Answer:
It would be 25.
Step-by-step explanation:
By knowing that opposite sides of a rectangle are congruent, you can start by making a right triangle, with 7 and 24 as the legs.
Next, employ Pythagorean Theorem (a^2+b^2=c^2) to get the diagonal.
7^2+24^2=c^2
49+576=c^2
625=c^2
25 = c
It would be 25.
If the square of a positive integer is added to four times to integer the result is 117 find the integer.
Answer:
x = -2 ± 452i
Step-by-step explanation:
x² + 4x = 117
x² + 4x - 117 = 0
if you solve this quadratic by using the quadratic formula you get:
x = -2 ± 452i
452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]
What is the shape of the cross-section formed when a cylinder intersects a
plane as shown in the drawing?
O A. circle
B. oval
C. rectangle
OD. square
Answer: circle
Step-by-step explanation:
The shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know, the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
As we can see in the picture the cylinder is cut by a plane that is parallel to the base of the cylinder.
The base of the cylinder is a circle.
the shape of the cross-section is formed when a cylinder intersects a
the plane is a circle.
Thus, the shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
In 2017, you are starting to plan for retirement. You decide to deposit
$2.000 into a mutual fund that compounds quarterly and earns 4.2% annual interest.
Find the balance in 2027.
Answer:
10,369.04
Step-by-step explanation:
Sorry if i'm wrong i got a little confused with this
Tap A can fill 8 pails of the exact capacity in 5 minutes.
Tap B can fill 7 of the same pails in 4 minutes.
Tap A and B are turned on together to fill a total of 16 pails.
How long will it take the two taps to fill the 16 pails together? Give your answer in minutes and seconds to
the nearest second.
Answer:
4min 47 seconds
Step-by-step explanation:
Together
8pails/5min + 7pails/4min = x
Use common denominator of 20
32/20 + 35/20 = 67pails/20min = 3.35pails/min
16/3.35 = 4.776119403 minutes
4min 60*0.776119403sec
4min 47 seconds
Damian has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Damian randomly removes a chew from the bag, records the result, and returns the chew to the bag. Damian performs the experiment 48 times. The results are shown below: A strawberry chew was selected 16 times. A cherry chew was selected 10 times. A peach chew was selected 22 times. Based on these results, express the probability that the next chew Damian removes from the bag will be cherry or peach as a fraction in simplest form.
Answer: 2/3
Step-by-step explanation:
The probability that the next chew Damian removes from the bag will be cherry or peach as a fraction in simplest form is 55/576
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability for the strawberry chews:
P(strawberry chews) = 16/48
Probability for the cherry chews:
P(cherry chews) = 10/48
Probability for the peach chews:
P(peach chews) = 22/48
Now the probability of cherry or peach = P(cherry)×P(peach)
[tex]=\frac{10}{48} \times\frac{22}{48}[/tex]
= 220/2304
= 55/576
Thus, the probability that the next chew Damian removes from the bag will be cherry or peach as a fraction in simplest form is 55/576
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Events A and B are mutually exclusive. Find the missing probability.
P(B) = 7/20 P(A or B) = 7/10 P(A) = ?
A) 3/5 B) 7/20 C)4/5 D) 1/5
Answer:
B, 7/20
Step-by-step explanation:
If two events are mutually exclusive that means that there is no intersection
so in the union formula: AUB=A+B-A∩B
A∩B=0
we can write P(a)=x
7/10=7/20+x+0
7/10-7/20=x
x=7/20
expand:X(3x-1)
please quickly
Answer:
[tex]x(3x - 1) \\ = {3x}^{2} - x[/tex]
Answer:
[tex]x(3x-1) = {3x}^{2} - x[/tex]
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
If the diameter of a cylinder is 6 yards, then the value of r2 is 9 square yards.
a.) True
b.) False

Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
6 is the diameter, so the radius would be 3.
