezium
[tex]Area= \frac{1}{2}(a + b) * h[/tex]
Where
[tex]a = 300[/tex]
[tex]b = 2 * r = 2 * 60 = 120[/tex]
[tex]h = 153[/tex]
So:
[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]
[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]
[tex]A_2 = 32130cm^2[/tex]
The area of the desk is:
[tex]Area = A_2 - A_1[/tex]
[tex]Area = 32130cm^2 - 5652cm^2[/tex]
[tex]Area = 26478cm^2[/tex]
What are the solutions to the equation x² + 16x + 14 = 0?
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2
find and interpret the slope
Answer:
y interpret is 60
slope 60/4=20x
hope this helps
have a good day :)
Step-by-step explanation:
rationalise 1/√5 please tell
Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan
Which expression is represented by this model
Answer:
A
Step-by-step explanation:
The distance between 0 and 4/6 is 4/6. This distance is repeted two times
so we have 4/6 + 4/6 or 2 x 4/6
The park was muddy and the dogs’ paws got muddy while playing. Jen has wipes to clean the dogs’ paws. It takes one wipe to clean each paw. How many wipes will they need?
pls give me the correct answer
Answer:
A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.
Jen will need 4 wipes for each paw
Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above
Answer:
function A
Step-by-step explanation:
_______________
PLS HELP I WILL GIVE BRIANLY!
Francine bought 3 skirts that cost $2500 each before the discount. What was her total after
the discount?