What is the area of the polygon? Show your work.
Answer:
33 square units
Step-by-step explanation:
Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.
Area of the rectangleThe area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.
Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.
Substituting in the values, we get:
[tex]A = (6)(4)\\A = 24[/tex]
The area of the rectangle is 24 square units
Area of the trianglesThe area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].
The base of each triangle is 3, and the height of each triangle is also 3.
Substituting in the values, we get:
[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]
The area of each triangle is 4.5 square units
Area of the polygonTo get the area of the polygon, we simply add up the area of the rectangle and both triangles
[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]
The total area of the polygon is 33 square units.
Expand the brackets. 7 ( 5 + g ) 11 ( 3s – 4 ) 4 ( 4 – x ) 8 ( 6 + 4w )
Answer:
See answers below
Step-by-step explanation:
Expand the brackets. 7 ( 5 + g ) 11 ( 3s – 4 ) 4 ( 4 – x ) 8 ( 6 + 4w )
We will expand each of the bracket using distributive property
For the expression 7(5+g)
7(5)+7g
= 35+7g
For the expression 11(3s-4)
= 11(3s)-11(4)
= 33s-44
For the expression 4(4-x)
= 4(4)-4x
= 16-4x
For the expression 8(6+4w)
= 8(6)+8(4w)
= 48+32w
Ricky made approximately 4 goal points for every 7 of his shots on goal. What is the probability that Ricky would make 2 goal points on two shots in a row during the season?
Given:
Ricky made approximately 4 goal points for every 7 of his shots on goal.
To find:
The probability that Ricky would make 2 goal points on two shots in a row during the season.
Solution:
Using the given information, the probability of a goal point on one shot is:
[tex]P(one\ goal)=\dfrac{4}{7}[/tex]
We need to find the probability that Ricky would make 2 goal points on two shots in a row during the season.
Since the both shots are independent events therefore,
[tex]P(Two\ goals)=P(one\ goal)\times P(one\ goal)[/tex]
[tex]P(Two\ goals)=\dfrac{4}{7}\times \dfrac{4}{7}[/tex]
[tex]P(Two\ goals)=\dfrac{16}{49}[/tex]
Therefore, the required probability is [tex]\dfrac{16}{49}[/tex].
Find x.
Do not round your answer.
12 cm
6 cm
No links
Answer:
679.6
Step-by-step explanation:
Giving Brainliest if answer is correct
if x varies directly as y and x=3 when y=15 find the value of x when y=25
Answer:
Step-by-step explanation:
x=5
Answer:
x is 5.
Step-by-step explanation:
X varies directly with y, so we can use the equation x = yk (with k standing for the constant of variation) to find what the constant is. Substitute 3 for x and 15 for y
3 = 15k
Now divide both sides by 15.
3/15 = k
3/15 simplifies to 1/5.
1/5 = k
Now that we know the constant, then what we need to do is find 1/5 of 25 to get x.
1/5(25) = x
Multiply 1/5 by 25 to get 5.
5 = x
The problem is solved.
X will be 5 in this scenario.
Find the volume of the sphere.
Either enter an exact answer in terms of it or use 3.14 for T.
6
units
Answer:
Volume = 904.32 units³
Step-by-step explanation:
Volume = 4/3πr³ = 4/3(3.14)(6³) = 904.32
Rewrite 8*8*8*8 using an exponent
Answer:
8⁴
Step-by-step explanation:
8*8*8*8 =8⁴
8 exponent 4
Answer:
[tex]8^{4}\\[/tex]
Step-by-step explanation:
An exponent describes how many times the base is repeatedly shown. For instance:
6³
6 is the base and 3 is the exponent. Because the exponent is 3, the base is repeated that many times. Here's what I mean:
6² = 6 (6) (6)
So in 8 (8) (8) (8), the base would be 8 and this is repeated 4 times. So the exponent would be 4.
So your answer would look like [tex]8^{4}[/tex].
a diameter of 120 feet. To the nearest foot, what is the minimum length of fencing he needs to buy? If the fence costs $2.10 per foot, what will be the total cost?
Step-by-step explanation:
they have 122.1 of total of cost
Answer:
It is assumed the full circular fencing is needed.