3 x 3 = 9
If AJKL ~ AQRS,
find the value of x:
Answer:
14
Step-by-step explanation:
24/36=(x+4)/(2x-1)
. if 3, 2, y, 10 are in proportion, find the value of y
Answer:
y = 15
Step-by-step explanation:
Given :
3, 2, y, 10
If the numbers are in proportion :
We can thus say :
3/2 = y/10
Cross multiply
3 * 10 = 2 * y
30 = 2y
Divide both sides by 2
30 / 2 = 2y / 2
15 = y
I need help with this question and no links or I will report you
What is the area of the triangle?
Answer:
Area of triangle 12 ft^2 Area of shaded region 84 ft^2
Step-by-step explanation:
area of triangle 6 x 4 / 2 =12
Shaded region 96-12= 84 ft^2
Find the area of the circle use 3.14 for pie
Answer:
113.04
Step-by-step explanation:
The diameter is 12 so divide it by 2 to get the radius so its 6. Then, multiply the 6 with a 6 and multiply it by 3.14. Use the calculator and you get 113.04 to find the answer.
what is a lineary equation
Answer:
In mathematics, a linear equation is an equation that may be put in the form are the coefficients, which are often real numbers.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!!
Pls help me with this
Answer:
f(X)=2x is the correct answer
Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of the automobile in ten years.
Answer:
$9810.59
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 7300
r = 3% = 0.03
t = 10
Step 2: Solve for A
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle A = 7300(1 + 0.03)^{10}[/tex](Parenthesis) Add: [tex]\displaystyle A = 7300(1.03)^{10}[/tex]Evaluate exponents: [tex]\displaystyle A = 7300(1.34392)[/tex]Multiply: [tex]\displaystyle A = 9810.59[/tex]Choose all of the points that are solutions to 3x + 2y = 12.
A. (0.6)
B. (1,6)
C. (2,3)
D. (3,2)
E. (4,0)
F. (4,1)
G. (4,6)
Ans - A, C, E
Hope it helps You
Please mark as the brainliest
Thank You
The correct points to the equation. are (0,6) , C. (2,3) , E. (4,0) a
What is an Equation ?An equation, statement of equality between two expressions consisting of variables and/or numbers.
3x + 2y = 12
To determine the points that are solutions to this equation
we have to apply substitution method
1. 3 * (0) + 2*6 = 12 Correct
2. 3 + 12 = 12 Incorrect
3. 6 + 6 = 12 Correct
4. 9+4 = 12 Incorrect
5. 12 + 0 = 12 Correct
6. 12 + 2 = 12 Incorrect
7. 12 + 12 = 12 Incorrect
Therefore A. (0,6) , C. (2,3) , E. (4,0) are the correct points to the equation.
To know more about equation
https://brainly.com/question/10413253
#SPJ2
(2
(4+4)
X2
Answer
No step by step explanation just the answer
Answer:
1
Step-by-step explanation:
I had brainliest but some kid reported me soooooo
Jeb's weight w is 1/3rd of lago's weight a. Which equation could
be used to find Jeb's weight?
F: w=a-1/3
G:w=1/3(a)
H:w=1/3+a
J:w=a divided by 1/3
Answer:
:w=1/3(a)
Step-by-step explanation:
w = 1/3 × a
If Lago is 150lb, Jeb's =
1/3 x 150 = 50 lb
If Lago is 60lb, Jeb's =
1/3 x 60 = 20lb
Help PLZZ NO FILES NO FILES
Answer:
A.) you multiply the 3 and 2
Please help which is the greatest one!
Answer:
the Answer is 2^5
Step-by-step explanation:
Answer:
2^5
Step-by-step explanation:
5^2 = 25
2^5 = 32
3^3 = 27
1^10 = 1
Hope that this helps!
Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 6
Answer:
225
Step-by-step explanation:
Some other numbers that would work are:
255, 525, 555
Answer:
252, 522, 222, and 552
Step-by-step explanation:
For a number to be divisible by 6, it needs to be divisible by both 2 and 3. For a number to be divisible by 2, it needs to end in an even number, and the only even number we can use is 2.
So far our number is _ _ 2.
For a number to be divisible by three, its digits have to add up to a multiple of three. As of now we need to fill in the hundreds and tens place, and there are 4 combinations to check: 2, 5; 5, 2; 2, 2; and 5, 5.
Case #1: 2, 5
We are checking to see if the number 252 is divisible by six.
