A slightly more accurate value is 38.28 cm^2, when using pi = 3.14
=================================================
Explanation:
The vertical height of the rectangle is 4 cm, which forms the diameter of the semicircle. The diameter cuts in half to 4/2 = 2, which is the radius.
The area of a full circle with radius r = 2 cm is approximately pi*r^2 = 3.14*2^2 = 12.56 square cm.
Cut that in half to get (12.56)/2 = 6.28 square cm. This is the approximate area of the semicircle.
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The area of the rectangle is length*width = 6*4 = 24 square cm.
The triangle has its bottom portion of 4 cm (because 10-6 = 4) and its height is 4 cm, so we get the triangle area of base*height/2 = 4*4/2 = 8 square cm.
The last thing we do is add up all the results we got:
6.28 + 24 + 8 = 38.28
That rounds to 38 square cm when rounding to the nearest whole number.
HELP PLEASE!!!!!!!!
Answer:
B- 110
Step-by-step explanation:
If that curve is 110 then the angle is as well.
The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
Please help on this!!! Thanks!!
Answer:
7y=4y +9(corresponding sides of congruent triangle)
or,7y-4y=9
or, 3y=9
or,y=9/3
so,y=3
now
ST=7y=7×3=21
again
TU=4y+9=4×3+9=21
hope this will help you more
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
Does anyone know the answer for this?
These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?
Answer:
Option (3)
Step-by-step explanation:
"If two triangles are similar, their corresponding sides are proportional."
We will check each proportionality ratio given in the options for the given property,
Option (1),
[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]
[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]
[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]
But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].
Therefore, this option is not the answer.
Option (2),
[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]
[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]
[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]
But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],
Therefore, this option is not the option.
Option (3),
[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]
[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]
[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]
Therefore, this option is the answer.
Option (4),
[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]
[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]
But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]
Therefore, this is not the correct option.
A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?
Answer:
C
Step-by-step explanation:
Answer:
is C
Step-by-step explanation:
A pex i took the test
give brainlist if feeling nice
15y - 2y + 29 = 5y -27
Answer:
y=-7
Step-by-step explanation:
Answer:
8y=-56
Step-by-step explanation:
Subtract 15y-2y
after you get 13y subtract 5y which is 8y
afterwards subtract -29-27 which is addition and you get -56
y=-7
All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?
Answer:
$4.5
Step-by-step explanation:
Let the amount of money
Maria had = x
Nick had = y
All together Maria and Nick had $12.
= x + y = 12
x = 12 - y
After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.
30% of x = 50% of y
30/100 × x = 50/100 × y
0.3x = 0.5y
We substitute 12 - y for x above
0.3(12 - y) = 0.5y
3.6 - 0.3y = 0.5y
3.6 = 0.5y + 0.3y
3.6 = 0.8y
y = 3.6/0.8
y = $4.5
Therefore, in the beginning, Nick originally had $4.5
Which of the following expressions can be used to find how many meters it is from Washington, D.C.,To Baltimore
In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N
Answer:
126 degrees
Step-by-step explanation:
Simplify the product. Write your answer in standard notation 2y(5y^2 + 3)
Answer:
10y^3+6y
Step-by-step explanation:
An astronaut who weighed 150 pounds on Earth found that his weight on Jupiter was 400 pounds. He captured an alien that weighed 120 pounds on Jupiter. What is the alien's weight on Earth?
a.
45 pounds
c.
500 pounds
b.
30 pounds
d.
320 pounds
Please select the best answer from the choices provided
A
B
C
D
Which situations can be modeled by a linear function?
Answer:
A, C, E
Step-by-step explanation:
Which expression uses the distributive property to represent the sum of 72 + 24?
Answer:
a+b
Step-by-step explanation:
or any letter as long as it has the plus sign
The required expression for the given property is 8(9 + 3).
What is distributive property?The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.
The given expression is 72 + 24
In distributive form it can be written as,
GCF of 72 and 24 is 8.
Then, 72 = 8 × 9 and 24 = 8 × 3
Now, the given expression can be rewritten as below,
8 × 9 + 8 × 3
Take 8 as common to get,
8(9 + 3)
Hence, the expression that represents the distributive property is 8(9 + 3).
To know more about distributive property click on,
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PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
Please help this is a test and I don’t know what to do.
