Can you please help me with these problems, I just don't really understand how to calculate the area of these types of shapes.
thank you!
Answers
4. Not enough info, the shape is cut off. Are there 4 sides or 5? If there's a 5th side, is it slanted or parallel to the one labeled 10 ft?
5. The circle has a radius of 7 m, so its area is
π (7 m)² = 49π m²
Subtract from this the area of the white triangle. It has a base length equal to the diameter (i.e. twice the radius) of the circle, and a height equal to the radius, so its area is
1/2 (14 m) (7 m) = 49 m²
So the area of the shaded region is (49π - 49) m², or 49 (π - 1) m².
6. The rectangle has length 14 yd and height equal to the diameter of the circular cutout, 10 yd, so its area is
(14 yd) (10 yd) = 140 yd²
The circular cutout is a semicircle with radius 5 yd, so its area is
1/2 π (5 yd)² = 25π/2 yd²
Then the area of the shaded region is (140 - 25π/2) yd², or 1/2 (280 - 25π) yd².
7. The circle has radius 13 in, so its area is
π (13 in)² = 169π in²
The triangle has height 23 in and length 12 in, so its area is
1/2 (23 in) (12 in) = 138 in²
Then the area of the shaded region is (169π - 138) in².
8. The shaded region is a rectangle with a smaller rectangular cutout. The larger rectangle has height 19 cm and length 18 cm + 16 cm = 34 cm, so its area is
(19 cm) (34 cm) = 646 cm²
The smaller rectangular cutout has length 16 cm and height 19 cm - 16 cm = 3 cm, so its area is
(16 cm) (3 cm) = 48 cm²
Then the area of the shaded region is 646 cm² - 48 cm² = 598 cm².
9. The semicircular piece has radius 3 m, so its area is
1/2 π (3 m)² = 9π/2 m²
The triangle has height equal to the semicircle's diameter, 6 m, and length 9 m, so its area is
1/2 (6 m) (9 m) = 27 m²
Then the area of the shaded region is (9π/2 + 27) m², or 1/2 (9π + 54) m².
Related Questions
what is the rate of change of y=2x-5
Answers
Answer:
Which of the following statements best explains why this graph represents a relation that is not a function
Answers
Answer:
i think it’s “ the x values between 1 & 3 are each paired with multiple y values “
Step-by-step explanation:
The given relation is not a function because input value 1 and 3 have more than one value
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
As, we know if the relation is function then it's input value is distinct.
From the graph we can se that the input value 1 and 3 have more than one value
As, input 1 ----> {1.1, -1.1}
and, input 3 ----> {0, -2.5}
Hence, the given relation is not a function.
Learn more about function here:
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What do I do next? I’m confused.
Answers
what is the number if 50% of 25% of the number is 96
Answers
Answer:
12
Step-by-step explanation:
the number is 96
hence,
25% of 96=
25/100*96/1
=24
50% of 24=
50/100*24/1=
12
it also possible that you're to sum them,but since you were not asked for the sum of the number the answer is 12.
Answer:
768
Step-by-step explanation:
1. Try converting percentage into fractions and simplify them:
50%*25*n=96
of=multiplication
1/4*1/2*n=96
2. Multiply the fractions:
1/4*1/2=1/8
1/8*n=96
Other people say "Can you finish it?", but if you don't know, I'll finish it.
96*8=768
Therefore, the answer is 768.
Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.
Answers
Answer:
Total distance cover = 12t miles
Step-by-step explanation:
Given:
Priya's speed = 12 miles per hour
Total time taken = t hours
Find:
Total distance cover
Computation:
Distance = speed x time
Total distance cover = 12 x t
Total distance cover = 12t miles
Can u plz finish the rest show all the work
Answers
Answer:
1/12 is the answer
Answer:
12
Step-by-step explanation:
[tex]\frac{5}{6} - \frac{4}{3} (\frac{3}{4})[/tex]²
⇒ [tex]\frac{5}{6} - \frac{4}{3}[/tex] × [tex]\frac{9}{16}[/tex]
⇒ [tex]\frac{5}{6} - \frac{36}{48}[/tex]
⇒ [tex]\frac{5}{6} - \frac{3}{4}[/tex]
LCM of 4 and 6 is 24
⇒ 5 × 4/6 × 4 - 3 × 6/4 × 6
⇒ 20/24 - 18/24
⇒ 20-18 /24
⇒ 2/24
⇒12
hope this helps you^^
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Answers
Answer:
The x-intercepts of the function are [tex]x = 3[/tex] and [tex]x = -5[/tex].