2 + 5 + 2 = 9
Since the numbers add up to a multiple of 3, 252 is divisible by 6.
Case #2: 5, 2
We are checking to see if the number 522 is divisible by six.
5 + 2 + 2 = 9
Since the numbers add up to a multiple of 3, 522 is divisible by 6.
Case #3: 2, 2
We are checking to see if the number 222 is divisible by six.
2 + 2 + 2 = 6
Since the numbers add up to a multiple of 3, 222 is divisible by 6.
Case #4: 5, 5
We are checking to see if the number 552 is divisible by six.
5 + 5 + 2 = 12
Since the numbers add up to a multiple of 3, 552 is divisible by 6.
please help will mark brainlist!!
Answer:
x=28
y=28
Step-by-step explanation:
Equation 1:
Dived both sides by 0.75 to remove 3/4 from x.
(x-12)=16
Now, add 12 to both sides.
x=28
Equation 2:
Same here, divide both sides by 0.75.
y-12=16
Add 12 to both sides.
y=28
The estimated difference of 3209 and 1893, when rounded off to the nearest ten is
o(a) 1300
(b) 1310
(c) 1320
0 (d) 1000
Answer:
[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]
[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]
Answer:
1320
Step-by-step explanation:
round off
3209 ≈ 3210
1893 ≈ 1890
estimated difference = 3210 - 1890 = 1320
What is the area of AABC?
B
2
X2
O
2
A
6
O A 26
B 13
OC 226
D
26
Answer:
[tex]Area = 13[/tex]
Step-by-step explanation:
Given
[tex]A = (4,0)[/tex] -- [tex]x1,y1[/tex]
[tex]B =(5,5)[/tex] -- [tex]x2,y2[/tex]
[tex]C =(0,6)[/tex] -- [tex]x3,y3[/tex]
Required
Area of ABC
This is calculated as:
[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]
This gives:
[tex]Area = \frac{1}{2}|4 * 5 - 5 *0 +5*6 - 0*5 + 0*0 - 4*6|[/tex]
Using a calculator, we have:
[tex]Area = \frac{1}{2}|26|[/tex]
Remove absolute bracket
[tex]Area = \frac{1}{2}*26[/tex]
[tex]Area = 13[/tex]
Look at the graph below. Identify the slope to create the equation.
Answer:
y +x and the answer will be xy
Colin is buying dirt to fill a garden bed that is a 9 ft by 18 ft rectangle. If he wants to fill it to a depth of 4
in, how many cubic yards of dirt does he need? If necessary, round to the nearest cubic yard. If dirt costs
530 per yd, how much will the project cost?
The project will require
|yd of dirt, and will costs
Select the correct answer.
Ms. Clint is comparing the sales of sweaters and gloves at her store for the past ten winter weeks.
Answer:
B. A linear function with a positive slope.
Step-by-step explanation:
A correlation can be defined as a numerical measure of the relationship existing between two variables (x and y).
In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.
1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).
2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).
3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and it has a positive slope which is always constant.
From the graph, we can deduce that the scatter points lie close to a straight line with a slope that is positive.
Hence, the type of function which best models the relationship between the sales of sweaters and gloves is a linear function.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Use an exponential inequality to determine the number of years, t, after which the area covered by purple loosestrife will
exceed 850 acres.
Type the correct answer in the box. Use numerals instead of words.
The area covered by purple loosestrife will be greater than 850 acres for t > ___ years.
Answer: t>3
Step-by-step explanation:
PLATO
Answer:
t > 5
Step-by-step explanation:
TERM 2: WEEK 8
CLASSWORK 1
1.
Solve the simultaneous equations using elimination method
4x - 3y = 1
x + 3y = 19c
a.
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
We notice that the coefficients of y are opposites, so we can eliminate y by adding the two equations together.
(4x -3y) +(x +3y) = (1) +(19)
5x = 20 . . . . . . simplify
x = 4 . . . . . . . . .divide by 5
Substituting into the second equation gives ...
4 +3y = 19
3y = 15 . . . . . . . subtract 4
y = 5 . . . . . . . . . divide by 3
The solution is (x, y) = (4, 5).