Answer:
u need to breath and calm down
Step-by-step explanation:
breath in and out for 5 sec u will feel better
PLEASE HELP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.
f(x) = 2 − x
f(x) = 3
f(x) = x
f(x) = 2
f(x) = 4
f(x) = 1
f(x) = -x
Domain Function Equation
0 < x ≤ 1 arrowRight
3 < x ≤ 4 arrowRight
2 < x ≤ 3 arrowRight
1 ≤ x ≤ 2 arrowRight
The domain and the corresponding functions are:
Function: f(x) = 3; Domain: 2 < x ≤ 3Function: f(x) = x; Domain: 1 ≤ x ≤ 2 Function: f(x) = 4; Domain: 3 < x ≤ 4Function: f(x) = 1; Domain: 0 < x ≤ 1What is domain?The domain of a function is the set of input values the function can take. This means that the domain is the x values of a function
Using the above definition of domain, the domain and the corresponding functions are:
Function: f(x) = 3; Domain: 2 < x ≤ 3Function: f(x) = x; Domain: 1 ≤ x ≤ 2 Function: f(x) = 4; Domain: 3 < x ≤ 4Function: f(x) = 1; Domain: 0 < x ≤ 1Read more about domains at:
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Will every function have a hole? Why or why not?
Answer:
Step-by-step explanation:
yes
El espesor de un borde de un componente de una aeronave está distribuido de manera uniforme entre 0.05 y 1.05 milimetros.Obtenga la función de distribución acumulada del espesor del borde.Calcule la proporción de bordes cuyo espesor es mayor que 1.02 milimetros.Qué espesor estEa excedido por el 90% de los bordes.Calcule la media y la varianza del espesor.
Answer:
a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]
b) 0.03
c) 0.15
d) La media es 0.55
La varianza es 8.[tex]\overline 3[/tex]
Step-by-step explanation:
La variación del espesor del componente de la aeronave = 0.05 a 1.05
El pdf de la variable 'X' se da de la siguiente manera;
[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05
a)
[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]
b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;
P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03
P(X > 1.02) = 0.03
La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03
c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;
P(X > x) = 1 - F(x)
∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)
x - 0.05 = 1 - 0.9 = 0.1
x = 0.1 + 0.05 = 0.15
∴ El espesor excedido en el 90% de los bordes, x = 0.15
d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;
[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]
Para la distribución de espesor de borde dada, tenemos;
0.05 < x < 1.05
[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]
El significado E(X) = 0.55
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]
La varianza, V(X) = 8.[tex]\overline 3[/tex]
Calculate the area of the shape.
Answer:
295 ft is the area of this shape
Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on bus fares. How much did she spend on bus fares to and from the zoo? A) $5.05 B $5.50 C $8.35 D $9.35 . museum announces that it has just
Answer:
To find your answer you would subtract $6.50 and $2.85 from $14.85
you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.
Step-by-step explanation:
Shabina is making a cubiod-shaped swimming pool. Her pool will be 20m long and 5m wide. Its volume will be 200m squared. What is the depth of her pool?
Answer:
2m
Step-by-step explanation:
HxWxL
20m x 5m = 100m
200m/100m = 2m
can anyone please help me I'm timed
Answer:
Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.
Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.
Answer:
yes it's all correct good luck
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
Find the circumference of the given circle. Round your answer to the nearest whole number.
Answer:
circumference = 31 inches
Step-by-step explanation:
using the Pythagorean theorem:
diameter² = 8² + 6² = 100
diameter = √100 = 10
circumference = 10 x 3.14 = 31.4 inches
An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls
Answer:
8 rooms
Step-by-step explanation:
6 ÷ 3/4 which equals 6 x 4/3 = 8
Answer:
8 rooms
Step-by-step explanation:
6 / (3/4) = 8
what is the soultons from least to greatest (x+6)(-x+1)=0
make a sentence with antonyms of
go and beatiful
Answer:
Stop believing that you are ugly.
Charlene owns a bookstore. She purchases used books from customers. • She pays $3.50 for each hardback book. • She pays $0.75 for each paperback book. • Charlene pays a customer a total of $199.75 for 149 used books. Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer?
Answer: Number of hardback = 32
Number of paperback = 117
Step-by-step explanation:
Let the number of hardback books be represented by x.
Let the number of paperback books be represented by y.
Based on the information given, we can form an equation which will be:
x + y = 149 ......... i
3.50x + 0.75y = 199.75 ...... ii
Multiply equation i by 3.50
Multiply equation ii by 1
3.50x + 3.50y = 521.50 ...... iii
3.50x + 0.75y = 199.75 .....iv
Subtract equation iv from iii
2.75y = 321.75
y = 321.75 / 2.75
y = 117
Number of paperback = 117
Since x + y = 149
x = 149 - y
x = 149 - 117
x = 32
Number of hardback = 32