Step-by-step explanation:
We are given the function [tex]\displaystyle f(x) = x^2 + 2x - 15[/tex].
In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.
The parent function for a quadratic is [tex]f(x) = ax^2 + bx + c = 0[/tex].
We can use this information to determine what factoring technique we want to use.
There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.
We see that our a is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:
Find what factors of c add up to give you b.Add to x if positive or subtract from x if negative and set it equal to zero.Solve for x - these are your x-intercepts.Therefore, let's determine what our c is: 15.
Now, let's label the factors for 15.
15 cannot be divided by 2 evenly.15 can be divided by 3 evenly: 15/3 = 515 cannot be divided by 4 evenly.15 can be divided by 5 evenly: 15/5 = 3Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).
Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:
[tex]5 + -3 = 2[/tex][tex]-5 + 3 = -2[/tex]Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.
Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.
[tex]x + 5 = 0\\\\x = -5[/tex]
[tex]x - 3 = 0\\\\x = 3[/tex]
Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.
Our answers are x = -5 and x = 3.
8 - 4/5f = -14 -2f
Please help this is the only one I need help on deadline is 11:59 as usual.
Answers
6f = -110
f = -55/3
Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.
Find the Resultant force acting on the object.
A. Magnitude
B. Direction angles
Answers
Answer:
59,0
Step-by-step explanation:
Trust me also on edge
The Magnitude of forces is 59 pounds and Direction angles of forces is 0
What is magnitude of two forces?The magnitude of force refers to the sum of all the forces that are acting on an object. If all the forces are acting in the same direction, then the magnitude of the force increases. If the forces are acting on an object in different directions, then the magnitude of the force decreases.
What is direction of angles of two forces?To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.
According to the question
Two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.
i.e,
F1 = 17 pounds
F2 = 42 pounds
Now,
As, magnitude of force refers to the sum of all the forces
Direction is also same
Magnitude : 17 + 42 = 59 pounds
Now,
The Direction angles : 0
As they are having same direction so angle will be 0 .
Hence, The Magnitude of forces is 59 pounds and Direction angles of forces is 0
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The shape is composed of three squares and two semicircles. Select all the expressions that correctly calculate the perimeter of the shape. #2 Group of answer choices 80+20π 40+20π 10+10+10π+10+10+10π 120+20π 300+100π
Answers
Answer:
120 + 20π
Step-by-step explanation:
Find the image of the question attached.
For the square;
Perimeter of a square = 4L
L is the side length of the square
From the diagram, L = 10
Perimeter of a square = 4(10) = 40
Perimeter of 3 squares = 3(40) = 120
For the semicircles:
Perimeter of a semicircle = 2πr/2 = πr
From the diagram;
L = radius of the semicircle = 10
Perimeter of a semicircle = π(10)
Perimeter of a semicircle = 10π
Perimeter of the two semicircles = 2(10π) = 20π
perimeter of the shape = perimeter of 3squares + 2 semicircles
perimeter of the shape = 120 + 20π
What is 2+2??? PLS HELP ASAP WILL MARK BRAINLIEST IF CAN
Answers
Answer:
2+2=?
Step-by-step explanation:
well 2+2=4
bc idek but i got a pair of fuzzy socks and i love them
b² - 4ac also known as
Answers
Answer:
-143
Step-by-step explanation:
(I THINK)
At Brunswick Elementary school, 2/5 of six-grade students have at least one pet. If school has 181 sixth graders, about how many sixth graders own pets?
Answers
Answer: 72.4
Step-by-step explanation:
Fraction of six-grade students that have at least one pet = 2/5
Number of sixth graders at Brunswick Elementary school = 181
The number of sixth graders that own own pets will be:
= 2/5 × 181
= 72.4
√-8 . √-32 show work
Answers
Answer:
-16
Step-by-step explanation:
Ramauri is thinking of a mystery number. He cuts it in half then takes away 9. The result is -5. What is the mystery number
Answers
Answer:
8
Step-by-step explanation:
mystery number= x
he divdes x by 2 and then subtracts 9 and gets -5. reverse the order to find x.