Circumference of the circle = the length of fencing:
C = πd = 3.14*120 feet = 376.8 feet ≈ 377 feetTotal cost:
377*$2.10 = $791.70Maria is in charge of making punch for the party she adds two quarts of water to 1 quart of orange juice and 2 quarts of mango juice then she adds one quart of crushed strawberry juice and 2 quarts of pineapple juice to the mixture how many quarts of punch does Maria make?
Answer:
8 quarts
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Water = 2 quarts
Orange Juice = 1quarts
Mango Juice = 2 quarts
Strawberry juice = 1 quart
Pineapple Juice = 2 quarts
So, Total mixture = Sum of all ingredients in quarts
= 2 + 1 + 2 + 1 + 2 = 8 quarts
Hence, Maria makes 8 quarts of punch.
Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
1. 45 and 135
2. 45 and 45
3. know that triangles add up to 180 so:
95+40=135 either use algebra or just do 180-135 to get:
x=45
A wading pool is being filled with water from a garden hose at a rate of
6 gallons per minute. If the pool already contains 80 gallons of water and can hold
152 gallons, after how long will the pool overflow?
Assume m minutes later, the pool would overflow. Write an equation to model this scenario. There is no need to solve it.
A wading pool is being filled with water from a garden hose at a rate of
6 gallons per minute. If the pool already contains 80 gallons of water and can hold 152 gallons, and it will take 12 minutes for the pool to overflow.
In this scenario, we have a wading pool being filled with water from a garden hose at a constant rate of 6 gallons per minute. The pool already contains 80 gallons of water, and its maximum capacity is 152 gallons. We want to find out how long it will take for the pool to overflow.
Let's use "t" as the variable representing time in minutes. After "t" minutes, the amount of water in the pool will be the initial 80 gallons plus the additional water being filled by the hose at a rate of 6 gallons per minute. We can express this mathematically as:
Amount of water in the pool after "t" minutes = 80 gallons + 6 gallons/minute * "t" minutes
Now, we want to find out when the pool will overflow. The pool's capacity is 152 gallons, so we set up an equation to represent this:
Amount of water in the pool after "t" minutes = 152 gallons
Substituting the earlier expression for the amount of water in the pool after "t" minutes:
80 gallons + 6 gallons/minute * "t" minutes = 152 gallons
Now, we have an equation to model the scenario: "80 + 6t = 152".
To find the time "t" it takes for the pool to overflow, we need to solve this equation for "t."
To solve for "t," we need to find the value of "t" that satisfies the equation we derived earlier:
80 + 6t = 152
To isolate "t," we'll perform the following steps:
Subtract 80 from both sides to move the constant term to one side of the equation.
80 + 6t - 80 = 152 - 80
This simplifies to:
6t = 72
Divide both sides by 6 to solve for "t."
t = 72 / 6
t = 12
So, it will take 12 minutes for the pool to overflow.
In summary, we have a wading pool being filled with water at a rate of 6 gallons per minute, and we want to know when it will overflow, given its current water level of 80 gallons and a maximum capacity of 152 gallons. The equation "80 + 6t = 152" models this situation, with "t" representing the time in minutes. Solving this equation will give us the time it takes for the pool to overflow.
To know more about Equation here
https://brainly.com/question/29181550
#SPJ2
Martha has to learn 208 lines for the school play. If she learns 8 lines every day, how many days will it take her to learn all her lines? PLSSS HELP giving brainliest
Answer:
28 days
Step-by-step explanation:
Use the drawing given. (Please answer first blank and let me know it the second blank is correct.)
Answer:
EF = 12
arc AG = 62°
Step-by-step explanation:
since ED = 13, EC = 13, so DF = 10/2 = 5
EF² + 13² - 5² = 169 - 25 = 144
EF = √144 = 12
∠AEG = 90° - 28° = 62°
arc AG = 62°
Please help with this Khan academy question ASAP!
Thank you!
Answer:
b4
Step-by-step explanation:
NO LINKS PLEASE HELP NOW COMPLETELY ACCURATE ANSWER IMMEDIATELY PLEASE ANSWER I WILL GIVE BRAINLIEST
Answer:
got em
Step-by-step explanation:
an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions. she wants to know how many more cups she needs to chop. HELP PLS
She need 1 2/3 more cups
Hope this helped :3
Which points are a solution to the graph
Answer:
3,2
Step-by-step explanation:
PLEASE HELP WILL MARK U BRAINLIEST
Answer:
C) 16.97
Step-by-step explanation:
If the sides are 12, the hypotenuse is 12*(2^1/2) to the 45 - 45 - 90.
