Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.
Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).
Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]
Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:
[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]
The population of Springville was 3543 when Oliver was born.
If the population increases at a rate of 2.7% per year, which equation could be used to determine when the population will be 4125, where x
is the number of years after Oliver was born?
A-3543 = 4125(0.027)*
B. 3543 = 4125(1.027)
O C. 4125 = 3543(0.027)"
D. 4125 = 3543(1.027)*
Parallelogram CDEF is formed inside of rectangle AEBC to create triangle ADC and triangle EBF as shown in the model below.
How much greater is the area of parallelogram CDEF than the area of triangle EBF in square centimeters?
The areas of the parallelogram CDEF and triangle EBF can be calculated
from which the difference between the areas can be found.
Response:
The amount by which the area of parallelogram CDEF is greater than the area of triangle BF is C. 493.5 cm².Which methods can be used to evaluate the areas of the regular shapes?Area of the parallelogram CDEF = CF × EB
Which gives;
Area of the parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²
Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB
Which gives;
Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²
The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]
Which gives;
ΔA = 609 cm² - 115.5 cm² = 493.5 cm²
The area of parallelogram CDEF is 493.5 cm² greater than the area of triangle BFThe correct option is C. 493.5 cm²Learn more about the area of regular shapes here:
https://brainly.com/question/10572314
PLEASE HELP!!! I’ll give brainlest
2. What is the solution to the equation..
5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3
Answer:
J. 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
5m−(m+4)=2
Step 1: Simplify both sides of the equation.
5m−(m+4)=2
5m+−1(m+4)=2(Distribute the Negative Sign)
5m+−1m+(−1)(4)=2
5m+−m+−4=2
(5m+−m)+(−4)=2(Combine Like Terms)
4m+−4=2
4m−4=2
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
In △LMN , the measures of the angles L, M, and N, respectively, are in the ratio 1:2:5. Find the measure of each angle.
Answer:
1- 22.5°
2- 45°
5- 112.5°
Step-by-step explanation:
[tex]180 \div 8 = 22.5[/tex]
[tex]22.5 \times 5 = 112.5[/tex]
[tex]22.5 \times 2 = 45[/tex]
[tex]22.5 \times 1 = 22.5[/tex]
ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
2) Poe Tayto wants to
know how long it will take an investment of $1,000
to earn $500 in interest if the yearly interest rate is 4.75%. Please answer fast and show work I will mark you as brain
Answer:
It will take 8.73 years.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,000
Future value (FV)= $1,500
Interest rate (i)= 4.75% compounded annually
To calculate the time required for the initial investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(1,500/1,000) / (1.0475)
n= 8.73
It will take 8.73 years.
EASY POINTS!! EASY POINTS!!
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
A. 36 cm
B. 15 cm
C. 21 cm
D. 12 cm
Answer:
A. 36cm
Step-by-step explanation:
When measuring it with a ruler, you will get six of the top rectangle
6 x 6 = 36
The measure of arc CD is 175°. Determine the measure of DBC.
1) 350 2) 87.5 3) 5 4) 175
Answer:
∠ DBC = 87.5°
Step-by-step explanation:
The inscribed angle DBC is half the measure of its intercepted arc, then
∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.
B
Diagram NOT
accurately drawn
2
489
D
E
A, Band D are points on a circle, centre O.
CDE is a tangent to the circle.
Angle ADO = 48°
Work out the size of angle ABD.
(4 marks)
please help asap ill give brainliest
Answer:
∠ ABD = 42°
Step-by-step explanation:
∠ ODC = 90° ( angle between tangent and radius )
∠ ADC = 90° - 48° = 42°
The angle between a tangent and a chord is equal to the angle in the alternate segment, that is
∠ ABD = ∠ ADC = 42°
Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?
Answer:
She ate 2 pounds
Step-by-step explanation:
(how do you eat 2 pounds of strawberries like what)
Please help
11.5 gal
= qt
Answer:
46
Step-by-step explanation:
1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2
44+2=46
how many 1/2 cups are needed to fill the gap in this prism
A. 2
B. 4
C. 6
D. 8
have a great day!♡
Answer:
I don't know what prism. once you see this put it in the description of this
Step-by-step explanation:
Kurt runs diagonally across a rectangular field that has a length of 30 m and a width of 40 m as shown in the figure. What is the distance
that Kurt runs? Place the value in the empty box below.
Figure is not drawn to scale.
DRAG & DROP THE ANSWER
50 m
30 m
40 m
30 m
V
10 m
40 m
y =
Answer: 50
Step-by-step explanation:
ABCD is a parallelogram. Which statements are true?
Answer:
Final Answer: Statements 1, 2 and 4 are correct.
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
If this helped you please rate
Final Answer: Statements 1, 2 and 4 are correct.
How do I solve this?
13x + 3x + 2x = 180°
=> 18x = 180°
=> x = 180°/18
=> x = 10°
Ec is a diameter solve for x well i really dont know
The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours
Answer:
53 mins
Step-by-step explanation:
1 7/10 - 1 1/2
it has to be a fraction and no links
The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?
Answer:20.7 ft
Step-by-step explanation:
PLS IS NEEDED PLS HELP!!
Answer: 19°
Step-by-step explanation: 90+71= 161
180-161= 19
(correct me if i’m wrong):)
Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
I need this pleaseeee
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
make k the subject of the formula y=
Answer:
You forgot to send the question. Send the full question when you can
Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:
Answer:
1. A wingsuit pilot is not in freefall.
2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.
Step-by-step explanation:
1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.
2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.
A rectangular swimming pool has a volume of 16,320 cubic feet, a depth of 8 feet, and a length of 85 feet. What is the width of the swimming pool?
a) 24 ft
b) 48 ft
c) 192 ft
d) 2040 ft
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
Write the equation of the line in fully simplified slope-intercept form
Answer:
Take 2 points through which the line is passing.
Let it be (0, -3) and (1, 2)
[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]
[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]
[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]