-5+9 which is 4 times 2 which is 8. x is 8
On Friday, Laura made $25 at her garage sale that her neighborhood was having. On Saturday, Laura had a 300% increase in profit than she did on Friday. How much money did Laura make on
Answers
Answer:
75$
Step-by-step explanation:
Helppppppp helpppppppp
Answers
Answer:
8^12
Step-by-step explanation:
8^7×8^5
add the exponents
7+5=12
keep the base
8^12
Se desea construir una rampa para alcanzar una altura de 0,75 metros. Si el ángulo de inclinación es de 5°.¿A qué distancia de la entrada debe comenzar la rampa?
Answers
Responder:
Los 8.57m
Explicación paso a paso:
La configuración será un triángulo rectángulo donde la distancia de la rampa a la entrada es el lado de la base (adyacente)
Dado
La altura de la rampa (opuesta) = 0,75 m
Ange de elevación = 5 °
Según TOA;
Tan theta = opp / adj
Tantheta = 0,75 / adj
Bronceado 5 ° = 0,75 / adj
adj = 0,75 / tan5 °
adj = 0,75 / 0,08749
adj = 8.57m
Por lo tanto, la rampa estará a 8.57m de la entrada.
S is the centroid of triangle NQL. What is the length of NR? 4 units 8 units 36 units 48 units
Answers
Answer: 36 units
Step-by-step explanation:
Just answered it
John has an object suspened in the air it has a mass of 50kg and is 50 meters above the ground calcuate the objcects ising potential energy
Answers
Answer: John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the object's potential energy.
Step-by-step explanation:
Calculate the potential energy for a 2 kg basketball dropping from a height of 3.5 meters with a velocity of 9.8 m/sec².
There are 2.5 oranges per pound, and 1.2 grapefruit per pound. With $50 you can buy 36 pounds of oranges or 45 pounds of grapefruit. If you have enough money to buy 29 pounds of grapefruit, how many oranges (to the nearest whole orange) could you buy instead? is it A.B.C.D OR E
A)23
B)28
C)90
D)58
E)91
Answers
there are 2.5 oranges per Pound
and 1.2 Grapefruit per Pound
In $ 50 one can buy 40 Pound Oranges
i.e. Oranges is
In 50 $ one can buy 55 Pound Grapefruit
i.e. Grapefruit is
If we have Enough money to buy 28 Pounds of Grapefruit
In 24.45 $ we can bought
19.56 pounds meaning
answer correctly pls lol kk
Answers
Answer: y= -4x-2
Step-by-step explanation:
glad i could help!
Which statement is true about this argument?
Premises:
If a quadrilateral is a square, then the quadrilateral has four right angles.
Quadrilateral JKLM has four right angles.
Conclusion:
Quadrilateral JKLM is a square.
The argument is not valid because the conclusion does not follow from the premises.
The argument is not valid because the premises are not true.
The argument is valid by the law of detachment.
The argument is valid by the law of syllogism.
Answers
Answer: The argument is valid by the law of detachment
Step-by-step explanation:
The law of detachment simply states that when the hypothesis is true, then the conclusion must also be true.
In this case, the argument is valid since the conclusion that "Quadrilateral JKLM is a square" follows from the argument that "a quadrilateral is a square, then the quadrilateral has four right angles".
The law of detachment is expressed here.
Answer:
This argument is not valid because the conclusion does not follow from the premises.
Step-by-step explanation:
test complete and It is not the Argument is valid by the law of detachment.
A rectangular fish tank has a base that is 8 inches
by 7 inches. How much water will it take to fill the
tank to a depth of 5 inches?
A 262 cubic inches
B 779 cubic inches
C 20 cubic inches
D280 cubic inches
Answers
Answer:
D
Step-by-step explanation:
8x7x5= 280
In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 more than half the measure of the largest angle. What is the measure of the middle angle?
Answers
Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
The angles in a triangle add up to 180 degrees.