When you put 2*(2^1/2) into the calculator, you get 16.97.
Answer:
16.97
Step-by-step explanation:
Equation used: c=[tex]\sqrt{ax^{2} +bx^{2} }[/tex]
Equation filled out: c=[tex]\sqrt{12x^{2} +12x^{2} }[/tex]
Next step: c=[tex]\sqrt{288}[/tex]
Total: 16.97056 though to the hundreath place 16.97
So if both legs are 12 inches each, that mean that 12^2 +12^2 which totals out too 288, then you find the full square of 288 which leads out to 16.97!
The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball?
Give the exact solution.
HELPP
Answer:
523.6
Step-by-step explanation:
Here is the equation to get that answer:
V=4/3πr3=4/3·π·53≈523.59878
Which equation matches the function shown in the graph?
A. Y= sin(x-pi)+3
B. Y= 3cos(x+pi)
C. Y= 3sin(x-pi)
D. Y= 3cos(x-pi)
Answer:
its c ! just took the test :)
Option C is correct. The equation that matches the function shown in the graph is expressed as y = 3sin(x-π)
The general formula for a sine function is expressed as;
y = Asin(x+Ф)
A is the amplitude i.e the maximum point on the curve. From the diagram, we can see that the maximum point is at 3 (factor 3 elongates the curve).
A = 3
Also, since the graph translates to the right by π, hence Ф = -π
Substituting the resulting values into the formula, we will have;
y =3sin(x+ (-π))
y = 3sin(x-π)
Hence the equation that matches the function shown in the graph is expressed as y = 3sin(x-π)
Learn more about since graph here: https://brainly.com/question/16262155
Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)
Answer: y= -3(x+4)
Step-by-step explanation:
Find the missing angle measure.
52
Answer:
128
Step-by-step explanation:
Sum of interior angles of a 4 sided quadrilateral is 360.
90 + 90 + 52 + x = 360
232 + x = 360
x = 360 - 232
x = 128
Which is the graph of g(x) = (0.5)x+ 3 – 4?
1
Answer:
It will look like this
Step-by-step
Find the exact value of x.
Answer:
x=6.9
Step-by-step explanation:
[tex]x^{2} =6*8[/tex]
[tex]x=\sqrt{48}[/tex]
[tex]x=6.9[/tex]
[tex]hope[/tex] [tex]it[/tex] [tex]helps...[/tex]
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day!!![/tex]
Marking brainliest.A block of cheese is in the shape of a triangular prism. The area of the base for the block of cheese is 96
square centimeters. The volume of the cheese is 960 cubic centimeters. What is h, the height of the block
of cheese in centimeters?
Answer:
the answer will be 244rhruiewowworbvrueie
A race car has a average speed of 105 miles per hour. How long will it take to cover 140 miles?
Please answer correctly! I will mark you as Brainliest!
Answer:
answer what?
Step-by-step explanation:
Please answer correctly!
answer:
16.24 or 12 square root of 18
Anyone know answer ???
Answer:
C
Step-by-step explanation:
We know that ∠ 1 + ∠ 2 + ∠3 = 180 → (1)
and ∠ 3 + ∠ 4 = 180 → (2)
From (2) ∠ 3 = 180 - ∠ 4
Substitute ∠ 3 = 180 - ∠ 4 into (1)
∠ 1 + ∠ 2 + 180 - ∠ 4 = 180 ( add ∠ 4 to both sides )
∠ 1 + ∠ 2 + 180 = 180 + ∠ 4 ( subtract 180 from both sides )
∠ 1 + ∠ 2 = ∠ 4 → C
4% of the mass is 20kg. Find the full mass.
anyone know?
Answer:
The full mass is 500 kg.
Step-by-step explanation:
Let's break this down.
4% of the mass is 20 kg.
4% = 4/100 or 0.04
"of" = multiply
mass = our unknown value, x
is = equal sign
20 kg = our end result
Let's make an equation out of this.
4% of the mass is 20 kg.
0.04 • x = 20
Divide both sides by 0.04.
x = 500
The full mass is 500 kg.
Hope this helps!
Answer:
500 kg
Step-by-step explanation:
4% = 20 kg
→ Find 1% by dividing both sides by 4
1% = 5 kg
→ Find 100% by multiplying both sides by 100
100% = 500 kg