The middle angle is 52 degrees
Let the largest, middle angle and the smallest angle be x, y and z
From the question, we have:
[tex]\mathbf{x = 3z -32}[/tex]
[tex]\mathbf{y = 8 + \frac 12x}[/tex]
Make z in [tex]\mathbf{x = 3z -32}[/tex]
[tex]\mathbf{z =\frac{x + 32}{3}}[/tex]
The angles in a triangle add up to 180 degrees.
So, we have:
[tex]\mathbf{x + y + z = 180}[/tex]
Substitute the expressions for y and z in [tex]\mathbf{x + y + z = 180}[/tex]
[tex]\mathbf{x + 8 + \frac 12x + \frac{x+32}{3} = 180}[/tex]
Multiply through by 6
[tex]\mathbf{6x + 3x + 48 + 2(x+32) = 1080}[/tex]
[tex]\mathbf{9x + 48 + 2(x+32) = 1080}[/tex]
Open brackets
[tex]\mathbf{9x + 48 + 2x + 64 = 1080}[/tex]
Evaluate like terms
[tex]\mathbf{11x + 112 = 1080}[/tex]
Subtract 112 from both sides
[tex]\mathbf{11x = 968}[/tex]
Divide both sides by 11
[tex]\mathbf{x = 88}[/tex]
Substitute 88 for x in [tex]\mathbf{y = 8 + \frac 12x}[/tex]
[tex]\mathbf{y = 8 + \frac{88}2}[/tex]
[tex]\mathbf{y = 8 + 44}[/tex]
[tex]\mathbf{y = 52^o}[/tex]
Hence, the middle angle is 52 degrees
Read more about triangles at:
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Please help me
it means a lot
Answers
2. 5
3. 10
4. 25
5. -11
6.1/4
7. 1
8. -1
Find the quotient: 3/5 ÷ 1 1/2 pls ASAP correct answer only thank u if u help
Answers
The answer would be 0.4 in decimal form
Answer:
6/55
Step-by-step explanation:
In these type of problems you mus keep, change, flip
[tex]\frac{3}{5} * \frac{2}{11}[/tex]
Now, multiply across
[tex]3*2[/tex] / [tex]5*11[/tex] = [tex]\frac{6}{55}[/tex]
Hope this helps :)
Write an explicit formula for a n , the n ^ (th) term of the sequence =6,-30,150,....
Answers
Answer:
[tex]t(n) = -5^{n-1}*6[/tex]
Step-by-step explanation:
[tex]t(n) = -5^{n-1}*6[/tex]
Jake scored 2 goals in soccer this season. Jaime scored 4 times as many goals as Jake. Edgar scored 3 times as many goals as Jaime. How many goals did Edgar score?
Answers
Answer:
Edgar scored 24 goals in soccer this season.
Step-by-step explanation:
Proportions
We can calculate the number of goals scored by Edgar this season if we follow the relationships given in the problem.
First, we know jake scored 2 goals. Also, we know Jaime scored 4 times as many goals as Jake.
This means Jaime scored 2*4 = 8 goals.
Finally, we know Edgar scored 3 times as many goals as Jaime.
Then, Edgar scored 8*3 = 24 goals.
Edgar scored 24 goals in soccer this season.
Andrew had a collection of 300 baseball cards at the beginning of the summer After the summer Andrew had traded some of his baseball cards and know he only has 213 baseball cards What percent is the decrease of his baseball cards collected
Answers
Answer:
The percentage decrease is 29%
Step-by-step explanation:
Given
[tex]Initial = 300[/tex]
[tex]Final = 213[/tex]
Required
Determine the percentage decrease
This is calculated as thus:
[tex]\%Percentage = \frac{|Final - Initial |}{Initial} * 100\%[/tex]
Substitute values for Final and Initial
[tex]\%Percentage = \frac{|213 - 300|}{300} * 100\%[/tex]
[tex]\%Percentage = \frac{|-87|}{300} * 100\%[/tex]
Get absolute value of -87
[tex]\%Percentage = \frac{87}{300} * 100\%[/tex]
[tex]\%Percentage = \frac{87* 100\%}{300}[/tex]
[tex]\%Percentage = \frac{8700\%}{300}[/tex]
[tex]\%Percentage = 29\%[/tex]
Hence, the percentage decrease is 29%